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4 years ago

14

You have $27 to spend at the mall and a coupon for $6 off at your favourite store. A t-shirt costs $11 how many tshirts can you

buy using your coupon and money

2 answers:

artcher [175]4 years ago

5 0

First we need to found out how much you could buy WITHOUT coupon,
which is 2 shirts that cost $ 22.
You will have $5 Leftover.

Since you have a $6 dollar off coupon, you could buy one more t-shirt with
$ 5 (11 - 6 = 5)

So, the amount of t-shirt you could buy WITH coupon is 3 T-shirts.

vfiekz [6]4 years ago

4 0

3 shirts is the most you can buy excluding tax. if im not right tell me plz ?

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Given the graph below, find MN. Round to the nearest hundredth.

Galina-37 [17]

Answer:

5.39

Step-by-step explanation:

if you are trying to find MN then it means you need to find the length.

we cant use slope, but we CAN make it a triangle!

*see the attached image*

we can use A^2+B^2 to get what the hypotenuse is or C^2 is

2^2+5^2

4+25=29

the square root of 29 is 5.385

then we just round to the hundreth!

5.39

(8>5, so we bump him up)

hope this helped!

7 0

3 years ago

Find the probability of getting 3 heads and 1 tail when flipping a coin 4

Fynjy0 [20]

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped

4 0

3 years ago

A cube has a volume of 1/8 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your a

musickatia [10]

Answer:

Volume of a cube= 1/8 cubic meter

We know that volume of a cube= side x side x side

$(side)^{3}$ = $\frac{1}{8}$

From here, we get side of cube= $\frac{1}{2}$ meter

Hence, the side of a cube = $\frac{1}{2}$ meter

We have to find a fraction, when it is multiplied by itself

$\frac{1}{2}$ x $\frac{1}{2}$ = $\frac{1}{4}$

Here we get our answer $\frac{1}{4}$

8 0

3 years ago

The viscosity of a liquid detergent is supposed to average 800 centistokes at 25° C. A random sample of 16 batches of detergent

meriva

Answer:

a) Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

b) $z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) $p_v =2*P(z>1.92)=0.0548$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) $812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

Step-by-step explanation:

Data given and notation

$\bar X=812$ represent the mean for the sample

$\sigma=25$ represent the standard deviation for the population

$n=16$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is different from 800 centistokes:

Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

b) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) Calculate the P-value

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

$p_v =2*P(z>1.92)=0.0548$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) Confidence interval

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing we got:

$812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

8 0

4 years ago

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Alchen [17]

B is ur answer hope i helped

7 0

3 years ago

Read 2 more answers