Answer:
60.68
Step-by-step explanation:
9*6+.78*6=60.68
A report card shows that a student earns 21 21 points on a test with a total of 25 25 points. What percentage of the total points has the student earned on the test?.
When a report card shows that a student has earned 21 points on a test with a total of 25 points, it can be concluded to state that the student has secured 84 percentage of the total points of the test.
The computation of the percentage of points secured by the student out of the total available points in a test can be done using the generalized formula and the use of provided information into the same as below,
Percentage = Scored Secured / Total Points x 100
Percentage = 21 / 25 × 100
Percentage = 0.84 × 100
Percentage = 84 percentage.
Therefore, the student has earned 84 percentage of total points on a test.
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the vertices of a triangle are A(-2,1), B(2,2) and C(6,-2). find the equation of the altitude AD drawn from A to BC
Answer:
To find the equation of the altitude from point A to side BC, we can use the formula for the equation of a line in point-slope form, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
We can find the slope of the line by using the formula for the slope of a line between two points:
m = (y2 - y1)/(x2 - x1)
We can use this formula to find the slope of line BC, which is the line connecting points B and C. Substituting the coordinates of these points into the formula gives us:
m = (2 - (-2))/(2 - 6) = 4/-4 = -1
Next, we can use the point-slope form of the equation of a line to find the equation of the altitude from point A to line BC. Substituting the coordinates of point A and the slope of line BC into the point-slope formula gives us:
y - 1 = -1(x + 2)
This is the equation of the altitude from point A to line BC.
Step-by-step explanation:
SELF EXPLANATORY
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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-5-4-3-
-3--
(0, 2)
--5+
64
(-3,-7)
2 3 4 5 x
Which linear inequality is represented by the graph?
Oy<3x + 2
Oy> 3x+2
Oy< = x+2
Oy>=x+2
Answer:
b
Step-by-step explanation:
The equation that represents the graph will be y > 3x + 2. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the graph, the two points are (0, 2) and (-3, -7). The region above the line is considered, then the equation is written as,
(y - 2) > [(2 + 7) / (0 + 3)] (x - 0)
y - 2 > 3x
y > 3x + 2
The equation that represents the graph will be y > 3x + 2. Then the correct option is B.
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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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at which minimum altitude should you cross the stakk intersection? a. 10,200 feet msl. b. 11,800 feet msl. c. 10,800 feet msl.
Answer: 6,500 feet MSL
Step-by-step explanation:
I don't think any options you provide have the correct answer! It should be 6,500 feet MSL
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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3 more than a number times 6 is 15
Answer:
number is 2
Step-by-step explanation:
let the number be n then 6 times the number is 6n , so
6n + 3 = 15 ( subtract 3 from both sides )
6n = 12 ( divide both sides by 6 )
n = 2
the number required is 2
Solve the inequality.
3d-6>21?
Answer:
d>9
Step-by-step explanation:
You need to do inverse operations to isolate the variable (d)
3d-6>21
get ride of the six by doing its inverse. The opposite of subtraction is addition so you'd add 6 to both sides. this moves the six to the other side of the inequality sign
3d>27
now that the variable is isolated the final step is to divide by the coefficient (3). 3/3 is 1, effectively giving you d, and 27/3=9
d>9
in this case you do not flip the sign as you did not divide by a negative
What absolute value function is represented by the graph?
Answer: y=|x+1.5|
Step-by-step explanation:
y=|x+1.5|
A pool technician recorded the water loss in the pool from a drain leak over time. Hours (x) 2 4 6 8 Water loss (gal) (y) 4 8 12 16 The water loss is proportional to the time. How long will it take the pool to lose 120 gallons of water?
Answer:
60 hours to lose 120 gallons of water.
Step-by-step explanation:
Make a spreadsheet of the data with 3 columns. The first will contain the hours and the second will contain the gallons of water lost. (attached). It would be useful to have a water loss rate, such as gallons lost per hour. So in the third column, take the gallons of water for that line and divide it by the hours for that same line. Do this for each of the line entries, as shown. The first thing to note is that they are all the same. Perfect! (and important). This means we can use the rate of 2 gallons per hour and multiply it by the number of hours to find the total water lost:
(Rate[gal/hr])x(Time[hr]) = Gallons water lost
The question is how mush time until 120 gallons are lost. The unknown is the hours, which we'll call x. Now we can set up the equation and solve for x:
(Rate[gal/hr])*(Time[hr]) = Gallons water lost
(2 gal/hr)*(x) = 120 gallons water
x = 60 hours to lose 120 gallons of water.
