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Inessa [10]
3 years ago
7

Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
Shaded circles = 4
Total circles = 12

\frac{shaded~circles}{total~circles} = \frac{4}{12}

\frac{4}{12} as a simplified expression = \frac{2}{6}
We can simplify it even more = \frac{1}{3}

Fraction = \frac{1}{3}

Equivalent decimal = 1 ÷ 3 = 0.33
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shutvik [7]
Our inequality is 3(x-1) - 4x ≥-3. We can solve this like we solve for x in a regular equation. If I multiply 3(x-1), our new inequality is 3x -3 - 4x ≥ -3. If we add 3 to both sides and subtract 4x from 3x we have -x ≥ 0. But we want the value of x to be positive,  not negative. So we multiply both sides by -1 and change the sign from greater than to less than. We get x<span> ≤ </span>0. 
3 0
3 years ago
What is the common ratio of 2, 10/3, 50/9
mojhsa [17]

The common ratio of 2, 10/3, 50/9 is \frac{10}{6}

<u>Solution:</u>

Given, series of elements are 2, \frac{10}{3}, \frac{50}{9}

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take \frac{10}{3} and 2

\text { Then, common ratio }=\frac{\frac{10}{3}}{2}

\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}

Hence, the common ratio of the given series is \frac{10}{6}

6 0
3 years ago
Help also please explain thank you
Ne4ueva [31]
10 yards. The amount of yards is 1 third the amount of feet so you just divide 30 by 3 to get the amount of yards
5 0
3 years ago
How do i solve this question 58−(14)2
Naily [24]

Answer:

PEMDAS RULE

Step-by-step explanation:

STEP one is multiplication 58-14x2=58-28

STEP two is subtraction 58-28=30

Parenthesis

Exponent

Multiplication

Division

Addition

Subtract

3 0
3 years ago
Read 2 more answers
The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
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