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
Lemur [1.5K]
3 years ago
5

Jean stocked her aquarium with 36 fresh-water fish, which cost $212. The male fish cost $5 each, while the female fish cost $7 e

ach. Find the number of male fish (x) and the number of female fish (y).
Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0

Answer:

Male Fish = 20

Female Fish = 16

Step-by-step explanation:

Let number of male fish be x and number of female fish be y

There are 36 fishes in total, so we can write:

x + y = 36

or

x = 36 - y

Also, male fish (x) cost 5 each and female fish (y) cost 7 each totalling $212, so we can write:

5x + 7y = 212

Now, we can put 1st equation in 2nd equation and get an equation in "y" and solve for y first:

5x + 7y = 212\\5(36-y) + 7y = 212\\180-5y+7y=212\\2y=212-180\\2y=32\\y=\frac{32}{2}\\y=16

We know x = 36 - y, so

x = 36 - 16

x = 20

Thus,

there are

20 Male fishes & 16 female fishes in the aquarium

You might be interested in
8. Write y-x-y-x in simplest form.<br><br><br><br>10 points ​
alisha [4.7K]

Answer:

Easy -2x

Step-by-step explanation:Because both a positive y and a negative y cancle out eachother so all thats left is both of the negative x's

4 0
2 years ago
Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other
tresset_1 [31]

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

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

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

5 0
3 years ago
What does y=-1/2x-4
Anvisha [2.4K]

Answer:

y = -1/2x - 4

From this, you can tell it's in slope-intercept form, has a slope of -1/2, and a y-intercept of -4.

I've included a picture of what this equation looks like.

5 0
2 years ago
Read 2 more answers
Write your answer below. Your
liberstina [14]

Answer:

7/10 or 0.7

Step-by-step explanation:

hope it helps

5 0
2 years ago
I need help evaulate it,s [2x(1+4)2 diivide by 10 please help me
bixtya [17]
Hshshshdjdjdjhdjdjdjdnr
5 0
3 years ago
Other questions:
  • What is 1+1 im srry im in kindergraden
    14·1 answer
  • Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
    9·2 answers
  • of the 80 guests invited to a wedding, 28 attended the wedding. What percent of the invited guests attended the wedding?
    14·1 answer
  • 6.<br> -20 + -2m<br> Can u help me
    5·1 answer
  • 49. Given f(x) =2x^2+5 and g(x) =3x^3, what is f(x)x g(x)?
    15·1 answer
  • Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • Bella wants to save for a vacation in three years and this vacation costs $2300 . She deposits $2000 into a bank earning 5% inte
    11·1 answer
  • Give the required elements of the hyperbola.
    10·2 answers
  • I Need Help Plzzzzz!!!!
    11·2 answers
  • A polynomial multiplied by a polynomial is a polynomial
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!