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3 years ago

4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

Step-by-step explanation:

SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.

$(5x^{2} + 25x^{2})$ - (8x - 16x) + (9 + 9) = $30x^{2}$ - 24x + 18

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Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l

horsena [70]

Answer:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P value

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

Step-by-step explanation:

Data given and notation

$\bar X=4.8$ represent the sample mean

$\sigma=0.5$ represent the population standard deviation

$n$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:

Null hypothesis: $\mu \geq 5$

Alternative hypothesis: $\mu < 5$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P-value

Since is a left tailed test the p value would be:

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

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4 years ago

A number m is formed by writing all the prime numbers between 0 and 10 in ascending order. another number n is formed by writing

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Answer:

(a) 1416

(b) 2 × 2 × 2 × 3 × 59

Step-by-step explanation:

The prime numbers between 0 and 10 are 2, 3, 5,7 (1 is not considered prime)
Therefore m = 2357

The square numbers between 0 and 10 are 1, 4, 9 and in descending order 9,4.1so n = 941

m - n = 2357 - 941 = 1416

Unique prime factors of 1416 are 2,3,59

1416 as a product of prime factors = 2 × 2 × 2 × 3 × 59

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2 years ago

Is it linear and what’s the constant rate change? Please!

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u have to multiply if im sure, if this helps

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3 years ago

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce s

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Answer:

Step-by-step explanation:

This is a hypothesis testing of single mean with population mean.

$H_0: x bar =423\\H_a: x bar >423$

(One tailed test)

Sample mean = 460.4 and n = 36 and s = 101.9 oz

Alpha = 0.05

Mean diff = 37.4 and std error = 101.9/sqrt 36 = 16.98

Test statistic t = mean diff/se = 2.20

p = 0.01725

Since p <0.05 reject H0.

There is evidence to show that the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters

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3 years ago

.Three subtracted from 4 times a number is 17. Find the number

alexgriva [62]

Let the number equal x:

4 times x = 4x then 3 subtracted from that is 4x-3

4x-3 = 17

Add 3 to both sides:

4x = 20

Divide both sides by 4:

x = 5

Answer: X = 5

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3 years ago