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Juli2301 [7.4K]
2 years ago
5

(HELP ME ASAP PLEASE) In the following diagram, A || B.

Mathematics
1 answer:
vladimir1956 [14]2 years ago
7 0

Answer:

m<6=77°

Step-by-step explanation:

Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that

3x+5°+4x+7°=180°

7x+12°=180°

7x=168°

x=24°

Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:

<6=24*3+5

<6=77°

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morgan poured 9/10 liter of punch into each of 6 bottles how many liters of punch did she pour in all
drek231 [11]

Answer:

5 and 2/5 liters     or          5.4 liters

Step-by-step explanation:

9/10 times 6

9 times 6 is 54. 54 divided by 10 is 5.4 which is the same as 5 and 2/5

3 0
3 years ago
If you scale a figure by less than or less than 100% does the new copy increase or decrease in size? PLS HURRY IT'S LATE PLS I D
prisoha [69]

Answer:

Less

Step-by-step explanation:

100% is full size

6 0
3 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
3 years ago
The area of a rectangular coffee table is given by the trinomial x2 + 7x – 8. The table’s length is x + 8. What is the table’s w
motikmotik

Answer:

9x - 8

Step-by-step explanation:

3 0
3 years ago
Use the formula v=u+at <br>calculate v when:<br>u=10, a=3, t=2.5​
Ksenya-84 [330]

Answer:

<h2>17.5</h2>

Step-by-step explanation:

v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5

This is your answer :))

7 0
3 years ago
Read 2 more answers
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