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DedPeter [7]
2 years ago
9

Determine the value of y, if x is 4. Y=|x-7|

Mathematics
1 answer:
Eduardwww [97]2 years ago
8 0

Answer: 3

Step-by-step explanation:

y = |4-7|

y = |-3|

y = 3

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The cost of electricity in a certain city is $0.08 for each of the first 300kWh (kilowatt-hours) and $0.13 for each kilowatt-hou
Ivahew [28]

Step-by-step explanation:

0.08*300 + 0.13x = 51.95

Multiply thru by 100 to get:

8*300 + 13x = 5195

13x = 5195-2400

13x = 2,795

x = 215 hours

7 0
3 years ago
Read 2 more answers
A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i
garri49 [273]

Answer:

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.

System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

6 0
3 years ago
In Triangle ABC, AC is extended through C to D. If
DENIUS [597]

Answer:

X  = 5 unit

Step-by-step explanation:

Given as , ABC is a Triangle ,

AC extended to through C to D

∠BAC = 6x + 10

∠ABC = 6x - 10

∠BCD = ∠ 8x + 20

When c extended to D then , ∠BCD is an external angle

∵ <u>External angle = Sum of opposite internal angles</u>

Or ,∠BCD = ∠BAC + ∠ABC

Or, ∠ 8x + 20 = 6x + 10 + 6x - 10

Or, ∠ 8x + 20 = 12x

Or, 12x - 8x = 20

∴ 4x = 20

So, x = \frac{20}{4} = 5

Hence the value of X = 5  unit  Answer

8 0
3 years ago
A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in
aliina [53]

Answer:

59 students

Step-by-step explanation:

<em><u>3s+2</u></em>

5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59

<em><u>4s+3</u></em>

7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59

<em><u>5s+4</u></em>

9, 14, 19, 24, 29, 34, 39, 44, 49, 54, 59

<em><u>6s+5</u></em>

11, 17, 23, 29, 35, 41, 47, 53, 59

The smallest number of students there could have been is 59.

4 0
3 years ago
Evaluate −8x+5−2x−4+5x when x=2
ollegr [7]

−8x+5−2x−4+5x

-8(2)+5-2(2)-4+5(2)

(-16)+5-4-4+10

-11+5-4-4+10

-6+5-4-4+10

-1+5-4-4+10

4-4-4+10

0-4+10

-4+10

Answer: 6



4 0
3 years ago
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