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Volgvan
2 years ago
11

Find the value of X in the triangle shown below

Mathematics
1 answer:
QveST [7]2 years ago
7 0

Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

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15 different tasks are assigned to 8 different people. There are no restrictions on the number of tasks that can be given to any
Lunna [17]

Answer:

3.52 * 10^{13}ways

Step-by-step explanation:

Since 1 task can be assigned to 1 person, we can start by assigning people to the task. There are 15 different task, so at the first task there are 8 choices, at the 2nd task there are also 8 choices, and so on. There's also the fact that these tasks are all different.

Therefore the total number of way to assign 8 people to 15 tasks is

8^15 = 3.52 * 10^{13} ways

8 0
3 years ago
What’s the length of AZ. If A is between Y and Z, Y A = 22, AZ = 16x, and Y Z = 166
VLD [36.1K]

Answer:

c) 144

Step-by-step explanation:

Since A is between Y and Z,

YZ = YA + AZ

116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9

however, the question asks for the length of AZ, not the value of x.

Thus,

AZ = 16x

AZ = 16\\ × 9

AZ = 144

7 0
2 years ago
Yardı m eder misiniz? ​
IceJOKER [234]

Answer:

sorry I couldn't understand the language so I can't give u ans..

5 0
3 years ago
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
professor190 [17]

Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

6 0
3 years ago
Ava's credit card balance is $64. If she makes a $25 payment, then charges $79, find the balance on the card.
DiKsa [7]
Answer : 118 or -40


Explanation I didn’t know which one you meant
6 0
3 years ago
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