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erastovalidia [21]
3 years ago
13

In a sample of students, 12 out of 24 students in a class wanted a sandwich for lunch. Using the data from the sample, predict h

ow many students would want sandwiches for lunch in a school of 400
Mathematics
1 answer:
Alona [7]3 years ago
3 0
12 of 24 = 50%

50% of 400 = 200

Your answer is 200.
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When a figure is translated, what is true, compared to the preimage of the figure
Charra [1.4K]
When you translate something in geometry, you're simply moving it around. You don't distort it in any way. If you translate a segment, it remains a segment, and its length doesn't change. Similarly, if you translate an angle, the measure of the angle doesn't change.
6 0
2 years ago
Try to find x & y. I need it so much please
kumpel [21]

Answer:

x = 3

y = 5

Step-by-step explanation:

Using theorem of similar triangles, we have,

(6 + x)/6 = (7 + 3.5)/7

(6 + x)/6 = 10.5/7

Cross multiply

7(6 + x) = 10.5(6)

42 + 7x = 63

7x = 63 - 42

7x = 21

x = 21/7

x = 3

Thus:

7.5/y = (7 + 3.5)/7

7.5/y = 10.5/7

Cross multiply

7.5*7 = 10.5*y

52.5 = 10.5*y

Divide both sides by 10.5

52.5/10.5 = y

y = 5

3 0
3 years ago
A ball of radius 11 has a round hole of radius 5
inn [45]

Answer:

3,847.40376

Step-by-step explanation:

Volume of a sphere=

4/3π(11)³=5,575.27976

Volume of a cylinder=

π(5)²(22)=1,727.876

Total volume=

5,575.27976-1,727.876=3,847.40376

3 0
3 years ago
A sample of 38 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.
kaheart [24]

Answer:

a. two-tailed test

b. reject H0 if Z>1.96 or Z<-1.96

c. Z = 1.73

d. we have failed to reject the null hypothesis

e. P-value = 0.0418

Step-by-step explanation:

We will use a Z test to resolve this, an it will be a two-tailed test because the hypothesis statements are not indicating a specific direction for the significant difference (H0 : μ1 = μ2 ; H1 : μ1 ≠ μ2), this also means that the significanclevel will be divided between the both tails (2.5% en each tail for the rejection regions). See attached drawing for reference.

We need to find our critical value:

Zα/2 = Z(0.05/2) = 0.025

If we look for 0.025 in a Z table we will find that the critical value is 1.96 to the right, and by symmetry -1.96 to the left. So our decision rule will be to reject H0 if Z>1.96 or Z<-1.96

The Z test will be done using the next equation:

Z = (x⁻1 - x⁻2) - (μ1 - μ2) / √( σ²1/n1 + σ²2/n2

Because we are testing the null hypothesis we know that μ1 - μ2 must be zero if they are supposed to be equal (H0 : μ1 = μ2), so we calculate as follows:

Z = (100.5 - 98.8) - (0) / √( (3.4)²/38 + (5.8)²/51 = 1.7/0.9817 = 1.73

Z<1.96, therefore we have failed to reject the null hypothesis

The P-value for this test would be represented by the probability of Z being greater than 1.73, so we can look for it in any Z table, finding that its value is 0.0418, and because P-value>0.025 we again confirm that we don't have evidence statistically significant to reject the null hypothesis

4 0
3 years ago
20 = 4x+ 6 is equivalent to the equation 24 = 4x + 10
Kruka [31]

Answer:

Addition Property

Step-by-step explanation:

Added 4 on both sides to equate the solution

5 0
2 years ago
Read 2 more answers
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