Answer:
a. 14/15
b. 1/12
Step-by-step explanation:
a) 1/3 + 3/5
so find the lowest common multiple for the denominators which is 15
then say 15 ÷ 3 = 5
then 15 ÷ 4 = 3 (you are dividing by the denominators)
say 5 × 1 (multiple by the numerators now)
= 5
= 5/15
now say 3 × 3 = 9
= 9/ 15
now it's 5/15 + 9/15
= 14/15
Jason made an error that he just added the denominators without applying any formula.
b. 11/12 - 5/6
find the lcm
= 12
11/ 12 × 1/1 = 11/12
5/6 × 2/2 = 10/12
11-10
= 1
= 1/12
Jason made a mistake that he said 12-6 instead of finding the LCD them multiplying that fractions
The errors Jason made that he did not take LCM of denominators.
What are denominators?In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into.
Given are some calculations done by Jason,
We know that, to add two fractions, we take LCM of denominators and then divide the numerator by LCM and the add,
a) 1/3 + 3/5 = 4/8
Here, Jason have not taken LCM of denominators
Correction =
[tex]\frac{15(\frac{1}{3} )+15(\frac{3}{5}) }{15} \\= \frac{5+9}{15} \\=\frac{14}{15}[/tex]
b) 11/12 - 5/6 = 6/6 = 1
Again, the error is the same.
LCM(6, 12) = 12
Correction =
[tex]\frac{12(\frac{11}{12})+12(\frac{5}{6)} }{12} \\= \frac{11-10}{12} \\= \frac{1}{12}[/tex]
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Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim?A. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly is the same.
B. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly may be the same.
C. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of women than men who watch television regularly.
D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
E. The researcher cannot draw a conclusion about a claim without performing a significance test.
Answer:
The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
Step-by-step explanation:
We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).
Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.
Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
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Select the null and the alternative hypotheses for the following claims:
a. "I am going to get the majority of the votes to win this election."
multiple choice 1
H0: μ = 0.50; HA: μ ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
multiple choice 2
H0: μ ≥ 10; HA: μ < 10
H0: p ≥ 10; HA: p < 10
H0: μ = 10; HA: μ ≠ 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
multiple choice 3
H0: μ = 250; HA: μ ≠ 250
H0: p ≤ 250; HA: p > 250
H0: p = 250; HA: p ≠ 250
Answer:
a. H0: p ≥ 0.50; HA: p < 0.50
b. H0: μ ≥ 10; HA: μ < 10
c. H0: μ = 250; HA: μ ≠ 250
Step-by-step explanation:
a. "I am going to get the majority of the votes to win this election."
This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be
H0: the probability of winning is more than 50 %
against the claim that
Ha: the probability of winning is less than 50%
So the best choice would be option c
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
The claim is that the pizzas are less than 10 inches in size.
which can be written as alternate hypothesis
Ha: u < 10
so the best choice would be option a
H0: μ ≥ 10; HA: μ < 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.
the alternate hypothesis would be u ≠ 250 mg
Ha: μ ≠ 250 and the null hypothesis is the reverse of the aalternate hypothesis.
so the best option would be part a
H0: μ = 250; HA: μ ≠ 250
In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is
Answer:
33.69[tex]\pi[/tex] or 105.83
Step-by-step explanation:
Volume for a cylinder is
V= [tex]\pi r^{2}h[/tex]
we need to find the radius from the base
B = 2[tex]\pi[/tex]r
B= 3.5/2 = 1.75
V =[tex]\pi 1.75^{2}*11[/tex]
V = 33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not
Need help with these math problems
Answer:
1. 34 sq.m.
2. 21 sq.m
3. A square pyramid has 1 square base and 4 triangular faces.
a. 36 square centimeters
b. 48 square centimeters
c. 84 square centimeters
4. a. 248 square centimeters
b. 1240 square centimeters
5. 140.8 square centimeters
hi good day plss help me plssssssssss i need yoyre help now plss
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysThe number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?
Answer:
number of minutes
Step-by-step explanation:
Artie ate 1/5 of a box of cereal last week and 1/5 of the box more this week. How much of Arties box of cereal is left?
PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
Answer:
800 × ( 3.87 ÷ 100 ) × 1
= 30.96
Hi please help me i will mark as brainiest just please help!
Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
giving brainliest !! *easy*
Solve: 64-3x-3 .64+22=38
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z8?
78° =21
314
615
78
b
This is because alternate exterior angles are congruent when we have parallel lines like this.
Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.
PLEASE HELP who knows the answer to this?
Answer:
a.
Step-by-step explanation:
I’ll give brainliest! Can someone help me with this please!!!
Answer:
120 yards
Step-by-step explanation:
Answer:
360 ft.
Step-by-step explanation:
You multiply the number of total yards, which is 120, by 3 to get feet.
Factorise the expressions.
Answer:
Q.1 lx²+mx
=x(lx+m)
Q.2 x² - ax - bx + ab
= x(x - a) - b(x - a)
=(x - b)(x - a)
Q.3 6ab - b²+ 12ac - 2bc
= b(6a - b) - 2a(6a - b)
=(b - 2a)(6a - b)
I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.
Smallest number to the largest number 0.078,0.78,0.87,0.708
Answer:
Smallest: 0.078, 0.708, 0.78, 0.87 :Largest
Step-by-step explanation:
PLEASE HELP ASAP
trigonometry
Answer:
5). x = 11.9°
6). x = 27.2°
Step-by-step explanation:
5). By applying cosine rule in the given triangle,
cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(32)° = [tex]\frac{x}{14}[/tex]
x = 14cos(32)°
x = 11.87
x ≈ 11.9°
6). By applying sine rule in the given triangle,
sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(54°) = [tex]\frac{22}{x}[/tex]
x = [tex]\frac{22}{\text{sin(54)}}[/tex]
x = 27.19°
x ≈ 27.2°
Answer this ASAP the last question that due 5 minutes
Answer:
C
Step-by-step explanation:
If you graph the points, count boxes from the orgin (0,0).
You will have to go 3 to the right (on x), and up 6 (on y).
Solve the following system of equations with the substitution method
Karen Sue has 6 pairs of jeans that
are ripped. If that represents 40%
of the total pairs of jeans in her
wardrobe, what is the total number
of pairs of jeans in her wardrobe?
Set up as a proportion and solve.
Answer:
The total number of pairs of jeans in her wardrobe is 15.
Step-by-step explanation:
We solve this question using proportions.
6 pairs of jeans represents 40% of the total.
The total is x. Using proportions:
[tex]\frac{6}{x} = \frac{40}{100}[/tex]
[tex]\frac{6}{x} = 0.4[/tex]
[tex]0.4x = 6[/tex]
[tex]x = \frac{6}{0.4}[/tex]
[tex]x = 15[/tex]
The total number of pairs of jeans in her wardrobe is 15.
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet
Answer:
4,300 square feet
Step-by-step explanation:
First, calculate the area of Jayden's front yard.
50 feet × 80 feet = 4,000 square feet
Next, find the area of half of Jayden's back yard.
1/2(20 feet × 30 feet) = 300 square feet
Last, add the two areas together.
4,000 feet + 300 feet = 4,300 square feet
So, Jayden needs to purchase 4,300 square feet of sod
Frank bought 3.86 lbs of cherry and lime jelly beans for his birthday party. If 1.56 lbs were cherry flavor, how many pounds were lime flavor?
Answer:
2.3 lbs.
Step-by-step explanation:
Total=3.86
Cherry=1.56
3.86-1.56= 2.3
One spring day, Jin noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 56° F. For the next 5 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Jin's data.
Answer:
This is how the graph will look like because I don't have a graph that why I use a note
Step-by-step explanation:
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
The temperature variations is represented on the graph attached with the answer.
What is graph?A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight
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Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Can please someone help with this two problems?
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
Solve | 2x - 6 | = |x| by graphing
Answer:
X=2 & X=6
Step-by-step explanation:
If you graph the equation (I recommend using desmos) you can see that X equals 2 & 6.