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Ray Of Light [21]
3 years ago
5

It costs 31.95d + 0.10m dollars to rent a car for d days and drive it m miles. How much does it cost to rent a car for 5 days if

the car is driven a total of 600 miles ?
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

$219.75

Step-by-step explanation:

Just plug in the values

x = final cost

31.95(5) + 0.10(600) = x

159.75 + 60 = x

219.75 = x

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It
Pachacha [2.7K]

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

H_0:\mu = 419 --- works correctly at 419g

Alternate Hypothesis

H_0:\mu < 419 --- under fills the bag

n =15 --- the sample

\bar x = 409 --- the mean

\sigma = 22 --- the standard deviation

\alpha = 0.05 --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

t = \frac{\bar x - \mu}{\sigma/\sqrt n}

t = \frac{409 - 419}{22/\sqrt{15}}

t = \frac{-10}{22/ 3.87}

t = \frac{-10}{5.58}

t = -1.792

Calculate df

df = n-1

df = 15-1

df = 14

Calculate the p value from the Student's t-distribution  at df = 14 and t = -1.792

p =0.047  

Given that: \alpha = 0.05

Since p < \alpha

So, it means that the machine is under filling the bags

6 0
3 years ago
Maya has a car loan of $31,470. The loan has a simple interest rate of 5% per year.
3241004551 [841]

Answer:

$1573.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 31470 × 0.05 × 1 = 1573.5

I = $ 1,573.50

The simple interest accumulated

on a principal of $ 31,470.00

at a rate of 5% per year

for 1 year is $ 1,573.50.

4 0
3 years ago
peter ​says, "If you subtract 11 from my number and multiply the difference by -2​, the result is -26." What is Peter's number?
8_murik_8 [283]

Answer:

24

Step-by-step explanation:

Reverse

-26/-2= 13

13+11=24

Check

24-11=13

13×-2= -26

4 0
4 years ago
Read 2 more answers
Wich is the greatest six digit number 860,553 or 865,530
Serjik [45]
865,530 is the greatest because the other number, 860,530 has '0' in the place of '5' in the 865,530.
8 0
3 years ago
Read 2 more answers
Solve the problem.
marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0
3 years ago
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