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Reika [66]
3 years ago
5

Kayla used 4/14 of her allowance to buy yogurt and 8/14 of her allowance to go skating. What fraction of her allowance does she

have left? Explain your thinking.
Mathematics
1 answer:
Monica [59]3 years ago
7 0
4/14+8/14=12/14, so she has 2/14 left
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Ariana earns 20% commission as a salesperson. She sold a ceramic vase that cost $78. How much commission did Ariana earn?​
frutty [35]

Answer:

The answer is 15.6.

Step-by-step explanation:

20% of $78 = 15.6

Please mark as brainliest if this helped!

8 0
3 years ago
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 bag contains 3 purple and 5 orange jelly-beans. If one jelly-bean is selected, then replaced and a second jelly-bean is select
Ainat [17]
2 purple & 4 orange
3 0
3 years ago
Read 2 more answers
Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.
Galina-37 [17]
Note that a squared pyramid has a square base & 4 equal triangles.
To find the lateral the lateral area you calculate the area of the 4 equal triangles  and to find the surface area (total Area) you add the area of the base:

Area of each triangle = side (5) x slant (9) and you divide by 2

==>Aera of 1 triangle = (9x5)/2 = 45/2 & for the 4 triangles

Lateral area = (45/2) x 4 = 90 in²

Now the base area (square) = 5 x 5= 25 in²

so the surface area = 90+25 = 115 in² (answer a)
7 0
3 years ago
Find the slope of the line that contains the points (-5, 3) and (-1, -5).
My name is Ann [436]
Slope of the line
(3-(-5)) / (-5-(-1))
8 / -4
-2
3 0
3 years ago
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