Answer:
496 + 2 (115) = 496 + 230
Step-by-step explanation:
The standard deviation uses the mean, which is 496 in this example. About 95% of the data falls withinTWO standard deviations from the mean. Double 115 and you get 230.
Answer is 496 + 2 (115) = 496 + 230
What is the common ratio of the sequence below?
2/3, 1/6, 1/24, 1/96,…
1/9
1/4
4
9
Describe fully the single transformation that takes shape P to shape Q.
Answer: Shape P is similar to shape Q, however, shape P, is smaller than shape Q.
A single transformation that takes shape P to shape Q is; a dilation by a scale factor of 3 with a center of dilation at .
Reasons:
The give figure shows;
The preimage figure = P
The image figure = Q
The image P is larger than the preimage Q, therefore, the figure, Q is a
dilation of the preimage P
(x₁, y₁) = A point on the preimage, P = (2, 3)
(x₂, y₂) = The corresponding point on the dilated image, Q = (4, 9)
k = The scale factor = 3
Therefore;
The center of dilation, (x₀, y₀) = (1, 0)
Therefore;
The single transformation that takes shape P to shape Q is a dilation by a scale factor of 3 with a center of dilation at (1, 0).
Learn more here:
brainly.com/question/14550988
Step-by-step explanation:
Use estimation to evaluate 8,627.5 ÷ 35
Answer:
246.5
Step-by-step explanation:
86275÷35
= 246.5
approximately 247
A satellite orbiting the earth uses radar to communicate with two control stations on the earth’s surface. The satellite’s orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth’s radius is 3,963 miles, answer the following questions. Round all answers to the nearest whole number.
1. Is there a right angle in the triangle shown by connecting the center of the earth, the satellite, and Station 1? How do you know? *Assume that the line connecting the satellite and Station 1 is tangent to the earth.
The number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48135 miles
How to find the distance of separation?Let us first find the distance from Station 1 to the satellite:
Using trigonometric ratio, we have;
tan 8.7 = length of longest leg/length of shortest leg
Thus;
tan 8.7 = 3963/length of longest leg
Length of longest leg = 3963/tan8.7°
Length of longest leg = 3963/0.15302150298
Length of longest leg = 25,898 miles
Distance from Station 2 to satellite:
Using trigonometric ratio again, we have;
sin 8.7 = length of longest leg/ length of hypotenuse
sin 8.7 = 3963/length of hypotenuse
Length of hypotenuse =3963/ sin 8.7
Length of hypotenuse =3963/0.1526082024
Length of hypotenuse = 26, 200 miles
Thus, the difference is;
26200 - 3,963 = 22237 miles
Total distance will calculated as;
25898 miles + 22237 miles = 48135 miles
Read more about Distance of separation at; https://brainly.com/question/20629991
#SPJ1
The complete question is:
A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.
How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?
A thief steals a number of rare plants from a nursery. On the way out, the thief meets three security guards, one after
another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the
thief leaves the nursery with 0 plants. How many plants were originally stolen?
Answer:
28 plant were stolen------------------------------------
Calculate it from end to start.
Before guard 3 he had:
(0 + 2)*2 = 4 plantsBefore guard 2 he had:
(4 + 2)*2 = 12 plantsBefore guard 1 he had:
(12 + 2)*2 = 28 plantsThis is the number of plants stolen.
At the beginning of a population study, a city had 230,000 people. Each year since, the population has grown by 2.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answer:
y = 0.028t + 230,000
Step-by-step explanation:
We know
t = number of years since the start of the study
y = be the city's population
Each year the population has grown by 2.8%, this is the slope
The city had 230,000 people, this is the y-intercept
2.8% = 0.028
The equation is y= mx + b
So, our equation in this case is
y = 0.028t + 230,000
If you can please give me a Brainliest, thank you, and have a good day!
(d) at the 0.05 level of significance, is there evidence of a linear relationship between the number of cases delivered and the delivery time?
Yes, there is evidence that the level of significance is taken at 0.05 or 5% when the p-value is low.
Level of significance: The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the level of significance, which is set by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. It is anticipated to determine whether the outcome is statistically significant enough to reject or prove the null hypothesis wrong.
