The measure of ∠A is 12° greater than the measure of ∠B. The two angles are complementary. Find the measure of each angle.

Olivia picked 256 strawberries from the orchards fields. she divided the strawberries evenly into 6 baskets. how many strawberri

Fofino [41]

Answer:

42 strawberries are in each basket. 4 strawberries are left over.

Step-by-step explanation:

To find out how many she put into each basket, you need to divide 256/6. Your answer should 42.6666667. Round down to 42.

To find out how many are left over, multiply 42 x 6. You need to do this to figure out how many strawberries total she used trying to put them evenly into the baskets. Your answer should be 252. Then, you subtract 256 - 252. You do this to find out how many are left over. Your answer is 4.

5 0

2 years ago

Write numbers to make each line have the same sum

wlad13 [49]

Answer:

There is nothing here?

Step-by-step explanation:

7 0

2 years ago

To compare two programs for training industrial workers to perform a skilled job, 20 workers are included in an experiment. Of t

nikklg [1K]

Answer:

$t=\frac{19.1-23.3}{\sqrt{\frac{4.818^2}{10}+\frac{5.559^2}{10}}}}=-1.805$

$p_v =P(t_{(18)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude the the true mean for method 1 is lower than the mean for the method 2 at 5% of significance

Step-by-step explanation:

Data given and notation

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

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

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

$\bar X_{1}=19.1$ represent the mean for the sample mean for 1

$\bar X_{2}=23.3$ represent the mean for the sample mean for 2

$s_{1}=4.818$ represent the sample standard deviation for the sample 1

$s_{2}=5.559$ represent the sample standard deviation for the sample 2

$n_{1}=10$ sample size selected 1

$n_{2}=10$ sample size selected 2

$\alpha$ 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.

We need to conduct a hypothesis in order to check if the average time taken when training under method 1 is less than the average time for Method 2, the system of hypothesis would be:

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

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

If we analyze the size for the samples both are less than 30 so 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 statistic

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

$t=\frac{19.1-23.3}{\sqrt{\frac{4.818^2}{10}+\frac{5.559^2}{10}}}}=-1.805$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n_{1}+n_{2}-2=10+10-2=18$

Since is a one sided test the p value would be:

$p_v =P(t_{(18)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude the the true mean for method 1 is lower than the mean for the method 2 at 5% of significance

4 0

2 years ago

Please help me, I have no idea what the equation for the new path is. Thank you!!

Citrus2011 [14]

First, find the slope of the initial line;

m=(y₁-y₂)/(x₁-x₂)

m=(4-0)/(11-8)
m=4/3

If two lines are parallel, the slope is the same although the intercept can differ.

If this parallel lines passes through the point (4, 5);

y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c
(15/3)=16/3+c
(15/3)-(16/3)=c
-1/3=c

Therefore, the final equation should be y=4/3x-1/3

Hope I Helped :)

8 0

3 years ago

4x+3y=32 4x+y=16 work out x and y pleaseeeeeee

Marrrta [24]

Answer:

The answer is xy=16-4 and xy=12

3 0

2 years ago