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m_a_m_a [10]
3 years ago
7

Use the equation r = d - 1 to find the value of r when d = 3.

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

r = d - 1 \\ d = 3 \\ r = (3) - 1 \\ r = 2

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The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 28, \sigma = 6

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 28}{6}

X - 28 = 6*1.645

X = 37.87

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0
3 years ago
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find
VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

  • mROP = 125°
  • ∠ROP is a central angle

Then:

  • measure of arc RP, mRP = mROP = 125°

Given that

  • ∠QOS and ∠ROP are vertical angles

Then:

  • mQOS = mROP = 125°
  • measure of arc QS, mQS = mROP = 125°

Given that

  • ∠QOR and ∠SOP are vertical angles

Then:

  • mQOR = mSOP

Given that

  • The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

  • measure of arc QR, mQR = mQOR = 55°
  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0
3 years ago
How many feet are there in 24 yards? <br><br> A. 288<br> B. 8<br> C. 2<br> D. 72
Mkey [24]
First of all we need to know that 1 yard has 3 feet inside of it 
but in order to find 24 yards we would have to multiply by 3 sooo
24 x 3 = 72
so that means there are 72 feet in 24 yards.
In other words the answer is D:)
hope this helps:P
MARK ME BRAINLIEST!


6 0
4 years ago
Read 2 more answers
What would be the length and width of a 50" TV that has an aspect ratio of 4:3?
Reika [66]

Check the picture below.

4 0
3 years ago
The radius of a circle is 9 yards. What is the circle's area?
max2010maxim [7]

Answer:

area of the circle is 254.47yd^2

6 0
3 years ago
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