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antiseptic1488 [7]
3 years ago
13

the fifth grade class has made paper chains for a Fall Festival each chains they made was 5ft 8in long how many inches long was

each chain? Please show the work? ​
Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

68 inches

Step-by-step explanation:

The chains are 5ft and 8 inches long.

Your answer must be in inches, so convert any non-inch units to inches.

5 ft * \frac{1 ft}{12 in} = 60 inches

60 inches + 8 inches = 68 inches

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A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
Zigmanuir [339]

Answer: (20.0\%,24.0\%)

Step-by-step explanation:

Given, A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

Here , 1,627 adults are determining the sample.

Thus, sample size : n = 1627

Also, the sample proportion of adults felt fully engaged with their mortgage provider are \hat{p}=22\%=0.22

for 95% confidence level , critical z-value =1.96

Then , the 95% confidence interval would be :-

\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Substituting values , we get

0.22\pm 1.96(\sqrt{\dfrac{0.22(1-0.22)}{1627}})\\\\=0.22\pm 1.96\sqrt{\dfrac{0.22\times0.78}{1627}}\\\\\approx0.22\pm0.0201\\\\=(0.22-0.0201,\ 0.22+0.0201)\\\\=(0.1999,\ 0.2401)\approx(20.0\%,24.0\%)

Hence, the required 95% confidence interval using only 1 decimal : (20.0\%,24.0\%) .

4 0
3 years ago
Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
Karolina [17]
270 minutes = 4,5 hours = 4 hours and 30 minutes
60 minutes = 1 hour

63 miles per 270 minutes
x miles per 1 hour = 60 minutes

\dfrac{63[miles]}{x[miles]} = \dfrac{270[minutes]}{60[minutes]}

63 \cdot 60 = 270x
3780 = 270x\quad |:270
x=14[miles]

His average speed is 14 miles per hour. 

<em>:)</em>
5 0
3 years ago
PLEASE WILL MARK BRANLIEST AND IS WORTH 20POINTS!!!!!
svlad2 [7]

Answer:

(3,-2)

Step-by-step explanation:

Part A:

1) <em>Isolate x in x - y = 5</em>

x = y + 5

2) <em>Substitute that x into 4x+y=10</em>

4(y + 5) + y = 10

4y + 20 + y = 10

5y = 10-20

5y = -10

y = -2

3) Use y to solve for x:

x = -2 + 5

x = 3

Part B:

<em>Verify using results from Part A</em>

3 - (-2) = 5

4(3) + (-2) = 12 - 2 = 10

Part C:

<em>Just graph the equations and see where they intersect, which is exactly (3,-2). We got that in Part A and B</em>

3 0
4 years ago
The difference of 6 times a number e and 11
navik [9.2K]

Answer:

-11 + 6e

Step-by-step explanation:

You could also do this:

6e - 11

I am joyous to assist you anytime.

7 0
3 years ago
Geometry- The base of a triangle is sqrt 18 cm and it’s height is sqrt 8 cm find it’s area.
inn [45]

Answer:

72 Centimeters

Explanation:

Formula for area: 1 /2 b · h

b = Base (18 cm.)

h = height (8 cm.)

1 / 2 Base: 9

height: 8

9 · 8 = 72

Therefore the area of the triangle is 72 centimeters

6 0
3 years ago
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