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Sergeu [11.5K]
3 years ago
7

Find the values of x and y

Mathematics
2 answers:
andre [41]3 years ago
7 0
The first one is x=15
pantera1 [17]3 years ago
6 0

Answer:

x = 15°

y = 59°

Step-by-step explanation:

Angles at a right angle add up to 90°

41 + y = 90

y = 90 - 41

y = 59°

Angles in a triangle add up to 180°

41 + (2x - 9) + 7x + 13 = 180

41 + 13 - 9 + 2x + 7x = 180

45 + 9x = 180

9x = 180 - 45

9x = 135

x = 135/9

x = 15°

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X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
Last month you went on three hikes. one hike was2 3/4 miles long one was 1 1/2 miles long and was 3 3/4 miles long. in decimal h
creativ13 [48]
2 3/4 = 2.75

1 1/2 = 1.5 

3 3.4 = 3.75

2.75 + 1.5 + 3.75 = 8

You hiked 8 miles last month in total.
8 0
3 years ago
Read 2 more answers
At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr
Sedbober [7]

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

6 0
2 years ago
Haley practiced her free throws at the basket ball court and shot 25 times. She made 11 of her shots. What percent of her shots
ivolga24 [154]

Answer:

<h2>56% </h2>

Step-by-step explanation:

Haley practiced her free throws at the basket ball court and shot 25 times

She made 11 of her shots.

find: What percent of her shots did she NOT make?​

<u>11 shots made</u>  = 44%

  25 shots

100% - 44% = 56%

therefore, 56% of her shot did NOT make it.

8 0
2 years ago
A certificate of deposit often charges a penalty for withdrawing funds before the maturity date. If the penalty involves two mon
Aleonysh [2.5K]

Answer:

The amount for early withdrawal is $204

Step-by-step explanation:

Annual interest rate = 5% = 0.05

Investment = $24,000

Annual interest rate * Investment = Annual interest

0.05 * $24,000 = $1,200

Penalty = Two months of interest

(months/months in a year)  * Annual interest

(2/12) * $1,200 = 0,17

0,17 * $1,200 =  $204,00  

6 0
2 years ago
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