Answer:
ANSWER BELOW
Step-by-step explanation:
Given,
The length of a rectangle =6x
The width of the rectangle=x
84yd=2(6x+x)
84yd=12X+2X
=6
X=6
6X=6X6=36
Hence the length is 6 and the width is 36
Solve pls Brainliest
Answer:
C, D, E, and F
Step-by-step explanation:
C is correct because if you have a negative exponent in the denominator, you can make it positive by flipping the fraction over. Therefore, you end up with the simplified given expression.
D is correct because according to exponent rules, you subtract the exponents when you divide.
E is correct because they both equal 729 when calculated.
F is correct because the given expression equals 729 when calculated.
Please help! Given the isosceles triangle, determine n.
Answer:
n = 113°
Step-by-step explanation:
⭐What is an isosceles triangle?
a type of triangle where the opposite sides are congruent, and the angles opposite of the opposite sides are congruent⭐What is the exterior angles theorem?
the exterior angle is equal to the sum of the two angles opposite of the exterior angleIn this case, n is the exterior angle, because it is outside of the triangle.
The 46° is opposite of n.
Thus, we need to find the left base angle, because it is opposite of n, and use the exterior angles theorem to find n.
Knowing that the triangle is an isosceles triangle, we can make an equation to find the base angles.
The internal angles of a triangle sum to 180°. Let the base angles = x.
[tex]46 + x + x = 180[/tex]
[tex]46 + 2x = 180[/tex]
[tex]2x = 134[/tex]
Solving for one base angle:
[tex]x = 67[/tex]
∴ The left base angle is 67°
Now, apply the exterior angles theorem knowing the two angles opposite of n.
[tex]n = 46 + 67[/tex]
[tex]n = 113[/tex]
∴ n = 113°
⭐if this response helped you, please mark it the "brainliest"!⭐
What is the answer to this
The total income tax paid by Isabel last year was $3,230.
Define the term income tax?The term “income tax” refers to a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction. By law, taxpayers must file an income tax return annually to determine their tax obligations. Income taxes are a source of revenue for governments.Now, for the question.
Tax rate - 15% upto $8500.
Tax rate - 17% from $8500.
Total amount - $20,000.
Total income tax = 15% of $8500 + 17% of (20,000 - 8500)
Total income tax = 1,275 + 1,955
Total income tax = 3,230
Thus, the total income tax paid by Isabel last year was $3,230.
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find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe−x2/50, [−2, 10]
absolute maximum = 3.033
absolute minimum = -1.846
What are the absolute maximum and minimum?A point where the function achieves its highest value is known as an absolute maximum point. Similar to this, an absolute minimum point is the location at which the function's maximum value is obtained.
f(x) = x[tex]e^{-x^{2}/50 }[/tex] , [−2, 10]
f'(x) = x[tex]e^{-x^{2}/50 }[/tex] (-2x/50) + [tex]e^{-x^{2}/50 }[/tex] (1) = 0
-2[tex]x^{2}[/tex]/50 + 1 = 0
2[tex]x^{2}[/tex]/50 = 1
2[tex]x^{2}[/tex] = 50
[tex]x^{2}[/tex] = 25
x = +5 , -5
f(-2) = -2 [tex]e^{-2^{2} /50}[/tex] = -1.846
f(10) = 1.3353
f(5) = 3.033
absolute maximum = 3.033
absolute minimum = -1.846
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Condense the logarithm
log d +8log q
The value of the condensed logarithm is, log(dq^8).
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or [tex]log_1_0[/tex] = 3.
Given: log d + 8 log q.
We have to condense the given logarithm
Frist to simplify 8 log q by moving 8 inside the logarithm.
⇒ log(q)^8
⇒ log d + log(q^8)
Applying the product rule of logarithm
log(a) + log(b) = log(ab)
⇒ log d + log (q^8) = log(dq^8)
Hence, the condensed logarithm form of the given logarithm is, log(dq^8).
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5 . If there were 3490 no votes, what was the total number of votes?
The total number of votes will be equal to 7678.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 3490 no votes.
