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victus00 [196]
3 years ago
15

You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there?

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

C(5,3)=10

Pictures 1,2,3,4,5

So the Possible sets are:

(1,2,3) (1,2,4)

(1,2,5) (1,3,4)

(1,3,5) (1,4,5)

(2,3,4) (2,3,5)

(2,4,5) (3,4,5)

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A researcher claims that the mean cost of raising a child from birth to age 2 by husband­wife families in the U.S. is $13,960. A
irina1246 [14]

Answer:

Yes, there enough evidence to reject the claim.

Step-by-step explanation:

Here we need to perform a test for single mean to determine whether the  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypothesis is:

<em>H₀</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.

<em>Hₐ</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.

The information provided is:

\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24

The test statistic value is -2.24.

Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:

p-value=2\times P(Z

               =2\times 0.01255\\=0.0251

Use the <em>z</em>-table.

The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.

<u>Conclusion</u>:

As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.

The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.

5 0
3 years ago
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relations
KengaRu [80]

Answer:

The answer is below

Step-by-step explanation:

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes

Solution:

Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.

Hence:

m + n = 30

60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.

The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time

The total distance ran (D) is:

D = 5.4(m/60) + b(n/60)

6 0
3 years ago
45(15x+20)−7x=56(12x−24)+6 Enter your answer in the box. 
zzz [600]
X=1119/2 hope this helps :)
3 0
3 years ago
Write the expression in simpliest form WILL GIIVE BRAINLIEST<br> 3 (2x - 3)
AlekseyPX

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

7 0
3 years ago
Find the slope of the line passing through the points (-6,2), (0,-6).
Serhud [2]

C. -4/3

slope =  \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )}  \\  =  \frac{( - 6 - 2)}{(0 -( -  6)}  \\  =  \frac{ - 8}{ 6}  \\  =   - \frac{4}{3}

3 0
3 years ago
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