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4 years ago

Is 4/5 greater or less than 45/100? How do you know?

Mathematics

2 answers:

iren [92.7K]4 years ago

4 0

Answer:

4/5 because you have to multiply the denominator by 20 and the numerator by 20 so then you will get your answer 80/100

Step-by-step explanation:

8090 [49]4 years ago

4 0

For now, assume 4/5 and 45/100 are equal fractions

4/5 = 45/100

4*100 = 5*45 ... cross multiply

400 = 180

Since the left side (400) is larger than the right side (180), this means that the original left side (4/5) is larger than the original right side (45/100)

We can go back to the steps above and replace every equal sign with a "greater than sign" like so

4/5 > 45/100

4*100 > 5*45 ... cross multiply

400 > 180

the third inequality is true, which confirms the first inequality must also be true

Further confirmation can be found through using a calculator to convert to decimal form

4/5 = 0.80

45/100 = 0.45

We see that 0.80 is larger than 0.45, so 4/5 is larger than 45/100.

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A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to

Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

Let $\mu$ = population average weight of a cereal box

So, Null Hypothesis, $H_0$ : $\mu$ = 13 ounces {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 13 ounces {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average weight = 12.85 ounces

$\sigma$ = sample standard deviation = 0.75 ounces

n = sample of boxes = 36

So, test statistics = $\frac{12.85-13}{\frac{0.75}{\sqrt{36} } }$ ~ $t_3_5$

= -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test.

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

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0

3 years ago

Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is t

UNO [17]

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts? Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

5 0

3 years ago

(n 4 - 2n 3 - 3n 2 + 7n - 2) ÷ (n - 2)

GrogVix [38]

I believe it's

- 1 - $\frac{4}{n - 2}$

Hope I helped! ( Smiles )

7 0

3 years ago

Read 2 more answers

You just got a new job with the Biden Administration as a House Clerk working full time (40 hours a week) with

avanturin [10]

Answer:

Step-by-step explanation:

You are making alot of money but you can't pay off all of this and still have money left over

3 0

3 years ago

Solve for x: -3(x-2)^2+17=0 round your answer to the nearest hundredth

kicyunya [14]

Answer:

-3(x-2)×2+17=0

-3x+6×2+17=0
-3x+12+17=0
-3x+29=0
-3x=0-29=-29
-3x=-29
29÷3=9.700 to the nearest hundredth

8 0

3 years ago