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2 years ago

12

The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

tree

1 answer:

jolli1 [7]2 years ago

3 0

How tall is the flagpole?

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Fifty percent of the surface area of the bread is crust. What is the height h?

Vikentia [17]

Answer:

The height h is $5\ cm$

Step-by-step explanation:

we know that

The surface area of the bread is equal to

$SA=2B+Ph\\$

where

B is the area of the base

P is the perimeter of the base

h is the height

In this problem

If fifty percent of the surface area of the bread is crust

then

$2B=Ph\\$

substitute the values

$2(10)(10)=4(10)h\\$

$200=40h\\$

$h=200/40=5\ cm$

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2 years ago

A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is

MakcuM [25]

Answer:

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 5 minutes

Sample mean, $\bar{x}$ = 4.61 minutes

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.75 minutes

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}$

We use two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.61 - 5}{\frac{0.75}{\sqrt{15}} } = -2.0139$

c) Now, we calculate the p-value using the standard table.

P-value = 0.0638

d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.

4 0

2 years ago

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1.

Shkiper50 [21]

Answer:

C. 2 is less than or equal to x

Step-by-step explanation:

E d g e n u i t y 2020

5 0

2 years ago

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Match each type of function with a characteristic of its graph. Enter the letter of the correct characteristic next to the type

Lerok [7]

Answer:

Linear Function: Its graph has a constant slope (D).

Quadratic Function: Its graph is a parabola (B).

Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).

Square-root Function: Its graph has a closed endpoint (A).

Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).

Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).

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2 years ago

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State the complement of each of the following sets: (a) Engineers with less than 36 months of full-time employment. (b) Samples

iren2701 [21]

Answer:

(a) Engineers with greater than 36 months of full-time employment.

(b) Samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter

(c) Measurements of the diameter of forged pistons that conform to engineering specifications.

(d) Cholesterol levels that measure less than 180 and greater than 220.

Step-by-step explanation:

The complement of a set refers to elements that does not exist in that set. It means what does not exist in the set but exist in the universal set.

(a) Engineers with greater than 36 months of full-time employment.

In this case, the Universal set is a set of engineers in full-time employment. The given set is for engineers with less than 36 months of full-time employment. The complement is engineers with greater than 36 months of full-time employment.

(b) Samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter

In this case, the universal set is a set of samples of cement block having compressive strength. The given set is a set of cement block having compressive strength less than 6000 kilograms per square centimeter. The complement is samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter.

(c) Measurements of the diameter of forged pistons that conform to engineering specifications.

In this case, the universal set is a set of measurements of the diameter of forged pistons. The given set is a set of measurements of the diameter of forged pistons that do not conform to engineering specifications. The complement is a set of measurements of the diameter of forged pistons that conforms to engineering specification.

(d) Cholesterol levels that measure less than 180 and greater than 220.

In this case, the universal set is a set of Cholesterol levels. The given set is Cholesterol levels that measure greater than 180 and less than 220. The complement is Cholesterol levels that measure less than 180 and greater than 220.

5 0

1 year ago