Answer:
1/2
Step-by-step explanation:
This can be done several ways. Perhaps the easiest is to use the decimal equivalents:
(2 3/4)/(5 1/2) = 2.75/5.5 = 0.5
__
If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:
2 3/4 = (4·2 +3)/4 = 11/4
5 1/2 = (2·5 +1)/2 = 11/2
Now, the problem can be written as ...
(2 3/4) / (5 1/2) = (11/4) / (11/2)
This sort of division problem can be solved two ways:
invert and multiply (the denominator is inverted)
= (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2
use a common denominator (for the two fractions)
= (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2
The quotient is 1/2.
_____
Additional comments
It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.
1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5
__
I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)
"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.
Solve for I.
3x -8 < 23 AND
- 4x + 26 > 6
very easy question please answer asap giving brainliest
Answer:
D understand the problem.
Step-by-step explanation:
Answer:
gathering of resources is the main first thing .....
George drew a line on a coordinate system by starting at (0,-5), then moved 2 units to the right and 1 unit up to locate each new point. Which is the equation of the line George Drew?
Answer:
y = 1/2x - 5
Step-by-step explanation:
I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5
A Niffler is a magical creature who loves to collect shiny objects and store them in their pouch, much like a kangaroo. The amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds. Newt Scamander, while studying magical creatures in Britain, found a new colony of Nifflers. He discovered a Niffler who had 32 pounds in their pouch. What is the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch?
Answer:
Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.
Step-by-step explanation:
We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.
Let X = amount a Niffler can hold in their pouch
So, X ~ Normal([tex]\mu=25,\sigma^{2} =6.8^{2}[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 25 pounds
[tex]\sigma[/tex] = standard deviation = 6.8 pounds
Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)
P(X > 32 pounds) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{32-25}{6.8}[/tex] ) = P(Z > 1.03) = 1 - P(Z [tex]\leq[/tex] 1.03)
= 1 - 0.8485 = 0.1515
The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.
Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
I’ve been stuck on this for days plz help:,(
Answer:
a = 27
b = 81
Step-by-step explanation:
3^{3} = 27
3^{4} = 81
y = -16x2 + 242x + 78
Answer:
y=210x+78
Step-by-step explanation:
y=-16x*2+242x+78
y=-32x+242x+78
y=210x+78
Express this number in scientific notation 0.0008235
please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
Answer:
It seems like it is 110 degrees.
Step-by-step explanation:
Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times the smaller angle. Find the measures of the angles
Answer:
Measure of first angle: 42 degrees,
Measure of second angle: 138 degrees
Step-by-step explanation:
Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle
1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x
2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180
3. In this situation it is convenient to apply substitution as to solve for x, y:
1. x + ( 12 + 3x ) = 180
2. x + 12 + 3x = 180
3. 4x + 12 + 180
4. 4x = 168
5. x = 42 degrees
4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:
1. y = 12 + 3 ( 42 )
2. y = 12 + 126
3. y = 138 degrees
Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.
the two angles are 84° and 96°.
We should start by defining what supplementary angles are.
Two angles a and b are supplementary if:
a + b = 180°.
Now, we also know that one of the angles is 12° larger than the other, so we can write:
a = b + 12°
Now that we have that equation, we can replace it in the first one, so we get:
a + b = 180°
(b + 12°) + b = 180°
Now we can solve this for b.
2*b + 12° = 180°
2*b = 180° - 12° = 168°
b = 168°/2 = 84°
To find the value of a, we can use the equation:
a = b + 12°
a = 84° + 12° = 96°.
Then the two angles are:
84° and 96°.
If you want to learn more, you can read:
https://brainly.com/question/18164299
A wedge of cheese in the shape of a triangular prism is shown below.
Find the surface area of the cheese.
_______Square feet
Answer:
[tex]144 $ Square feet[/tex]
Step-by-step explanation:
The given triangular prism comprises of two equal right triangles and three rectangles.
The Surface Area of the Prism
=Area of Two Triangles + Area of Three Rectangles
[tex]=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet[/tex]
Answer: 144
Step-by-step explanation:32+24+4-+48=144
Is p = –11 a solution to the inequality below?
p
> –5
Answer:
not a solution
Step-by-step explanation:
p > -5
Let p = -11
-11 > -5
This is a false statement
It is not a solution
4m 5m what is the value of x
Answer:
5m x 5m, 6m x 4m and 7m x 4m
Step-by-step explanation:
in interval of 0.02 and for the same value of m.
henry is making potato salad. he used the amount of mayo shown in the measuring cup. Use the figures to answer 4-6
Answer:
Idk but i'm pretty sure u found the answer by now...
The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your
answer to the nearest foot.
Answer:
19 feet
Step-by-step explanation:
First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:
3 inches * 1 foot / 12 inches = 0.25 feet
Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:
7 inches * 1 foot / 12 inches = 0.583333
Now, we calculate the number of actual feet using the scale.
0.583333 * 8 / 0.25 = 18.66 feet
that is to say that the length of the current Kitchen is 19 feet if we round
what sock price should the company set to earn a maximum profit
Answer:
10000000000000
Step-by-step explanation:
I do not know how to explain
Which expression shows a way to find 25% of 1000?
Answer:
25% of 1000 is 250
Step-by-step explanation:
(25 ÷ 100) × 1000
Divide the numbers
0.25 × 1000
0.25 × 1000
Multiply the numbers
250
250
Answer:250
Step-by-step explanation:
25% of 1000
25/100 x 1000
(25x1000)/100
25000/100=250
Riley is solving a problem to find the number of tents comma sleeping bags comma and backpacks that she should order. She wrote a system of equations and solved the system. She found that her general solution was (x comma y comma z )equals (15 minus 3 z comma 20 plus 2 z comma z )How many solutions are there to her problem?
