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2 years ago

This box plot shows information about the marks scored in a test.

Mathematics

1 answer:

aliina [53]2 years ago

4 0

Since 120 students gained less than 70, and 70 is the upper quartile, 120 people are in the 75% of all the students so we need to find the total number of students.
we need to multiply 0.75 (75%) by something to get 120. which is 160 (the total number of all students).
and since 48 is the median score, find 50% of 160 which is 80!
hope this helps :)

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What is 0.06% as a decimal and a fraction

mezya [45]

Step 1: 0.06 = 6⁄100
Step 2: Simplify 6⁄100 = 3⁄50
hope this helps:)

6 0

3 years ago

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Draw and label an example of two parallel lines that are perpendicular to a third line.

ziro4ka [17]

Answer: Pretty sure it would look like this

Step-by-step explanation:

3 0

2 years ago

I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as

ASHA 777 [7]

Answer:

The fraction is = $\frac{21}{9}$

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as $2\frac{1}{3}$ .

The fraction form of the mixed number can be given as :

$2\frac{1}{3}=\frac{7}{3}$

Let the fraction be = $\frac{7x}{3x}$ [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

$7x+3x=30$

Solving for $x$ .

$10x=30$

Dividing both sides by 10.

$\frac{10x}{10}=\frac{30}{10}$

$x=3$

So, the fraction will be = $\frac{7\times 3}{3\times 3}$

⇒ $\frac{21}{9}$

3 0

2 years ago

Doss [256]

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

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.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that $\mu = 74, \sigma = 2.7$

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

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

$Z = \frac{85 - 74}{2.7}$

$Z = 4.07$

$Z = 4.07$ has a pvalue of 1

X = 70

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

$Z = \frac{70 - 74}{2.7}$

$Z = -1.48$

$Z = -1.48$ has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

7 0

2 years ago

Equations

sergij07 [2.7K]

Answer:

2x+12=24

first you subtract 12 from both sides

2x+12=24

-12. -12

The 12-12 should cancel itself, the rest of the equation you bring down to get

2x=12 (because 24-12=12)

Now you have 2x=12.
you then divide 2x by both sides.

2x=12

/2x=/2x

The 2x/2x cancels itself out so you then solve for 12/2x.

For this you just divide 12/2 which is 6!

x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!

hope this helps! :D

4 0

2 years ago

Read 2 more answers