The significance level is set at 0.05 or 5%. Low p-values indicate that the observed values differ significantly from the population value that was initially hypothesized. If the p-value is as small as possible, it is said to be more significant. Additionally, if the p-value is very low, the outcome would be highly significant. However, since obtaining a p-value below 0.05 is quite uncommon, p-values less than 0.05 are typically considered significant.
To know more about the significance level visit:
https://brainly.com/question/13947717
#SPJ4
Tom is buying a home for $144,000. He will make a 10% down payment and borrow the remaining balance for 30 years at 4.5%. His monthly mortgage payments will be $985.24. What total amount of interest will he pay over the 30 year loan?
PLEASE SHOW WORK
Answer:
Tom will pay a total of $58,064 in interest over the 30 year loan.
Step-by-step explanation:
The purchase price of the home is $144,000, and Tom will make a down payment of 10%, or $144,000 * 10/100 = $14,400.
Therefore, Tom borrows $144,000 - $14,400 = $129,600.
Next, we need to calculate the total number of payments he will make over the 30 year loan. Since the loan is for 30 years and the payments are made monthly, there will be 30 years * 12 months/year = <<30*12=360>>360 payments.
Finally, we can use the mortgage formula to calculate the total amount of interest Tom will pay over the loan:
I = P * r * t
Where:
I is the total interest
P is the principal (the amount borrowed)
r is the annual interest rate (in decimal form)
t is the number of payments
Plugging in the values, we get:
I = $129,600 * 0.045 * 360 payments
= $58,064
Help. (4x + 7)°
51°
the burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. find the number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles. use excel, and round your answer to two decimal places.
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.
When the distribution is normal, we use the z-score formula.
In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:
Z = (X – µ) / σ
What is Z-score?The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
So, in this case, given that:
µ = 249, σ = 20
The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:
100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.
Now, put all the values into the formula:
Z = (X – µ) / σ
–0.253 = (X – 249) / 20
X – 249 = –0.253 * 20
X = 244
Hence, the candle burns for 244 minutes.
Learn more about z-score at: https://brainly.com/question/15016913
#SPJ4
need help on this please!!!
In step 1, y was made the subject of the second equation to get:
y=5x-4
To proceed, the next step is to substitute the expression into the other equation, not the equation we solved for y.
8x+2y=-12
8x+2(5x-4)=-12
8x+10x-8=-12
18x=-12+8
18x=-4
x=-[tex]\frac{4}{18}[/tex]
x=[tex]\frac-{2}{9}[/tex]
answer= the value of x is -2/9
Find the complex numbers
please specify which answers are which
The complex number in each case will be 11 - 3i, 2 + i, and 5 - 6i.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The real part is 11 and the imaginary part is -3i. Then the complex number is given as,
⇒ 11 - 3i
The real part is 2 and the imaginary part is i. Then the complex number is given as,
⇒ 2 + i
The real part is 5 and the imaginary part is -6√(-1). Then the complex number is given as,
⇒ 5 - 6√(-1)
⇒ 5 - 6i
The complex number in each case will be 11 - 3i, 2 + i, and 5 - 6i.
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ1
The vertices of a cube or cuboid is suppposed to be V, side is E and surface is F, then which of the following is the relation between them? Write it.
1) V+E+F=2
2)V+E-F=2
3) V-E+F=2
4)V-E-F=2
The relation between the vertices of a cube or cuboid is V, the side is E, and the surface, F is V - E + F = 2. Option 3) is the correct answer.
What is the relationship between the vertice, face and side of a cube or cuboid?The vertice, face, and side of a cube or cuboid are related by Euler's Theorem. This theorem states that the number of faces, vertices, and edges of any polyhedron are related by Euler's formula.
Euler's formula can be stated as:
F + V = E + 2.
or
F + V - E = 2
where,
F = equal to the number of faces,
V = equal to the number of vertices
E = equal to the number of edges.
Learn more about vertices on
https://brainly.com/question/29080632
#SPJ1
The present age of the father is three times the age of his son. If the age of the son after 10 years is equal to the age of the father before 20 years, find the present ages of father and the son.