The number of yes votes will be,
Y/ N = 6 / 5
Y = ( 6 x N ) / 5
Y = ( 6 x 3490 ) /5
Y = 4188
Total number of votes,
T = Y + N
T = 4188 + 3490
T = 7678
Therefore, the total number of votes will be equal to 7678.
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What is 14 2/7 as a fraction?
14 2/7 as a fraction can be rewritten as 100/7. This is a Mixed fraction which is converted into Improper Fractions.
Fractions indicate pieces of a whole or group of items. A fraction is made up of two components. The number at the top of the line is referred to as the numerator. It specifies the number of equal sections of the whole or collection that are taken. The denominator is the number below the line. It displays the total number of equal sections into which the whole is divided or the total number of identical objects in a collection.
By multiplying the whole integer by the denominator and then adding it to the numerator, mixed fractions can be transformed into improper fractions. The denominator stays the same, but it becomes the new numerator.
Like for converting the mixed fraction to improper fraction we follow the below steps :
14 2/7 = ((14 X 7) + 2)/7
= (98 + 2) / 7
= 100/7
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Males and females are observed to react differently to a given set of circumstances. It has been observed that 70% of the females react positively to these circumstances, whereas only 40% of males react positively. A group of 20 people, 15 female and 5 male, was subjected to these circumstances, and the subjects were asked to describe their reactions on a written questionnaire. A response picked at random from the 20 was negative. What is the probability that it was that of a male?
The probability that it was that of a male is 2/5 .
This problem of probability can be solved using Baye's Theorem . In simple terms , Bayes' Theorem states that the conditional probability of an event, based on the occurrence of another event, is equal to the likelihood of the second event given the first event multiplied by the probability of the first event. Hence , proceeding accordingly -
Given in the question is :
P(Males reacting negatively = M) = 1-40%= 60% = 60/100
P(Females reacting negatively = F) = 1-70%= 30% = 30/100
Now , P(Females' response being selected= f) = 15/20
P(Males' response being selected = m ) = 5/20
P(M/m) = P(M) P(m)/ P(M) P(m) + P(F) P(f)
⇒ 5/30 × 60/100 ÷ 5/30 × 60/100 + 15/20 × 30/100
⇒ 300/300+450
⇒ 300/750
⇒ 2/5
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3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees. In the diagram, what is the measure of AngleWRS? 5° 7.5° 25° 37.5°
The measure of ∠WRS is 25°.
What is meaning of intersect point?
A graph intersection is a location where two or more graphs meet. It is a point that is the answer to an equational system. The intersection of two curves is the sole application of the TI series.
Given the points on a line are T, R, W.
The points on another line are V, R, S.
Both lines intersect at R.
Then another line that extends from point R to point Z between ∠VRW.
The angle ∠VRT is 5x° and the angle ∠TRS is (25x + 30)°.
∠VRS is a linear angle means ∠VRS = 180°.
Again,
∠VRS = ∠VRT + ∠TRS
Putting the value of ∠VRS, ∠VRT, ∠TRS
180° = 5x° + (25x + 30)°
180 = 30x + 30
Subtract 30 from both sides:
150 = 30x
Divide both sides by 30:
x = 5.
∠WRS is vertically opposite angle of ∠VRT.
Therefore ∠WRS = ∠VRT = 5x° = (5×5)° = 25°
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2.4 liters of tea were equally distributed to 40 mugs. How many milliliters of tea were in each mug?
Here each tea mug has 60 milliliters of tea.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
2.4 liters of tea were equally distributed to 40 mugs.
2400 milliliter of tea.
So each tea mug has = 2400/40 = 60 milliliters of tea.
Hence, each tea mug has 60 milliliters of tea.
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40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the second exam also passed the first exam ? next
50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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Suppose you conduct a test and your p-value is equal to {eq}0.93 {/eq}. What can you conclude?
a. Reject {eq}H_0 {/eq} at alpha equal to 0.10, 0.05, and 0.01.
b. Do not reject {eq}H_0 {/eq} at alpha equal to 0.10, 0.05, or 0.01.
c. Reject {eq}H_0 {/eq} at alpha = 0.10 but not at alpha = 0.05.
d. Reject {eq}H_0 {/eq} at alpha = 0.05 but not at alpha = 0.01.
e. Reject {eq}H_0 {/eq} at alpha = 0.01 but not at alpha = 0.05.
f. Reject {eq}H_0 {/eq} at alpha = 0.05 but not at alpha = 0.10.
