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evablogger
1 month ago
5

Gabriella swims 2 laps per minute. What is the unit rate?

Mathematics
2 answers:
tester [12.3K]1 month ago
6 0
The solution to your question is 2
Svet_ta [12.7K]1 month ago
6 0

Response:

2

Detailed explanation:

The unit rates represent the figures involved in the mathematical equation while the rate units are the specifics of the problem.

Example:

2 laps per minute

The unit for rate consists of laps per minute, while the unit rate is 2.

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Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation
Zina [12379]

Answer:

There is a probability of 24.51% that the weight of a bag exceeds the maximum permitted weight of 50 pounds.

Step-by-step explanation:

Problems dealing with normally distributed samples can be addressed using the z-score formula.

For a set with the mean \mu and a standard deviation \sigma, the z-score for a measure X is calculated by

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

Once the Z-score is determined, we consult the z-score table to find the related p-value for this score. The p-value signifies the likelihood that the measured value is less than X. Since all probabilities total 1, calculating 1 minus the p-value gives us the probability that the measure exceeds X.

For this case

Imagine the weights of passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, thus \mu = 47.88, \sigma = 3.09

What probability exists that a bag’s weight will surpass the maximum allowable of 50 pounds?

That translates to P(X > 50)

Thus

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

Z = \frac{50 - 47.88}{3.09}

Z = 0.69

Z = 0.69 has a p-value of 0.7549.

<pthis indicates="" that="" src="https://tex.z-dn.net/?f=P%28X%20%5Cleq%2050%29%20%3D%200.7549" id="TexFormula10" title="P(X \leq 50) = 0.7549" alt="P(X \leq 50) = 0.7549" align="absmiddle" class="latex-formula">.

Additionally, we have that

P(X \leq 50) + P(X > 50) = 1

P(X > 50) = 1 - 0.7549 = 0.2451

There is a probability of 24.51% that the weight of a bag will exceed the maximum allowable weight of 50 pounds.

</pthis>
6 0
2 months ago
Billy graphed the system of linear equations to find an approximate solution. y = A system of equations. y equals negative Start
babunello [11817]

Response:

Second option: (2.2, -1.4)

Third option: (2.2, -1.35)

Detailed explanation:

The missing graph has been provided.

The attached image illustrates the graphing of the following system of linear equations:

\left \{ {{y=-\frac{7}{4}x+\frac{5}{2}} \atop {y=\frac{3}{4}x-3}} \right.

Notice the intersection of the lines.

According to the definition, if lines in a system of equations intersect, then there is only one solution. This implies that the intersection point is the solution to that system. This can be expressed as:

(x,y)

Represented by "x" for the x-coordinate and "y" for the y-coordinate.

Here, it's noticeable that:

- The x-coordinate of the intersection point lies between  x=2 and x=3.

- The y-coordinate of the intersection point is situated between  y=-1 and y=-2.

Therefore, you can conclude that the forthcoming points (Refer to the options given in the exercise) are potential approximations for this system:

(2.2, -1.4)\\\\\\(2.2, -1.35)

7 0
2 months ago
Read 2 more answers
in a ceremony out of 800 participants 620 drink milk 350 drank tea and 50 did not drink both. find out how many people drank the
Leona [12618]
220: goodnight, mark me brainliest Explanation: Let M symbolize the count of people who drank milk, while T denotes those who consumed tea. Let x indicate the number who had both milk and tea. Consequently, the count of individuals who drank only milk is represented by n(M ∩ T') = 620 - x, and those who drank only tea is n(M' ∩ T) = 350 - x. Since 800 individuals took part, we have: 620 - x + (350 - x) + x + 50 = 800, simplifying to 1020 - x = 800. Therefore, x = 220. Thus, 220 individuals consumed both beverages.
6 0
2 months ago
Uniforms are sold in packages of 8. The stores 127 employees will each be given 3 uniforms. How many packages will the store nee
Svet_ta [12734]
First, you would divide 127 by 8 and then multiply the result by three uniforms for each employee.
8 0
2 months ago
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical pack
Leona [12618]

Answer:

he is able to create 4 packages hope this helps

8 0
1 month ago
Read 2 more answers
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