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3 years ago

#1) Is 96+9x equivalent to 9(6+x)

1 answer:

6 0

9(6+x)

by the distributive property,
distributing the 9 to each term in the brackets,
we get,

9*6 + 9*x

So yes, #1 is true.
---------------------------------------------------------------
(x+8)9

again by the distributive property,
giving the 9 to each term in the brackets,

x*9 + 8*9

which is NOT the same as

x + (8*9)

so #2 is false.

Hope that helps.

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The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49

Morgarella [4.7K]

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei

Frequency Frequency

Oi ei

1 87 83.3 3.7 13.69 0.157

2 59 64.6 -5.6 31.36 0.531

3 20 34 -14 196 9.8

4 4 6.8 -2.8 7.84 1.96

∑ 170 188.7 χ²= 12.43

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

6 0

4 years ago

What property was used on 14k + 2 (3k+5) -5 = 10 to obtain 14k + 6k +10 - 5 =10

Elis [28]

$\boxed{\text{The distributive property}}\\\\\text{In order to solve the equation, you would have to first use the }\\\text{distributive property:}\\\\14k + 2 (3k+5) -5 = 10\\\\\text{Distribute the 2 to the variables inside the parenthesis}\\\\14k+6k+10-5=10\\\\\text{You can see that your outcome matches the equation in the question}\\\\\text{Therefore, the distributive property would be your answer}$

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3 years ago

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Digiron [165]

Answer:

0.02, 0.2, 2, 20, 200, 2, 2000

Step-by-step explanation:

Because we are just moving the 0 over so basically the furth the 2 is to the right it is less and less but the further left the 2 is it is a greater number

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4 years ago

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Step-by-step explanation:

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3 years ago

Abbie recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil −48.1 °C Coconut oil 24.8 °C Which stat

alekssr [168]

Answer:

The correct answer is option (C).

Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 > -48.1

Step-by-step explanation:

We have been given the freezing temperatures of cottonseed oil and coconut oil. The freezing temperature of cottonseed oil is -48.1 degree celsius and the same for coconut oil is 24.8 degree celsius.

We are supposed to compare the two freezing temperatures. We know that 24.8 is higher than -48.1, therefore, we can conclude that freezing temperature of coconut oil is higher than the freezing temperature of cottonseed oil because 24.8 is more than -48.1. Thus, correct answer is option (C).

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4 years ago

#1) Is 9*6+9*x equivalent to 9(6+x)

#1) Is 96+9x equivalent to 9(6+x)