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2 years ago

My last question, please help?

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

We can use the Angle Bisector of a triangle and proportions to solve this problem. Put the smaller triangle over the larger triangle.

AB x+4

------ = ----------

AC 2x+1

8 x+4

------ = ----------

12 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x-12x +8 = 12x-12x+48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

Divide by 4

4x/4 =40/4

x = 10

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3 years ago

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A frozen pizza is stored in a grocery store's freezer at - 6°C. During its transport home, its temperature rises 13°C. When the

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3 years ago

Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a

Brums [2.3K]

Answer:

The minimum sample size is $n =135$

Step-by-step explanation:

From the question we are told that

The confidence interval is $( lower \ limit = \ 0.44,\ \ \ upper \ limit = \ 0.51)$

The margin of error is $E = 0.1$

Generally the sample proportion can be mathematically evaluated as

$\r p = \frac{ upper \ limit + lower \ limit }{2}$

$\r p = \frac{ 0.51 + 0.44}{2}$

$\r p = 0.475$

Given that the confidence level is 98% then the level of significance can be mathematically evaluated as

$\alpha = 100 - 98$

$\alpha = 2\%$

$\alpha =0.02$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{\alpha }{2} } = 2.33$

Generally the minimum sample size is evaluated as

$n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )$

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3 years ago

1615/170 simplify show work

Sloan [31]

1615/170

We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.

1615 can go into 170 how many times?

9 times

170*9 = 1530

Now subtract.

1615 - 1530 = 85

Now we have our mixed fraction: 9 85/170

Now we must simplify the fraction.

85/5 = 17
170/5 = 34

17/34 is the smallest possible fraction we can get.

9 17/34

Final answer: $9 \frac{17}{34}$

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3 years ago

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