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erica [24]
3 years ago
10

Elimination: 3x+4y=27; 5x-3y=16

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
The solution is:
y = 3
and 
x = 5
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Dazuri saw the following advertisement at a sports store how much does each soccer ball cost
Nadusha1986 [10]

Based on the advertisement seen by Dazuri, the cost of each soccer ball is $22.50

<h3>How to find the cost?</h3>

The advertisement says that the original cost of the ball is $30 but there is a 25% discount.

The price of each soccer ball is therefore reduced by the 25% discount on the ball.

The amount that each soccer ball costs is therefore:
= 30 - ( 30 x 25%)

= 30 - 7.5

= $22.50

Rest of the question is:
Soccer balls on sale at a 25% discount. Prices go back to $30 in a week. Don't miss out.

Find out more on cost of soccer ball at brainly.com/question/2227883

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4 0
1 year ago
Find the value of x in the diagram below.
dsp73

Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

5 0
3 years ago
Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an
Alexxx [7]

Answer:

<u>a. s.e. = 0.338</u>

<u>b. The  probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%</u>

<u>c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%</u>

d. <u>The sample mean of 62.75 would represent the 15th percentile</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

<u>s.e. = 0.338</u>

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

<u>The  probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%</u>

4.  What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

<u>p (z = -1.48) = 0.0694</u>

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

<u>The sample mean of 62.75 would represent the 15th percentile</u>

7 0
3 years ago
he tallest player on a basketball team is 167.64 centimeters tall. Height in inches is found by dividing height in centimeters b
tatuchka [14]

                 (167.64 cm)  ·  (1 inch / 2.54 cm)                         

             =    (167.64 · 1 / 2.54)    inches

             =        66.0 inches

3 0
4 years ago
Read 2 more answers
Plz help meh
dusya [7]

Answer:

Step-by-step explanation:

The rock will hit the surface when its height equals zero.

t^2-8t-10=0

t^2-8t=10

t^2-8t+16=10+16

(t-4)^2=26

t-4=+(26^(1/2))

t=4+(26^(1/2))

t=9.1s

8 0
3 years ago
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