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boyakko [2]
3 years ago
6

Simplify each expression below.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

Step-by-step explanation:

A: 2/3 - 1/8 = 16/24 - 3/24 = 13/24  which is greater than 1/3. 8/24 = 1/3

B: 5/6 - 1/4 = 20/24 - 6/24 = 14/24 which is greater than 1/3. 8/24 = 1/3

C: 10/15 - 6/15 = 4/15. 5/15 = 1/3. This is smaller than 1/3

D: 1 1/4 - 1 1/8 = 1/8 which is less than 1/3

Answer: A and B

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Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012
Yuki888 [10]

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = 10\dfrac12 inches  = \dfrac{21}{2} inches

Length of each sticker = \dfrac34 inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = \text{(Length of spine)}\div (\text{Length of each sticker})

=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14

The number of stickers she used to cover the length of the spine = 14.

4 0
3 years ago
Please Help! ASAP! WIll give Brainliest
goblinko [34]

Answer:

x/2 = 12.5/5

5 · x = 12.5 · 2

5x = 25

5x / 5 = 25 / 5

x = 5

Step-by-step explanation:

4 0
3 years ago
If log_3(x)=4.5 and log_3(y)=3, what is log_3(x^2/y)?<br><br>a. 3<br>b. 6.75<br>c. 6<br>d. 1.5​
astraxan [27]

There all log base 3, the base won't matter as long as they're all the same.

log(x^2/y)=2log(x)-log(y)=2(4.5)-3=6

Answer: c. 6

4 0
3 years ago
What is M G to the nearest tenth
horsena [70]

Answer:

tan m‹G = 28.2/45.8

m‹G= 31.62°

4 0
2 years ago
a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle
madam [21]

Answer:

A.

H_0: \mu\leq514\\\\H_1: \mu>514

B. Z=2.255. P=0.01207.

C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. P(z>0.94)=0.1736

Step-by-step explanation:

<em>A. state the null and alternative hypotheses.</em>

The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.

H_0: \mu\leq514\\\\H_1: \mu>514

B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?

The test statistic Z can be calculated as

Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255

The P-value of z=2.255 is P=0.01207.

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.

C.​ do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?

Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?

In this case, the z-value is

Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha

In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.

The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.

Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.

8 0
2 years ago
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