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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Solve for inequality. -3+21a-2a>111
Answer: a>6
Step-by-step explanation:
-3+21a-2a>111
Collect like terms on the left side
19a-3>111
Add 3 to both sides to solve for a terms
19a-3+3>111+3
19a>114
Divide both sides by 19
19a/19>114/19
a>6
[tex]-3+21a-2a > 111[/tex]
Simplify:
[tex]19a-3 > 111[/tex]
Add 3 to both sides:
[tex]19a-3+3 > 111+3[/tex]
[tex]19a > 114[/tex]
Divide both sides by 19:
[tex]\dfrac{19a}{19} > \dfrac{144}{19}[/tex]
[tex]\fbox{a} > \fbox{6}[/tex]
[tex]a > 6[/tex] on a graph:
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°
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Why is standard deviation not a measure of central tendency ?
A standard deviation (or σ) is a tool to measure how dispersed the data is in relation to the mean. While, in statistics, a central tendency is a central or typical value for a probability distribution. Some of the most common measures of central tendency consist of the arithmetic mean, the median, and the mode. Deviation means a change or a distance. But change is always followed by the word 'from'. Hence standard deviation is a measure of change or the distance from a measure of central tendency- which is normally the mean. Hence, standard deviation is different from a measure of central tendency.
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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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determine weather the relationship between the two quantitates is porptional
The answer to the provided question is No, because the graph of the line connecting the ordered pairs does not pass through the origin.
what is proportionality?When two numbers or variables are linearly connected in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable declines in proportion to the other when it falls below 1/100th of its former value.
The relationship has the following form when two linear variables are directly proportional.
=> y = mx
where the constant ratio of change between the variables is denoted by m.
The graph of the direct proportion is a straight line that goes through the origin, which is one of its key characteristics.
You can see in the example image, though, that the line generated by those points won't cross the coordinate system's origin.
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find the flux of the constant vector field v→=3i→ 2j→−5k→ through a square plate of area 25 in the xz-plane oriented in the positive y-direction.
The flux across a surface is an indicator of the rate at which fluid is flowing through it when there is a fluid flowing in three dimensions and a surface positioned inside that space.
What is Electric Flux?A feature of an electric field is electric flux. One way to conceptualize it is as the quantity of forces interacting in a specific space. According to conventional wisdom, electric field lines begin with positive electric charges and conclude with negative charges. A closed surface's field lines are seen as negative when they are directed into it, and as positive when they are directed out of it.Every field line that is directed into a closed surface continues through the interior and is often directed outward somewhere else on the surface if there is no net charge present within the surface. The net, or total, electric flux is zero because the size of the negative and positive fluxes are just about equal.A closed surface that contains a net charge will have a total flux that is proportional to the enclosed charge, positive if it is positive and negative if it is negative.To Learn more About flux across refer to:
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Answer:
The flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
What is Flux?
Any effect that seems to pass through or move through a surface or substance is referred to as a flux, whether it actually flows or not. There are numerous applications of the concept of flux in applied mathematics and vector calculus. Flux, a vector quantity that describes the size and direction of the flow of a substance or attribute for transport phenomena. Flux is a scalar number in vector calculus, defined as the surface integral of a vector field's perpendicular component over a surface.
According to question
The flux of an field is given by,
ΦE = E.A = EA cos θ
where θ is the angle formed by the field lines and the normal (perpendicular) to the surface, S, and E, the magnitude of the field
vector field is v→=3i→ 2j→−5k→
Solving for each direction separately
Clearly
For i and k then flux is Zero because the angle b/w field and normal to surface is 90° and Cos(90) = 0
Now for j
E = 2
S = 25
θ = 0° (cos0° = 1)
Φ = EScosθ
= 2*25*1
= 50
Therefore, the flux of the field through a square of 25 area whose plane is the xz-plane oriented in the positive y-direction.is 50
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A sociologist is studying the effect of having children within the first 2 years of marriage on the divorce rate. Using hospital birth records, she selects a simple random sample of 200 couples who had children within the first 2 years of marriage. Following up on these couples, she finds that 80 couples are divorced within 5 years. Let p= the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years. What is a 90% plus four confidence interval for the proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years?
