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Westkost [7]
2 years ago
7

Find the angle measure

Mathematics
2 answers:
Natali [406]2 years ago
7 0

Step-by-step explanation:

By Exterior Angle theorem,

80° + (6y + 3)° = (155 - 2y)°.

=> 6y + 83 = 155 - 2y

=> 8y = 72

=> y = 9.

andreyandreev [35.5K]2 years ago
3 0

Answer:

Step-by-step explanation:

(6y + 3)° + 80° = (155 - 2y)°

6y + 3 + 80 = 155 - 2y

8y = 155 - 83

y = 9

m∠NML = <em>57°</em>

m∠NLK = <em>137°</em>

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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

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

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf of bread is $2.00. He has $8.00 to spend
Anestetic [448]

Answer:

Isaac has $4.80 left

Step-by-step explanation:

$1.20 + 2.00 = 3.20

$8.00 - 3.20 = 4.80

4 0
3 years ago
The data in the table compares x, the number of pages in a chapter, to y, the amount of time, in minutes, spent reading. The fun
ololo11 [35]
21
18=0.86x - 0.09     Put 18 as the y value and solve for x
18.09=0.86x           Add 0.09 on both sides.
21.03=x                  Then divide on both sides by 086

7 0
3 years ago
Read 2 more answers
Each angle of a regular pentagon has a measure of
Andrew [12]

Answer:

congruent

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.

6 0
3 years ago
Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which
Setler79 [48]

ANSWER

B. The two middle coefficients add to the correct number but do not multiply to the correct number.

EXPLANATION

The given quadratic trinomial that Tina tries to factor is

10 {x}^{2}  - 13x - 3

Comparing to

a{x}^{2}  + bx  + c

we have a=10, b=-13 and c=-3

ac=-3×10=-30

We split the middle term so that their sum is -13.

Tina use

-10,-3

to get

-10x-3x

The sum is -13x alright but the product is not -30.

B is correct.

8 0
3 years ago
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