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4 years ago

Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?

Mathematics

2 answers:

Sonja [21]4 years ago

4 0

Answer:

Step-by-step explanation:

Jlenok [28]4 years ago

3 0

Answer:

B.equilateral, isosceles, and scalene

Step-by-step explanation:

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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women w

VikaD [51]

Since the p - value is less than significance level . So, we will accept the null hypothesis.

(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted

Alternative Hypothesis : In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).

We are given that The mean height of women 20 years of age or older was 63.7 inches.

So, null hypothesis : H₀ : μ = 63.7

Alternative Hypothesis : H₁ : μ > 63.7

b)The P-value for this test is 0.06.

The p-value represents the probability of getting a sample mean height of 20 years old women is 64.1 inches.

c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.

p- value = 0.06

Since the p - value is less .

So, we will accept the null hypothesis

So,

Hence The mean height is 63.7 inches

To learn more about hypothesis testing from the given link

brainly.com/question/12976831

#SPJ4

7 0

2 years ago

You are given $100 for your birthday. You put the $100 in a savings account that pays an interest rate of 2.4% compounded monthl

jonny [76]

Each month the new total you be
initial amount * 1.024

Repeating the process for a year (=12 months) you get
initial amount * 1.024^12

Being initial amount = $100

100*1.024^12 = $132.92

After 1 year you will have $132.92

8 0

3 years ago

20p!!!ill mark you as brain please help!!! hurry

Kay [80]

Answer:

$\boxed{\text{1172 in}^{2}}$

Step-by-step explanation:

SA = SA(prism) + SA(cylinder) – 2SA(cylinder base)

1. Surface area of rectangular prism

The formula for the surface area of a rectangular prism is

S = 2(lw + lh + wh)

Data:

l = 16 in

w = 11 in

h = 11 in

Calculations:

2(Top + Bottom) = 2lw = 2 × 16 × 11 = 352 in²

2(Front + Back) = 2lh = 2 × 16 × 11 = 352 in²

2(Left + Right) = 2wh = 2 × 11 × 11 = <u>242 in² </u>

Total area = 946 in²

2. Surface area of cylinder

A = A(top) + A (base) + A(side) = 2A(base) + A(side)

Data:

d = 8 in

h = 9 in

Calculations:

r = ½d = ½ × 8 = 4 in

$\begin{array}{rcl}SA & = & 2\pi r^{2}+ 2\pi rh \\& = & 2 \times 3. 14\times 4^{2} +2\times 3. 14 \times 4\times 9\\& = & 6.28\times 16 + 226.08\\& = & 100.48 + 226.08\\& = & 326.56 \text{ in}^{2}\\\end{array}$