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Ksenya-84 [330]
3 years ago
6

You are designing a triangular pennant for your school. If you have only 117 square inches of fabric and you want the pennant, w

hen suspended from its base, to hang down 18 inches, what must the length of the
base be?
Mathematics
2 answers:
Vesna [10]3 years ago
5 0

Answer:

The base must be 13 inches

Step-by-step explanation:

<u>Step 1:  Determine the length of the base</u>

A = 1/2 * b * h

117\ in^2 = 1/2 * b * 18\ in

117\ in^2 = 9\ in * b

\frac{117\ in^2}{9\ in} = \frac{9\ in * b}{9\ in}

13\ in = b

Answer:  The base must be 13 inches

givi [52]3 years ago
3 0

Answer:

<u>13 inches</u>

Step-by-step explanation:

  • <u>Area of fabric</u> : 117 square inches
  • <u>Height</u> : 18 inches

  • Base x Height x 1/2 = Area (Fabric)
  • Base x 18 x 1/2 = 117
  • Base x 9 = 117
  • Base = <u>13 inches</u>
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Answer:

51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Step-by-step explanation:

Total number of tickets sold by  = 100

Let x be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

so

x=\frac{51}{100}\times 100

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Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.

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3 years ago
F(x)=x^2-3x-54 g(x)=x-9, find (f/g)(x)
MAVERICK [17]

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Step-by-step explanation:

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Step-by-step explanation:

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Patrisse and Makayla began arguing about who did better on their tests, but they couldn't decide who did better given that they
hodyreva [135]

a)  Z-score for Patrisse test grade is 0.7288

b) z-score for Makayla test grade is -0.7441

c) Patrisse did better.

<h3>What is z- score?</h3>

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score for Patrisse test grade.

X= 81.4, \mu = 72.8, \sigma = 11.8

Z= x-  \mu /  \sigma

Z= 81.4 - 72.8/ 11.8

Z= 0.7288

Now, z-score for Makayla test grade.

X= 60.6, \mu = 67, \sigma = 8.6

Z= x-  \mu /  \sigma

Z= 60.6 - 67/ 8.6

Z= -0.7441

Hence, Patrisse did better as she had better z- score.

Learn more about this concept here:

brainly.com/question/23261840

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8 0
2 years ago
A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day:
garik1379 [7]

Answer:

Step-by-step explanation:

The pdf of  the number of cheesecakes that they sell in a given day: by a bakery are as follows:

X     0         5       10      15     20

P    0.25    0.47   0.12   k     0.15

Use total prob =1, to find k .  

k = 0.01

a)  the probability of selling 15 cheesecakes in a given day = 0.01

b. What is the probability of selling at least 10 cheesecakes =P(X≥10)

= 0.28

c.  the probability of selling 5 or 15 chassescakes P(5)++P(15)=0.48

d.  the probaility of selling 25 cheesecakes = 0

e. Give the expected number of cheesecakes sold in a day using the discrete probability distribution?

=\Sigma x_i p_i\\=0+2.35+1.2+0.15+3\\=6.7

f. the probability of selling at most 10 cheesecakes

=P(X≤10)

= 0.84

8 0
3 years ago
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