What is 4 divided by 84? I don't understand how you get 21?

Which of the following scenarios best describes division of a polynomial using synthetic division? Select all that apply. The di

xz_007 [3.2K]

Answer:

Synthetic division is a process of polynomial division by a linear factor only.

Step-by-step explanation:

The correct statements are:

1. The division must occur between a polynomial and a linear term.

3. If there is a number in the last term of the quotient, then there is a remainder. After division if there is any number left out except zero in the last term of quotient, then it is the remainder.

4. The quotient is written as a polynomial with a degree one power greater than the original dividend.

7 0

2 years ago

Help 50 points and brainliest if you help

Elden [556K]

Answer:

its 49

Step-by-step explanation:

5 0

3 years ago

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Write this sentence as an equation.<br> Eight less than 1 third a number is -13

Andrews [41]

Answer:

1/3*x - 8= -13

Step-by-step explanation:

4 0

3 years ago

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weig

stealth61 [152]

Answer:

0.45

Step-by-step explanation:

For a uniform distribution,

$f(x) = \frac{1}{b - a} \\$

where a is the minimum and b the maximum\\

cumulatively, $F(x) = \frac{x - a}{b -a}$

$F(x >= 24.9) = \frac{24.9 - 24}{26 - 24} = \frac{0.9}{2} = 0.45$

6 0

3 years ago

A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A

Readme [11.4K]

Answer:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=6.5$ represent the sample mean for Atlanta

$\bar X_{2}=6.7$ represent the sample mean for Chicago

$s_{1}=0.5$ represent the sample deviation for Atlanta

$s_{2}=0.7$ represent the sample standard deviation for Chicago

$n_{1}=100$ sample size for the group Atlanta

$n_{2}=110$ sample size for the group Chicago

t would represent the statistic (variable of interest)

$\alpha=0.01$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis: $\mu_{1}=\mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398$

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

$df = n_1 +n_2 -2= 100+110-2= 208$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{208}$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0

3 years ago

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