What is the slope .

Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the tria

Alekssandra [29.7K]

Answer: No, it's not possible.

Explanation: An angle must only be opposite exactly one side.

5 0

3 years ago

Read 2 more answers

Please help me with this

3241004551 [841]

Answer:

Will

Step-by-step explanation:

Katie runs 8 feet per second

Stephanie runs 10.88 feet per second

Liz runs 12.9 feet per second

Will runs 13.45 feet per second

3 0

2 years ago

A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each

Keith_Richards [23]

20 because 19 16/33 is the exact answer. Since they ask about how much that can be rounded up to 20

4 0

3 years ago

A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it,

bogdanovich [222]

Answer:

3.17% probability of selecting first a green apple and then a nectarine.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

P(a green apple then a nectarine)

This is the probability of selecting first a green apple and then a nectarine.

Initially, there are 8+11+5+12 = 36 fruits, of which 8 are green apples. So 8/36 probability of choosing a green apple.

Now, there are 35 fruits, of which five are nectarines. So 5/35 probability of choosing a nectarine.

Then

$p = \frac{8}{36}\times\frac{5}{35} = 0.0317$

3.17% probability of selecting first a green apple and then a nectarine.

3 0

3 years ago

The following information was obtained from matched samples. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 Refer to

kykrilka [37]

Answer:

$p_v =2*P(t_{(8)}$

c. should not be rejected

Step-by-step explanation:

1) Data given and notation

The data given is:

Method 1 : 7,5,6,7,5

Method 2: 5,9,8,7,6

$\bar X_{1}=6$ represent the mean for the method 1

$\bar X_{2}=7$ represent the mean for the method 2

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

$s_{2}=1.58$ represent the sample standard deviation for the method 2

$n_{1}=5$ sample size selected for the Consultant A

$n_{2}=5$ sample size selected for the Consultant B

$\alpha=0.05$ 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 mean for the difference is equal to 0, the system of hypothesis would be:

Null hypothesis: $\mu_{1}- \mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

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:

$t=\frac{6-7}{\sqrt{\frac{1^2}{5}+\frac{1.58^2}{5}}}=-1.195$ (1)

P-value

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

$df=n_{1}+n_{2}-2=5+5-2=8$

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

$p_v =2*P(t_{(8)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis. So the best option would be:

c. should not be rejected

3 0

3 years ago