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ValentinkaMS [17]
3 years ago
10

Explain how to work out these type of questions please!

Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0
In these types of problems, you have to get x alone, so you have to get rid of the x’s denominator that is 5. To do this, you will multiply both sides by 5. The 5 in the x/5 with cancel and leave only an x.

The next answer would be x=9 times 5 because of this. Then you will just do 9 times 5, which is 45. So the final answer is x=45.
bixtya [17]3 years ago
7 0

x = 9 \times 5 \\ x = 45
Hope this helps. - M
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You walk around a circle which has a diameter of 9 m, how far have you walked?
Snezhnost [94]

Answer:

C =28.26m

Step-by-step explanation:

We are walking around a circle, which means we are finding the perimeter.  The perimeter of a circle is called the circumference.

We find the circumference by

C = pi *d  where d is the diameter

C = 3.14 * 9

C =28.26m

6 0
3 years ago
Read 2 more answers
Mike runs for the president of the student government and is interested to know whether the proportion of the student body in fa
Alik [6]

Answer:

We conclude that the proportion of student body in favor of him is significantly less than or equal to 50%.

Step-by-step explanation:

We are given that Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent.

A random sample of 100 students was taken. Fifty-five of them favored Mike.

<em>Let p = </em><u><em>proportion of the students who are in favor of Mike.</em></u>

So, Null Hypothesis, H_0 : p \leq 50%      {means that the proportion of student body in favor of him is significantly less than or equal to 50%}

Alternate Hypothesis, H_A : p > 50%      {means that the proportion of student body in favor of him is significantly more than 50%}

The test statistics that would be used here <u>One-sample z proportion</u> <u>statistics</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students body in favor of Mike = \frac{55}{100} = 0.55

           n = sample of students taken = 100

So, <em><u>test statistics</u></em>  =   \frac{0.55-0.50}{\sqrt{\frac{0.55(1-0.55)}{100} } }

                               =  1.01

The value of z test statistics is 1.01.

<em>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</em>

<em>Since our test statistic is less than the critical value of z as 1.01 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><u><em>we fail to reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the proportion of student body in favor of him is significantly less than or equal to 50% or proportion of the students in favor of Mike is not significantly greater than 50 percent.

4 0
3 years ago
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times
malfutka [58]

The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,

6^4\times6

Suppose the equivalent expression of this equation is n. Thus,

n=6^4\times6

The 4 power of number 6 means that the number 6 should be multiplied 4 times.

n=(6\times6\times6\times6)\times6

Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

Learn more about the equivalent expression here;

brainly.com/question/2972832

5 0
2 years ago
Find the exact value of cot 7pi/4 &amp; sec13pi/6 including quadrant location
Gennadij [26K]
First we will convert those radian angles to degrees, since my mind works better with degrees.  Let's work one at a time.  First, \frac{7 \pi }{4} * \frac{180}{ \pi }=315.  If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis.  The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2.  The cotangent of this angle, then is 1/-1 which is -1.  As for the second one, converting radians to degrees gives us that \frac{13 \pi }{6} * \frac{180}{ \pi } =390.  Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis.  The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2.  Therefore, the secant  of that angle is 2/√3.
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3 years ago
In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat?? ​
Rainbow [258]
They can all sit beside the chairman
5 0
3 years ago
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