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2 years ago

Please help question in the picture

Mathematics

1 answer:

Rashid [163]2 years ago

8 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem to solve this problem

a² + b² = c²

a and b will be the smaller numbers are the hypotenuse must be greater than a and b individually but smaller than a and b added together

a = 9

b = 14

c = 15

9² + 14² = 15²

81 + 196 = 225

277 = 225; NOT true

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The table shows the relationship between time spent running and distance traveled in which type of model best describes the rela

crimeas [40]

Answer:

Relationship is linear as r is closest to 1.

Step-by-step explanation:

From statistics we know that,

$\text{Corelation Coefficient}=r=\dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]]}}$

Putting all the values from the table,

we get corelation factor as 0.9995

Therefore, the relationship is linear as r is closest to 1.

8 0

2 years ago

Read 2 more answers

find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

3 years ago

What type of math is adding subtracting of positive and negative numbers

allochka39001 [22]

Hello There!

It is Arithmetic.

Hope This Helps You!
Good Luck :)

6 0

3 years ago

Pls help with these questions

postnew [5]

Find x-intercept and y-intercept then you can draw the graph.

For example, the first question.

$y=-3x+2$

To find the y-intercept, x = 0

So substitute x = 0 in the equation.

$y=0+2\\y=2$

[Note]: You don't need to find the y-intercept, because from, $y=ax+b$

a is slope and b is y-intercept, you know b then you know y-intercept. For example b = 2 then y-intercept is at 2.

To find the x-intercept, y = 0

$-3x+2=0\\-3x=-2\\x=\frac{2}{3}$

Therefore, y-intercept = 2 and x-intercept = 2/3

(Try do another problems, just do the same. When you want to find the y-intercept, just look at the value of b or substitute x = 0 and When you want to find the x-intercept, just substitute y = 0 then solve for x.)

3 0

3 years ago

A sample of 100 information systems managers had an average hourly income of $40.00 with a standard deviation of $8.00. If we wa

Sedbober [7]

Answer:

The t-score is 1.96

Step-by-step explanation:

The margin of error is given as

(Margin of Error) = (critical value) × (standard deviation of the sample mean)

The critical value is usually obtained from the t-score or the z-score at the given confidence level.

With small sample sizes (sample sizes less than 30) and/or information about the population standard deviation is not known, the t-distribution is used to find critical values.

We convert the confidence level to significance level and use the sample size to trace out the t-score.

Significance level = (1 - confidence level)/2

For example, a confidence level of 95% mean that 5% (spread equally at the top and bottom of the distribution as 2.5% and 2.5%) is still room for error, hence, the significance level = (5%/2) = 2.5%

This information, with the sample size, directs one exactly to where to obtain the t-score for the distribution on the t-score table.

But, with large sample sizes, with known information about its standard deviation, we typically use critical values on the Z-distribution to obtain the margin of error.

And as the sample size increases, the t-score approximates the z-score.

So, for a sample size of 100, the t-score can be simply obtained from the z-score table for a confidence level of 95%; and that is 1.96.

Hope this Helps!!!

6 0

2 years ago