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denpristay [2]
3 years ago
12

Simplify the expression -3 divided by -2/5.

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
You can either convert -3 into a fraction, or convert -2/5 into a decimal so you can solve this.
If you decide to convert -3, into a fraction, it would be -3/1, and you'd have to multiply that by the reciprocal of -2/5.
So, you'd have -3/1(-5/2)=15/2, which can be simplified to 7 1/2.
If you decide to convert -2/5 into a decimal, you would get -0.4. You would then divide -3 by -0.4, which is equal to 7.5.
Both 7.5 and 7 1/2 are correct answers, and if you were to convert 7.5 into a fraction and 7 1/2 into a decimal, you would notice that they are the same number, but in different forms.
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A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
mr. hapwe is buying new cowboy hats. All together the hats cost 75.12., The second hats cost twice as much as the first hat. wha
Anna11 [10]
The answer is $50.08.
6 0
3 years ago
CAN SOMEONE PLEASE HELP ME??? THIS ANSWER IS NOT PROPERLY SELECTED...IT WAS CLICKED ON BY ACCIDENT...PLEASE DO NOT CHEAT OR LIE
zhannawk [14.2K]

Answer:

The answer is Option B

Step-by-step explanation:

<u>Step 1:  Find the points</u>

The leftmost point is:  <em>(-3, -1)</em>

The next point is:  <em>(-2, 2)</em>

The next point is:  <em>(1, 0)</em>

The next point is:  <em>(3, 1)</em>

The rightmost point is: <em> (4, -2)</em>

<em />

Answer:  The answer is Option B

7 0
3 years ago
Read 2 more answers
How do I solve this equation?
Norma-Jean [14]

Answer:

1. move the constant to the right hand side to change its sign.

2.add the numbers.

3. using the absolute value definition rewrite the absolute value equation as two separate equations.

4.slove the equation for X

Step-by-step explanation:

it has two solutions

x=8

x= -9

the answer should be X1= 9, x2 =8

6 0
3 years ago
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The graph of the function f(x) = -(x+6)(x + 2) is shown
Leokris [45]

Answer:

The function is increasing for all real values of x where

x < –4.

Step-by-step explanation:

we have

f(x)=-(x+6)(x+2)

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex (h,k) represent  a maximum

The roots of the function (or x-intercepts) are x=-6 and x=-2

The x-coordinate of the vertex is the midpoint of the roots

so

h=(-2-6)/2=-4

The y-coordinate of the vertex is

substitute the x-coordinate of the vertex in the quadratic equation

k=-(-4+6)(-4+2)

k=-(2)(-2)

k=4

The vertex is the point (-4,4)

The function is increasing in the interval (-∞,-4)

The function is decreasing in the interval (-4,∞)

6 0
3 years ago
Read 2 more answers
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