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Ket [755]
3 years ago
8

At a wholesale club, you can buy packages of 6 bottles of shampoo for $14.10. A drugstore is offering the same shampoo this week

for $4.50 for 2 bottles. Which is the better buy? Show your work, or explain in words how you determined your answer.
Mathematics
2 answers:
Oduvanchick [21]3 years ago
7 0
At a wholesale club, the shampoo costs $2.35 each. At a drugstore, the shampoo costs $2.25 each. $14.10 divided by 6 is $2.35 and $4.50 divided by 2 is $2.25.
Oxana [17]3 years ago
6 0
Find the unit rate to see what price is better.
14.10/6 = 2.35 each
4.50/2 = 2.25 each
The 2 pack at the drugstore is a better price because each bottle is 10cents cheaper than at the wholesale club.
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ABC is an isosceles triangle with angle ABC 52 degrees
coldgirl [10]

We need the picture to answer this question.  From the information
given, we can't be sure that XY is even on the same planet as the
triangle.  We certainly don't know how they're related.

All we can say for sure is that if one angle of an isosceles triangle is
52 degrees, then another one is either 52 degrees or 64 degrees.

7 0
3 years ago
A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

So, Null Hypothesis, H_0 : p \leq 50%     {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here <u>One-sample z proportion statistics;</u>

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

            n = sample of subjects = 50

So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

                               =  2.73

The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0
3 years ago
If an object has a mass of 15 g and a volume of 3 mL what is its density
Annette [7]

Answer:

Given the mass of the object = 15g

Given the volume of the object = 3 mL

Density = ?

Step-by-step explanation:

We have two values of an object that is mass of the object and volume of the object. Now we are required to find the Density of the object. In order to find the density of the object, we have to divide the given mass with the given volume. Below is the calculation of the density.

Density = Mass / Volume

Density = 15g / 3 mL

Density = 5 g/ml

7 0
3 years ago
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 cu
myrzilka [38]
125 apples sold after 6 hours
3 0
2 years ago
What is the range of the function y= 2sinx​
Nana76 [90]
<h2>Hello!</h2>

The answer is: [-2,2]

<h2>Why?</h2>

The range of a function shows where the function can exist in the y-axis.

To know the range of the function, we have to isolate x,

So

y=2sinx\\\frac{y}{2}=sinx\\ Sin^{-1}(\frac{y}{2}) = x

The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.

Therefore,

The range of  the function is [-2,2]

Have a nice day!

4 0
2 years ago
Read 2 more answers
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