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2 years ago

Determine the x-intercept of the following equation. (-x-2)(x-3)=y

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

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The sum of 2 consecutive whole numbers is 206. What are the 2 numbers

Anni [7]

Answer:

102.5, 103.5

Step-by-step explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.

5 0

3 years ago

Read 2 more answers

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

3. A survey conducted among a group of 50 students showed that; (APPLYING)

Pani-rosa [81]

Answer:

Step-by-step explanation:

this is a set problem (mathematical set)

30 students played soccer

9 students played cricket and soccer

x students played neither cricket nor soccer

3x students played cricket only.

we can see that in the first set 21 appears and in the middle of the set 9 because it says 30 students played soccer adding x and 3x we have the following formula

30 + x + 3x = 50 where x is equal to 5 then ask us Determine the number of students who played cricket. then the value would be 3x + 9 = (3x5) + 9 = 24

5 0

3 years ago

I just this one please someone help

Step2247 [10]

Answer:

100

Step-by-step explanation:

because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100

6 0

3 years ago

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Mr berry has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end

vampirchik [111]

Answer:

500$=tension(x)-200$-25$week

6 0

3 years ago