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Lena [83]
2 years ago
9

What is the measure of x?

Mathematics
2 answers:
emmasim [6.3K]2 years ago
4 0
The measure of x is 24 degrees
One straight line is 180 degrees
We already have another line that forms an angle with the straight line and it gives u 156
So just subtract 156 from 180 to see what remains and that’s the answer
andriy [413]2 years ago
4 0

Answer:

x = 24 {}^{o}

Step-by-step explanation:

The angle x and BOC are supplementary, then

\widehat{BOC} + x = 180 {}^{o}  \\ then \:  \: 156 {}^{o}  + x = 180 {}^{o} \\ hence \:  \: x = 180 {}^{o} - 156 {}^{o} = 24^{o}

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A researcher at a large company has collected data on both the beginning salary and the current salary of 48 randomly selected e
Nadya [2.5K]

Answer:

a. 0.83

b. 44107.3

c. 2252.7

Step-by-step explanation:

a)

The correlation coefficient is calculated as

byx=rSy/Sx

rSy=byx*Sx

⇒r=byx*Sx/Sy

Sy=standard deviation of y=standard deviation of current salary=15300

Sx=standard deviation of x=standard deviation of beginning salary=5970

byx=2.12

r=2.12*5970/15300

r=12656.4/15300

r=0.83

There is a strong positive correlation between current and beginning salary.

b)

Beginning salary=$22000

As

y^ =−2532.7 + 2.12x.

Current salary=-2532.7+2.12*beginning salary

Current salary=-2532.7+2.12*22000

Current salary=-2532.7+46640

Current salary=$44107.3

The predicted current salary of Mr. Joseph Keller is $44107.3.

c)

Residual=y-y^=Observed-Predicted

Observed Current Salary of Kathy Jones=40000

Beginning salary of Kathy Jones=19000

y^ =−2532.7 + 2.12x.

Predicted Current salary=-2532.7+2.12*beginning salary

Predicted Current salary=-2532.7+2.12*19000

Predicted Current salary=-2532.7+40280

Predicted Current salary=$37747.3

Residual=Observed Current Salary-Predicted Current salary

Residual=40000-27747.3

Residual=$2252.7

The residual for Ms. Jones is $2252.7.

8 0
3 years ago
Amer is a clerk. His group medical insurance costs $3,292 a year, of which the
choli [55]
She pays 40% so 3292 times by 0.40 gives you 1,316.80 is what she pays.
5 0
3 years ago
Ed decided to build a storage box. At first, he was planning to build a cubical box with edges of length n inches. To increase t
Mandarinka [93]

Answer:

The new volume is 3n^2+2n inches greater.

Step-by-step explanation:

Volume of a cube = s^3 where s is side of cube

Original volume = n^3

Volume of a Rectangular Prism = LBH

New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n

DIfference = New- original = 3n^2+2n

4 0
3 years ago
According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct
abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0
3 years ago
HELP PLEASE!! 13 Points Offered
Sholpan [36]

Answer:

C: 124

Step-by-step explanation:

If you look at the angle it has to be over 90 degrees so therefore your only option is C: 124.

4 0
3 years ago
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