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MariettaO [177]
3 years ago
13

Pls help me i’m so stuck

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across y = -x, coordinates of the image point will be,

(x, y)→ (-y, -x)

Following this rule,

Vertices of the triangle will be,

(3, 1) → (-1, -3)

(3, -2) → (2, -3)

(6, -3) → (3, -6)

Therefore, image of the given triangle A will be,

(-1, -3), (2, -3) and (3, -6)

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Ford and GM pick up trucks are being tested for fuel efficiency, which is commonly measured in miles per gallon (mpg). The fuel
lina2011 [118]

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use 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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that \mu_{F} = 20, \sigma_{F} = 3

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that \mu_{G} = 24, \sigma_{G} = 4

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4

\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5

This probability is the pvalue of Z when X = 0. So

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

Z = \frac{0 - (-4)}{5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

7 0
3 years ago
FREE POINTS<br> ANSWER THIS <br> 2+2=? <br> LOL
Taya2010 [7]

Answer:

4 lol

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The distribution of 4 in the following expression (5+s)4
ruslelena [56]

Answer:

( 5 + s ) 4 = 20 + 4 s

Step-by-step explanation:

<u><em>Distribution property</em></u>

Let a, b and c are numbers then distribution property is defined by

a( b + c) = a b + a c

(a+ b) c = a c + b c

Given that

( 5 + s ) 4 = 5× 4 + s× 4

               = 20 + 4 s

<u><em>Final answer:-</em></u>

( 5 + s ) 4 = 20 + 4 s

6 0
3 years ago
Draw quick pictures to show the number 326
denpristay [2]
Heres how u make 3 large boxes to show 3 hundreths 2 skinny rectangles to show 2 tens and 6 lil boxes to show 6 ones all together youve got 326!

8 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%2081" id="TexFormula1" title=" {x}^{2} + 81" alt=" {x}^{2} + 8
borishaifa [10]
X to the power of two+81
5 0
3 years ago
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