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3 years ago

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The sum of two consecutive integers is -15. Which equation could you use to find the two integers and what is the smaller intege

r? x + x+ 1=-15

1 answer:

PtichkaEL [24]3 years ago

4 0

Answer:

-8

Step-by-step explanation:

x+x+1= -15

2x+1=-15 (group the x's together)

2x= -14 (move the 1 to the right side)

x= -7

(-7)+(-8) = -15

-8 is the smaller integer

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A biscuit recipe calls for 2 pounds of all purpose flour and .75 pound of butter, what would be the baker’s percentage for butte

Goryan [66]

Answer: 37.5%

Explanation:

Percentage is defined as parts of an amount in 100 parts of a basis. This must be stated mathamatically for better understanding and for calculations. It is the ratio:

% = (parts / base) × 100.

In this case you need to express the amount of butter as a part in 100 parts of all purpose flour, which, using the above definition, is:

% butter = (0.75 pounds of butter / 2 pound of flour) × 100

% butter = 0.75 × 100 / 2 = 75 / 2 = 37.5

The answer is expressed as 37.5%.

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3 years ago

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati

Margaret [11]

Answer:

1. The minimum head breadth that will fit the clientele is of 4.41-in.

2. The maximum head breadth that will fit the clientele is of 7.19-in.

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 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.

Normally distributed with a mean of 5.8-in and a standard deviation of 0.8-in.

This means that $\mu = 5.8, \sigma = 0.8$

1. What is the minimum head breadth that will fit the clientele?

The 4.1st percentile, that is, X when Z has a pvalue of 0.041, so X when Z = -1.74.

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

$-1.74 = \frac{X - 5.8}{0.8}$

$X - 5.8 = -1.74*0.8$

$X = 4.41$

The minimum head breadth that will fit the clientele is of 4.41-in.

2. What is the maximum head breadth that will fit the clientele?

100 - 4.1 = 95.9th percentile, that is, X when Z has a pvalue of 0.959, so X when Z = 1.74.

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

$1.74 = \frac{X - 5.8}{0.8}$

$X - 5.8 = 1.74*0.8$

$X = 7.19$

The maximum head breadth that will fit the clientele is of 7.19-in.

8 0

3 years ago

HELP ASAP PLEASE!!!!!!!1

frozen [14]

I’m not sure but the third side it’s supposed to be more than the 5 and 7 and I think that the third side it’s 12 so the answer it’s A I think

4 0

3 years ago

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IceJOKER [234]

X is greater than or equal to -6

7 0

3 years ago

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X to the power 4 plus x to the square + 1

Anni [7]

Answer: I will give you hints but not straight up answers kay?

Step-by-step explanation:

In fact, you have undoubtledly encountered non-integer exponents in the past, though you might not have been aware of it at the time! The simplest non-integer power is the square root. Let us review what we do when we take the square root of a number. In taking a square root of 4 for instance, we ask ourselves what number(s) can by multiplied by themselves once in order to give 4? The answer is: well 2 × 2 gives 4 and so does (-2) × (-2). Thus, +2 or -2 raised to the power of 2 gives 4. So the square root of 4 is equal to ±2 (the notation "±" means "plus or minus"). Thus, if Sqrt is to denote the process of taking the square root we have:

22 = 4

Sqrt(22) = Sqrt(4)

2 = Sqrt (4)

3 0

3 years ago