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aksik [14]
2 years ago
6

Write an inequality that best matches this description

Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer:

x \geq 3(y + z)

Step-by-step explanation:

I am going to say that:

Mary's amount is x.

Ashley's amount is y.

Oscar's amount is z.

Mary has at least 3 times the amount of cash that ashley and oscar have combined

Ashley's and Oscar's combined amount is y + z.

3 times this amount is 3(y + z).

At least 3 times means that z is equal or greater than 3(y + z).

So

x \geq 3(y + z)

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Someone please help me!
Nuetrik [128]

Answer:

33

Step-by-step explanation:

25/30=45/x

x=63

63-30=?

?=33

5 0
3 years ago
A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
kirill115 [55]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By observing the given information, we have :-

H_0:\mu\leq4\\\\H_a:\mu>4

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size :  n=121 , since n>30 so we use z-test.

Sample mean : \overline{x}=3.15

Standard deviation : \sigma=1.2

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.1}=1.2816

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0
3 years ago
Help me out please????
frutty [35]

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

6 0
2 years ago
Right triangles 1, 2, 3 are given with all their angle measures
zlopas [31]

Answer:

6.4/7.7 is the ratio

Step-by-step explanation:

The bottom triangle matches the 50 40 90 angle, so the ratio of the triangle length is consistent

- Gage Millar, Algebra 2 tutor

6 0
2 years ago
Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has
Mazyrski [523]

Answer:

Julia has  enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs \frac{13}{16} gallon of gas to mow first yard.

Julia needs \frac{2}{5} gallon of gas to mow second yard.

Julia has a total of 1\frac{1}{2} gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ \frac{13}{16}+\frac{2}{5}

Taking LCD =80.

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Adding the numerators.

⇒ \frac{97}{80}

⇒ 1.2125 gallons

Julia has 1\frac{1}{2} gallon = 1.5 gallons of gas in in her can.

Since  1.5>1.21 , thus we can say that Julia has enough gas to mow the two yards.

8 0
2 years ago
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