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melamori03 [73]
2 years ago
6

CAN SOMEONE PLEASE HELP FIND WHAT X IS PLEASE AND THANK YOu

Mathematics
1 answer:
ratelena [41]2 years ago
4 0

9514 1404 393

Answer:

  31 degrees

Step-by-step explanation:

The side lengths opposite and adjacent to the unknown angle are given. The appropriate relation is ...

  Tan = Opposite/Adjacent

  tan(x) = 30/50

Using the inverse tangent function, you can find x:

  x = arctan(30/50) ≈ 30.964°

  x ≈ 31°

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The average expenditure on Valentine's Day was expected to be$100.89 (USA Today, February 13, 2006). Do male and femaleconsumers
stealth61 [152]

Answer:

(a) $62.16

(b) Male: $15.00

Female: $10.06

(c) Confidence Interval for male expenditure is ($106.40, $136.40)

Confidence interval for female expenditure is ($49.18, $69.30)

Step-by-step explanation:

(a) Male expenditure

Sample mean = $135.67, sd=$35, n=40, Z=2.576

Population mean = sample mean - (Z×sd)/√n = 135.67 - (2.576×35)/√40 = 135.67 - 14.27 = $121.40

Female expenditure

Sample mean= $68.64, sd=$20, n=30, Z=2.576

Population mean = 68.64 - (2.576×20)/√30 = 68.64 - 9.40 = $59.24

$121.40 - $59.24 = $62.16

(b) Male: Error margin = (t-value × sd)/√n

Degree of freedom = n-1 = 40-1= 39. t-value corresponding to 39 degrees of freedom and 99% confidence level is 2.708

Error margin = (2.708×35)/√40 = 94.78/6.32 = $15.00

Female

Degrees of freedom = n-1 = 30-1 = 29. t-value is 2.756

Error margin = (2.756×20)/√30 = 55.12/5.48 = $10.06

(c) Male

Confidence Interval (CI) = (mean + or - error margin)

CI = 121.4 + 15.00 = $136.40

CI = 121.4 - 15.00 = $106.40

Confidence Interval is ($106.40, $136.40)

Female

CI = 59.24 + 10.06 = $69.30

CI = 59.24 - 10.06 = $49.18

Confidence Interval is ($49.18, $69.30)

7 0
3 years ago
"Cheetahs are the fastest mammals in the world. The can reach speeds of 70 miles per hour. At this speed, how long would it take
goblinko [34]
17=70h
Divide each side by 70
It would be 14 mins and 33 seconds
7 0
3 years ago
Which of these places rounds 43,754 to the lowest number?
scoundrel [369]
The tens is the lowest
8 0
3 years ago
Camila was out at a restaurant for dinner when the bill came. Her dinner came to $32. After adding in a tip, before tax, she pai
Gnesinka [82]

Answer:

25%

Cause 125%-100%=25%

​

3 0
2 years ago
What is the length of AB?
Xelga [282]

Answer:

<em>AB = 7.35 cm</em>

Step-by-step explanation:

From the attachment,

In ΔDEF,

DF = GH-(GD+FH) = 6 - (2+3) = 1 cm

DE = 2+3 = 5 cm (sum of two radius)

Applying Pythagoras theorem,

EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6

In ΔCDI,

DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm

CD = 2+1.5 = 3.5 cm (sum of two radius)

Applying Pythagoras theorem,

CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6

AB = EF + CI = 2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm

6 0
3 years ago
Read 2 more answers
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