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3 years ago

15

A sandwich shop offers 5 types of bread, 4 types of cheese, and 7 types of meat to choose from. Each sandwich will have 1 type o

f bread, 1 type of cheese, and 1 type of meat. How many different sandwiches are possible?
A. 16
B. 35
C. 140
D. 5,040

2 answers:

katrin [286]3 years ago

5 0

Answer:

I'm pretty sure the answer is B also known as 35

Alla [95]3 years ago

3 0

I think the answer is thirty five. > 35

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In golf, shooting par is scored as a 0. A score of 2 below par on a hole in golf is called an eagle. Jacob’s friend Michelle sco

kiruha [24]

If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is

-1 -1

-1 -1

-1 -1

-1 -1

-1 -1

Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.

Therefore 2(-5) is -10 using integer tiles.

If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.

So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.

3 0

3 years ago

In a random sample of 75 American women age 18 to 30, 26 agreed with the statement that a woman should have the right to a legal

ddd [48]

Answer:

a) $z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

b) We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

Step-by-step explanation:

Previous concepts and data given

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".

$p_A$ represent the real population proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_A =\frac{26}{75}=0.347$ represent the estimated proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_A=75$ is the sample size for A

$p_B$ represent the real population proportion for women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_B =\frac{21}{64}=0.328$ represent the estimated proportion of women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_B=64$ is the sample size required for B

$z$ represent the critical value for the margin of error and for the statisitc

The population proportion have the following distribution

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

Part a

We need to conduct a hypothesis in order to check if the proportion are equal, the system of hypothesis would be:

Null hypothesis: $p_{A} = p_{B}$

Alternative hypothesis: $p_{A} \neq p_{B}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{A}-p_{B}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{A}}+\frac{1}{n_{B}})}}$ (1)

Where $\hat p=\frac{X_{A}+X_{B}}{n_{A}+n_{B}}=\frac{26+21}{75+64}=0.338$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

Part b

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$(0.347-0.328) - 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=-0.188$

$(0.347-0.328) + 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=0.226$

And the 99% confidence interval for the difference of proportions would be given (-0.188;0.226).

We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

5 0

3 years ago

My baby sister was born 2 ½ ago . how many months old is she

TiliK225 [7]

It’s 30 months because 2.5 years old times 12 months in a year is 30

3 0

3 years ago

The sum of two numbers is 80 If four times the smaller number is subtracted from the larger number, the result is 10. Find the t

timama [110]

This can be solved using a system of equations.
$\left \{ {{x+y=80} \atop {x-4y=10} \right. 
$
Subtract y from both sides.
$x=80-y$
Substitute:
$80-y-4y=80-5y=10$
Subtract 80 from both sides:
$5y=70$
Divide both sides by 5:
$y= \frac{70}{5} =14$
Substitute.
$x=80-14=66$

3 0

3 years ago

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Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is alread

BARSIC [14]

Answer:

The word per indicates the slope (m) of a linear function, y=mx +b.Using d for x and p for y , the equation representing Ashely's reading is p = 10d. Carly begins on page 40 which represents b, the y intercept of a linear function which indicates an initial amount. So the equation representing Carly's reading is p=8d + 40.

3 0

3 years ago

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