Ask question

Ask question

All categories

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.

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

I NEED HELP WITH PERCENT PROBLEM

fomenos

Answer:

76$

Step-by-step explanation:

114=.6y; y= original price

y=190, original price

190-114=76

4 0

2 years ago

How to solve <br> 12 x 3/4

tamaranim1 [39]

Answer:

9

Step-by-step explanation:

Write the fractions in fraction form 12/1 x 3/4

Multiply numerator x numerator and denominatior x denominato

You will get 36/4

36/4 = 9

5 0

3 years ago

From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean leng

alexandr402 [8]

Complete Question

From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:

a. A point estimate of $\mu$ and its 90% margin of error.

b. A 95% confidence interval for $\mu$ .

Answer:

a

$\= x = 13.4$ . $E = 2.3$

b

$10.7 < \mu < 16.1$

Step-by-step explanation:

From the question we are told that

The sample size is n = 18

The 90% confidence interval is (11.1, 15.7)

Generally the point estimate of $\mu$ is mathematically evaluated as

$\= x = \frac{11.1 + 15.7 }{2}$

=> $\= x = 13.4$

Generally the margin of error is mathematically evaluated as

$E = \frac{15.7 - 11.1}{2 }$

=> $E = 2.3$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the equation for the lower limit of the confidence interval is

$\= x - Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{18} } = 11.1$

=> $13.4 - 0.3877 s = 11.1$

=> $s = 5.932$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{5.932}{\sqrt{18} }$

=> $E = 2.7$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $13.4 - 2.7 < \mu < 13.4 + 2.7$

=> $10.7 < \mu < 16.1$

3 0

3 years ago

Two antibiotics are available as treatment for a common ear infection in children. • Antibiotic A is known to effectively cure t

Scrat [10]

Step-by-step explanation:

the probability of A working is 60% or 0.6, so the probability it does not work is 40% or 0.4.

the probability of B working is 90% or 0.9, so the probability it does not work is 10% or 0.1.

plan 1

it is the probabilty that either A works, or (if it is not working) B works.

0.6 + 0.4×0.9 = 0.6 + 0.36 = 0.96

plan 2

either B works, or (if it is not working) A works

0.9 + 0.1×0.6 = 0.9 + 0.06 = 0.96

both plans have the same success probability.

5 0

2 years ago

Sharon has 23 toy car that are colored red, blue, and white. She has 4 red cars, 2 fewer blue cars than red and 5 more purple ho

podryga [215]

Answer:

13 white cars

Step-by-step explanation:

Let us represent:

Number of

Red cars = x

Blue cars = y

White cars = z

Sharon has 23 toy car that are colored red, blue, and white.

x + y + z = 23

x = 4

2 fewer blue cars than red

y - 2 = x

y - 2 = 4

y = 4 + 2

y = 6

Hence,

x + y + z = 23

4 +

Number of white cars is calculated as:

23 - (6 + 4)

23 - 10

= 13 white cars

8 0

3 years ago