Nancy has (4K + 6) meters of ribbon. Kevin has (6k - 2) meters of ribbon. If k = 5, who has the shorter ribbon?

zvonat [6]

$x-\ the price \ of \ the \ gift \ \\ \\ 10\% \ of \ x= \frac{10}{100}*x= \frac{1}{10}*x=\frac{x}{10}- the \ discount \\ \\x^{(10} -\frac{x}{10}= \frac{10x-x}{10}= \frac{9x}{10} -the \ new \ price \ \\ \\4*9.00 \$=36 \$ -the \ price \ after \ discount \\ \\ \frac{9x}{10}=36 =>x=\frac{10*36}{9} \\ \\ \boxed{x=40 \$}$

the variant A.$40.00

5 0

2 years ago

Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th

pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0

2 years ago

Can someone help me with this and show the work :) i’ll mark first person brainlyest

weqwewe [10]

Answer:

its probably is B. I am not sure. I wouldnt trust me though but you can if you want. ._.

5 0

2 years ago

Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$