Find the difference.<br> (3-4x)-3(2.4x-7)

LeeAnn wants to organize her data from researching the effect of hours of sunlight on plant growth to see if there is a trend in

AlexFokin [52]

So she wanted to test what temperature or sunlight would be best to grow a plant.
Maybe she might consider doing this.
Prepare 3 plants for testing experiments:
then prepare a data that has 3 columns.
Morning (6-9am)
Noon (10-2pm)
Afternoon (3-6pm)
Then she will be putting plants in every divided time of the day and record all the information that she observedl

6 0

2 years ago

Read 2 more answers

Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of

Oksana_A [137]

Answer:

You should claim 10.5325 years on your warranty.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 13, \sigma = 1.5$

Want's to replace no more than 5% of the products.

This means that the warranty should be 5th percentile, that is, the value of X when Z has a pvalue of 0.05. So X when Z = -1.645.

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

$-1.645 = \frac{X - 13}{1.5}$

$X - 13 = -1.645*1.5$

$X = 10.5325$

You should claim 10.5325 years on your warranty.

6 0

3 years ago

Nate wants to visit his friend Mac before going to the park. Nates house is located at (-2,4) while the park is located at (10,2

defon

Answer:

(4, 3)

Step-by-step explanation:

If a point O(x, y) divides a line segment AB with end points at A( $x_1,y_1$ ) and B( $x_2,y_2$ ) in the ratio of n:m, then the location of O is at:

$x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1$

Given that Nates house is located at (-2,4) while the park is located at (10,2). Macs house if it is 1/2 of the distance from Nates house to the park (that is in the ratio of 1:1). Let (x, y) be the coordinate of Macs house, therefore:

$x=\frac{1}{2}(10-(-2))+(-2)=\frac{1}{2}(12)-2=6-2\\\\x= 4\\\\y=\frac{1}{2}(2-4) +4=\frac{1}{2}(-2)+4\\\\y=3$

The location of Macs house is (4, 3)

6 0

2 years ago

Which expression is represented by the model? <br><br> A: x-3<br> B: x+3<br> C: -x-3<br> D: -x+3

Maurinko [17]

Answer:

the answer is D

Step-by-step explanation:

5 0

2 years ago

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The accompanying diagram show a cross-section of a rectangular pyramid. The cross sectional area is 36in and is 3 inches from th

LiRa [457]

The area of the rectangular base is the amount of space on the rectangular base

The area of the rectangular base is 60 square inches

<h3>How to determine the area of the rectangular base?</h3>

The question is incomplete; as the diagram is not given.

So, I will apply the concept of similar shapes to determine the area of the rectangular base

To determine the area of the rectangular base, we make use of the following equivalent ratio:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Find the difference. (3-4x)-3(2.4x-7)