Arrange the numbers 53 , 62 and 27 in order from least to greatest.
27, 53, 62
53, 27, 62
62, 53, 27
62, 27, 53
Answers
Answer:
The answer is 27, 53, and 62
Step-by-step explanation:
This is the answer because 27 is the lowest and then 53 and then you have 62 because it is the biggest.
Answer:
27, 53, 62
...................
Related Questions
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Answers
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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11. Given a matrix A, what is A^1?
A=[0 12 0 1]
![11. Given a matrix A, what is A^1?A=[0 12 0 1]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/LbFvymBwKVJZBmXObGtowRZTOHnuQawv.jpeg)
Answers
\(\text{Since det(A) = 0, the inverse of the matrix does not exist.}\)
Can someone please help with my question?
Answers
The required line representing the rise and the run of the line is created.
And the slope of the line in its simplest form is 9/-18.
Given a line is represented on the graph.
we need to create lines representing the rise and run of the line.
To find the slope of the line we need to determine the rise and run of the line.
The slope of a line is defined as the rise divided by the run, or the ratio of the rise to the run. It gives information about a line's slope in the coordinate plane. Finding the slope between two separate places is comparable to calculating the slope of a line.
The coordinates of the points are:
(9,0) = (x₁ , y₁)
(₋9 , 9) = (x₂ , y₂)
we know that slope (m) = rise/ run
rise = y₂ ₋ y₁
= 9 ₋ 0
= 9
run = x₂ ₋ x₁
= ₋9 ₋ 9
= ₋18
hence the slope is 9/₋18
The required slope of the line is 9/-18.
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PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
Answers
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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What’s the quotient of 9 and r
Answers
Answer:
9/r______________________
Step-by-step explanation:
Solve the following radical equation.
√2x-3 =2
Answers
Answer:
First, we have to add 3 to both sides.
\(\sqrt{2x} - 3 + 3 = 2 + 3\)
Then we simplify the equation,
\(\sqrt{2x} = 5\)
Divide both sides of the equation by \(\sqrt{2}\)
\(\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}\)
Finally, simplify.
\(x = \frac{5\sqrt{2}}{2}\)
Therefore, our answer is \(x = \frac{5\sqrt{2}}{2}\)
3.5
Step-by-step explanation:
square means 1/2.so,1/2(2x-3)=(2)^2
then square cancel by square. 2x-3=4
2x=4+3, 2x=7then divided by 2.
x=3,5
If 1/3 of a pound of jellybeans is shared equally between 3 brothers, how many pounds of jellybeans each brother received
Answers
Answer:
1/9 lbs
Step-by-step explanation:
1/3 ÷ 3
covert whole number to fraction
1/3 ÷ 9/3
copy dot flip
1/3 × 3/9
3/27
1/9
What’s 4/5 - 9/12 need it in a reduced fraction
Answers
Answer:
Step-by-step explanation:
4/5 - 9/12 = 48/60 - 45/60 = 3/60 = 1/20
One tablet is labeled 124 milligrams and another is labeled 0.5 milligrams. What is the total dosage of these two tablets?
Answers
Answer:
together they are 124.5 milligrams
Step-by-step explanation:
together they are 124 + 0.5 = 124.5 milligrams
I am struggling to find domain and range please help thank you
Answers
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.
a. What is the number of degrees of freedom that should be used for finding the critical value t a/2?
df=
(Type a whole number.)
Part 2
b. Find the critical value t a/2 corresponding to a 95% confidence level.
t a/2=
(Round to two decimal places as needed.)
Part 3
c. Give a brief general description of the number of degrees of freedom.
A. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values.
B. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values.
C. The number of degrees of freedom for a collection of sample data is the total number of sample values.
D. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.
Answers
The solution to the Question is given as
df= 49t critical value = 2.01The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values.What is the number of degrees of freedom that should be used for finding the critical value t a/2?a)
Generally, the equation for degrees of freedom is mathematically given as
df= n-1
Therefore
df= 50-1
df= 49
b)
For the critical value
Confidence interval= 95%
df= 49
Solving using a critical value calculator we have
t critical value = 2.01
c)
In conclusion, The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. Option D is correct
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A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answers
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
Answers
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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Cara earns money for her club by selling breakfast tickets (B) for $3 and lunch tickets (L) for $5. She wants to raise at least $500 for her club, and she
wants to sell fewer than 200 tickets.
Answers
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Evaluate each expression if w = 2, x = 3, y = 5, and z = 6.
1. 2w
2. y + 5
4. x+ w
7. y²
5. 3+ 4z
8. y - x
Fvaluate each evnreccion if m
n
3.9-2
6. 6y-5
Nov 30
Answers
2. 10
4. 5
7. 25
5. 27
8. 2
3. 7
6. 25
Hope this helped:))
plzzzzzzz solve the pic
Answers
Answer:
40 sq units
Step-by-step explanation:
It is made by multiple right triangles
5 x 4 = 20
20 / 2 = 10
so now we multiply by 4
10x4 = 40
40 sq units
Jamal cut a piece of wood that is 2 1/3 feet long into 1/6 foot sections. How many sections will he get
Answers
Answer:
14 sections
Step-by-step explanation:
2 1/3=7/3
7/3 divided by 1/6 is nothing but 7/3*6, which is just 14
1.5.2. You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let Gj denote the event that the roll is greater than j. Let E denote the event that the roll of the die is evennumbered. (a) What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
Answers
Answer:
What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
=0,02
Step-by-step explanation:
Sample Space for rolling a die, S(1,2,3,4,5,6]
Since all the outcomes are equally P( rolling any numebre)=1/6
G1=(2,3,4,5,6)
Hence P(G1) =P (R2)+P (R3)+P (R4)+P (R5)+P (R6)
Hence P(G1) =5/6
and R3= [3]
Hence G1 ∩ R3 = [3] = R3
Hence P(G1 ∩ R3) =P( R3) =1/6
What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
P(G1 ∩ R3) / P(G1) = (1/6)/ (5/6=
=0,02
Solve the triangle, if possible.
