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faltersainse [42]
3 years ago
15

charlotte is working two summer jobs, making $18 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she

can work at most 15 total hours and must earn a minimum of $150. if charlotte worked 5 hours walking dogs, determine the minimum of whole hours lifeguarding that she must work to meet her requirements.
Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

So, 5 x 6 = 30

150 - 30 = 120

Then find out the number of hours by dividing 120 by 18.

In this case,

120 / 18 = 6.666666666666667

The answer is 6.6 or at estimation 7.

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Which expression gives the distance between the points (2,3) and 4,-3)?
OleMash [197]

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

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Answer:

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Step-by-step explanation:

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3 years ago
A random sample of 77 fields of durum wheat has a mean yield of 27.427.4 bushels per acre and standard deviation of 5.755.75 bus
xz_007 [3.2K]

Answer:

[ 21.79, 33.0 ]

Step-by-step explanation:

Given:

Sample size, n = 7

Sample mean, μ = 27.4

Standard deviation, σ = 5.75

Confidence level is 99%

also, population is normal i.e normally distributed

Thus,

Confidence interval = μ ± z\frac{\sigma}{\sqrt n}

For confidence level of 99%

z-value = 2.58

Therefore,

Lower limit of Confidence interval = μ - 2.58\times\frac{5.75}{\sqrt{7}}

or

Lower limit of Confidence interval = 27.4 - 2.58\times\frac{5.75}{\sqrt{7}}

or

Lower limit of Confidence interval = 21.79

Upper limit of Confidence interval = μ + 2.58\times\frac{5.75}{\sqrt{7}}

or

Upper limit of Confidence interval = 27.4 + 2.58\times\frac{5.75}{\sqrt{7}}

or

Upper limit of Confidence interval = 33.00

Hence, confidence interval = [ 21.79, 33.0 ]

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3 years ago
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3 0
3 years ago
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What is the slope of the line that’s parallel to the line whose equation is 2x+y=4
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\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\2x+y=4\qquad\text{subtract 2x from both sides}\\\\y=-2x+4\to m_1=-2\\\\Amswer:\ \boxed{slope=-2}

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3 years ago
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