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Novosadov [1.4K]

3 years ago

5

the triangle inquality theorem states that the sum of the lengths of any two sides of a triangle is greater that the length of t

he third side. the length of two sides of a triangle are 15ft and 22ft . find the possible length of the third

1 answer:

Elena L [17]3 years ago

5 0

A^2 + b^2 = c^2

15^2 + 22^2 = c^2

225 + 484 = c^2

709 = c^2

√709=26.6

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A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

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3 years ago

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Katalin drove 210 miles on her vacation. She drove an average of 1.4 times faster on the second 105 miles of her trip than she d

konstantin123 [22]

The answer is D. 180 divided by x. .

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3 years ago

What is an equation of the line that passes through the points (-2, -5) and (-1, 1)?

Dennis_Churaev [7]

Answer: y=6x+7

Step-by-step explanation:

To find the equation of the line, we want to find the slope with the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

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Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.

y=6x+b

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1=-6+b [add both sides by 6]

b=7

Now, we know the equation is y=6x+7.

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3 years ago

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In which direction does the graph of the function shown below open?

sp2606 [1]

Answer:

D. Up

Step-by-step explanation:

When a parabola has the form $y=ax^2+bx+c$ , It is vertical (opens up or down).

Because the variable "x" is squared.

If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.

In this case you have the quadratic function:

$f(x) = 2x^2+5x-4$

Which can be rewritten as:

$y = 2x^2+5x-4$

Therefore, it is vertical, because it has the form: $y=ax^2+bx+c$

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$a=2$

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3 years ago

If 2n = 6 then what does n 2 squared equal?

Tema [17]

3 is n and that is the answer

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