C=61° 50, c=31.2, b=23.6
Answers
a=34.697, only one triangle is formed.
And B=40°.7'
A≈77°.79'.So, option A is correct.
What is meant by triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.
Given,
C=61° 50, c=31.2, b=23.6
Sine rule:
sin B/b=Sin C/c
sin B=b sin C/c
=(23.6 sin 61° 50)/31.2
sin B=0.65219
sin B=139.3
A+B+C=180
A=180-B-C
A=180-139.3-61.50
A= -20.8 which is not possible.
Because the angle must be positive.
sin B=sin 40.70
A+B+C=180
A=180-40.70-61.50
A=77.79'
sin A/a=sin C/c
a=c sin A/sin C
So, a=34.697
Only one triangle is formed
And B=40°.7'
A≈77°.79'
Hence, option A is correct.
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\(\( y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t \)\)
Answers
The value of intergal \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.
The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) can be evaluated by first completing the square and then using the substitution method.
Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).
We can now make the substitution \(( u = 3 t^{2} -1 \)\)).
Differentiating, we get \(( du = 6t dt \)\)).
Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).
Solving the integral, we get:
\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)
Substituting back into the equation, we get the answer as:
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
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Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answers
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to the curve at the given point.
Answers
Answer:
4, -4, 16, 16, truetangent: x - y = 8normal: y = -xStep-by-step explanation:
You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.
PointThe point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.
(a) TangentThe tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...
m = y/x = -4/4 = -1
The tangent line's slope is the opposite reciprocal of this:
m = -1/(-1) = 1
The point-slope form of the equation for the tangent line is ...
y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)
y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)
x -y = 8 . . . . . . . . . . add 4-y to put in standard form
The equation of the tangent line is x - y = 8.
(b) NormalIn the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...
y -0 = -1(x -0)
y = -x
The equation of the normal line is y = -x.
__
Additional comment
The normal line can also be written as x + y = 0.
The tangent line can also be written as y = x -8.
<95141404393>
r= 9.7 m
Calculate the diameter of the circle
Answers
Answer:
19.4
Step-by-step explanation:
diameter= r2
9.7x2=19.4
Answer:
d=19.4m
Step-by-step explanation:
find the area of the shaded part given below where the diameter is 14 cm.
Answers
Answer:
area of sector = 49π/6 cm² ≈ 25.7 cm²
Step-by-step explanation:
area of sector = (n/360°)πr²
where n = central angle of sector, and r = radius of circle
Here, we have:
n = 60°
r = d/2 = 14 cm / 2 = 7 cm
area of sector = (60°/360°)π(7 cm)²
area of sector = (1/6)π(49 cm²)
area of sector = 49π/6 cm² ≈ 25.7 cm²
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answers
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
Answers
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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amanda has 5 pairs of knee high socks and 5 pairs of crew socks in her drawer.If she picks a pair at random, what is the probability that it is a pair of knee high socks.
Answers
Answer:
50%
Step-by-step explanation:
There are a total of 5 + 5 = 10 socks
Knee high socks = 5
=> 5/10 = the probability of getting knee high socks
=> 1/2
=> 50%
Answer:
1/2
Step-by-step explanation:
5 pairs of knee high socks and 5 pairs of crew socks= 10 pairs of socks
P ( knee high) = number of knee high/ total
= 5/10 = 1/2
Evaluate both the upper and lower limit of f(x) = 2x over [0,2] for n = 10,100,1000
Answers
We can solve both limits by using Riemann sums, which is represented by the following:
\(\lim _{n\to a}\sum ^n_{i=1}f(x_{i-1})\Delta x,\text{ where }\Delta x=\frac{b-a}{n}\)Then, for our function:
\(undefined\)Simplify -a -(a-b)
Answers
Answer:
b
Step-by-step explanation:
-a-(a-b)
Distribute the negative sign to get -a+a+b
-a cancels out a, and you're left with b.
Answer:a²-ab
Step-by-step explanation:
since the negative symbol is on the outside of the parenthesis all values inside the parenthesis get reversed. so:
-a(-a+b)
Then multiply by -a:
a²-ab
Certain investments compound interest at different intervals. What effect does the size of the compounding interval have
on the yield of the investment?
a. Investments with smaller compounding intervals have a higher yield, because the interest
earned is reinvested more quickly and thus gains compound interest more quickly.
b. Investments with smaller compounding intervals have a lower yield, because the interest earned
is smaller at each interval.
c. The size of the compounding interval does not affect the total yearly interest percentage rate and
only exists for bookkeeping purposes.
d. Investments with smaller compounding intervals have a lower yield, because the bank charges
a small fee every time interest is compounded.
Answers
Answer:
Option A: Investments with smaller compounding intervals have a higher yield, because the interest earned is reinvested more quickly and thus gains compound interest more quickly
Step-by-step explanation:
Compounding could be done monthly, quarterly, semiannually or annually. Compound interest is simply when we add the interest to the principal sum of a loan or amount deposited. It's also referred to as interest which is accrued on interest.
The compound interest that will be earned mainly depends on the frequency of compounding. Now compounding could be done monthly, quarterly, biannually or annually. Now, If we compound monthly, we will have a higher interest return than if we compounded annually.
Thus, looking at the options, the correct one is Option A
Answer:
a
Step-by-step explanation: