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aleksklad [387]
3 years ago
9

Angle x and y are complementary angles . angle y measure 37 plzz help asap

Mathematics
2 answers:
garri49 [273]3 years ago
7 0

Answer:

53 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

a=37

37+b = 90

Subtract 37 from each side

37+b-37 = 90-37

b =53

kolezko [41]3 years ago
7 0

Answer: 53 degrees

Step-by-step explanation: We can find the measure of <em><b</em> by taking 90 minus the measure of <em><a</em> which is 90 - 37 or 53 degrees.

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3.
Sedbober [7]

The equations that could represent the quantities and constraints in this  situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Step-by-step explanation:

Jada plans to serve milk and healthy cookies for a book club meeting

  • She is preparing  12 ounces of milk and 4 cookies per person
  • There are 15 people in  the club
  • A package of cookies contains 24 cookies and costs $4.50
  • A 1-gallon jug of  milk contains 128 ounces and costs $3

n represents number of people in the club,  

m represents the ounces of milk

c represents the number of cookies

b represents Jada's budget in dollars

∵ m represents the ounces of milk

∵ She is preparing  12 ounces of milk

∵ There are 15 person in the club

∴ m = 12(15)

∵ She is preparing 4 cookies per person

∵ c represents the number of cookies

∵ n represents the number of people in the club

∴ 4n = c

∵ A package of cookies contains 24 cookies

∵ She needs = 15 × 4 = 60 cookies

∵ 60 ÷ 24 = 2.5

∴ She needs to buy 3 packages of cookies

∵ She needs = 15 × 12 = 180 ounces of milk

∵ A 1-gallon jug of  milk contains 128 ounces

∵ 180 ÷ 128 = 1.406

∴ She needs to buy 2 A 1-gallon jug of milk

∵ The cost of each jug of milk is $3

∵ The cost of each package of cookies is $4.50

∵ b represents Jada's budget in dollars

∴ b = 2(3) + 3(4.50)

The equations that could represent the quantities and constraints in this  situation are:

m = 12(15) ⇒ answer a

4n = c ⇒ answer c

b = 2(3) + 3(4.50) ⇒ answer e

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

7 0
3 years ago
The repair cost of a Subaru engine is normally distributed with a mean of $5,850 and a standard deviation of $1,125. Random samp
Yuri [45]

Answer:

C. $5180

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Z-scores lower than -2 or higher than 2 are considered unusual.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random normally distributed variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5850, \sigma = 1125, n = 20, s = \frac{1125}{\sqrt{20}} = 251.56

Which of the following mean costs would be considered unusual?

We have to find the z-score for each of them

A. $6350

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{6350 - 5850}{251.56}

Z = 1.99

Not unusual

B. $6180

Z = \frac{X - \mu}{s}

Z = \frac{6180 - 5850}{251.56}

Z = 1.31

Not unusual

C. $5180

Z = \frac{X - \mu}{s}

Z = \frac{5180 - 5850}{251.56}

Z = -2.66

Unusual, and this is the answer.

3 0
4 years ago
What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?
Natalija [7]

Answer:

-5

Step-by-step explanation:

The coefficient is the number attached to the variable.

3 0
4 years ago
The angle measures of a triangle are shown in the
vodka [1.7K]
I believe the answer is 10
3 0
4 years ago
A baseball team batted 250 times during the season. During the season they got 120 hits, 60 strikeouts, 50 flyouts and 20 ground
GuDViN [60]

Answer:

52%

Step-by-step explanation:

250 TAB (Team At Bats)

120 TH (Team Hits)

130 TBO [60+50+20] (Team Batted Out)

130/250 = 52% or .52

7 0
3 years ago
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