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UkoKoshka [18]
2 years ago
6

Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Whic

h statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.
Mathematics
1 answer:
Tpy6a [65]2 years ago
7 0

Answer:

  • See the picture, it explains the correct choice is C

Step-by-step explanation:

  • a) Line F′G′ is the original line. False
  • b) Line F′G′ passes through the origin. False
  • c) Lines FG and F′G′ are parallel to each other.  TRUE
  • d) Lines FG and F′G′ are perpendicular to each other. False

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A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would expect in a 12-ounce package?​
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90 pieces

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A veterinarian investigating possible causes of enteroliths in horses suspects that feeding alfalfa may be to blame. She wishes
Ghella [55]

Answer: b. (0.561, 0.794).

Step-by-step explanation:

We know that the confidence interval for population proportion (p) is given by:-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}= Sample proportion.

n = Sample size.

z*  = Critical z-value.

Let p = proportion of horses with enteroliths who are fed at least two flakes of alfalfa per day.

As per given ,  n = 62

\hat{p}=\dfrac{42}{62}=0.67742

z-value for 95% confidence = z*=1.96

A 95% confidence interval is given by:

0.67742\pm (1.96)\sqrt{\dfrac{0.67742(1-0.67742)}{62}}\\\\ =0.67742\pm 0.11636\\\\ =(0.67742-0.11636,0.67742+0.11636 )\\\\=(0.56106, 0.79378)\approx(0.561,0.794 )

Thus , the required 95% confidence interval is (0.561, 0.794).

Hence, the correct option is b. (0.561, 0.794)..

4 0
3 years ago
What is 56.000,000,000 in scienfic notaion?
dusya [7]

Answer:

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Step-by-step explanation:

56,000 = 56 x 10,000

Inserting decimal:

56 x 1,000 = 5.6 x 10,000

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( btw ^** means exponent )

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