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gayaneshka [121]
1 year ago
13

In the Lab, Yolanda has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much Solution

A as Solution B. Solution A is 10% alcohol and Solution B is 16% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 92 milliliters of pure alcohol?
Mathematics
1 answer:
Mamont248 [21]1 year ago
5 0

Yolanda uses 69 milliliters of solution B to make the mixture.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let x represent the amount of solution A and y represent the amount of alcohol B, hence:

x + y = 92    (1)

Also:

y = 3x    (2)

From both equations:

x = 23, y = 69

Yolanda uses 69 milliliters of solution B to make the mixture.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Aleonysh [2.5K]

1/2 for a coin. 1/6 for a die. multiply them and u get 1/12 (you happy now weirkai27?) 1/12 is your answer.

brainliest?

4 0
3 years ago
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste
Vladimir [108]

Answer:

The value of t test statistics is 5.9028.

We conclude that the true mean is greater than 10 at the .01 level of significance.

Step-by-step explanation:

We are given that a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead.

The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.

<em />

<em>Let </em>\mu<em> = true mean transmission of pages.</em>

So, Null Hypothesis, H_0 : \mu \leq 10 pages     {means that the true mean is smaller than or equal to 10}

Alternate Hypothesis, H_A : \mu > 10 pages     {means that the true mean is greater than 10}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = 14.44 pages

            s = sample standard deviation = 4.45 pages

            n = sample of fax transmissions = 35

So, <u><em>test statistics</em></u>  =  \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }  ~ t_3_4  

                               =  5.9028

(a) The value of t test statistics is 5.9028.

Now, at 0.01 significance level the z table gives critical values of 2.441 at 34 degree of freedom for right-tailed test.

<em>Since our test statistics is more than the critical values of z as 5.9028 > 2.441, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis.</u></em>

Therefore, we conclude that the true mean is greater than 10.

(b) Now, P-value of the test statistics is given by the following formula;

               P-value = P( t_3_4 > 5.9028) = Less than 0.05%    {using t table)

7 0
3 years ago
Lenny has 21 green blocks the ratio of green blocks to yellow blocks she owns is 3:1 How many blocks does she own.
Lena [83]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
15 points<br>Steps needed
morpeh [17]
It is not a negative so it is 10 because the number can't be big
3 0
3 years ago
You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto
jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

Total charges by Prestige Car rentals = $47 + $0.07x

Charges for one mile by Gateway Auto = $0.12

Charges for x miles by Gateway Auto = $0.12x

Total charges by Gateway Auto = $35 + $0.12x

As per question statement, the charges are same:

\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}

4 0
2 years ago
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