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olga2289 [7]
3 years ago
9

120% of x is equal to 78.

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

x= 65

Step-by-step explanation:

Set up the equation:

78 120

--- = ---

x 100

Crossmultiply:

78*100 = 120x

7800 = 120x

x=65

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A software company decided to conduct a survey on customer satisfaction. Out of 564 customers who participated in the online sur
nikklg [1K]

Answer:

z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8  

p_v =2*P(z  

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

\hat p=\frac{51}{564}=0.0904 estimated proportion of people who rated the overall services as poor  

p_o=0.1 is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

The statistic for a one z test for a proportion is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8  

And the p value since we have a bilateral test is given b:

p_v =2*P(z  

3 0
3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
2 years ago
Toni and Jade live on the same street as the Middle School. Toni lives 6.1
Nataly_w [17]

Answer:

Jade and Toni are 58.1 miles apart from each other.

Step-by-step explanation:

All you have to do is add the distances.

52 + 6.1 = 58.1

5 0
3 years ago
Please help on a maths question, Brainiest for the best answer!!!
ankoles [38]

Answer:

36.6 cm

Step-by-step explanation:

Each side, starting with the one all the way to the left and going anticlockwise.

7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6

4 0
2 years ago
Read 2 more answers
3/6x + 9 = 8 what does x equal
Anastaziya [24]
3/6x+9=8
3x+9=8
3x=-1
x= -1/3
3 0
3 years ago
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