Answer:
Hi
Step-by-step explanation:
I am just reply to see if i really understand that problem
Let's assume s the present age of the son, and f the present age of the father.
The age of the son After 10 years is equal to the age of the father before 20 years:
s+10=f+10-20
f=3s
=> s+10=f-10
=> s+10=3s-10
=> 2s=20
=> s=10 and f=30
An employee receives a salary increase of 8% at the end of each full year working with a company. If the employee receives an initial salary of $35,400, which equation represents the employee’s salary, S, after t years since the employee began working with the company? Responses
The exponential function that represents the employee’s salary, S, after t years since the employee began working with the company is given as follows:
S(t) = 35400(1.08)^t.
What is an increasing exponential function?An increasing exponential function is modeled according to the rule presented as follows:
A(t) = A(0)(1 + r)^t.
The parameters are given as follows:
A(0) is the initial salary.r is the growth rate, as a decimal.An employee receives a salary increase of 8% at the end of each full year working with a company, hence the growth rate is given as follows:
r = 0.08.
The employee receives an initial salary of $35,400, hence the initial value is given as follows:
A(0) = 35400.
Thus the exponential function for this problem is defined as follows:
S(t) = 35400(1.08)^t.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
(d)
Most of the kinetic energy of the diver is transferred to the water.
How does this affect the thermal energy of the water?
Tick (✓) one box.
The thermal energy decreases.
The thermal energy stays the same.
The thermal energy increases.
Most of the kinetic energy of the water is transferred into the water, then the thermal energy will increase. Hence, option C is correct.
What is kinetic energy?Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.
The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.
As per the given information in the question,
When the kinetic energy of the diver is transferred into the water, the thermal energy will increase.
The entity's thermal energy grows as the average kinetic energies of its particles rise. As a result, an object's thermal energy rises as its temperature does.
To know more about Kinetic energy:
https://brainly.com/question/26472013
#SPJ1
How do you simplify 24 ⋅ 2^ − 2 ?
Answer:
Step-by-step explanation:
We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:24⋅2−2=24⋅12+2=244=6
Answer:
We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:
24⋅2−2= 24⋅1/2 OVER +2= 24/4= 6
Step-by-step explanation:
Jacob makes lemonade to sell at a carnival. He makes 20 cups of lemonade in 120 minutes. Working at this rate, how many cups of lemonade can Jacob make in 1 hour?
Answer:
10 cups
Step-by-step explanation:
120minutes divided into 60minutes = 2 hours
20 divided by 2 = 10 cups
2. Find the number of ways eight people can be seated in an eight-passenger van.
Hii can someone help with this please and thank you
Answer:
There are 8! (8 factorial) ways for 8 people to be seated in an 8-passenger van. This is because there are 8 choices for the first person to sit, 7 choices for the second person, 6 choices for the third person, and so on, until there is only 1 choice for the last person. Therefore, the total number of ways for the 8 people to be seated is 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 8!, which is equal to 40,320.
If 5 dollars can be exchanged for 7.7095 units of some foreign currency, how much of that currency can be obtained for 6 dollars?
If 5 dollars can be exchanged for 7.7095 units of some foreign currency, the unit of that currency that can be obtained for 6 dollars will be
How do we calculate how much currency can be obtained for 6 dollars?5 dollars can be exchanged for 7.7095 units. This means that 1 dollar equals to:
5 dollars / 5 = 7.7095 units / 5
1 dollar = 7.7095 units / 5
1 dollar = 1.5419 units.
Now, for 6 dollars, the foreign currency that can be obtained is:
= 6 * 1.5419 units
= 9.2514 units. Therefore, 9.2514 unit of the foreign currency can be obtained for 6 dollars.
Read more about foreign currency
brainly.com/question/25970050
#SPJ1
In the figure, quadrilaterals ABHI, BCDE, and EFGH are squares. Which statement can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH?
The statement that can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH is of:
D. BE² + BH² = EH².
How to obtain the areas?The area of a square of side length s is given by the side length squared, as follows:
A = s².
