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
adoni [48]
2 years ago
12

Kevin and Randy Muise have a jar containing 92 coins, all of which are either quarters or nickels. The total value of the coins

in the jar is $13.60 How many of each type of coin do they have? The jar contains ____ quarters. The jar contains ____ nickels.
Mathematics
1 answer:
Artemon [7]2 years ago
7 0
<span>Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or

(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.</span>
You might be interested in
The probability of a football team winning a game is three fifths. If they play 45 games in a season, how many games would you e
Charra [1.4K]

Answer:

27 games

Step-by-step explanation:

The probability of them winning is 3 out of 5 games.

First, multiply 45 by \frac{3}{5}

\frac{45}{1} *\frac{3}{5}

\frac{135}{5}

27 games.

<u />

You could also just multiply 45 by 3 then divide by 5. Mostly the same thing

I hope this helps!

8 0
3 years ago
You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre
ra1l [238]

Answer:

1) Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

\bar X=640 represent the sample mean

\sigma=150 represent the population standard deviation

n=40 sample size  

\mu_o =500 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Step1:State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:  

Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

Step 2: Calculate the statistic

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

We can replace in formula (1) the info given like this:  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0
3 years ago
GIVING AWAY BRAINLIEST READ THE QUESTION!
ozzi

Answer:

C

Step-by-step explanation:

A function is constant when the y value does not change when the x value does

The function is constant during section C

7 0
3 years ago
Which number is a solution of a² +4= 6a – 1?<br> 07<br> 6<br> 7<br> 8
LuckyWell [14K]

Answer:

a=1 or a=5

Step-by-step explanation:

a^{2}+4=6a−1

Step 1: Subtract 6a-1 from both sides.

a^{2}+4−(6a−1)=6a−1−(6a−1)

a^{2}−6a+5=0

Step 2: Factor left side of equation.

(a−1)(a−5)=0

Step 3: Set factors equal to 0.

a−1=0 or a−5=0

a=1 or a=5

(is it helpful rate me according to that

Thank You:-)

6 0
3 years ago
In the parallelogram below,<br> z = [ ? ]°<br> 124°<br> 2z+16°<br><br> Helpp!
uranmaximum [27]

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

7 0
2 years ago
Other questions:
  • Suppose a soup can has a diameter of 10 cm and a height of 12 cm. What is the volume of soup in the can? (to nearest whole numbe
    7·2 answers
  • Your teacher spent 55$ on tulips and daffodils. a pot of tulips cost 5$ and a pot of daffodils cost 4$. if your teacher bought 1
    9·2 answers
  • What is the angle in both radians and degrees determined by an arc of length 2pi meters on a circle of radius 8 meters?
    12·1 answer
  • What occurs when electric chargers build up on objects
    15·1 answer
  • Write the simplest polynomial function with the given zeros 5 -5 and 6
    15·1 answer
  • Points M and N on the coordinate grid below show the positions of two midfield players of a soccer team:Which statement best des
    7·1 answer
  • 1. Are all images, or new figures that result from a translation, always congruent to the
    14·1 answer
  • A certain game has a deck of cards labeled 1,2,3, or 4. At the beginning of a turn, a player draws a card from the deck and then
    9·2 answers
  • Find the midpoint between the points in the graph. <br> Can someone please help
    12·1 answer
  • Can someone please explain
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!