Let's say you run a test, and your p-value comes out to be equal to 0.93. Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01 according to this conclusion.
The significance level is the likelihood that the researcher will conclude that the null hypothesis is false even though it is true. The validity and correctness of the data set are increased when the lower values of the significance level are used during the hypothesis testing.
The null hypothesis is disregarded if the p-value is less than the significance level.
Information Given: p=0.93
The test findings would be insignificant because the p-value is higher than the thresholds of 0.01, 0.05, and 0.10. This leads to the conclusion that at 0.01 and 0.05 and 0.10, the null hypothesis cannot be ruled out.
Therefore, option (b)—Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01—is the appropriate response.
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Segment QR is tangent to circle P at point Q. What is the measure of angle PQR? A. 37 B. 53 C. 90 D. 97
The measure of the angle PQR is 90° as Segment QR is tangent to the circle with center P. Hence, option C is the correct answer.
A tangent draw to a circle always makes a right angle with the radius of the circle. In simple words, we can say that the radius of the circle and the tangent segment are always perpendicular to each other.
Now we have, PQ as the radius of the circle, and segment QR is tangent to the circle with center P.
Thus, segment PQ is perpendicular to segment QR, so the angle PQR is equal to 90°.
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Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s2, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet.
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet.
The surface area of the large box is
times larger than the small box.
The giant box's surface area dwarfs that of the little box by = 8 times bigger than the tiny box.
what is surface area of cube ?The cube's surface area is calculated as six times the square of its side lengths. 6a2, where an is the cube's side length, serves as its representation. In essence, it is the overall surface area. Study Cube Volume as well.
given
Large boxes with a side length of 6 feet are produced by Z-Grand Shipping Company.
The business also produces little boxes with 3-foot sides.
surface are of large box is = 6*6*6
= 216 feet3
surface area of small box = 3*3*3
= 27 feet3
The giant box's surface area dwarfs that of the little box by = 8 times
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identify the number and type of solutions for the equation 9x2 − 12x 4 = 0.
Answer:
9x^2-12x+4=0
Step-by-step explanation:
you can use factorization method or Quadratic method (Almighty formular).
The number of the solution of the equation is 2 and the solution is equal and real which is 2/3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,
D = b² - 4ac
If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.The equation is given below.
9x² - 12x + 4 = 0
The discriminant is given as,
D = (-12)² - 4 x 9 x 4
D = 144 - 144
D = 0
Then the roots of the equation is given as,
9x² - 12x + 4 = 0
(3x)² - 2 · 3x · 2 + (2)² = 0
(3x - 2)² = 0
x = 2/3
The number of the solution of the equation is 2 and the solution is equal and real which is 2/3.
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a 90% confidence interval for a population mean is (69, 81). the population distribution is approximately normal and the population standard deviation is unknown. this confidence interval is based on a simple random sample of 25 observations. calculate the sample mean, the margin of error, and the sample standard deviation. (enter your sample mean and margin of error as whole numbers. round your sample standard deviation to two decimal places.)
The sample mean is 75.
Margin of error is 6.
Sample standard deviation is 17.53 .
What is the relationship between margin of error and confidence level?
Confidence level and marginal of error As the confidence level increases, the critical value increases and hence the margin of error increases. This is intuitive; the price paid for higher confidence level is that the margin of errors increases.
Part A:
The sample mean is at the midpoint of the lower and the upper values of the confidence interval.
Thus, the sample mean is given by:
=(69 + 81) / 2
= 150/2 = 75
Therefore, the sample mean is 75.
Part 2:
The margin of error is the distance between the upper and the lower confidence interval values from the sample mean.
Thus, margin of error is given by 81 - 75 = 75 - 69 = 6 .
Therefore, margin of error is 6.
