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evablogger [386]

3 years ago

10

Find the value of x.

1 answer:

Mekhanik [1.2K]3 years ago

4 0

The value of x is 26

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Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two

Ugo [173]

Answer:

Andre's height: y < x < 164

Step-by-step explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.

3 0

3 years ago

Please need help on this

ser-zykov [4K]

Answer: In my answer I got 9 because the formula to find the area it would be A=1/2b*h

Step-by-step explanation: How would you do this?

Well we know that the base equals 6 we have heighth so we would have to do 1.5*6 and that would give us 9 but if we round it would be 10 because 9 is closer to 10 than it is to 0.

thanks :)

4 0

3 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

4 out of 12 family rides are for young riders under the age of 5. What fraction has the same value as 4/12?

Luda [366]

I think the answer is 1/3 because you can simplify 4/12 into 2/6 and that can also be simplify into 1/3. Sorry if I am wrong let me know if i'm right

4 0

3 years ago

Read 2 more answers

Can someone help me? And possibley tell me how to solve this as well? I'm totally clueless haha

Bumek [7]

Answer:

? = 3

Step-by-step explanation:

To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.

Given formula:

$\sf y=\boxed{?} \:x$

Substitute x = 1 and y = 3 into the formula:

$\sf 3=\boxed{?} \:1$

To isolate ? divide both sides by 1:

$\implies \sf \dfrac{3}{1}=\dfrac{\boxed{?} \:1}{1}$

$\implies \sf 3=\boxed{?}$

Therefore, ? = 3:

$\implies \sf y=3x$

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:

$\sf x=-2 \implies y=3(-2)=-6 \quad \boxed{\sf correct}$

$\sf x=3 \implies y=3(3)=9 \quad \boxed{\sf correct}$

5 0

2 years ago

Read 2 more answers