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2 years ago

15

What are the roots of the equation? 2x2+x=6 Select each correct answer.

1 answer:

Georgia [21]2 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

2x2=4

4+2=6

6=6

There hope that is what you are looking for

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The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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 of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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

$Z = \frac{94 - 90}{2}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772.

X = 86

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

$Z = \frac{86 - 90}{2}$

$Z = -2$

$Z = -2$ has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

5 0

2 years ago

Imagine a couple who is ready to start a family. They plan to have exactly four children. Assuming no multiple births (twins, tr

Lostsunrise [7]

Answer:

4 different ways

Step-by-step explanation:

Total number of children = 4

Distribution of the 4 children :

Number of boys = 3 ; Number of girls = 1

Boy = B ; Girl = G

Possible combinations :

BBBG ; GBBB ; BBGB ; BGBB

From the pascal triangle number of e; number of outcomes = 2

Having exactly 3 boys and 1 girl

Hence, of any of the 4 four total children, 3 must be boys and 1 girl ;

7 0

2 years ago

What is the correct way to write 9 x 9 x 9 in exponential form?

Harlamova29_29 [7]

Hey!

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Solution:

Put all the answer choices into expanded form.

3^9 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

1^8 = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1

9^3 = 9 x 9 x 9

8^1 = 8

----------------------------------------------

Answer:

We can see that the only way to write to write 9 x 9 x 9 in exponential form is c) 9^3

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Hope This Helped! Good Luck!

5 0

2 years ago

Read 2 more answers

The highest temperature recorded in Greensburg was 35C. Write the opposite temperature.

hichkok12 [17]

Answer: the opposite answer is 35F

Step-by-step explanation: the C goes to a F

8 0

3 years ago

The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.

Pie

Answer:

$Area = 270m^2$

Step-by-step explanation:

Given

$A = \frac{1}{2}bh$

$b = 18m$

$h = 30m$

Required

Solve for A

Simply substitute 18 for b and 30 for h

$A = \frac{1}{2}bh$

$A = \frac{1}{2} * 18 * 30$

$A = 270$

Hence:

The area is

$Area = 270m^2$

6 0

3 years ago