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
sattari [20]
3 years ago
6

A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown

coffee that normally sells for $13.10 per pound to create 50 pounds of a new coffee blend that can sell for $12.62 per pound. How many pounds of each kind of coffee should they mix? Answer: pounds of Rift Valley coffee? pounds of Mexican Shade Grown coffee? Round your answers to the nearest whole number of pounds.​
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26

You might be interested in
Deepa finds some dimes and quarters under the couch cushions. How much money
sergiy2304 [10]

Answer:

$2.25

Step-by-step explanation:

10*0.10= $1.00

5*0.25= $1.25

1+1.25= $2.25

8 0
2 years ago
A sample of 1200 computer chips revealed that 45% of the chips fail in the first 1000 hours of their use. The company's promotio
yaroslaw [1]

Answer:

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

p_v = P(Z

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.   

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

\hat p=0.45 estimated proportion of chips that fail in the first 1000 hours of their use

\mu_0 =0.48 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)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion si less then 0.48:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

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  is significantly different from a hypothesized value .

Calculate the statistic  

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

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

Statistical decision  

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 left tailed test the p value would be:  

p_v = P(Z

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of chips that fail in the first 1000 hours of their use is not significantly less than 0.48.  

6 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
soldier1979 [14.2K]

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

f^(-1) (x) = (1/2)x-1/2

8 0
3 years ago
4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp
inysia [295]
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
3 0
2 years ago
Nick paid 2.94 in sales tax on an item that cost $42.00 at the rate how much he pay in sales tax on an item that cost $58.00 bef
ruslelena [56]
$2.93/$42= about 7% tax
$58*7%= $<span>4.06 in tax</span>
4 0
3 years ago
Other questions:
  • The sum of X and 4 is greater than the difference of 2x and 3 find x
    12·1 answer
  • Terry mesured an angle with a protractor she aligned one side with the bottom of the protractor. the other side passes through t
    15·1 answer
  • What's the answer? please
    15·1 answer
  • Consider the data summary above. After five
    12·2 answers
  • You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
    10·1 answer
  • How much would you pay for 2.5 ounces of gold at the price of $1200 per ounce
    10·2 answers
  • I got a tricky one
    6·1 answer
  • Choose the statement that is true.
    10·1 answer
  • A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and th
    6·1 answer
  • Rewrite the following integral using the order of integration dydxdz​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!