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Savatey [412]
3 years ago
13

Find the unknown side length for the triangle. Area = 18 cm² A. 9 cm B. 14 cm C. 18 cm D. 36 cmFind the unknown side length for

the triangle. Area = 18 cm² A. 9 cm B. 14 cm C. 18 cm D. 36 cm
Mathematics
1 answer:
Nataliya [291]3 years ago
5 0
The answer would be A. 9cm
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One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right
kap26 [50]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

6 0
3 years ago
The average temperature change in degrees Fahrenheit per hour if the temperature fell 22degree Fahrenheit in 10 hours
Nonamiya [84]

Answer:

2.2 degrees per hour

Step-by-step explanation:

22/10=2.2

4 0
3 years ago
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Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
3 years ago
Is this tangent to the circle?
erica [24]
Hello,

Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
5 0
3 years ago
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A water tank is 3/4 full.
guapka [62]

x/.75=x-56/0.4

0.4x=.75x-42

-0.35x=-42

x=120

I set up a proportion in which x=the tank when it is 3/4 full. When the tank is 3/4 full, solving the proportion tells us the x=120 litres. 120/3=40, and 120+40 is 160, showing that a tank completely full would indeed hold 160 litres.

Hope this helps!

3 0
3 years ago
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