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3 years ago

Please help guys!!!!!!

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Answer:I think its 68

Step-by-step explanation:

Sergio [31]3 years ago

3 0

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

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What expression is equivalent to (3x^2-7)

Natali5045456 [20]

Answer:

C.(10x^2-4) - (7x^2+3)

In option C,

(10x^2-4) - (7x^2+3) = 10x^2 - 4 - 7x^2 - 3 = 3x^2 - 7

⇒ Option C is correct

6 0

3 years ago

PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

DiKsa [7]

Answer:

$V_1 : V_2= 2197 : 729$

Step-by-step explanation:

Let the volumes of both the spheres be $V_1, \:V_2$ and their radii be $r_1, \:r_2$ respectively.

$\huge r_1 : r_2= 13 : 9$ (given)

$\implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)$

$\huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}$

$\huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}$

$\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)$

From equations (1) & (2), we have:

$\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3$

$\huge \frac{V_1}{V_2}=\frac{2197}{729}$

$\huge \therefore V_1 : V_2= 2197 : 729$

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

7 0

3 years ago

Read 2 more answers

Suppose the heights of women at a college are approximately Normally distributed with a mean of 66 inches and a population stand

Kaylis [27]

Answer:

$z=-1.28$

And if we solve for a we got

$a=66 -1.28*1.5=64.08$

So the value of height that separates the bottom 10% of data from the top 90% is 64.08.

The graph attached illustrate the situation.

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 heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(66,1.5)$

Where $\mu=66$ and $\sigma=1.5$

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

$P(X>a)=0.90$ (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 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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

$P(X$