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AnnZ [28]
3 years ago
15

A student has some $5 bills and $10 bills in her wallet for a total of $100. The amount of $10 bills she has is 3 more than 3 ti

mes the amount of $5 bills. How many of each type of bills does she have?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

she has 6 $5 bills and 4 $10 bills I think I'm not sure

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A manufacturer of metal fasteners expects to ship an average of 1197.00 boxes of fasteners per day. A random sample of 24 days p
lana66690 [7]

Answer:

The p-value obtained is less than the significance level at which the test was performed, hence, we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Step-by-step explanation:

For hypothesis testing, we first clearly state our null and alternative hypothesis.

The null hypothesis is that there is no evidence showing that the average number of boxes shipped per day is different from 1197.00. That is, there is no significant difference between the number of boxes shipped per day and 1197.00

And the alternative hypothesis is that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Mathematically, the null hypothesis is

H₀: μ₀ = 1197.00

The alternative hypothesis is

Hₐ: μ₀ ≠ 1197.00

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ₀)/σₓ

x = sample mean = 1193.69 boxes per day

μ₀ = standard that we're comparing the sample mean with = 1197.00

σₓ = standard error of the sample mean

= (σ/√n)

where n = Sample size = 24 days

σ = standard deviation of the sample = 3.3166 boxes per day

σₓ = (3.3166/√24) = 0.677

t = (1193.69 - 1197) ÷ 0.677

t = -4.89

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 24 - 1 = 23

Significance level = 0.05

p-value (for t = -4.89, at 0.05 significance level, with a two tailed condition) = 0.000061

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 5% = 0.05

p-value = 0.000061

0.000061 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Hope this Helps!!!

6 0
2 years ago
A customer buys 17.01 in gas and request one five dollar lottery ticket two one dollar lottery tickets and one three lottery tic
const2013 [10]

The store clerk gave the customer:

Gas. . . . . . . . . 17.01
$5 ticket . . . . . . 5
$3 ticket . . . . . . 3
2 x $1 ticket . . . 2

Total. . . . . . .  $27.01


The customer gave the store clerk:

$5 ticket . . .  5
$2 ticket . . .  2
cash. . . . . 100

Total. . . . $107

The store clerk owes the customer  ($107 - $27.01)  =  $ 79.99  .

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER ITS DUE SO SOON
geniusboy [140]

the line is negative because it goes down as you move right

slope = rise/run = 4/2 = 2

y = 2x+b

use a point on the line - I picked (-4, 3)

3 = 2(-4)+b

3 = -8+b

11 = b

<h2>y = 2x +11</h2>
8 0
3 years ago
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo
Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0
3 years ago
(Math Help Quick Lots of points please thanks)
Elden [556K]

Answer:

E = {0, 1, 2, 3)

Step-by-step explanation:

  • <u>Integer</u>: a number with no decimal or fractional part, from the set of negative and positive numbers, including zero
  • < means less than
    > means more than

E = {0, 1, 2, 3)

8 0
2 years ago
Read 2 more answers
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