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Elenna [48]
3 years ago
12

Brian has $45.25 saved and earns $7.25/week. Dakota has $25.25 saved and earns $9.75/week. In how many weeks will they have the

same amount?
Explanation pleaseeeeeeee
ASAPPPPPPPPPP!!!!!!!!!!!!!!
Mathematics
2 answers:
Mazyrski [523]3 years ago
8 0
8 weeks needed for them to be even
kogti [31]3 years ago
7 0
STEP ONE:
Set up the equation
45.25 + 7.25x = 25.25 + 9.75x
STEP TWO:
Subtract 7.25x from both sides
45.25 = 25.25 + 2.5x
STEP THREE:
Subtract 25.25 from both sides
20 = 2.5x
(Flip equation)
2.5x = 20
STEP FOUR:
Divide 2.5 from both sides
x = 8

Since x represents weeks, it will take 8 weeks for Brian and Dakota to have the same amount of money.

Hope this helped!
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5 0
3 years ago
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

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

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

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

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

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

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

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

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
Find the value of the variable in the parallelogram.
patriot [66]
I kind a get the answer for this one but I’m not sure if that’s the correct one but I think your answer will be -6
7 0
2 years ago
Find the mean for the data set. 7, 6, 7, 7, 7, 4, 4, 6, 5, 5, 7
saul85 [17]

Answer:

5.909

Step-by-step explanation:

8 0
3 years ago
The lowest elevation in Lammefjord, Denmark, is 23 feet below sea level. The elevation of the Sea of Galilee in Israel is about
tatyana61 [14]

Answer:

Sea\ of\ Galilee = -690ft

Step-by-step explanation:

Given

Lowest\ Elevation = 23ft below sea level

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Required

Determine the elevation of the Sea of Galilee

We have that the lowest elevation in Lammefjord is:

Lowest\ Elevation = -23ft

It is negative because, the elevation is below sea level.

Calculating the elevation of Sea of Galilee, we have:

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Sea\ of\ Galilee = 30 * -23ft

Sea\ of\ Galilee = -690ft

<em>Hence, the elevation of Sea of Galilee is -690ft or 690ft below sea level</em>

5 0
2 years ago
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