Hence the areas of each square on the image given at the end of the answer are given as follows:
Area of ABHI = AB² = BH² = HI² = AI² (all these side lengths are equal).Area of BCDE = BC² = CD² = DE² = EB².Area of EFGH = EH² = HG² = GF² = FE².Hence the correct statement regarding the areas is given as follows:
BE² + BH² = EH².
Meaning that statement D is correct.
Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about the area of an square at https://brainly.com/question/25092270
#SPJ1
what is the product of (5.1x10^3)x(3.2x10^3)
Answer:
Step-by-step explanation:
0 is the answer
ec question 14: t distributions homeworkunanswereddue today, 11:59 pm which of the following statements are true regarding the t distribution. select all that apply. multiple answers: multiple answers are accepted for this question select one or more answers and submit. for keyboard navigation...show more a the t distribution is left-skewed. b the t distribution is right-skewed. c the t distribution is symmetric. d the t distribution is defined by its degrees of freedom. e the t distribution is equivalent to the normal distribution. f as the degrees of freedom of a t distribution increase it approaches a standard normal distribution g a distribution is used for testing the population mean when the population standard deviation is known. h a distribution is used for testing the population mean when the population standard deviation is unknown.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution.
What is population variances?A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution. Because sample size is used to assess this degree of freedom, degrees of freedom are dependent on sample size.
The t distribution tends to follow a normal distribution as sample size rises. The degree of freedom is ultimately determined by the sample size, so as the degree of freedom rises, the t distribution tends to be a normal distribution.
To know more about population variances visit:
https://brainly.com/question/13708253
#SPJ4
Kamari is reading a novel for his English class. For the first 10 days, he records the number of pages he reads each day. His data is shown below.
14,10,8,20,15,15,12,10,14,20
What is the mean number of pages?
The mean number of pages is 13.8.
What is the mean?
There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
We have,
Kamari is reading a novel for his English class.
For the first 10 days, he records the number of pages he reads each day.
14,10,8,20,15,15,12,10,14,20
We have to calculate the mean of the number of pages he has red.
The mean is calculated by dividing the sum of all values in a data set by the number of values.
so,
14 + 10 + 8 + 20 + 15 + 15 + 12 + 10 + 14 + 20
= 138
Mean = 138 ÷ 10
= 13.8
Hence, the mean number of pages is 13.8.
To learn more about the mean visit,
https://brainly.com/question/20118982
#SPJ1
Math 2 MYP | 2.2a Checking for understanding
5 For the points P(10, 13), Q(17, 37), R(24, 13), and S(17, -11):
a Find the distances PQ, QR, RS and SP.
b Robin says: 'the lengths PQ, QR, RS and SP are all equal, so the shape
PQRS must be a square.' Determine whether Robin is correct.
c Robin's logical process was:
Premises:
Reasoning process:
Conclusion:
The four lengths are equal.
If a quadrilateral has four equal sides, then it is a square.
Since PQRS has four equal sides, it is a square.
PQRS is a square.
Explain the fault in Robin's logic.
Need help understanding how to Solve EBF = 6x+4 and CBF = 7x-2 find EBF
The measure of angle EBF is 40 degrees
How to determine the measure of angle EBF?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
EBF = 6x + 4
CBF = 7x - 2
Also from the question, we understand that the measures of angle EBF and the measure of angle CBF are congruent
This can be represented mathematically as follows
EBF = CBF
Substitute the known values in the above equation, so, we have the following representation
6x + 4 = 7x - 2
Multiply through by 1
6x + 4 = 7x - 2
Collect the like terms
7x - 6x = 4 + 2
Evaluate the like terms
x = 6
Recall that
EBF = 6x + 4
Substitute the known values in the above equation, so, we have the following representation
EBF = 6 x 6 + 4
Evaluate
EBF = 40
Hence, the measure is 40 degrees
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
Complete question
If the measures of angle EBF and the measure of angle CBF are congruent and EBF = 6x+4 and CBF = 7x-2 find EBF
Jane bought 3 shirts and returned 2 pairs of pants. Her friend Laura bought 4 shirts and 3 pairs of pants. Jane’s bill was $5 and Laura’s bill was $120. Write a systems of equations to determine the cost of a shirt, s, and the cost of a pair of pants, p.
