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andrezito [222]
3 years ago
13

What is 2 and 3/4 as an improper fraction?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

Answer:

11/4

Step-by-step explanation:

You multiply the denominator(4) by the number out front(2) and add the numerator(3)

nadezda [96]3 years ago
3 0

Answer:

12/4

Step-by-step explanation:

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A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05
grigory [225]
The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is p=0.25.

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or p>0.25.

The test statistic in this case will be

Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}

where p_0 is the proportion assumed under the null hypothesis, \hat p is the measured proportion, and n is the sample size. You have p_0=0.25, \hat p=\dfrac{171}{171+409}\approx0.29, and n=409+171=580, so the test statistic is

Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247

Because you're testing p>p_0, this is a right-tailed test, so the P-value is

\mathbb P(Z>2.2247)\approx0.0131

The critical value for a right-tail test at a 0.05 significance level is Z_\alpha\approx1.6449, which means the rejection region is any test statistic that is larger than this critical value. Since Z>Z_\alpha in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.
8 0
3 years ago
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Vlada [557]
78 qt = y = max+b to the equation.
6 0
3 years ago
Problem #4 My teacher said that for every student who earned an A on the last
podryga [215]

Answer:

12

Step-by-step explanation:

We can write the following ratio

1:3 (for every student who gets an A 3 gets a b)

We then can write a new ratio

4:x

We can solve this ratio by multiplying the original ratio by 4

4:12

This means that 12 people earned an B

5 0
3 years ago
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many k
Lunna [17]

Answer:Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x kilograms, so the total is x+2x=3x This must be equal to 360.Therefore, the salesman sold 120 kg in the morning and 240 kg in the afternoon.

Hope this helps :)

4 0
3 years ago
How to find the value of the combination? Show your work! Thansk!
elena-14-01-66 [18.8K]

Answer:

A

Step-by-step explanation:

Using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n! = n(n - 1)(n - 2).... × 3 × 2 × 1

Then evaluating numerator and denominator

10C_{3}

= \frac{10!}{3!(7!)}

= \frac{10(9)(8)(7)(6)(5)(4)(3)(2)(1)}{3(2)(1)(7(6)(5)(4)(3)(2)(1)}

Cancel 7(6)(5)(4)(3)(2)(1) on numerator/ denominator, leaving

= \frac{10(9)(8)}{3(2)} = \frac{720}{6} = 120

-------------------------------------------------------------------------------------

6C_{4}

= \frac{6!}{4!(2!)}

= \frac{6(5)(4)(3)(2)(1)}{4(3)(2)(1)(2)}

Cancel 4(3)(2)(1) on numerator/ denominator, leaving

\frac{6(5)}{2} = \frac{30}{2} = 15

-------------------------------------------------------------------------------------

Dividing numerator by denominator gives

\frac{120}{15} = 8 → A

4 0
3 years ago
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