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3 years ago

What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

Slope is undefined

Step-by-step explanation:

Slope is calculated by $\frac{y1-y2}{x1-x2}$ so now you put the points (-10,4) and (-10,8) into that.

Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.

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Solve the divison problem (-1 3/5) / (-2/3) as a mixed number

Vitek1552 [10]

Answer:

$2\frac{2}{5}$

Step-by-step explanation:

6 0

3 years ago

John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach i

MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

$2.7 million
$2.4 million
$2.2 million
$2 million
$1.5 million
$1.5 million
$0.5 million
$0.5 million
$0.2 million
$0.1 million

sample mean = $1.36 million

the standard deviation:

$2.7 million - $1.36 million = 1.34² = 1.7956
$2.4 million - $1.36 million = 1.04² = 1.0816
$2.2 million - $1.36 million = 0.84² = 0.7056
$2 million - $1.36 million = 0.64² = 0.4096
$1.5 million - $1.36 million = 0.14² = 0.0196
$1.5 million - $1.36 million = 0.14² = 0.0196
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.5 million - $1.36 million = -0.86² = 0.7396
$0.2 million - $1.36 million = -1.16² = 1.3456
$0.1 million - $1.36 million = -1.26² = 1.5876
total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

7 0

2 years ago

Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4

Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

$15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}$

So the area of 1st rectangle is

$A_1 = 12\times \frac{61}{4} = 183 \: in^{2}$

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

$10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}$

$10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}$

So the area of 2nd rectangle is

$A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}$

The total construction paper needed for this project is

$A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}$

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0

3 years ago

The rate at which an assembly line workers efficiency E (expressed as a percent) changes with respect to time t is given by E'(t

zavuch27 [327]

By the fundamental theorem of calculus,

$E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du$

So we have

$E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du$

$E(t)=92+(75u-3u^2)\bigg|_1^t$

$E(t)=20 + 75 t - 3 t^2$

4 0

2 years ago

Cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?

prohojiy [21]

Answer:

C) 142,488

Step-by-step explanation: by adding up here semimonthly, also took test.

8 0

3 years ago