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4 years ago

How would I solve number six?

Mathematics

2 answers:

Basile [38]4 years ago

6 0

Answer:

Angle ABC is equal to 130.4°

Step-by-step explanation:

When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and ∠DBC, must be equivalent.

We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.

Here is our equation:

∠ABC=∠ABD+∠DBC

After substituting, we will get

∠ABC=65.2+65.2=130.4

130.4° is the measure of ∠ABC.

klasskru [66]4 years ago

4 0

140.4 ya ya ya ya what ever the person up said pls mark brainlist I really new to post a question and it won’t let me

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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a

dlinn [17]

Answer:

The mean volume is 12 ounces.

Step-by-step explanation:

In this case we need to test whether the mean volume the machine fills the beverage cans with is 12 ounces or not.

The hypothesis for this test can be defined as:

H₀: The mean volume is 12 ounces. i.e. μ = 12 ounces.

Hₐ: The mean volume is not 12 ounces. i.e. μ ≠ 12 ounces.

As the population standard deviation is not known, we will use a t-test for single mean.

The sample mean and sample standard deviation is:

$\bar x=\frac{1}{n}\sum X\\=\frac{1}{8}\times [11.98+12.08+11.87+11.95+11.89+12.01+11.97+12.10]\\=11.98$

$\text{s} = \sqrt{\dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}}\\=\sqrt{\dfrac{\sum_{i=1}^{n}(11.98 - 11.98)^{2}}{8 - 1}}+\sqrt{\dfrac{\sum_{i=1}^{n}(12.08- 11.98)^{2}}{8 - 1}}+...+\sqrt{\dfrac{\sum_{i=1}^{n}(12.10- 11.98)^{2}}{8 - 1}}\\=0.0815$ Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{11.98-12}{0.0815/\sqrt{8}}=-0.69$

The test statistic value is -0.69.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.

Compute the p-value of the test as follows:

$p-value=2P(t_{7}$

*Use a t-table.

The significance level of the test is, α = 0.05.

p-value = 0.512 > α = 0.05

The null hypothesis was failed to be rejected.

Hence, it can be concluded that the mean volume is 12 ounces.

5 0

4 years ago

Write in slope intercept form ; 5x +9 = 10 PLEASE I NEED HELP!

kupik [55]

Answer:

The Slope is undefined and the y-intercept there is no y- intercept

Since x= 1/5 is a vertical line there is no y-intercept and the slope is undefined.

6 0

3 years ago

Mary spent 3/4 of her money on a jacket. She spent 1/4 of the remainder on a shirt. The jacket cost $33 more than the shirt. How

Leviafan [203]

$49.50 the jacket costs this because her total amount was $66. to find total money I said 3/4x - 1/4x = $33 so 1/2x =$33 and x= $66. then multiply the total by 3/4 to get $49.50

6 0

3 years ago

Help!! Find the value of x.

Rainbow [258]

Answer:

x = -10

Step-by-step explanation:

x + 75 + x + 125 = 180

2x + 200 = 180

2x = -20

x = -10

(In this problem a negative number is okay because the end value will be a whole number still.)

8 0

3 years ago

Find the mean: 31, 1, 12, 2, 21, 22, 1, 0, 31, 13

Bond [772]

The mean is 13.4 because after I add the numbers in the set, the sum comes out to be 134. There are 10 numbers in the set, so you divide 134 by 10, which is 13.4 (134 ÷ 10 = 13.4). That is how you get the mean. It's "mean" to you because you 'gotta do a lot of work to get your final mean.

5 0

3 years ago