Part 3:
The margin of error is given by
ME = t₍ᵃ/₂₎ ([tex]\frac{s}{\sqrt{n} }[/tex] )
where t₍ᵃ/₂₎ is the value of the t-distribution given the degree of freedom; s is the sample standard deviation and n is the sample size.
Since the sample size is 25, the degree of freedom is 25 - 1 = 24.
[tex]\frac{a}{2}[/tex] = [tex]\frac{1-0.9}{2}[/tex] = [tex]\frac{0.1}{2}[/tex] = 0.05
From the t-distrbution table, we have:
t₍ᵃ/₂₎ = 1.710882
Thus, margin of error is given by:
6=1.710882 [tex](\frac{s}{\sqrt{25} })[/tex]
⇒[tex]\frac{s}{\sqrt{25} }[/tex] = [tex]\frac{6}{1.710882}[/tex]
⇒s= 17.53
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what is meant by the trend component of a time series? how is a linear trend different from a nonlinear trend?
When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.
There are a total of four components in a time series model.
Trend, Seasonal, Cyclical, and Error.
Seasonal Component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year.
Cyclical Component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.
Error Term represents the changes in time series data that are unpredictable and can't be associated with a seasonal , cyclical component.
Trend Component is the long-term increase or decrease in a variable being measured over time.
When a relationship is plotted on a graph, a linear relationship results in a straight line; a nonlinear relationship, on the other hand, results in a curve.
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If 45% of a number is 36, what is the number?
Answer:
The number is 28.35
Step-by-step explanation:
45% of 36
[tex]\frac{x*y}{100}[/tex]
= [tex]\frac{45*36}{100}[/tex]
= [tex]\frac{2835}{100}[/tex]
= 28.35
Convert 1/12 to a decimal using division
Answer:
1÷12
Step-by-step explanation:
fractions can be converted to the decimal form by the long division method.
The fraction
can be written as
.
Let us do the long division for the given fraction.
What_is_1_12_as_a_decimal_img2
When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.
We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.
Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.
We can stop the division here as we know that the answer is a non-terminating decimal.
Hence the decimal form of the fraction
is 0.8333……
Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.
Boost your score What is 1/12 as a decimal img
Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.
Remember
Here are some common terms you should be familiar with.
In the fraction
, the number 1 is the dividend (our numerator)
The number 12 is our divisor (our denominator).
Find More Fractions to Decimals
1/1 = 1
1/8 = 0.125
3/4 = 0.75
7/9 = 0.7
11/16 = 0.6875
8/9 = 0.8
7/8 = 0.875
4/5 = 0.8
1/2 = 0.5
1/9 = 0.1
2/5 = 0.4
3/10 = 0.3
15/32 = 0.4687
7/10 = 0.7
5/9 = 0.5
4/7 = 0.571
1/3 = 0.3
1/10 = 0.1
5/6 = 0.83
2/11 = 0.18
3/5 = 0.6
3/11 = 0.27
9/10 = 0.9
1/4 = 0.25
1/11 = 0.09
2/7 = 0.28571
5/11 = 0.45
3/7 = 0.428571
6/11 = 0.54
4/11 = 0.36
1/5 = 0.2
1/12 = 0.083
5/7 = 0.71428
8/11 = 0.72
6/7 = 0.85714
7/12 = 0.583
7/16 = 0.4375
1/6 = 0.16
1/16 = 0.0625
3/8 = 0.375
5/12 = 0.416
5/8 = 0.625
5/16 = 0.3125
15/16 = 0.9375
1/7 = 0.142857
2/3 = 0.6
2/9 = 0.2
3/16 = 0.1875
A new car is purchased for 19000 dollars the value of the car depreciates at 7.75 per year how long will it be till the value reaches 6200
The car's value will decreases to $6,200 in about 8.65 years.
First, let's find the annual depreciation of the car. The car is purchased for $19,000 and depreciates at 7.75% per year, so the annual depreciation is:
⇒ 0.0775 x $19,000 = $1,478.50.
Now that we know the annual depreciation of the car, we can divide the difference in value by the annual depreciation to find out how long it will take for the value of the car to reach $6,200.
