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34kurt
3 years ago
11

Solve the following equation. 3x/7-2=15 (Must be a mixed number)

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

Mixed Number

39 \frac{2}{3}

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The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim
nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in <em>scientific notation</em>.

Let a number be  a*10^b and another be  c*10^d, when we divide, we will follow the rule shown below:

\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})

Now, we use the information given to find the ratio:

\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

0.1833*10^4=1833

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

7 0
3 years ago
Read 2 more answers
A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

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

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

7 0
3 years ago
What is the distance between 3, 5 and -4, 1
USPshnik [31]

Answer:

Distance = 8.06

Step-by-step explanation:

We have to use the distance formula d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}  }.

(x_{1},y_{1}) = coordinates of the first point

(x_{2},y_{2} ) = coordinates of the second point

To solve, plug the appropriate values into the formula.

d=\sqrt{(-4-3)^{2} +(1-5)^{2} } = \sqrt{65} = 8.062257748

5 0
3 years ago
Question 5
viva [34]
Marlee will have 21.05 inches of wire left, here is why;
115-25.75=89.25
89.25+30=119.25
119.25-38=81.25
81.25-60.2=21.05
She has 21.05 inches of wire left.
4 0
3 years ago
What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?
Mrrafil [7]

Answer:

y= -10x + 5

Step-by-step explanation:

i did some math

5 0
3 years ago
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