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gogolik [260]
3 years ago
7

Deon does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least

12 hours. He spends at most 10 hours doing cardiovascular work. He spends at most 6 hours on weight training. Let x denote the time (in hours) that Deon spends doing cardiovascular work. Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

  see attached

Step-by-step explanation:

The line at the lower left of the shaded region is x+y=12. The shaded area is above that line because is represents a minimum amount of exercise.

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Rewrite 7 − 8 using the additive inverse and display the new expression on a number line
Vilka [71]
When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression

-7 + 8

-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
     -7    -6    -5  -4    -3    -2    -1    0     1      2    3     4     5      6    7     8
6 0
2 years ago
6. Find the slope of the given points (3,4) and (7,-4).
Grace [21]

Answer:

-2, C

Step-by-step explanation:

Use the formula: (y2-y1)/(x2-x1)

Substitute the numbers:

(4-(-4)) / (3-7)

=8 / -4

= -2

The slope is -2, or C

7 0
3 years ago
Read 2 more answers
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
A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percent
Softa [21]

Answer:

(d) H_o: p = 0.35 H_a: p > 0.35

Step-by-step explanation:

Given

\mu = 35\%

Required

The hypothesis statements

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H_o: p = 0.35

Second claim: A greater percentage will support the strike.

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H_a: p > 0.35

3 0
2 years ago
X. Y
Dovator [93]

Answer:

Slope:  5

Y-intercept:  0

Equation:  y=5x

Step-by-step explanation:

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Slope is defined as the "Rise/Run" of the line.  The change in y(the rise) for a change in x(the run).  This can be calculated by taking any two of the given data points.  I'll pick (1,5) and (5,25):

Rise = (25 - 5) = 20

Run = (5 - 1) = 4

The Rise/Run, or slope, m, is (20/4) or 5.

<u>The equation becomes y = 5x + b.</u>

To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:

y = 5x + b

y = 5x + b   for (4,20)

20 = 5*(4) + b

b = 0

The line goes through the origin at x = 0 (0,0).

The equation is y = 5x + 0 or just y = 5x.

Slope:  5

Y-intercept:  0

Equation:  y=5x

4 0
1 year ago
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