21. Find the value of x.

22. Find the value of x.

Answer:

B is the true statement

Step-by-step explanation:

A

We can see from the graph that the highest point occurs when the height in feet is 19.4, so statement A is untrue.

B

We can see from the graph that the highest point occurs after 12 seconds of flight, so statement B is true.

C

If the projectile were launched from the ground, when t=0, h=0, but since when t=0, h=5, we can see it was launched 5ft from the ground, so statement C is untrue.

D

On the interval 5<t<12, the altitude is indeed increasing, but after t=12, the projectile begins to fall and the altitude decreases, so statement D is untrue.

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

Answer:

b = 29

Step-by-step explanation:

C x D = A x B

15(11x - 91) = 7(2x + 10)

165x - 1365 = 14x + 70

add 1365 to both sides of the equation:

165x = 14x + 1435

subtract 14x from both sides:

151x = 1435

divide both sides by 151:

x = 9.5

b = 2(9.5) + 10 = 29

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

Answer: That is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

Answer:

Is it 57?

Step-by-step explanation:

Answer:

the one in black

Step-by-step explanation:

Answer:

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distribution of n values from a normal distribution:

If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.

This means that

[tex]\mu = 46*5 = 230[/tex]

[tex]s = 4\sqrt{46} = 27.13[/tex]

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{250 - 230}{27.13}[/tex]

[tex]Z = 0.74[/tex]

[tex]Z = 0.74[/tex] has a pvalue of 0.7704

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Answer:

it means that for every two cats there are nine dogs, so if they were four cats there'll be 18 dogs and so on

Answer:

Two cats per nine dogs

Step-by-step explanation:

The ratio is two cats to nine dogs, meaning that for every two cats, there are nine dogs, and vice versa. This applies to any ratio. Hope this helps! Feel free to ask any questions!

Answer:

0.21333333333 or 2 21/40

Step-by-step explanation:

2/5+17/8

=2/5*8/8+17/8*5/5

=16/40+85/40

=16+85/40

=101/40= 2 21/40

you can also use this link for any other problems like this

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2B&t2=17&b1=5&b2=8&ctype=1&x=100&y=24

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

(250+250+130+130)*30=22,800

Answer:

x = 7

Step-by-step explanation:

We need to find the value of x in the given figure. It can be calculated using ratio.

We know that,

4+3 = 7

Taking ratios,

[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]

or

[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

So, the value of x is equal to 7.

Answer:

Ehhh waht ??im 10 jears old!

Step-by-step explanation:

Hahah

Answer:

W = 6

L = 36

Step-by-step explanation:

2L + 2W = 84

L = 6W

Substitute for L in the first equation

2 (6W) + 2W = 84

12W + 2W = 84

14W = 84

W = 6

Substitute W in the first equation

2L + 2(6) = 84

2L + 12 = 84

2L = 72

L = 36

Plug both values in both equations to be sure

2(36) + 2(6) = 84

36 = 6 * 6

Hope that helps!

Answer:

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used(best point estimate) is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

The two bounds are 0.692 and 0.748.

a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities.

The mean of the bounds, so:

(0.692+0.748)/2 = 0.72

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

its 5

Step-by-step explanation:

Answer: Ok Good luck other contestant.

Answer:

The Diplodocus was 744 in longer than the Triceratops.

Step-by-step explanation:

90 ft = 90 * 12 = 1080 in

28 ft = 28 * 12 = 336

1080 in - 336 in = 744 in

Answer:

I did the first one

Step-by-step explanation:

Hope I did it right

Answer:

area? is that what u need? or perimeter

Step-by-step explanation:

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

Answer: c. On average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score

Step-by-step explanation:

Given that:

Slope value = 0.91857341

The dependent and independent variables are ;

Dependent Variable: Geometry

Independent Variable: Chemistry

Slope is the rate of change in the dependent variable per unit change in the independent variable.

Hence, from the information given, we can conclude that for every 1% change in chemistry score (independent variable), there is a corresponding approximately 0.919% change in geometry score (dependent variable).

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

Given :

Given the simple linear regression results that are:

The Dependent variable is Geometry.

The Independent variable is Chemistry.

Geometry = 3.6276926+0.91857341[tex]\times[/tex]Chemistry

Comparing the above equation with the slope-intercept form which is given by:

y = mx + c

Therefore, slope, m = 0.91857341.

It is also given that:

Sample size is 400

R2= 0.55808158

Estimate of error standard deviation: 9.417521

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

For more information, refer to the link given below:

https://brainly.com/question/12402189