Help me find the answer

Answer:

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Step-by-step explanation:

Answer:

Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Step-by-step explanation:

Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:

400 x 2.5 = 1000

60 x 60 = 3600

1.51 = 101 x 2.5 = 252.5

2.34 = 154 x 2.5 = 385

252.5 = 1000

3600 = X

3600 x 1000 / 252.5 = X

14,257.43 = X

385 = 1000

3600 = X

3600 x 1000/385 = X

9,350.65 = X

14,257.43 / 1000 = 14.26

9,350.65 / 1000 = 9.35

Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Answer:

B

Step-by-step explanation:

112.5/15=7.5

[tex] \frac{112.5}{15} = 7.5[/tex] ✅

Option A⤵

[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]

Option B⤵

[tex] \frac{112.5}{15} = 7.5 \\ ⇢  7.5 = 7.5[/tex]

Option C⤵

[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]

Option D⤵

[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]

Hence, option B is correct.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

3

Step-by-step explanation:

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

Answer:

a) By blocking on shaving brush size

Step-by-step explanation:

You block on the variable that the researchers think matters.

The experiment can BEST be conducted by blocking on shaving brush size

An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.

In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.

Therefore, The experiment can be best carried out by limiting the size of the shaving brush.

Learn more about experiments here:

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Answer:

v = 729 in³

Step-by-step explanation:

v = 9 * 9 * 9

v = 729 in³

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

Answer:

C. 360

Step-by-step explanation:

60% = 0.60

600 x 0.60 = 360

360 fiction books

Answer:

Inverse binomial distribution

Step-by-step explanation:

For each couple, there are only two possible outcomes. Either they agree to participate, or they do not. The probability of a couple agreeing to participate is independent of any other couple accepting. This means that we take the binomial distribution as a basis to solve this question.

However, we want to find the number of trials needed to have a number of successes, in this case 5, that is, we do not have a fixed number of trials, which means that the inverse binomial distribution is used, and is the answer to this question.

Answer:

its B if you are doing the big test

Step-by-step explanation:

The mean absolute deviation is 2.

'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'

According to the given problem,

Mean of the given data set = 14

Absolute deviation of mean from each data point,

⇒ ( 9 - 14 ) = 5

⇒ ( 13 - 14 ) = 1

⇒ ( 14 - 14 ) = 0

⇒ ( 15 - 14 ) = 1

⇒ ( 15 - 14 ) = 1

⇒ ( 18 - 14 ) = 4

Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]

                                          = [tex]\frac{12}{6}[/tex]

                                          = 2

Hence, we can conclude, the mean absolute deviation of the given data set is 2.

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Answer:

C. The cone is ⅓ the volume of the cylinder

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of a cone = ⅓πr²h

Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)

Let's demonstrate this with figures:

Hypothetically, let,

h = 3 cm

r = 3 cm

Let's plug these values into each formula for a cone and a cylinder:

Cylinder = π*3³*3 = 27π cm³

Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³

As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)

Therefore:

The cone is ⅓ the volume of the cylinder

Answer:

hinh nh ul a caanbang

Step-by-step explanation:

Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.

To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.

Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.

From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.

Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.

This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.

To know more about scatter plots follow

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Answer:

20

Step-by-step explanation:

5: 5, 10, 15, 20

4: 4, 8, 12, 16, 20

Answer:

Point C

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

It is need 1/6 to be 2

Answer:

so, 7x²+4x-2 is yr answer.

hope it helps.

Answer:

true

Step-by-step explanation:

plug in u. u=e

25>= 5x5

25>=25

true

Answer:

5(b+3)

Step-by-step explanation:

you are multiplying the sum of b and 3 by 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

90 i think

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

divide 27 by thirty then multiply by 100

Answer: 39

Step-by-step explanation:

30 32 32 36 42 42 44 45

Answer:

wow!

Step-by-step explanation:

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

Answer:

C. x is greater than or equal to 3 or x is less than or greater than -5

Answer:nice do it

Step-by-step explanation:

what is it about

show the problem

Step-by-step explanation:

Answer:

D

B

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

You can tell by the 2 dashes side and the one dash if that makes sense

Answer: SAS

Step-by-step explanation:

Answer:

(a) [tex]f(n)= 900n -100[/tex]

(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex]   for [tex]n \ge 2[/tex]

Step-by-step explanation:

Given

[tex]f(1) = 800[/tex] --- first month

[tex]d = 900[/tex] --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

[tex]a_n = a_1 +d(n -1)[/tex]

Where

[tex]a_1 = f(1) = 800[/tex]

This gives:

[tex]a_n = 800 +900(n -1)[/tex]

[tex]a_n = 800 + 900n - 900[/tex]

Collect like terms

[tex]a_n= 900n +800-900[/tex]

[tex]a_n= 900n -100[/tex]

So, we have:

[tex]f(n)= 900n -100[/tex]

As a recursion, we have:

[tex]f(1) = 800[/tex]

For every other month i.e. [tex]n \ge 2[/tex]

We have:

 [tex]f(n) = f(n-1) +900[/tex]  for [tex]n \ge 2[/tex]

Which means 900 miles plus distance covered in previous month