During basketball practice, Rashed made 36 free throws in 3 minutes. How many
free throws will he make in 5 minutes?

Answer:

Between 25 and -18 is 0.

Between -18 and -12 (in the corner) is again, 0.

Between -12 and -18 (left side corner, bottom) is 5.

Between 0 and -12 (top left corner) is -18.

Between 0 and 5 (top of page) is 25

Between 5 and -12 (bottom right corner) is 0

Between -18 and 25 (middle) is 5

Between -18 and 0 (middle) is -12

Between -12 and 0 (middle-left) is 5

Between -12 and -18 (not corner, but above it) is 25.

Step-by-step explanation:

I don't really have a explanation, other than elimination.

Answer:

Step-by-step explanation: Don't have an explanation except elimination.

Based on the given information, we can set up the following hypotheses for the hypothesis test:

Null Hypothesis (H0): The actual proportion of people taking the cruise within 1 year is equal to the believed proportion of 5%.

Alternative Hypothesis (H1): The actual proportion of people taking the cruise within 1 year is not equal to the believed proportion of 5%.

Let p be the proportion of people taking the cruise within 1 year. We can use the sample proportion, denoted as p-hat, which is calculated as the ratio of the number of people who took the cruise within 1 year (3 in this case) to the total number of people who requested the brochures (100 in this case).

Given that the significance level is 0.05, we can use a z-test to compare the sample proportion with the believed proportion of 5%. The z-test statistic is calculated as:

z = (p-hat - p) / sqrt(p * (1 - p) / n)

where n is the sample size, which is 100 in this case.

Now we can calculate the z-test statistic and compare it with the critical value for a two-tailed test at a significance level of 0.05. If the calculated z-test statistic falls outside the critical value, we would reject the null hypothesis; otherwise, we would fail to reject the null hypothesis.

Since the sample proportion p-hat is 3/100 = 0.03, and the believed proportion p is 0.05, we can substitute these values into the z-test formula:

z = (0.03 - 0.05) / sqrt(0.05 * (1 - 0.05) / 100)

Calculating the above expression, we get the value of z. We can then compare this value with the critical value for a two-tailed test at a significance level of 0.05 from a standard normal distribution table or using a statistical calculator.

If the calculated z-test statistic falls outside the critical value, we would reject the null hypothesis and conclude that the actual proportion of people taking the cruise within 1 year is different from the believed proportion of 5%. If the calculated z-test statistic falls within the critical value, we would fail to reject the null hypothesis and not conclude that the actual proportion is different from the believed proportion.

Without the actual values of the calculated z-test statistic and the critical value, we cannot provide a specific decision for this hypothesis test. Please note that hypothesis testing requires careful consideration of the sample size, significance level, and other relevant factors, and should be conducted with caution and in consultation with a qualified statistician or expert in statistical analysis.

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

B. 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle \frac{3 \sqrt{20}}{\sqrt{5}}\)

Step 2: Simplify

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the parameters are given as follows:

\(\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885\)

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{10 - 8.6}{0.6885}\)

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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Answer:

k=-9

Step-by-step explanation:

k-8+8=-17+8

k=-9

Step-by-step explanation:

k-8=17

k-8+8=17+8

k=25

Answer:

a) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 0\) are \(x_{1}\approx -0.25\) and \(x_{2} \approx 1.25\).

b) The estimates for the solutions of \(4\cdot x^{2}-4\cdot x -1 = 2\) are \(x_{1}\approx -0.5\) and \(x_{2} \approx 1.5\)

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial \(y = 4\cdot x^{2}-4\cdot x -1\), where \(x\) is related to the horizontal axis of the Cartesian plane, whereas \(y\) is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) \(4\cdot x^{2}-4\cdot x -1 = 0\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.25\), \(x_{2} \approx 1.25\)

b) \(4\cdot x^{2}-4\cdot x -1 = 2\)

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

\(x_{1}\approx -0.5\), \(x_{2} \approx 1.5\)

Answer:

1. \(x = 2.45s\)

2. The diving board is 45 ft high.

Step-by-step explanation:

• When Lindsey is 30 feet in the air, y = 30.

\(30 = -16x^2 + 33x +45\\\\-16x^2 + 33x +15 = 0\\\\16x^2 - 33x -15 = 0\\\)

Using quadratic formula, solve for x:

\(x = \frac{33 + \sqrt[]{(-33)^2 - 4(16)(-15)} }{2(16)}\)

\(x = 2.45s\)

• If we calculate the height of Lindsey in the air when she is standing on the diving board, we can find the height of the diving board above the ground.

When she is standing on the board, x = 0 as no time has passed after jumping.

\(y = -16(0)^2 + 33(0) +45\\\\y = 45 ft\)

Answer:

4:    1 2/3

5.  5/21     b. 1/4    c. 11/18   d.  3/20

6.  11/12     b. 10/12 < 11/12

7. 4/45

Step-by-step explanation:

4.     1/3 times 5

6.    just add

7. 1/5 minus 1/9

Answer:

hey this is my alt acount im doing this so i can give brainiest

Step-by-step explanation:

By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.

To convert a length in inches to yards, feet, and inches

Note the followings:

There are 12 inches in a foot and 3 feet in a yard.

Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.