The value of the car decreases from $19,000 to $6,200, so the difference in value is :
⇒ $19,000 - $6,200 = $12,800.
Dividing this difference by the annual depreciation of $1,478.50:
⇒ $12,800 / $1,478.50 = 8.65 years.
Therefore, it will take approximately 8.65 years for the value of the car to reach $6,200.
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Differentiate the following function F(x)Ã gnments F(x)= (x5 -6x)2 jdy Plan A-¡ ii x-A>> X Li. adebooK hapter = (x^5 - 6x)^2
Differentiating F(x) gives 10[tex]x^{9}[/tex] - 72[tex]x^{5}[/tex] + 72[tex]x[/tex].
Differentiation, also referred to as derivatives, determines the rate at which one variable changes in relation to another, in this case, f(x) in relation to x. Finding the greatest or minimum conditions, or the best solution, is possible through differentiation. There are certain fundamental guidelines for differentiating functions.
lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function.
Partial derivatives in calculus are derivatives of multivariate functions taken with respect to only one variable in the function, treating other variables as though they were constants.
F(x) = ([tex]x^{5}[/tex] -6[tex]x[/tex])²
= [tex]x^{10}[/tex] -12[tex]x^{6}[/tex] + 36[tex]x^{2}[/tex]
dF(x)/dx = d( [tex]x^{10}[/tex] -12[tex]x^{6}[/tex] + 36[tex]x^{2}[/tex] )/dx
= 10[tex]x^{9}[/tex] -12 (6[tex]x^{5}[/tex]) + 36([tex]2x[/tex])
= 10[tex]x^{9}[/tex] - 72[tex]x^{5}[/tex] + 72[tex]x[/tex]
Thus, differentiating F(x) gives 10[tex]x^{9}[/tex] - 72[tex]x^{5}[/tex] + 72[tex]x[/tex].
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suppose that in the sample, 55 students said that they recycle. is this convincing evidence that more than half the students at the school would say they regularly recycle?
It is insufficient proof that more than half of the students at the school recycle.
Given :
suppose that in the sample, 55 students said that they recycle.
It is insufficient proof that more than half of the students at the school recycle because: "Yes" was replied by 55 out of 100 pupils.
= 55 / 100
= 0.55
We can see that the proportion 0.55 of has a lot of dots above it in the dot plot.
As a result, a proportion of 0.55 is quite likely to be obtained when the genuine proportion is 0.5, and there is insufficient evidence to support the assertion that more than half of the school's students recycle.
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the periodic interest rate for a loan with an annual interest rate of 15.98% compounded weekly is 0.3073%, rounded to four decimal places.
a. True
b. False
The answer is false because the answer will be 0.04863%
To find the periodic interest rate we have to know about the following terms:-
Interest Rate (R)
It is the nominal interest rate or "stated rate" in percent. r = R/100
Compounding Periods (m)
It is the number of times compounding will occur during a period.
Periodic Interest Rate (P)
This is the rate per compounding period, such as per month when your period is year and compounding is 12 times per year.
R ={ (1 + i/m) to the power m/n - 1 }
Where,
i = nominal annual rate
n = number of payments per year i.e., 12 for monthly payment, 1 for yearly payment and so on.
m = number of compounding periods per year
The period interest rate per payment is integral to the calculation of annuity instruments including loans and investments.
So, R = 0.04863%
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the parabolic cross section of an arch is 10 feet wide at ground level. write an equation that represents the cross section of the arch with its vertex at (0, 0) and its focus 0.5 foot below the vertex. what is the height of the arch?
The equation of an arch for the given parabolic cross section is
y = -2x² and its height is equal to 50 feet.
As given in the question,
Vertex of the parabola ( h , k ) = (0 , 0)
Focus is 0.5 foot below the given vertex.
Distance between focus and vertex 'a' = - 0.5
Standard equation of the parabola is given by:
( y - k ) = 4a ( x - h)²
Substitute the values we get,
( y - 0 ) = 4× (-0.5) ( x - 0)²
⇒ y = -2x²
Equation to represent the cross section of the given arch is
y = -2x²
Arch is 10 feet wide at ground level
⇒ x = 5 feet
Height of the arch is '( 0 - y)'
⇒ ( 0- y ) = 0 - 2(5)²
= 50 feet
Therefore , the equation and height of the arch for the given parabolic cross section is equal to y = -2x² and 50 feet respectively.
