1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
2 years ago
12

A chemical company makes two brands of antifreeze the first brand contains 65% pure antifreeze and the second brand contains 80%

pure antifreeze in order to obtain 60 gallons of a mixture that contains 70% pure antifreeze how many gallons of each brand of antifreeze must be used
Mathematics
1 answer:
liq [111]2 years ago
8 0

Answer:

30 gallons of each brand

Step-by-step explanation:

1 gallon of 60% + 1 gallon of 80% = 2 gallons 70% (60/2 = 30)

You might be interested in
You work for a consumer advocate agency and want to find the mean repair cost of a washing machine. As part of your study, you r
Alenkasestr [34]

Answer:

90% confidence interval for the population mean is between a lower limit of $92.18 and an upper limit of $107.82.

Step-by-step explanation:

Confidence interval for a population mean is given as mean +/- margin of error (E)

mean = $100

sd = $25.20

n = 30

degree of freedom = n-1 = 30-1 = 29

confidence level (C) = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

critical value (t) corresponding to 29 degrees of freedom and 10% significance level is 1.699

E = t×sd/√n = 1.699×25.20/√30 = $7.82

Lower limit of population mean = mean - E = 100 - 7.82 = $92.18

Upper limit of population mean = mean + E = 100 + 7.82 = $107.82

90% confidence interval is ($92.18, $107.82)

6 0
3 years ago
Read 2 more answers
Could anybody help me with this please?
KengaRu [80]
I think the opposite would be a circle because it would have any points.
4 0
3 years ago
Use the function values for f and g shown in the table below to evaluate the following expression.
Vikentia [17]

The function f(g(2)) is an illustration of a composite function

The value of f(g(2)) is 2

<h3>How to determine the value of the function f(g(2))?</h3>

Given:

The table of values for functions f(x) and g(x)

To calculate f(g(2)), we start by calculating g(2)

From the table;

g(2) = 6

So, we have:

f(g(2)) = f(6)

From the table;

f(6) = 2

So, we have:

f(g(2)) = 2

Hence, the value of f(g(2)) is 2

Read more about composite functions at:

brainly.com/question/10687170

5 0
2 years ago
Solve the equation k+10=27 k=
Reil [10]

Steps to solve:

k + 10 = 27

~Subtract 10 to both sides

k = 17

Best of Luck!

8 0
3 years ago
In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

C: Find the test statistic

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

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

P value

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

6 0
3 years ago
Other questions:
  • Lin runs for 25 seconds at 8.2 meters per second. what is her finish point
    12·2 answers
  • Please please please please please help me I really need this
    13·2 answers
  • Find the cost to park for a day and the hourly rate to rent a paddleboat
    13·1 answer
  • How many times can 144 go into 2873
    10·1 answer
  • 15=7-x find x please
    5·2 answers
  • Please answer What is the turning point of the graph of f(x) = |x + 4| ? (0, –4) (–4, 0) (4, 0) (0, 4)
    9·1 answer
  • Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a​ 32-in.
    13·1 answer
  • What is 9/24 inches?
    8·1 answer
  • -7.
    5·1 answer
  • Please help me I really need these to be answered. Whoever does it gets 100 points!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!