answer.
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
Setler79 [48]
2 years ago
10

the means of a proportion are 21 and 33. List all possible pairs of positive integers that could be the extremes of the true pro

portion
Mathematics
1 answer:
prisoha [69]2 years ago
7 0
X/21 = y/33

xy = 21·33 = 693

The factors of 693 are 1,3,7,9,11,21,33,63,77,99,231,693.

(x,y) = (1,693), (693,1), (3,231), (231,3), (7,99), (99,7), (9,77), (77,9), (11,63), (63,11), (21,33), (33,21)
You might be interested in
The number of bacteria in a petri dish on the first day was 113 cells. If the number of bacteria increase at a rate of 82% per d
Tresset [83]

Answer:

4107 cells

Step-by-step explanation:

From the question, we have the following values:

Day 1 : 113 cells

Number of cells increases by day by 82%

Hence,

Day 2

113 × 82% = 92.66cells

Hence, Total number of bacteria cells for Day 2 = 113 + 92.66 = 205.66cells

Day 3

205.66 × 82% = 168.6412 cells

Hence, Total number of bacteria cells for Day 3 = 168.6412 + 205.66 = 374.3012 cells

Day 4

374.3012 × 82% = 306.926984 cells

Hence, Total number of bacteria cells for Day 4 = 306.926984 + 374.3012 = 681.228184 cells

Day 5

681.228184 × 82% = 558.60711088 cells

Hence, Total number of bacteria cells for Day 5 = 558.60711088 + 681.228184 = 1239.8352949 cells

Day 6

1239.8352949 × 82% = 1016.6649418 cells

Hence, Total number of bacteria cells for Day 5 = 1016.6649418 + 1239.8352949 = 2256.5002367 cells

Day 7

2256.5002367 × 82% = 1850.3301941 cells

Hence, Total number of bacteria cells for Day 7 = 1850.3301941 + 2256.5002367 = 4106.8304308 cells

Approximately to nearest whole number, the total number of bacteria cells that would be present after 7 days = 4107 cells

3 0
2 years ago
Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the pro
amm1812

Answer:

chances chances of happening = 0.0119

Step-by-step explanation:

given data

bet =  $5

independent fair games = 50

solution

we will think game as the normal distribution

so here  mean is will be

mean = \frac{50}{2}

mean = 25

and standard deviation will be

standard deviation = \sqrt{50*0.5*0.5}

standard deviation = 3.536

so

we have to lose 33 out of 50 time for lose more than $75

so as chance of doing things z score is

z score = \frac{33-25}{3.536}

z score  = 2.26

so from z table

chances chances of this happening = 0.0119

8 0
2 years ago
Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c
enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

4 0
2 years ago
Which situation could be represented by the graph?
Y_Kistochka [10]

Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

9 0
2 years ago
Read 2 more answers
In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. A long-distance telephone c
scoundrel [369]

Answer:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: \mu =7.2

Alternative hypothesis: \mu \neq 7.2

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

Step-by-step explanation:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: \mu =7.2

Alternative hypothesis: \mu \neq 7.2

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not

4 0
2 years ago
Other questions:
  • Use lagrange multipliers to find the points on the given surface that are closest to the origin. y2 = 64 + xz
    10·1 answer
  • What is the green dot on the parabola called
    8·1 answer
  • In a recent​ year, 304 of the approximately​ 300,000,000 people in the United States were struck by lightning. Estimate the prob
    10·2 answers
  • 6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
    10·1 answer
  • Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. S
    12·1 answer
  • Students in a cooking class made 4 1/2 quarts of soup. They served 4/5 of the soup to friends. Each serving is 3/5 quart. Hector
    7·1 answer
  • Evaluate y = ln (x − 2) for the following values of x. Round to the nearest thousandth.
    9·2 answers
  • Ben uses a compass and straightedge to bisect segment PQ, as shown: segment PQ with compass open to greater than half of segment
    8·1 answer
  • Tootsie rolls cost $0.02 each and Peppermint Patties cost $0.05 each. If you have $1.00, how many of each
    15·2 answers
  • Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!