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2 years ago

Please help me with thissss

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

Answer:

a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)

b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)

Step-by-step explanation:

2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.

9 * 10^-4 = 9 * 1/10000 = 9/10000

To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.

So we do:

2.2/1000 * 10/10 = 22/10000

9/10000 + 22/10000 = 31/10000 = 0.0031.

The sum of the weights of the two in insects is 0.0031 grams.

To find how much heavier the fly is than the gnat we do:

22/10000 - 9/10000 = 13/10000 = 0.0013

The fly is 0.0013 grams heavier than the gnat.

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2 years ago

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mezya [45]

Answer:

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6 0

2 years ago

48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually

oksian1 [2.3K]

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

=> $t = -1.04$

The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

Form the z-table

$P(z > |-1.04|) = 0.15$

=> $p-value = 2 * 0.15$

=> $p-value = 0.3$

Given that $p-value > \alpha$ we fail to reject the null hypothesis

Hence we can conclude that there is no sufficient evidence to support the executive claim

5 0

3 years ago

I just need help ASAP!

arsen [322]

Answer:

$6,283in^3$

Step-by-step explanation:

The formula of the volume of a cylinder is the area of its base (which is the area of a circle) times its height.

$V = \pi r ^2 h$

$V = \pi \times 10^2 \times 20 \\V = 6,283 in^3$

7 0

3 years ago