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Archy [21]
3 years ago
14

Evaluate 5x2−9 when x=−2

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

answer: 11

explanation: just plug in -2 for x. the new problem becomes 5(-2)^2 - 9. Negative two squared is 4. 5 times 4 is 20. 20 minus 9 is 11.

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Battery packs in electric go-carts need to last a fairly long time. The run-times (time until it needs to be recharged) of the b
pav-90 [236]

Answer:

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

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 = 2, \sigma = 0.33

What is the minimum level for which the battery pack will be classified as highly sought-after class

At least the 100-10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

1.28 = \frac{X - 2}{0.33}

X - 2 = 0.33*1.28

X = 2.42

The minimum level for which the battery pack will be classified as highly sought-after class is 2.42 hours

4 0
3 years ago
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draw
Georgia [21]
The language art teacher wants to know the opinion of the ENTIRE school, so it would be fair if the teacher takes a sample from the ENTIRE school population. She can use the stratified sampling method where she can take a proportionate sample from each grade. 

Correct answer: All students in each grade
3 0
3 years ago
Please help me on this
Alchen [17]

Answer:

btw the pic is not loading and i am sure if you just listened to your teacher you would understand the question and it would not be so hard.

Step-by-step explanation:

8 0
3 years ago
Directions: Select the correct answer from each drop-down menu.Sandy's orchard has only apple trees and pear trees and she is wa
valentina_108 [34]
First lets get the ratio for the avocado and pear trees and work from there
We know there are 5 pear trees for every 2 avocado trees or 5:2

Since we know the total Avocado trees is 18 we can find out how much to multiply the ratio by dividing the total number of trees(18) by the Avocado portion of the ratio (2) 18/2 = 9. 

This means to get the total number of pear trees we need to also multiply the pear side of the ratio (5) by 9.  5*9 = 45 pear trees

Now that we know the pear trees we do the same thing with the apple and pear trees to figure out the total apple trees.  The ratio of apple to pear trees is 4:3.

Since we know the total number of pear trees is 45 we divide that by the pear side of the ratio (3) to get our multiplier.  45/3=15. 

We then multiply our apple side of the ratio (4) by our multiplier (15) to get our total number of apple trees.  4*15=60

Now we know that we have 60 apple trees and 18 avocado trees or 60:18 which reduced is 10:3  apple trees:avocado trees
3 0
3 years ago
Homework Question Help Pls
STatiana [176]

Answer:

3.07091228=x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 21 = x/8

8 tan 21 =x

3.07091228=x

5 0
3 years ago
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