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3 years ago

Translate the equation using a variable. "Nineteen less than one-half of a number is -13."

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer:

1/2x - 19 = -13

Step-by-step explanation:

1/2x - 9 = -13

Hope this helps!!!

Illusion [34]3 years ago

3 0

Answer:

1/2a-19=-13

Step-by-step explanation:

One half of a number represents the phrase "1/2a" (in this case the variable/number is 'a'". Then because it says "nineteen less than", that means you subtract 19 from one half of the variable.

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Factor the following polynomial completely 6x^5-30x^4-84x^3

Andrei [34K]

Answer:

6x^3(x+2)(x-7)

Step-by-step explanation:

1st step: factor out common term, 6x^3(x^2 - 5x - 14)

2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)

3rd step: simplify, 6x^3(x+2)(x-7)

I am joyus to assist :)

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3 years ago

This is hard so help meh my teacher just randomly posted this

My name is Ann [436]

Answer:

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2 years ago

456+213 using the break apart strategy

GalinKa [24]

Fist break up each number in the hundreds column add the tens and the ones then add the hundreds to the previous answer

4 0

3 years ago

Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i

kolezko [41]

Answer:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

Step-by-step explanation:

Data given and notation

Data: 801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=811$ represent the sample mean

$s=19.647$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =750$ represent the value that we want to test

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

t 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

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

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

What do you conclude?

Compute the p-value

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

$p_v =2*P(t_{4}>6.943)=0.00226$

4 0

3 years ago

The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There

11Alexandr11 [23.1K]

Answer:

-40 °F = -40 °C

Step-by-step explanation:

(1) F = 1.8 C + 32

If the Fahrenheit and Celsius temperatures are the same, then

(2) F = C Substitute (2) into (1)

C = 1.8C + 32 Subtract 1.8 C from each side

C – 1.8 C = 32 Combine like terms

-0.8C = 32 Divide each side by -0.8

C = -32/0.8

(3) C = -40 Substitute (3) into (1)

F = 1.8(-40) + 32

F = -72 + 32

F = -40

So, -40 °F = -40 °C

The thermometer below shows that -40 °F = -40 °C.

7 0

3 years ago