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alex41 [277]
2 years ago
14

your family's resturant bill was $38.55. your parents are leaving a 20% tip. how much is the grand total of your resturant bill?

Mathematics
2 answers:
olganol [36]2 years ago
3 0

Step-by-step explanation:

20:100=x:$38.55

x=20×$38.55/100=7,71

crimeas [40]2 years ago
3 0

Answer:

$7.71

Step-by-step explanation:

38.55 X .2 = 7.71

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If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
user100 [1]

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH = \frac{1}{2}(GH + EF) = \frac{1}{2} (90 + 45)° = 0.5 × 135° = 67.5°

6 0
3 years ago
Find the midpoint of the following
zloy xaker [14]

Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.

6 0
2 years ago
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Find the measure of the arc or angle indicated.
Shkiper50 [21]

Answer:

15) ∠BCD = 1/2 short arc BC = (360° -260°)/2 = 50° (C)

16) ∠K is supplementary to short arc JL = 180° -120° = 60° (C)

17) ∠V is half the difference of long arc TW and short arc UW.

.. (198° - UW)/2 = 69°

.. 198° -138° = UW = 60° (C)

18) ∠L is supplementary to short arc KM

.. KM = 180° -66° = 114° (C)

Step-by-step explanation: hope it helped

7 0
2 years ago
Assume that foot lengths of women are normally distributed with a mean of 9.6 in and a standard deviation of 0.5 in.a. Find the
Makovka662 [10]

Answer:

a) 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b) 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c) 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 9.6, \sigma = 0.5.

a. Find the probability that a randomly selected woman has a foot length less than 10.0 in

This probability is the pvalue of Z when X = 10.

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 9.6}{0.5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

So there is a 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b. Find the probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 8.

When X = 10, Z has a pvalue of 0.7881.

For X = 8:

Z = \frac{X - \mu}{\sigma}

Z = \frac{8 - 9.6}{0.5}

Z = -3.2

Z = -3.2 has a pvalue of 0.0007.

So there is a 0.7881 - 0.0007 = 0.7874 = 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c. Find the probability that 25 women have foot lengths with a mean greater than 9.8 in.

Now we have n = 25, s = \frac{0.5}{\sqrt{25}} = 0.1.

This probability is 1 subtracted by the pvalue of Z when X = 9.8. So:

Z = \frac{X - \mu}{s}

Z = \frac{9.8 - 9.6}{0.1}

Z = 2

Z = 2 has a pvalue of 0.9772.

There is a 1-0.9772 = 0.0228 = 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

5 0
3 years ago
What is the answer to 2x^2+8x-64=0 ?
klio [65]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=4, -8

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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