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AleksAgata [21]

3 years ago

12

the sum of three numbers is 148. the second number is 10 more than the first. the third number is 4 times the first. what are th

e numbers?

1 answer:

noname [10]3 years ago

5 0

Answer:

23, 33, and 92

Step-by-step explanation:

If the three numbers are x, y, and z, then:

x + y + z = 148

y = x + 10

z = 4x

Substitute:

x + (x + 10) + (4x) = 148

6x + 10 = 148

6x = 138

x = 23

y = 33

z = 92

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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot

Stells [14]

Answer:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

$\hat p=0.75$ estimated proportion of residents favored annexation

$p_o=0.72$ is the value that we want to test

represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:

Null hypothesis: $p\leq 0.72$

Alternative hypothesis: $p > 0.72$

The statistic for this case is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

Now we can calculate the p value. Since is a bilateral test the p value would be:

$p_v= P(Z>2) =0.0228$

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

3 0

3 years ago

Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:

Igoryamba

Answer:

0.43

17

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)

Hoochie [10]

Answer:

$40.52

Step-by-step explanation:

You add the amount of all the t-shirts that Mike bought and subtract it from 100.

6 0

3 years ago

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the

dalvyx [7]

To solve the problem we must know about quadratic equations.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The breadth of the rectangle is 200 ft, while the length is 210 ft.

<h2>Explanation</h2>

Given to us

Area of the parking lot = 42,000 ft²
Perimeter of the parking lot = 820 ft

<h3>Area of the parking lot</h3>

Area of the parking lot = Area of the rectangle

42,000 ft² = Length x Breadth

Solving for L,

$42,000 = L \times B\\\\
L = \dfrac{42,000}{B}$

<h3>Perimeter of the parking lot</h3>

Perimeter of the parking lot = Perimeter of the rectangle

820 ft. = 2(Length + Breadth)

820 ft. = 2(L+ B)

$2(L+ B) = 820\\\\
(L+B) = \dfrac{820}{2}\\\\
(L+B) = 410$

Substituting the value of L,

$(L+B) = 410\\\\
(\dfrac{42,000}{B}) +B = 410\\\\
42000 + B^2 = 410B\\\\
B^2 -410B +42000 = 0$

<h3>Quadratic Expression</h3>

Solving the quadratic Expression,

$B^2 -410B +42000 = 0\\\\
(B-210)(B-200)=0$

Equation the factors against zero,

B-210=0

B = 210

B-200=0

B = 200

Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.

Learn more about Quadratic Expression:

brainly.com/question/10025464

4 0

2 years ago

Find the area of a regular polygon with 7 sides that has a side length of 6 inches and an apothem of 8 inches

alukav5142 [94]

We can always split a regular polygon with $n$ sides into $n$ triangles, whose base is the side of the polygon and whose height is the apothem of the polygon. So, the sum of the areas of all these triangles is

$A=n\times \dfrac{s\cdot a}{2}$

where $n$ is the number of sides, $s$ is the side length, and $a$ is the apothem length.

So, you just need to plug you values in: in your case, you have $n=7,\ s=6,\ a=8$

So, the formula becomes

$A=7\times \dfrac{6\cdot 8}{2} = 7 \times 6\cdot 4 = 168$

3 0

3 years ago