Given that, the input is 50 inches, the output  will be

Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)

Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)

Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)

Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.

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The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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Answer:

C

Step-by-step explanation:

Put x as 4.

4 + 8 = 3(4)

12 = 12

True.

The equation that has the solution x = 4 is x + 8 = 3x.

Given that,

Based on the given options,

(a) 4x = 20

Now if we put x value in the equation

Put x as 4

So

4x = 20

4(4) = 20

8 = 20

(b)

x ÷ 2 = 8

4 ÷ 2 = 8

2 = 8

(c)

x + 8 = 3x

(4) + 8 = 3(4)

12 = 12

Therefore we can conclude that the equation that has the solution x = 4 is x + 8 = 3x.

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Answer:

18.75

Step-by-step explanation: if you divided 90 by 4.8 you get 18.75

Answer:

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Answer:

(-2, 4)

Step-by-step explanation:

Hello!

There are two solutions for this system, which can be found by looking at the intersections of the two graphs.

The first intersection is at point (-2, 4), and the second one is at point (4, -3).

Since the second option is not a given option, it is the last option (-2, 4).

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

Quadratic equation is an equation that has a leading degree of 2. The discriminant is used to determine the nature of the equation

If D > 0 , the roots of the quadratic equation are real and distinct.

If D < 0 , the roots of the quadratic equation are complex

Since the discriminant given has a value that is greater than zero, hence  the roots of the quadratic equation are real and distinct.

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Answer:

8000

Step-by-step explanation

Answer:

1. D

2. C

3.D

4.D

5.C

6. A

7.B

The percent change in the price of cellphone from 2010 to today is 58.3%

The price of a cellphone today is $380

In 2010, the price of a similar cellphone was $240

The percent change can be calculated as follows

380-240/240 × 100

= 140/240 × 100

= 0.583 × 100

= 58.3

Hence the percent of change in the price of a cellphone from today is 58.3%

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Answer:

93.53

Step-by-step explanation:

if Bobo didn't spend all the money on replacing the ground cover, he would have more than 120 dollars left. he need to subtract to get solution

what is subtract  ?

Subtraction is an arithmetic operation that involves finding the difference between two numbers or quantities. It is often denoted by the symbol "-". To subtract one number from another,

In the given question,

To calculate the cost of replacing the ground cover, we first need to calculate the area of the grazing area, which is a square with sides equal to the length of the tether (20 feet). Therefore, the area of the grazing area is:

20 feet x 20 feet = 400 square feet

The cost of replacing the ground cover is:

400 square feet x 0.95 dollars/square foot = 380 dollars

So, if Bobo spent all the money he earned (500 dollars) on replacing the ground cover, he would have 500 - 380 = 120 dollars left.

However, if Bobo didn't spend all the money on replacing the ground cover, he would have more than 120 dollars left.

In any case, it's important for Bobo to take responsibility for his actions and not blame the goat for his mistake. In the future, he should make sure to carefully consider the consequences of his actions before making any commitments, and he should also make sure to fully understand the responsibilities that come with taking care of someone else's property or pet.

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Complete question :

You can spend up to $35 on a shopping trip.

a. You want to buy a shirt that costs $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt.

b. You notice that the shirt is on sale for %30 off. How does this change the inequality?

c. Do you have enough money to buy the shirt that is on sale and a pair of pants that cost $23? Explain.

Answer:

x ≤ 21

x ≤ 25.2

Yes

Step-by-step explanation:

Cost of shirt = $14

Total Amount to spend ≤ $35

After shirt purchase :

Let amount left = x

x + 14 ≤ 35

x ≤ 35 - 14

x ≤ $21

B.) discount on shirt sale = 30%

(100% - 30%) of $14 = 0.7 * $14 = $9.8

x ≤ 35 - 9.8

x ≤ 25.2

C.)

Cost of Jean = 23

25.2 > 23

Hence, there is enough money

B = 2k

A = k√3

C = k

\( \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

is option A

(a) (3,1,1) is not a solution of the linear system 2xı – 4x2 – x3 =1 X1 - 3x2 + x3 = 1 3x1 - 5x2 – 3x3 = 1The linear system is given as follows:2x1 – 4x2 – x3 =1X1 - 3x2 + x3 = 13x1 - 5x2 – 3x3 = 1For (a) (3,1,1) (x1, x2, x3) = (3,1,1)Substitute x1 = 3, x2 = 1, and x3 = 1 into the linear system.2xı – 4x2 – x3 = 12(3) – 4(1) – 1 = 4X1 - 3x2 + x3 = 13 – 3(1) + 1 = 13x1 - 5x2 – 3x3 = 13(3) – 5(1) – 3(1) = 7Therefore, (a) (3,1,1) is not a solution of the linear system.The answer is option A.

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The x-intercept of S(x), along with it's correct interpretation, is given by the following option:

A. (12, 0); After selling 12 items, Samuel will have a positive profit.

The x-intercept of a function S(x) is the value, or the values, of x, for which S(x) = 0. The point is given by (x,0).

In this problem, the function is given by:

S(x) = 25x - 300.

Hence the x-intercept is found as follows:

25x - 300 = 0.

25x = 300

x = 300/25

x = 12.

Hence the correct option is given by:

A. (12, 0); After selling 12 items, Samuel will have a positive profit.

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