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3 years ago

Solve the inequality 4x − 6 > 6x − 20. (5 pointsSolve the inequality 4x − 6 > 6x − 20. (5 points)

Mathematics

2 answers:

taurus [48]3 years ago

8 0

Step-by-step explanation:

4x-6x>-20+6

-2x>-14

x>7

BaLLatris [955]3 years ago

7 0

Answer:

The other one is wrong you have to flip the sign after you divide the correct answer is 7<x

Step-by-step explanation:

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Y = -1/3 x + 2

dangina [55]

Answer:

X = 0

Y = 2

so Option A (0,2) IS CORRECT

Step-by-step explanation:

Y = -1/3 x + 2 equation 1

Y = x+ 2 equation 2

from equation 2 we have

y = x+ 2 Put in equation 1

x + 2 = -1/3 x + 2

x +1/3x = 2 -2

0.67 x = 0

X = 0

so put x =0 in equation 2 then we have

y = x +2

Y = 0+ 2

Y = 2

3 0

3 years ago

Franklin uses the distributive property to write an expression equivalent to 18 + 36. Which of the following best represents Fra

allsm [11]

18+36=54
i tried to do all of these and none of them add up to 54

6 0

3 years ago

Read 2 more answers

The results of a national survey showed that on average, adults sleep 6.7 hours per night. Suppose that the standard deviation i

Roman55 [17]

Answer:

a) Atleast 75%

b) Atleast 88.9%

c) 95%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.7

Standard Deviation, σ = 1.6

Chebyshev's Theorem:

Atleast $1 - \dfrac{1}{k^2}$ percent of data lies within k standard deviation of mean.

Empirical Rule:

Almost all the data lies within 3 standard deviation for a normal data.
Around 68% of data lies within 1 standard deviation of mean.
Around 95% of data lies within 2 standard deviation of mean.
Around 99.7% of data lies within 3 standard deviations o mean.

a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours

$3.5 = \mu - 2\sigma = 6.7 - 2(1.6)\\9.9 = \mu + 2\sigma = 6.7 + 2(1.6)$

We have to find the percent of data lying within 2 standard deviation of mean.

Putting k = 2

$1 - \dfrac{1}{(2)^2} = 0.75 = 75\%$

Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.

b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours

$2.7 = \mu - 3\sigma = 6.7 - 3(1.6)\\10.7 = \mu + 3\sigma = 6.7 + 3(1.6)$

We have to find the percent of data lying within 3 standard deviation of mean.

Putting k = 3

$1 - \dfrac{1}{(3)^2} = 0.889 = 88.9\%$

Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.

c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.

Thus, we have to find the percentage of data lying within 2 standard deviation.

By empirical rule, around 95% of data lies within 2 standard deviation.

Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.

This is higher than the percentage obtained from Chebyshev's rule.

4 0

3 years ago

The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti

dexar [7]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were: 2 + 1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

8 0

3 years ago

Madison drew angle DEF In her triangle, angle d is represented as x degrees. The measure of Angle E is half the measure of angle

Olenka [21]

D = x
E = .5x
F = 2x-2

(x)+(.5x)+(2x-2)=180
3.5x-2=180
3.5x=182
x=52

F = 2(52)-2 = 102 degrees

5 0

3 years ago

Read 2 more answers