If x an y are natural numbers then x-y is a natural number what is the converse of this statement
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Answer:
If x-y is a natural number, then x and y are natural numbers.
Step-by-step explanation:
The converse of ...
If P, then Q.
is ...
If Q, then P.
__
Here, we have ...
P = "x and y are natural numbers"
Q = "x-y is a natural number"
So, the converse is ...
If x-y is a natural number, then x and y are natural numbers.
_____
In this case, the converse is false.
Exercise 18.14. Toy defects. Workers at a factory produce a toy with a defect about once every 4 hours on average. Each toy costs the factory approximately $7 in labor and supplies. a. What is the expected number of toys with defects at the end of a 40-hour work week
Answer: $70
Step-by-step explanation:
Given that:
Toy with defect is produced once every 4 hours
Cost of labor and supplies incurred for producing a defective toy = $7
Number of defective toys that is expected to be produced in a 40 hour work week :
Number of hours / average hour for producing 1 defective toy
= 40/ 4
= 10 defective toys
Cost incurred for producing 10 defective toys :
($7 * 10) = $70
Solve the proportion. 3/4=m/6
Answer:
9/2=m
Step-by-step explanation:
3/4=m/6
m/6×3/4
18/4m
9=2m
m=9/2
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Fifteen more than three times a number is the same as ten less than six times
the number. What is the number?
Answer:
The number: x
Step-by-step explanation:
15+3x = 6x-10
3x = 25
Answer:
40
Step-by-step explanation:
15 + 3x = 6x - 10
15 + 10 = 6x - 3x
25 = 3x
25/3 = x
To check
15 + 3(25/3) = 6(25/3) - 10
15 + 25 = 50 - 10
40 = 40
the cost for 25 square yards of carpet is $650. the cost for 40 square yards of carpet is $950
stare the property used in each case 13×11=11×13
Answer:
Commutative property of multiplication.
Explanation:
Commutative property is when you switch the order of the numbers around yet the answer still remains the same.
Ex: ab=ba or a+b=b+a
The maximum heart rate is the highest heart rate achieved during maximal exercise. In general, you get the most benefits and reduce the risks when you exercise within your target heart rate zone. Usually this is when your exercise heart rate (pulse) is about 80 percent of your maximum heart rate. The formula M = 0.8 ( 220 − A ) M = 0.8 ( 220 - A ) , gives the recommended maximum heart rate, M M , in beats per minute, for a person who is A A years of age. Determine the age of a person whose target heart rate is 128 beats per minute. The recommended maximum heart rate is 128 beats per minute for a person who is years old.
Answer:
160 years
Step-by-step explanation:
The formula for the heart rate is given by :
M=0.8 (220−A) ...(1)
M is the maximum heart rate in beats per minute and A is the age in years
Put M = 128 beats per minute in the above formula.
128=0.8(220-A)
160=220-A
A=220-160
A = 160 years
So, the age of person is 160 years if heart rate is 128 beats per munute
Answer:
B
Step-by-step explanation:
Plz give brainliest
what is 78756567.998 divided by 76454
Answer:
1,030.11703766971
Step-by-step explanation:
Just use a calculator (windows + r and then type calc if your on windows or search up calculator)
What do I use to make a meat loaf?
find the quotient 5,9,374
Answer:
I don’t know exactly what ur asking but I hope this helps
Step-by-step explanation:
6.33
NOT Answer:
i would be glad to answer this but whats a quotient
sory
20 points & will give brainliest
Find the distance between (5,8) and (3,-1)
Answer:
root 85
decimal 9.21
slope 9/2
Step-by-step explanation:
didnt know which one you wanted fully
Solve:
5x + 10 = -15
Answer:
x= -5
Step-by-step explanation:
5x + 10 = -15
subtract 10 from both sides
5x = -25
divide both sided by 5
x = -5
Hope this helps :)
In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5. What is the weight of silver in the alloy if there are 18g of gold?
Answer:
45
Step-by-step explanation:
equate the two equations
2/5=18/x
Answer:
45grams
Step-by-step explanation:
Write a linear equation that passes through the points (1,-6) and (-3, 10) *
HAHAHA HELP PLS
y=-4x-2
Step-by-step explanation:
Answer:
y= -4x-2
Step-by-step explanation:
10- -6/-3-1
10+6/-3-1
16/-4
-4
Suppose that y varies directly with x and y=12 when x=-2. What is x when y=-6
Please help me!!
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Answer:
x = 1
Step-by-step explanation:
You can work this several ways.
1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.
Then the unknown value of x is the known value multiplied by that same factor:
x = (-1/2)(-2)
x = 1
__
2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.
y = kx . . . . . . . . . . . . . . y varies directly with x
k = y/x = 12/-2 = -6
Now we know ...
y = -6x
Filling in the new value for y, we have ...
-6 = -6x
1 = x . . . . . . divide by -6
__
3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.
-2/12 = x/-6
Multiplying by -6, we get ...
(-6)(-2)/12 = x = 1
8) There are 6 cups of sugar in 5 batches of cookies. How many cups are in 1 poin
1 batch?
Answer:
6/5 cupsStep-by-step explanation:
[tex]6 \:cups = 5\:batches\\x\:cups = 1\:batch\\\\Cross\:Multiply\\\\5x = 6\\\\Divide\:both\:sides\:of\:the\:equation\:by\:5\\\\\frac{5x}{5} =\frac{6}{5} \\\\x = 1\frac{1}{5}[/tex]
How do you solve for x?
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
What is the answer of 10% of 6340
Answer:
604
Step-by-step explanation:
just simple division pls giv 5 out ogf 5 and thanks
Answer:
634
Step-by-step explanation:
Graph g(x) = -8 2 +1.
Answer:
x= -82+1
x= -81
Step-by-step explanation:
i hope it is help full
A video game displays 96 frames in a four seconds on Penelope‘s computer. What is the rate in frames per second?
Answer:
24 frames per second
Step-by-step explanation:
Which of the following options have the same value as 25\%25%25, percent of 646464?
Choose 2 answers:
Answer:
25/100 *64
0.25*64
Step-by-step explanation:
Answer:
25/100 times 64 and 0.25 times 64
Step-by-step explanation:
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answer:
ewhyfreu62
Step-by-step explanation:
2) If U is between T and B, find the value of x and the lengths of the segments Label the line show all work
to answer the questions. (4 points)
T
U
B
TU = 2x, UB = 3x, TB = 20
X =
I
TU=
UB=
Number 2
Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?
Answer:
Number of $10 bills = 2
Number of $5 bills = 3
Number of $1 bills = 5
Step-by-step explanation:
Given:
Total amount = $40
Number of $10 bills = x
Number of $5 bills = x + 1
Number of $1 bills = x + 1 + 2 = x + 3
Find:
Number of each bills
Computation:
10(x) + 5(x+1) + 1(x+3) = 40
10x + 5x + 5 + x + 3 = 40
16x = 32
x = 2
Number of $10 bills = x = 2
Number of $5 bills = x + 1 = 3
Number of $1 bills = x + 3 = 5
Answer:
# of $10 bills = 2
# of $5 bills = 3
# of $1 bills = 5
Step-by-step explanation:
I mark as brainliest
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
:)
Identify the coefficients: -3h - 2h + 6h +9
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
helppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
8.40049 × 10^7
Step-by-step explanation:
Solve using the distributive property 5(3 + 0.5)
Answer:
17.5
Step-by-step explanation:
15 plus 2.5
17.5
hope this helps