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Degger [83]
3 years ago
9

A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal

was . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis and the alternative hypothesis that we would use for this test.
Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

Construction of hypothesis

H₀ : p = 0.70

H₁ : p ≠ 0.70

Step-by-step explanation:

A the given statement does not give how much the goal was

lets suppose "getting rich" was an important personal goal than the proportion was 70 %

suppose that we believe that proportion has changed then construction of hypothesis for this H₀  for null hypothesis and H₁ is alternative hypothesis

Construction of hypothesis

H₀ : p = 0.70

H₁ : p ≠ 0.70

So construction of hypothesis state null and alternative hypothesis.

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Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

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Exponential Function:
vovangra [49]

Answer:

See below

Step-by-step explanation:

<em>On the graphs we see transformations of exponential functions</em>

<h3>Graphic 1 = Horizontal shift </h3>
  • f(x) = 2ˣ is the parent function
  • g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
  • h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
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4 years ago
Find the radius of a sphere with a volume of 4.5 pi cubic centimeters
Norma-Jean [14]

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1.02

Step-by-step explanation:


5 0
4 years ago
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

5 0
3 years ago
Write the number below as a fraction in its simplest form 0.158 the 5 and 8 are recurring
trasher [3.6K]
I got 157/990. Just don't ask me how. I just used my fancy TI-84 Calculator.
5 0
3 years ago
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