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3 years ago

Please help I’ll give brainiest.

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

h(3) = -4

h(-3) = -16

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 10

h(3) = x = 3

h(-3) = x = -3

Step 2: Substitute and Evaluate

h(3) = 2(3) - 10

h(3) = 6 - 10

h(3) = -4

h(-3) = 2(-3) - 10

h(-3) = -6 - 10

h(-3) = -16

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A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 11.97

$z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5$

For x = 12.04

$z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2$

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

$P(511.97$

Hence, the probability that the shipment is found satisfactory=0.9104

3 0

2 years ago

Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.