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Natasha2012 [34]
3 years ago
9

In driving down to Salem, Nathan strictly followed the speed limit. He drove 55 mph for 15 minutes in the city and then 65 mph f

or 25 min through the countryside.
What was Nathan’s average speed for the whole trip?
Mathematics
1 answer:
Rashid [163]3 years ago
7 0

61.25MPH

55*15+65*25=2450

2450/40=61.25MPH

ANSWER IS 61.25 MPH

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-3(8+j)=-16+5j<br> HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT
iogann1982 [59]

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

8 0
2 years ago
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Solve (x - 5)^2 = 3.
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Answer:

Step-by-step explanatil

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3 years ago
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
For which values of s would the product of s/5 ×10 be greater than 10?
Neporo4naja [7]

Answer:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

Step-by-step explanation:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

6 0
3 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

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:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
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