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dlinn [17]
3 years ago
11

The measure of an angle is 63.9 what is the measure of its supplementary angle?

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

116°10"

Step-by-step explanation:

180°-63.9°=179°60"-63°50"=116°10"

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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
2 years ago
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children
ra1l [238]

Answer:

45 is the father's age

Step-by-step explanation:

7 0
2 years ago
Find the midpoint of the line segment with the given endpoints: (-1, -6) and (-6, 5).
Vikentia [17]

Answer:

Step-by-step explanation:

First, we will find the midpoint for the x - coordinate first.

Midpoint (x) = \frac{-1+(-6)}{2} \\=\frac{-1-6}{2} \\=\frac{-7}{2} \\=-3.5

Now we will find the midpoint for the y - coordinate.

Midpoint (y) = \frac{-6+5}{2} \\=\frac{-1}{2} \\=-0.5

Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)

8 0
1 year ago
56 = −8d + 8 there's not multiple answers
ollegr [7]

Answer:

d= -6

Step-by-step explanation:

56 = -8d + 8

1) You want to get d by itself. Subtract 8 from both sides.

56 = -8d + 8

- 8           - 8

<em>(8 - 8 = 0, and 56 - 8 is 48.)</em>

48 = -8d

2) Then, you divide my -8 on both sides.

(<em>48 / -8 is -6, and -8d / -8 is just d.)</em>

-6 = d

So, d = -6

3 0
3 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
Alja [10]

The value that could replace variable x in the table is (15 - m)8

<h3 /><h3>How to the value of x in an expression ?</h3>

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

learn more on variable here: brainly.com/question/12798965

#SPJ1

5 0
2 years ago
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