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2 years ago

7

a soccer player stands at the corner of a field and kicks a soccer ball 90 meters to the opposite corner. if the field is 72 met

ers long, what is width

1 answer:

Nitella [24]2 years ago

7 0

$72+ {b }^{2} = 90$
answer 5.29

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Ostrovityanka [42]

Answer:

18

Step-by-step explanation:

24 / 4 is 6 6 times 3 is 18

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A professor records the difference between the marks scored by the students in the class test last week and those scored in the

dezoksy [38]

Answer: $(10.82\ , 13.18)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 35 , large sample (n>30)

Mean difference : $\overline{x}=12$

Standard deviation : $\sigma=3$

Significance level : $\alpha=- 1-0.999=0.001$

Critical value : $z_{\alpha/2}=z_{0.0005}=3.4807567$

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

$12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)$

Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = $(10.82\ , 13.18)$

4 0

2 years ago

Question 4 (1 point) Determine whether the ordered pair (3,28) is a solution to the equation 2x- y/2 = -8 (3, 28) Is a solution

bulgar [2K]

Answer:

It is a solution

Step-by-step explanation:

Given

$2x - \frac{y}{2} = -8$

Required

Determine if $(3,28)$ is a solution

$(3,28)$ implies that:

$x = 3$

$y = 28$

To check if it is a solution, we simply substitute values for x and y in the given equation;

$2x - \frac{y}{2} = -8$

$2(3) - \frac{28}{2} = -8$

$6 - 14= -8$

$-8= -8$

Since both sides of the equation are equal; then, Yes, it is a solution

6 0

2 years ago