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Jlenok [28]
3 years ago
5

2x-5=7 Find out what x is

Mathematics
2 answers:
adelina 88 [10]3 years ago
3 0

Answer:

x= 6

hope this help

have a great day

ICE Princess25 [194]3 years ago
3 0

Answer:

x=6

Step-by-step explanation:

2x-5=7

+5

2x=12

/2

x=6

Hope This Helps :)

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A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it
garri49 [273]

Answer:

t = 2.9272 > 1.708 at 25 degrees of freedom

null hypothesis is rejected

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

Step-by-step explanation:

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

A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.

Given sample size 'n' = 26

The mean of the sample 'x⁻ = 21.1 min

Standard deviation of the sample 'S' = 5.4 min

The Population mean 'μ' = 18min

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

<u>Null hypothesis: H₀</u> :  The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.

'μ' > 18min

<u>Alternative hypothesis</u> :H₁:  

'μ' <18min

<u>Level of significance :</u> ∝=0.05

Degrees of freedom γ = n-1 = 26-1 =25

The test statistic

 t  = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

t  = \frac{21.1-18}{\frac{5.4}{\sqrt{26} } }

t = 2.9272

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

The tabulated value t = 1.708 at 25 degrees of freedom

t = 2.9272 > 1.708 at 25 degrees of freedom

Null hypothesis is rejected at  5% significance level of significance

<u>Conclusion</u>:-  

The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes

8 0
3 years ago
A trapezoid has an area of 24 square meters. The lengths of the bases of the trapezoid are 5 meters and 7 meters. What is the he
Maurinko [17]

The area of any trapezoid is

                      Area = (1/2) x (height) x (one base + the other base) .

Take that formula and write in the numbers you know:

                 (24 m²) = (1/2) x (height) x (5m + 7m)

                 (24 m²) =  (6m) x (height)

Divide each side by  6m :

                 Height = (24 m² / 6m) 

                            =     4 m .

3 0
3 years ago
Read 2 more answers
M% of n is what percent of p?
babunello [35]
Let x be the percent of p asked 
then 
m% of n = x% of p 
m/100*n = x/100*p 
mn = xp 
x = mn/p 
8 0
3 years ago
Yes or no help please
maria [59]

Answer:

No

Step-by-step explanation:

the quantities are not proportional because 7/8 is greater than 2/4. Hope this helps!

8 0
3 years ago
Read 2 more answers
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be 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:

\mu = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
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