The system of equations to determine the cost of a shirt and the cost of a pair of pants is 3s - 2p = $5 and 4s + 3p = $120
Define System of Equation
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given,
Jane bought 3 shirts and returned 2 pairs of pants
Laura bought 4 shirt and 3 pairs of pants.
Let, s = cost of shirt
and, p = cost of a pair of pants
The equation for Jane is
3s - 2p = $5
Here, -ve sign because Jane returned 2 pairs of pants and then bill was $5.
Now, the equation for Laura is
4s + 3p = $120
Here, +ve sign because Laura bought 4 shirt and 3 pairs of pants and then bill was $120.
So, the system of equation we get
3s - 2p = $5
4s + 3p = $120
After solving simultaneously we get the values s = 15 and p = 20.
Now, if you want to cross check then put the values of s and p in equations and it should be equal to RHS value like this,
for 1st equation,
3 * 15 - 2 * 20 ⇒ 45 - 40 = 5 (which is correct)
for 2nd equation,
4 * 15 + 3 * 20 ⇒ 60 + 60 = 120 (which is correct)
Hence, The system of equations to determine the cost of a shirt and the cost of a pair of pants is 3s - 2p = $5 and 4s + 3p = $120.
To read more about System of Equation.
https://brainly.com/question/25976025
#SPJ1
Hello guys I need help with this if you don’t mind.
Answer:
2? – (-6)x +(-27), x² + 6x – 27 = 0
Step-by-step explanation:
i used a calculator
write an equation of the line passing through the point (7,3) that is parallel to the line 4x - 7y = 9
Answer:
first you need to write the given equation in a standard form
4x - 7y = 9
-7y = -4x + 9
y = 4/7x - 9/7
*parallel lines have equal gradient
m = 4/7
y - y1 = m(x - x1)
y - 3 = 4/7(x -7)
y - 3 = 4/7x - 4
y = 4/7x - 1
your equation is y = 4/7x - 1
Answer:
[tex]y = \frac{4}{7} + 5[/tex]
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponent (& Root)
Multiplication
Division
Addition
Subtraction
~
First, subtract 4x from both sides of the equation:
4x (-4x) - 7y = 9 (-4x)
-7y = -4x + 9
Next, divide -7 from both sides of the equation:
(-7y)/-7 = (-4x + 9)/-7
[tex]y = \frac{-4x}{-7} + \frac{9}{-7}[/tex]
[tex]y = \frac{4}{7}x - \frac{9}{7}[/tex]
Next, as long as your slope (4/7) is the same, you can adjust the b (-9/7 for original) to get a parallel line.
In this case, I will utilize 5
[tex]y = \frac{4}{7}x + 5[/tex]
See attached image for the result. The blue line is the adjusted parallel line, while the red line is the original line given by the question.
~
Learn more about parallel lines, here: https://brainly.com/question/402319
Which of the following is a factor of (x+y)3−(x3+y3)? · x2+y2+2xy · x2+y2−xy · xy2 · 3xy ·
We know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.
What is algebraic identity?An identity element, also known as a neutral element, in a binary operation on a set is a set element that, when the operation is applied, leaves each element of the set untouched.
In algebraic structures like groups and rings, this idea is applied.
The left side of the equation equals the right side of the equation in an algebraic identity.
As an illustration, (a+b)2 = a2+2ab+b2 is true for all values of and b.
So, we have the equation:
(x + y)³ - (x³ + y³)
Now, get factors as follows:
Use the algebraic identity: (a + b)³ = a³ + b³ + 3ab (a + b)
x³ + y³ + 3xy (x + y) - x³ - y³
Simplify one more step to obtain:
3xy (x + y)
Therefore, we know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.
Know more about algebraic identity here:
https://brainly.com/question/28866660
#SPJ4
Correct question:
Which of the following is a factor of (x + y)3 - (x3 + y3 )
a. x² + y² + 2xy
b. x² + y² - xy
c. xy²
d. 3xy
