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aleksandr82 [10.1K]
3 years ago
5

Can someone please tell me if this angle is supplementary or complementary

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.

2x + 4x + 24 = 180 and

6x + 24 = 180 and

6x = 156 so

x = 26

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The equatorial radius of the planet Jupiter is measured 40 times by a process that is practically free of bias. These measuremen
Nina [5.8K]

Answer:

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

Step-by-step explanation:

Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.81*\frac{28}{\sqrt{40}} = 8

The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.

The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

8 0
3 years ago
I need the explanation and the answer of 14/40 in simplest form
Korvikt [17]

Answer:

\frac{7}{20}

Step-by-step explanation:

To simplify a fraction, you need to find the GCF (Greatest Common Factor) of the numerator (top number) and denominator (bottom number).

Factors of 14:

1, 2, 7, 14

Factors of 40:

1, 2, 4, 5, 8, 10, 20, 40

As you can see, 2 is the GCF of 14 and 40. So, we now divide both numbers by 2.

14 ÷ 2 = 7

40 ÷ 2 = 20

Therefore, \frac{14}{40} in simplest form is \frac{7}{20}

6 0
3 years ago
Rotate triangle ABC 90° clockwise around the origin given the vertices A(1,3)B(-1,4)C(2,5) what are the new vertices for triangl
fgiga [73]

Answer:

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

Step-by-step explanation:

Given

A = (1,3)

B = (-1,4)

C = (2,5)

Rotation: 90 degrees clockwise

Required

Determine A'B'C'

When a point P (x,y) is rotated 90 degrees in the clockwise direction, the new coordinates is: P' (y, -x).

So, we have:

A = (1,3)

B = (-1,4)

C = (2,5)

Becomes

A' = (3,-1)

B' = (4,1)

C' = (5,-2)

3 0
3 years ago
What number represents the same amount as 2 hundreds 14 tens 3 ones
Nastasia [14]
I think the answer would be 343?
4 0
3 years ago
Read 2 more answers
Stephen spent $12.35 at a food truck. He bought 3 burgers for $1.25 each and 4 corndogs.
wlad13 [49]

Answer:

The 3rd one 2.15

Step-by-step explanation:

12.35 in whole

1.25 x 3 = 3.75

12.35-3.75= 8.60

\sqrt[4]{8.60} = 2.15

pls give brainlist <33

8 0
3 years ago
Read 2 more answers
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