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Nataliya [291]
3 years ago
11

Chloe collected 4 times as many bags of cans as her friend. if her friend collected 1/6 of a bag how much did Chloe collect

Mathematics
1 answer:
Serggg [28]3 years ago
6 0
4/6 - you multiply 1/6 by 4 as Chloe collected 4 times as many. 
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Ben earns $13 per hour at Starbucks. When he works overtime, he earns time and a half. What is his regular pay for 40 hours of w
zaharov [31]

Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

<u>He gets for 40 hours of regular work:</u>

  • $13*40 = $520

Answer is $520

7 0
3 years ago
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C=prn is formula for calculating total ?
boyakko [2]

Answer:

for calculating commissions


Step-by-step explanation:


6 0
3 years ago
E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help
larisa86 [58]

Answer:

<h2>m\angleF = 34°</h2>

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m\angleF add m\angleE and m\angle F and equate it to 90 to find x then substitute it into the expression for m\angleF

Thats

m\angleE + m\angleF = 90

\rarr 9x - 38 + 2x + 40 = 90

\rarr 11x + 2 = 90

\rarr 11x = 90 - 2

\rarr 11x = 88

Divide both sides by 11

x = 8

Now we have

if m \angleF = 9x - 38

m\angle F = 9( 8) - 38

m\angleF = 72 - 38

We have the final answer as

<h3>m\angleF = 34°</h3>

Hope this helps you

4 0
3 years ago
Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric
yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998

Tammy makes 51% of her putts, and attempts 30 putts.

By the Central Limit Theorem, we have that:

\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913

What is the probability that Ricardo makes a higher proportion of putts than Tammy?

This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:

\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04

s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353

This probability is 1 subtracted by the pvalue of Z when X = 0. So

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

By the Central Limit Theorem

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

Z = \frac{0 - (-0.04)}{0.1353}

Z = 0.3

Z = 0.3 has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

6 0
3 years ago
Read 2 more answers
Given a mean earth radius of 20,906,000 ft, and an observation latitude of n 42 degrees, what is the arc distance of one second
murzikaleks [220]

Answer:

  • arc second of longitude: 75.322 ft
  • arc second of latitude: 101.355 ft

Explanation:

The circumference of the earth at the given radius is ...

  2π(20,906,000 ft) ≈ 131,356,272 ft

If that circumference represents 360°, as it does for latitude, then we can find the length of an arc-second by dividing by the number of arc-seconds in 360°. That number is ...

  (360°/circle)×(60 min/°)×(60 sec/min) = 1,296,000 sec/circle

Then one arc-second is

  (131,356,272 ft/circle)/(1,296,000 sec/circle) = 101.355 ft/arc-second

__

Each degree of latitude has the same spacing as every other degree of latitude everywhere. So, this distance is the length of one arc-second of latitude: 101.355 ft.

_____

<em>Comment on these distance measures</em>

We consider the Earth to have a spherical shape for this problem. It is worth noting that the measure of one degree of latitude is almost exactly 1 nautical mile--an easy relationship to remember.

3 0
3 years ago
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