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Lady bird [3.3K]
3 years ago
15

G Image result for pe.

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

35 + 14 = 7 ( 5 + 2 )

Step-by-step explanation:

The distributive property to factor;

35 + 14

We do factors of both 7 * 5 + 2 * 7

Then take common 7 ( 5 + 2 ) 35 + 14 is 49

And 7 ( 7 ) = 49

Therefore 35 + 14 = 7 ( 5+2 )

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A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that \mu = 26, \sigma = 3

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

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

Z = \frac{25 - 26}{3}

Z = -0.333

Z = -0.333 has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

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

0.125 = \frac{X - 26}{3}

X - 26 = 0.125*3

Z = 26.38

The 55th percentile is 26.38.

7 0
3 years ago
Antonio had his hair cut at the salon. After he returned home, he realized he had accidentally tipped the stylist 114% of the co
stepan [7]
=>C

1.14*20.95=23.883
5 0
3 years ago
Help!<br> What would d be?
Oxana [17]

Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

10² + 8² = c²

100 + 64 = 164

c² = 164

c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

6 0
3 years ago
you have 5 cups of rice to make bibimbap, a popular Korean meal. The recipe calls for 4/5 cup of rice per serving. How many full
erastovalidia [21]
You can make 6 full servings of bibimbap. 1/5 cup of rice is left over.
7 0
3 years ago
a farmer has 24 yards of rope that needs to be cut into 1/4 yards of pieces. How many pieces of the rope does the farmer collect
Mazyrski [523]

Answer:6

Step-by-step explanation:

7 0
3 years ago
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