Question options:
0.402 ± 0.088
0.402 ± 0.067
0.402 ± 0.057
0.402 ± 0.035
the confidence interval for 90% plus four is 0.4±0.067
what is confidence interval?It refers to an average value of our estimated value plus and minus the variation of the estimated value.
why confidence interval is important in the statistics?In the statistics confidence level indicates the level of reliability of a particular estimation.
Let, p is the population proportion of couples who had children within the first 2 years of marriage and are divorced within 5 years.
as per above question p=80
number of random samples = n
n=200
now q is the ratio of p/ number of random samples
q= 80/200 = .04
now confidence interval for 90% plus 4 that means 94% confidence interval is calculated by the formula = q±Zc√{q(1-q)/n}
= 0.4±1.94√{0.4(1-0.4)/200}
where, zc is the z-score for 94% confidence interval and zc=1.94,
hence, confidence interval for 94% = 0.4±0.067
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Determine the measure of the indicated angle 100 80 90 or 110
Answer: The answer is 80 degrees
Step-by-step explanation:
Interior consecutive angles add up to 180 degrees
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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a partially completed chart shows the hierarchy of a set of polygons. what is missing in box 3?
The hierarchy of a group of polygons is depicted in a half finished chart. In box 3, the parallelogram is missing.
Explain about the parallelogram?According to the parallelogram law, the sum of the squares along the four sides of a parallelogram equals the sum of the squares along the two diagonals. The parallelogram must have equal opposed sides in order to be considered a parallelogram in Euclidean geometry. (AC)2 + (BD)2 is equal to 2(AB)2 + 2(BC)2.
No, a parallelogram's angles are not all equal. A parallelogram's opposed angles are equal, and its successive (adjacent) angles are additional, according to two fundamental theorems concerning angles. There are 4 different kinds of parallelograms, including 3 unique kinds. The four types are rhombuses, squares, parallelograms, and rectangles.
one polygon
Quadrilateral two
parallelogram of three
rectangles four rhombus five
Square six
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Answer:
Parallelogram is missing in box 3 of the hierarchy of a group of polygons is depicted in a half finished chart.
Explain about the parallelogram?
The parallelogram law states that the sum of the squares along a parallelogram's four sides equals the sum of the squares along its two diagonals. In Euclidean geometry, the parallelogram must have equal opposite sides in order to be regarded as such. 2(AB)2 + 2(BC)2 is the same as (AC)2 + (BD)2.
No, the angles of a parallelogram are not all equal. Two fundamental theorems of angles state that the opposed angles of a parallelogram are equal and the succeeding (adjacent) angles are additional. Parallelograms come in 4 varieties, including 3 special varieties. Rhombuses, squares, parallelograms, and rectangles are the four types.
one polygon → Quadrilateral two →
parallelogram of three ⇒
( rectangles four) , ( rhombus five) →
Square six
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what is 9.086-2.419 estimated
There are 140 students in the seventh grade, and 25% are in the Environmental Club.
How many students are in the Environmental Club?
The answer is 35
140 times 0.25
relationship between integers and zero
The difference is zero lies in the middle of the number line and it is itself an additive identity.
What is number line?
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.
An integer is positive if it exceeds zero and negative if it falls below zero. Zero is described as being neither positive nor negative.
Hence, The difference is zero lies in the middle of the number line and it is itself an additive identity.
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In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither.
Find probability that a student chosen at random has a cat or a dog.
The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.
What is probability?
Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.
Main body:
According to the question, the total number of students is; 25.
15 of them have a cat
16 of them have a dog
while, 3 of them have neither
where, x = number if students who own a cat and a dog.
Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.
-x = 25 - 34
In essence, x = 9
the number of students who own a cat and a dog is 9.
Therefore, probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.
Therefore probability that a student chosen at random has a cat or a dog is 22/25.
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if n is an integer for which the greatest common factor of n and 18 is 6 and the least common multiple of n and 9 is 126, what is the value of n?'
The value of n is 42.
What is greatest common factor?
Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.Similarily , for 42 and 18 , greatest Common Factor is 6.
What is least common multiple?
The least common multiple of two numbers is the smallest number that is a multiple of both of them.
How do you find least common multiple?
Find the LCM by listing multiples.
List the first several multiples of each number.Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number.Look for the smallest number that is common to both lists.This number is the LCM.thus , LCM of 42 and 9 is 126.
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(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
What is the circumference of a circle with a radius of 14 feet? Use 22 over 7 for π.
Answer:
88 feet
Step-by-step explanation:
Use this formula
Circumference= 2*22/7*Radius
22/7 * 14=
2*44 =
88 feet
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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