Find the difference between 45 2/3 and 27 1/2 . Express your answer in lowest terms

The volume of a rectangular prism with a square base is fixed at 120 cubic feet. Write the surface area of the prism as a functi

Brut [27]

Answer:

Step-by-step explanation:

120=x²×h=x×xh

xh=120/x

surface area A(x)=2x²+4x×h=2x²+4xh=2x²+4×120/x=2x²+480/x

5 0

3 years ago

⦁ Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long a

lara [203]

Answer:

u can be using it at perpendicular and place it's center on point A

hope that helps a bit-

5 0

3 years ago

He area of circle Z is 64 ft2. What is the value of r?

dolphi86 [110]

Answer:

8√π/π

Step-by-step explanation:

A = 64 = π·r²

r² = 64/π

= √64/√π

= 8/√π

= 8√π/π

3 0

3 years ago

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the t

worty [1.4K]

Answer:

C

Step-by-step explanation:

x^2/12.25 + y^2/4 = 1

6 0

3 years ago

A clinical psychologist wants to test whether experiencing childhood trauma reduces one's self-efficacy in adulthood. He randoml

lidiya [134]

Answer:

No, there is not any sufficient evidence to conclude that individuals who have experienced childhood trauma have lower self-efficacy in adulthood.

Step-by-step explanation:

We are given that a clinical psychologist wants to test whether experiencing childhood trauma reduces one's self-efficacy in adulthood.

He randomly selects 22 adults who have experienced childhood trauma and finds that their mean self-efficacy score equals 118.1.

Self-efficacy scores in the general population of adults are distributed normally with a mean equal to 118.5 and a standard deviation equal to 18.8 .

Let $\mu$ = mean self-efficacy score.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 118.5 {means that the individuals who have experienced childhood trauma have higher or same self-efficacy in adulthood}

Alternate Hypothesis, $H_A$ : $\mu$ < 118.5 {means that the individuals who have experienced childhood trauma have lower self-efficacy in adulthood}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean self-efficacy score = 118.1

$\sigma$ = population standard deviation = 18.8

n = sample of adults who have experienced childhood trauma = 22

So, test statistics = $\frac{118.1-118.5}{\frac{18.8}{\sqrt{22} } }$

= -0.0998

The value of z test statistics is -0.0998.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.0998 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the individuals who have experienced childhood trauma have higher or same self-efficacy in adulthood.

4 0

3 years ago