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Genrish500 [490]
3 years ago
12

Find x [Angles and Segment]

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

  8.3 cm

Step-by-step explanation:

The product of lengths to the near and far point of intersection with the circle is the same in all cases:

  (7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)

Since we're only interested in x, we can divide by 4 and subtract 4:

  49 cm² = (4 cm)(4 cm +x)

  (49/4) cm = 4 cm +x . . . . . . divide by 4 cm

  8.25 cm = x . . . . . . . . . . . . . subtract 4 cm

To the nearest tenth, x = 8.3 cm.

_____

For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.

___

The angles depend on the size of the circle, which is not given.

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Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A consume
Ivan

Answer:

Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Mean mileage for the Carter Motor​ Company's new sedan

We can design the null hypothesis and alternate hypothesis as:

H_{0}: \mu \geq 32\text{ miles per gallon}\\H_A: \mu < 32\text{ miles per gallon}

Type I error:

  • It is the false positive error.
  • It is the error of rejection a true hypothesis.

Type II error:

  • It is the false negative error.
  • It is the non rejection of a false null hypothesis.

Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.

3 0
3 years ago
Choose the best statement that explains the graph represented by these ordered pairs.
Vlad [161]

Answer:

I wish you the best of luck you are strong and loved you are very smart happy holidays love you may god bless you

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A fruit company delivers its fruit in Two types of boxes large and small a delivery of 7 large boxes and 9 small boxes has a tot
Marina86 [1]

i don't have an answer sorry.

3 0
3 years ago
F(x)=1/2x+4 For R={5,6,7,8}
anzhelika [568]

Hey there!!

Remember : R = range and f ( x ) = y and y = range

R : { 5 , 6 , 7 , 8 }

( 1 ) 5 = 1 x / 2 + 4

... 5 - 4 = x / 2

... 1 = x / 2

... x = 2 = ( 2 , 5 )

( 2 ) 6 = x / 2 + 4

... 2 = x / 2

... x = 4 = ( 4 , 6 )

( 3 ) 7 = x / 2 + 4

... 3 = x / 2

... x = 6 = ( 6 , 7 )

( 4 ) 8 = x /2 + 4

... 4 = x/2

... x = 8 = ( 8 , 8 )

Hope my answer helps!

7 0
3 years ago
Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a
Degger [83]

Answer:

The total price of 4\frac{1}{2}  pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

1.60-10\%\ of\ 1.60.

=1.60-\frac{10}{100} \times 1.60

=1.60-0.16

=\$1.44.

So, the price of apples per pound this week is $1.44.

Now, to get the total price of 4\frac{1}{2} pounds of apples by using unitary method:

If 1 pound of apples cost = 1.44.

Then, \frac{9}{2} pound of apples cost = 1.44\times \frac{9}{2}

=1.44\times 4.5

=\$6.48.

Therefore, the total price of 4\frac{1}{2}  pounds of apples is $6.48.

4 0
3 years ago
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