Answer:
6
Step-by-step explanation:
If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.
In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...
(x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}
There are 6 solutions to her problem.
A dietician believes that people who eat a high-fiber cereal as part of their breakfast will consume, on average, fewer calories at lunch than people who do not eat a high-fiber cereal as part of their breakfast. To test this claim, he measured the lunchtime calorie intake of 49 adults who did eat a high-fiber cereal for breakfast on a given day (group 1). For those individuals, the average number of calories consumed at lunch was 609.86, with a standard deviation of 55.96 calories. He also measured the lunchtime calorie intake of 78 adults who did not eat a high-fiber cereal for breakfast on a given day (group 2). For those individuals, the average number of calories consumed at lunch was 641.02, with a standard deviation of 109.14 calories. The dietician wishes to test this claim at the 5% significance level.
If Welch's two-sample test for equality of means is used, then what is the value of the test statistic tobs, rounded to two decimal places?
Answer:
The calculated value Z = 1.8368 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
The samples have been drawn from the same Population
Step-by-step explanation:
Step(i):-
Given first sample size 'n₁' = 49
Mean of the first sample 'x₁⁻ = 609.86
Standard deviation of the sample S₁ = 55.96 calories
Given first sample size 'n₂' = 78
Mean of the first sample 'x₂⁻ = 641.02
Standard deviation of the sample S₂ = 109.14 calories
Step(ii):-
Null hypothesis : H₀: x₁⁻ = x₂⁻
Alternative Hypothesis : H₁: x₁⁻ ≠ x₂⁻
Level of significance ∝ = 0.05
Test statistic
[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]
where
[tex]S.D^{2} = \frac{n_{1} S^2_{1}+ n_{2} S^2_{2} }{n_{1} + n_{2} -2}[/tex]
[tex]= \frac{49 X (55.96)^2+ 78X(109.14)^2 }{49 + 78 }[/tex]
σ² = 8660.357
Step(iii):-
Test statistic
[tex]Z = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S.D^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }[/tex]
[tex]= \frac{ 609.86-641.02 }{\sqrt{8660.357(\frac{1}{49 } }+\frac{1}{78 } ) }[/tex]
[tex]Z = \frac{-31.16}{16.9638} = -1.8368[/tex]
|Z| = |-1.8368| = 1.8368
The tabulated value Z₀.₉₅ = 1.96
The calculated value = 1.8368 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Final answer:-
The samples have been drawn from the same Population
Will mark brainlist and give extra points bth grade math
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
When plotting points on the coordinate plane below, which point would lie on the y-axis?
(0, 1)
(7, 0)
(6, 8)
(8, 2)
Answer:
(0,1)
Step-by-step explanation:
i got it right
Write the expanded form of h(3k-12.4)
Answer:3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h x 3k - h x 12.4
3hk - 12.4h
I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hundred thirty dollars. How much money do I have presently?
Answer:
$118.22
Step-by-step explanation:
Subtract $130.00-$8.00= $122.00
Then subtract $122.00- $3.78 = $118.22
Answer:$118.22
Step-by-step explanation:
the tennis shoes costs 8 dollar less than 130 dollars
Tennis shoes cost=130-8=122
Tennis shoes cost $122
I need $3.78
My money presently=122-3.78
My money presently=$118.22
The value of a car with an initial purchase price of $18,250 depreciates by
11% per year.
Step-by-step explanation:
This problem on depreciation of price.
Given data
initial price = $18,250
rate of depreciation = 11%
to solve for the new price we must find 11 percent of the initial price (depreciated value) and subtract from the initial price, we have
depreciation=
[tex]\frac{11}{100} *18250\\0.11*18250= 2007.5[/tex]
Hence the depreciation= $2007.50
the new amount is [tex]= initial amount - depreciation[/tex]
[tex]=18250-2007.50\\= 16242.50[/tex]
the new amount is $16242.50
A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc
Answer:3.3
Step-by-step explanation:
Circumference=8
Φ=288
π=3.14
Radius=r
Circumference=2 x π x r
8=2 x 3.14 x r
8=6.28 x r
Divide both sides by 6.28
8/6.28=(6.28 x r) /6.28
1.3=r
r=1.3
Length of arc =Φ/360 x 2 x π x r
Length of arc =288/360 x 3.14 x 1.3
Length of arc =0.8 x 3.14 x 1.3
Length of arc =3.3
Answer:32/5
Step-by-step explanation: did it in khan
40/50 to a simpel fraction
Answer:
4/5
Step-by-step explanation:
just divide by 10 since that's the largest number that both numbers can equally be divisible by
Answer:
4/5 because 40/50 simplified is 4/5 bc you knock off the zeros for question like that
Step-by-step explanation:
There were 15 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 from a set of 15. So
[tex]P_{(15,3)} = \frac{15!}{(15-3)!} = 2730[/tex]
The area 2730 possible arrangements of first, second, and third place.
ivana has 5.50 luc has 1.4 times as much as ivana, how many indian rupees would ivana get if the value of rupees are 61.92 per dollar rate
How many even numbers are in a 428 paged book?
Answer:214
Step-by-step explanation:
428 divided by 2. Half of the pages are even, half of 428 is 214
Answer:
214
Step-by-step explanation:
just divide the number of pages with 2
Simplify.
2567 · 162
Answer:
151 * 17 * 3^4 * 2
Step-by-step explanation:
2567 | 17
151 | 151
1
162 | 2
81 | 3
27 | 3
9 | 3
3 | 3
1
Answer:
415854.
Step-by-step explanation:
A multiplication.
Using a calculator it is:
415854,
