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
AlekseyPX
3 years ago
15

The sum of two numbers is 64. Twice the smaller number is 10 less than the larger number. What are the numbers?

Mathematics
2 answers:
Schach [20]3 years ago
6 0
I  that the two numbers are 18 and 24

masya89 [10]3 years ago
4 0
<span>x = first number
64 - x = second number {sum of two numbers is 64} 
2x = 64 - x - 10 {twice smaller is ten less than larger}
2x = 54 - x {combine like terms}
3x = 54 
x = 18
64 - x = 46 {substituted 18 for x} 

the two numbers are 18 and 46</span>
You might be interested in
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a
ZanzabumX [31]

Answer:

1) Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41

2) \hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

5) z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis:p\geq 0.41  

Step-by-step explanation:

Data given and notation  

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

p_o=0.41 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area:  Null hypothesis:[tex]p\geq 0.41  

Alternative hypothesis:p < 0.41

Part 2  

\hat p=0.36 estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

z_{crit}=-2.33

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017  

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

z_{crit}=-1.28

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that |t_{calculated}| so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis:p\geq 0.41  

4 0
2 years ago
Help me out pls I'm kinda confused ​
BartSMP [9]
I think the one you chose is correct but I am not sure tho
3 0
2 years ago
Please solve, f(x) = mx + b
I am Lyosha [343]

f( x ) = - 1/3 x + 5

.................................

.................................

4 0
2 years ago
Read 2 more answers
81 x 11<br> 73 x82<br> 64 x 55<br> 27 x 63<br> 24 x 25<br> 47 x 63<br> 24 x 44
zubka84 [21]
81 times 11 is 891
 hope this helps u figure out your problem.
4 0
3 years ago
Read 2 more answers
The cost of renting a game at the video store can be described by the function y=5x+4
topjm [15]

Answer:

2 days

Step-by-step explanation:

Use the given formula

y = 5x + 4

The information:

y is the money spent

x is the number of days

It is known that Justin spent $18

so now just substitute in that value

$18 = 5x + 4

and simplfiy by inverse operations

18 = 5x + 4

-4        -4

14 = 5x

/5    /5

2.8 = x

As per this problem, one can infer that renting a game is done by days, and will be charged in days, hence renting a game for 0.8 days is pointless

meaning that the final answer is 2 full days

6 0
3 years ago
Other questions:
  • . Points A (-1,y) and B(5,7) lie on a circle with centre O(2, -3y). Find the values of y. Hence find the radius of the circle
    9·1 answer
  • Using A=Pe^rt solve<br><br>A=1,240,000<br>r=8%<br>t=30 years<br><br>what is P?​
    10·1 answer
  • Find the probability of the following .
    8·1 answer
  • Question:
    5·1 answer
  • Please can someone help me with this question
    13·2 answers
  • Plssss hurryyy
    14·1 answer
  • AT YOUR NEW JOB AT THE COFFEE SHOP, YOU SOLD 42 LARGE COFFEES AND 54 SMALL COFFEES WHAT WAS THE RATIO OF LARGE TO SMALL COFFEES
    12·1 answer
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
    9·1 answer
  • Penny reads 13 pages in 1/3 hour. What is the unit rate for pages per​ hour? For hours per​ page?
    8·2 answers
  • What is the area? please help. this would be my last question
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!