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3 years ago

Please help me I don't understand!!!

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

2.There is this theorem stating that the length of the altitude drawn to the hypotenuse of a right triangle is the geometric mean between the segments that the hypotenuse is divided into. In numerical form it would look like this:

6/altitude = altitude/x-6

We can solve the length of the altitude by using Pythagorean Theorem. The altitude creates two triangles within the large triangle. We will be using 6 and 10 to find the altitude. Fortunately, instead of squaring the sides we can simply use the common triple: 3,4,5 to deduce that the length of the altitude is 8.

Now that we have the value for the altitude we can substitute it into the equation above.

6/8=8/x-6
Cross multiply
64 = 6x - 36
Add 36 to both sides
100 = 6x
50=3x
50/3=x

13. There is another theorem that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle. In numerical form it would look like this:
20/x = 12/6
cross multiply
12x = 120
x=10

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The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

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We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).

We will now use the formula

$n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})$

We will now substitute all the data that we have and we will get

$n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)$

$n=(32.9)^2\times0.25$

$n=270.6025$

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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3 years ago

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range=

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A is false but R is true (the mean of the last 3 values is not 8 since x=7)

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2 years ago

Which of the following Chi-Square tests can be used to determine if a data set follows a Normal distribution?

shepuryov [24]

Answer:

Answer = d. Chi-Square Goodness of Fit

Step-by-step explanation:

A decision maker may need to understand whether an actual sample distribution matches with a known theoretical probability distribution such as Normal distribution and so on. The Goodness-of-fit Test is a type of Chi-Square test that can be used to determine if a data set follows a Normal distribution and how well it fits the distribution. The Chi-Square test for Goodness-of-fit enables us to determine the extent to which theoretical probability distributions coincide with empirical sample distribution. To apply the test, a particular theoretical distribution is first hypothesized for a given population and then the test is carried out to determine whether or not the sample data could have come from the population of interest with hypothesized theoretical distribution. The observed frequencies or values come from the sample and the expected frequencies or values come from the theoretical hypothesized probability distribution. The Goodness-of-fit now focuses on the differences between the observed values and the expected values. Large differences between the two distributions throw doubt on the assumption that the hypothesized theoretical distribution is correct and small differences between the two distributions may be assumed to be resulting from sampling error.

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3 years ago

Based on the pattern of the drawings, which conjecture

anzhelika [568]

Answer:

The most reasonable answer would likely be the first.

"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

|x2+x-20 22-11x+28 e: x2-x-30 3x-18

elena-s [515]

Answer:

x2 - 10x - 1994

Step-by-step explanation:

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-10x-1994

The first term is, x2 its coefficient is 1 .

The middle term is, -10x its coefficient is -10 .

The last term, "the constant", is -1994

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1994 = -1994

Step-2 : Find two factors of -1994 whose sum equals the coefficient of the middle term, which is -10 .

-1994 + 1 = -1993

-997 + 2 = -995

-2 + 997 = 995

-1 + 1994 = 1993

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

x2 - 10x - 1994

Processing ends successfully

plz mark me as brainliest :)

6 0

3 years ago