Ricky ran 3/4 of a mile in 1/12 of an hour. What was Ricky´s average speed?

Answer:

C. 25 mph

Step-by-step explanation:

First, find his speed in miles per hour:

250/2.5

= 100

This means he was going 100 mph

To find how much he was going over, subtract 75 from this

100 - 75

= 25

So, he was going 25 mph over the speed limit

The correct answer is C, 25 mph

Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.

Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.

To find the compound interest, the formula used is:

A= P(1+r/n)^nt.

Where

P is the principal sum= $3500

r is the rate = 0.035

n is the compounding period = 12 months.

t is the time = 6 years.

Substituting them in the equation, we have:

A = 3500 ( 1 + 0.035/12)^12×6

Working out the one in the bracket and multiplying the exponent, we have:

A = 3500 (1.00291667)^72

Note: We got 72 by multiplying 12 by 6.

1.00291667 raised to the power of 72 = 1.23330133

A = 3500× 1.23330133 = $4,316.55

Ans: $4,316.55

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Answer:

increasing exponential function.

Step-by-step explanation:

We can see from the table that the function is not increasing by the same amount as it goes up by 1 in x, so it is not linear.

It  must be exponential.

It is increasing at it increases in x, so it is an increasing exponential function.

Answer:

x= -2

y= 0

Step-by-step explanation:

check answer

5(-2)-4(0)= -10

-10-0= -10 (TRUE)

-4(-2)+5(0)= 8

8+0= 8 (TRUE)

Answer: 5x−4y=−10;−4x+5y=8

Step-by-step explanation:

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Given:

Required:

To calculate which option is correct

Explanation:

Required answer:

Option d

Answer:

24cm squared

Step-by-step explanation:

do base x height = 48 then as it is half of a square you half it.

Answer:

x= 10

Step-by-step explanation:

To find the length of JK, take 72cm- 10 cm=62cm

62= 8x-18

8x=62+18

8x=80

x=10

The estimated intercepts are:

x-intercepts: (-1, 0) and (2, 0)

y-intercept: (0, 2).

We may take an approximation reading from the graph and use it to estimate the intercepts of the graph of the function y = -x2 - x + 2:

The graph's x-intercepts are the locations where it crosses the x-axis, indicating that y = 0. We can see from the graph that the x-intercepts are about at x = -1 and x = 2.

The graph's intersection with the y-axis, known as the y-intercept, indicates that x = 0. The graph indicates that the y-intercept is roughly at y = 2.

The estimated intercepts are as follows:

x-intercepts: (-1, 0) and (2, 0)

y-intercept: (0, 2)

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Answer: 30:5 & 6:1

Step-by-step explanation:

30/5 = 6

5/5 = 1

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

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The ramp rises 8.79 inches from the lowest point on the ground to the nearest hundredth.

A right angle triangle has a 90 degree angle as one of its angles. Trigonometric ratios can be used to determine the sides. The length of the fiberboard becomes the hypotenuse of the right triangle that is so constructed. As a result, the ramp rises 8.79 inches from the ground at its tallest point to the closest hundredth.

The opposite side of the right triangle is the height of the ramp that is created.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

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Answer:

Rigged

Step-by-step explanation:

The 9th grade system is rigged.

Answer:

400 + .03(250,000) = $7900

Step-by-step explanation:

Answer:

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Did not receive an above average grade.

Event B: Did not attend class regularly.

Probability of an student not receiving an above average grade:

100 - 40 = 60% of 70%(attend class regularly).

100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).

So

\(P(A) = 0.6*0.7 + 0.9*0.3 = 0.69\)

Did not receive an above average grade and did not attend class regularly:

90% of 30%. So

\(P(A \cap B) = 0.9*0.3 = 0.27\)

Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913\)

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

631

Step-by-step explanation:

15+(0.05x131)=21.55

131+500=631

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Answer:

0.133 mm

Step-by-step explanation:

From the question,

Density (D) = mass (m)/Volume (V).................... Equation 1

D = m/V

make V the subject of the equation

V = D×m............................ Equation 2

Given: D = 2.7 g/cm³, m = 2.568 g

Substitute into equation 2

V = 2.7(2.568)

V = 6.934 cm³.

But,

Thickness (n) = Volume/Area

n = V/A......................... Equation 3

Where A = Area of the square foil  = 22.86² = 522.58 cm²

n = 6.934/522.58

n = 0.0133 cm.

n = 0.133 mm

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

The area of the polygon is 696

A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.

The area of a polygon is is expressed as

A = 1/2 × p × a

where p is the perimeter and a is the apothem

perimeter = n × s

where n is the number of side and s is the side length.

P = 8 × 12 = 96

A = 1/2 × 96 × 14.5

A = 1392/2

A = 696

Therefore the area of the polygon is 696

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The value of x is for the two rectangular table to have the same area is 6 or -1.

The dimensions of table one is x+4 and x, hence the area is:

Area = length * breadth

A = (x + 4)(x)

A = x² + 4x

The dimensions of table two is 2x + 3 and x - 2, hence the area is:

Area = length * breadth

A = (2x + 3)(x - 2)

A = 2x² - 4x + 3x - 6

A = 2x² - x - 6

Since both tables have same area, hence:

x² + 4x = 2x² - x - 6

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + 1(x - 6) = 0

(x + 1)(x - 6) = 0

x = -1 or 6

The value of x is 6

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a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis

What is the P-value?

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

a. The parameter of interest is the mean weight of loaves of bread produced at the bakery.

The null hypothesis is that the mean weight is equal to 1 pound, and the alternative hypothesis is that the mean weight is less than 1 pound. We can express these hypotheses as follows:

H0: μ = 1

Ha: μ < 1

b. There is some evidence for the alternative hypothesis because the sample mean weight of the bread loaves is less than 1 pound.

If the null hypothesis were true (i.e., the true mean weight is 1 pound), we would expect the sample mean to be close to 1 pound.

The fact that it is less than 1 pound suggests that the new employees may be producing loaves that are too light.

c. The P-value for the test in part (a) is not given, so we cannot interpret it. However, if the P-value were given and it was less than the significance level (e.g., 0.05), we would interpret it as the probability of observing a sample mean at least as extreme as the one we obtained, assuming that the null hypothesis is true.

d. To make a conclusion at the significance level (e.g., 0.05), we would compare the P-value (if given) to the significance level.

If the P-value is less than or equal to the significance level, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean weight of the bread loaves is less than 1 pound.

If the P-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that we do not have enough evidence to suggest that the true mean weight is less than 1 pound.

Hence, a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound.  c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis.

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Answer:

yay girl I like it like that

Answer:

the answer is

C)-9/15-2/5=-1/5

Answer:

\({:}\longrightarrow\)\(\sf 5x-2=x+8 \)

\({:}\longrightarrow\)\(\sf 5x-x=8+2 \)

\({:}\longrightarrow\)\(\sf 4x=10 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {10}{4}}\)

\({:}\longrightarrow\)\(\sf x={\dfrac {5}{2}}\)

\({:}\longrightarrow\)\(\sf x=2.5 \)

Answer:

#(1) : (1,26) (2,13)

#2: (1,9) (3,3)

#3: (1,37)

#4: (1,24) (2,12) (3,8) (4,6)

#5: (1,19)