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1. (xa – 1)3(xa – 4)-2
Answer:
3x2a2-15xa+10
Step-by-step explanation:
Prompt
Your friend wants to begin a weight training program that focuses on improving muscular endurance. Write a weight training program for your friend that will increase his or her muscular endurance. How should it change over time, and how can your friend track changes in muscular endurance?
A weight training program for a friend that will increase his or her muscular endurance:
Legs: barbell back squats — 3 sets of 5 reps.
Chest: flat barbell bench press — 3 set of 5 reps.
Back: seated cable rows — 3 sets of 6–8 reps.
Shoulders: seated shoulder press — 3 sets of 6–8 reps.
What is muscular endurance?The ability of a muscle or group of muscles to perform repetitive contractions against a force for an extended period of time is referred to as muscular endurance. The more muscular endurance you have, the more repetitions you can do.
Muscular endurance is the ability to contract a muscle or group of muscles against resistance, such as weights or body weight, for an extended period of time. Increasing these muscles' performance means they can continue to contract and work against these forces.
The workouts should be done on Mondays, Wednesdays, Fridays, and Saturdays. That way, you can take a day off between upper-body-focused workouts. Each of the four weekly workouts consists of five moves that you will perform in straight sets.
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to estimate the average cost of flowers for summer weddings in a certain region, a journalist selected a random sample of 15 summer weddings that were held in the state. a graph of the sample data showed an approximately symmetric distribution with no outliers. the sample mean and standard deviation were $734 and $102, respectively. the journalist will create a 95 percent confidence interval to estimate the population mean. have all conditions for inference been met?
No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.
Based on the information provided, it was reported that a journalist chose a random sample of 15 summer weddings that were hosted in the state in order to determine the average cost of flowers for summer weddings in a particular region.Note that the Z test usually includes more than 30 samples. 15 samples were used in this instance.Because of this, it is not possible to assume the sampling distribution from the sample size.Learn more about sampling on:
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Solve for x. Finals are soon need for an assignment!! Please help!
Using the concept of similar triangle and rule for the proportionality of it's sides, The answer is x=2.
What is a triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.
What is similar triangle?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Triangle ADE and Triangle ABC are similar in nature.
using the rule of proportionality of sides of the similar triangle, We have,
[tex]\frac{2+x}{2} = \frac{2}{1}[/tex]
x+2=4
x=4-2
x=2
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Shuja conducted a series of surveys asking respondents about the amount of time they spend cleaning their homes each week. Each sample contains 40 responses, and the standard error of the mean is 1.36. What is the standard deviation? Round your answer to the nearest hundredth.
The standard deviation of the distribution is 8.60
How to determine the standard deviation?From the question, we have the following parameters that can be used in our computation:
Sample size = 40
Standard error of the mean = 1.36
These parameters mean that
n = 40
SE = 1.36
The standard deviation is then calculated as
SE = σ/√n
Where
σ = standard deviation
Make σ the subject
σ = SE * √n
So, we have
σ = 1.36 * √40
Evaluate
σ = 8.60
Hence, the standard deviation is 8.60
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a lump-sum distribution is reported on form 1099-r. what is the significance of box 7 having a code a
The lump-sum distribution includes employer securities and the payer reported an amount in box 7.
A lump-sum distribution is when all of a plan participant's remaining balance from all of the employer's eligible plans of one kind are distributed or paid to them in one tax year (for example, pension, profit-sharing, or stock bonus plans).
The net unrealized appreciation (NUA) in employer securities is typically not subject to tax until you sell the securities, even if the lump-sum distribution includes employer securities and the payer reported a sum in box 7 of your Form 1099-R, Distributions From Pensions, Annuities, Retirement or Profit-Sharing Plans, IRAs, Insurance Contracts, etc. for NUA in employer securities. You may, however, decide to include the NUA in your income in the year that you receive the securities.
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