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mojhsa [17]
3 years ago
9

Marco is making mosaic garden stones using red, yellow and blue tiles. He has 45 red tiles, 90 blue tiles and 75 yellow tiles. E

ach stone must have the same number of each color tile. What is the greatest number of stones Marco can make? How many of each color tile will Marco use in each stone? How can Marco use the GCF to find out how many tiles he has in all?
Mathematics
2 answers:
dsp733 years ago
8 0
Find the GCF of 45, 90, 75: which is 15

So he can make 15 stones total.

Divide each of the color numbers by 15 to get the number of tiles he uses in each stone
klemol [59]3 years ago
4 0
The Greatest Common Factor: ( 45, 90 , 75 ) = 15
The greatest number of stones Marco can make is 15.
45 : 15 = 3
90 : 15 = 6
75 : 15 = 5
He will use:  3 red, 6 blue and 5 yellow tiles in each stone.
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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B5%20-%202%7D%20%7D%20" id="TexFormula1" title
Artemon [7]

Answer:

so yea what was the answer again

Step-by-step explanation:

6 0
3 years ago
2r + 1.6b = 10 but r is independent variable
kipiarov [429]

Answer:

it's either B=6.25-1.25r or it's r=5-0.8b

8 0
3 years ago
A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school
nekit [7.7K]

Answer:

We conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

Step-by-step explanation:

We are given that a study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors in Illinois.

Results showed that 34 of the freshmen and 24 of the seniors had used anabolic steroids.

Let p_1 = <u><em>proportion of Illinois high school freshmen who have used anabolic steroids.</em></u>

p_2 = <u><em>proportion of Illinois high school seniors who have used anabolic steroids.</em></u>

SO, Null Hypothesis, H_0 : p_1=p_2      {means that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

Alternate Hypothesis, H_A : p_1\neq p_2      {means that there is a significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids}

The test statistics that would be used here <u>Two-sample z test for</u> <u>proportions</u>;

                        T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of high school freshmen who have used anabolic steroids = \frac{34}{1679} = 0.0203

\hat p_2 = sample proportion of high school seniors who have used anabolic steroids = \frac{24}{1366} = 0.0176

n_1 = sample of high school freshmen = 1679

n_2 = sample of high school seniors = 1366

So, <u><em>the test statistics</em></u>  =  \frac{(0.0203-0.0176)-(0)}{\sqrt{\frac{0.0203(1-0.0203)}{1679}+\frac{0.0176(1-0.0176)}{1366} } }

                                     =  0.545

The value of z test statistics is 0.545.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that there is no significant difference in the proportion of all Illinois high school freshmen and seniors who have used anabolic steroids.

3 0
3 years ago
Can someone help me with this please? :)))​
Natali5045456 [20]

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

7 0
2 years ago
Read 2 more answers
Y * x = 20<br><br> y + x = 9 <br><br> what numbers are y and x equal to?
Ksivusya [100]

y = 9 - x
Substitute into
y \times x = 20 \\ (9 - x) \times x = 20 \\  { - x}^{2}  + 9x = 20 \\  {x}^{2}  - 9x  + 20 = 0 \\ (x - 5)(x -4) = 0 \\  x = 5 \: or \: x = 4
When x = 5,
y = 9 - 5 \\ y = 4
When x = 4,
y = 9 - 4 \\ y = 5

x = 5, y = 4
x = 4, y = 5

Hope this helps. - M
4 0
3 years ago
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