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Monica [59]
3 years ago
12

What is the solution to the inequality? -4/5x is greater than or equal to 1/10

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
-4x/5≥1/10
-8x≥1
x≤-1/8
x∈(-∞;-1/8]
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Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.
lyudmila [28]
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!
4 0
3 years ago
Alexis is making bread dough.The recipe requires 3/4 cup of flour and 1 2/5 teaspoon of salt. To maintain the ratio,how much sal
tekilochka [14]

Answer:

16/5 teaspoons

Step-by-step explanation:

1/4 cups of flour uses 4/15 teaspoon so 4/15 x 4 is 16/5

7 0
3 years ago
Jimmy is about to pick a marble from the jar. How likely is it that he will pick a blue marble?
Sav [38]

Answer:

depends on how many different colors there are in the jar and how many marbles there are.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
I just started the problem, but I'm a bit lost on what to do now.
borishaifa [10]
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.

240 / 3 = 80

Then multiply by 9 to get your answer.

9 * 80 = 720
8 0
3 years ago
According to the U.S. Bureau of the Census, the average age of brides marrying for the first time is 23.9 years with a populatio
JulsSmile [24]

Answer:

We conclude that young women are delaying marriage and marrying at a later age.

Step-by-step explanation:

We are given that the average age of brides marrying for the first time is 23.9 years with a population standard deviation of 4.2 years.

The sociologist randomly samples 100 marriage records and determines the average age of the first time brides is 24.9 years.

Let \mu = <u><em>average age of brides marrying for the first time.</em></u>

So, Null Hypothesis, H_0 : \mu = 23.9 years     {means that young women are not delaying marriage and marrying at a later age}

Alternate Hypothesis, H_A : \mu > 23.9 years     {means that young women are delaying marriage and marrying at a later age}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                         T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample average age of the first time brides = 24.9 years

            \sigma = population standard deviation = 4.2 years

            n = sample of marriage records = 100

So, <u><em>the test statistics</em></u>  =  \frac{24.9-23.9}{\frac{4.2}{\sqrt{100} } }

                                     =  2.381

The value of z test statistics is 2.381.

<u>Now, at 1% significance level the z table gives critical value of and 2.326 for right-tailed test.</u>

Since our test statistic is more than the critical value of z as 2.381 > 2.326, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that young women are delaying marriage and marrying at a later age.

5 0
3 years ago
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