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Juliette [100K]

3 years ago

11

There are 20 students on the School Leadership Council. They need to form a committee of 4 in order to plan the upcoming school

dance. How many different groups of 4 can be created from the council?
A)4845
B)116,280
C)24
D)20!

1 answer:

yarga [219]3 years ago

6 0

Answer:

um I did the math and I got 5, so i dont really understand

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Please help me out :)

Gnesinka [82]

Answer:

y= -l×+4l-1

Step-by-step explanation:

To find x-intercept/zero, substitute y=0

0= -l×+4l-1

Sole the equation for x

x∈∅

Since there is no solution for y=0, there is no x-intercept/zero

No x-intercept/Zero

5 0

3 years ago

Read 2 more answers

Need help with number 8

Evgen [1.6K]

The slope-point formula of a line:

$y-y_1=m(x-x_1)$

We have:

$m=2,\ (-8,\ 1)\to x_1=-8,\ y_1=1$

Substitute:

$y-1=2(x-(-8))\\\\\boxed{y-1=2(x+8)}$

8 0

3 years ago

Could someone help i’ll mark brainliest! please explain too

-BARSIC- [3]

Answer:

C. 8

Step-by-step explanation:

I almost thought this was going to be Pythagorean Theorem, but no.

Use Cosine Law:

cos θ = $\frac{10^2 + 21^2 - 17^2}{2(10)(21)}$

θ = cos−1(0.6)

θ = 53.130...

Now use the SOHCAHTOA ratio for sine ( $\frac{opposite}{hypotenuse}$ ) to find x now that you have one angle:

sin θ = $\frac{x}{10}$

x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)

x = 8

3 0

3 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

3 years ago

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3xy - 15x + y ^ 2 - c In the polynomial above, c is a constant. If the polynomial is divisible by y - 5 , what is the value of c

Natalija [7]

Answer:

25

Step-by-step explanation:

Synthetic division shows the remainder to be 25-c. In order for that remainder to be zero, the value of c must be 25.

4 0

3 years ago