Answer:
8
Step-by-step explanation:
Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.
In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.
So, estimating 245 as 240 and 3 as 30.
Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.
We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.
Then we add on the zero if there were left in the problem to get your estimate.
Therefore,
240 / 30 = 8
So here, the quotient is estimated as 8.
A company sells an insurance policy against losses incurred during travel for $15. 40,000 customers buy the insurance policy. The policy pays the full amount claimed up till $5,000. Most policy holders claim nothing, the rest either $500 or $5,000. Each customer has the following probabilities of claiming a certain amount for damages, independent of the other customers.
Claim $0 $500 $5,000
Probability 99% 0.8% 0.2%
Estimate the probability that the company makes a positive net profit across the 40,000 contracts.
The square of a number is 3 less than four times the number. Which values could be the number? 0 0 -3 O 1
Answer:
3 and/or 1.
Step-by-step explanation:
Answer:
1, 3
Step-by-step explanation:
1^2 = 1
1 x 4 = 4
4-1 = 3
3^2 = 9
3 x 4 = 12
12-9 = 3
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
Write the recurring decimal 0.67
as a fraction
2/3 I hope this helps!! :3
The figure below shows a line graph ad two shaded triangles that are similar
is 1/10, 1/4, and 1/8 more or less than 1/2
Answer:
They are less than 1/2
Step-by-step explanation:
Help me with both questions please please help!
Answer:
we need to know whats given above can you show us a picture of the table above?
Step-by-step explanation:
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
Learn more about set operations here
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the math club has 18 members and 50% are girls. the science club has 25 members and 40% are girls. the principal wants to know which club has more girls. how many girls are in the math club? how many girls are in the science club?
Help please!!!!!!!!!!
Answer:
6/9
Step-by-step explanation:
Answer:
6/9
Step-by-step explanation:
i took the test
The lengths of the sides of a triangle are 12,6 V3 and 6. Classify this triangle,
A)
right, scalene triangle
B)
acute, scalene triangle
o
obtuse, scalene triangle
D)
right, isosceles triangle
Answer:
right,scalene triangle
−
1
+
−81
−
16
−
−1
Answer: it is -97
Step-by-step explanation:
because you break it down
-1-81-16+1 ( and the -- turns into a + )
( get rid of the + )
The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 52,500 GB of memory and at least 12,700 TB of disk space. If both the Pomegranate and the iZac cost $2,200 each, how many of each should the school buy to keep the cost as low as possible?
Answer:
90 Pomegranate and 55 iZac
Step-by-step explanation:
Represent Pomegranate with p and iZac with i
The data can be represented in the following table.
[tex]\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}[/tex]
The table can be represented as follows:
[tex]400p + 300i = 52500[/tex] --- (1)
[tex]80p + 100i = 12700[/tex] ---- (2)
Multiply equation (2) by 3
[tex]3 *\ ([/tex][tex]80p + 100i = 12700[/tex][tex])[/tex]
[tex]240p + 300i = 38100[/tex] ---- (3)
Subtract (3) from (1)
[tex]400p - 240p + 300i - 300i = 52500 - 38100[/tex]
[tex]160p = 14400[/tex]
Divide both sides by 160
[tex]p = 90[/tex]
Substitute [tex]p = 90[/tex] in (2)
[tex]80p + 100i = 12700[/tex]
[tex]80 * 90 + 100i = 12700[/tex]
[tex]7200 + 100i = 12700[/tex]
Collect like terms
[tex]100i = 12700 - 7200[/tex]
[tex]100i = 5500[/tex]
Divide by 100
[tex]i = 55[/tex]
So;
[tex]p = 90[/tex] and [tex]i = 55[/tex]
Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.
Answer:
Step-by-step explanation:
a 30-60-90 right triangle is a right triangle because of the 90
the 30 and the 60 have to make 90 too since traingles make 180
30 + 60 + 90 = 180
so 30-60-90 is a right triangle.
Right triangles also can use pythagoran theorem, so the angle ratio is
30-60-90
but the side ratio is
a² + b² = c²
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100
what is this math question answer 48=a+20
Answer:
a=28
Step-by-step explanation:
a+20=48
a=48-20
a=28
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
Pls this one more i will 20 point
Answer:
u dont have a question attached
Step-by-step explanation:
An electrical shop reduces display goods by 5% .A display TV is sold for £380. what is the usual price of the tv
Answer:
380-5%
Step-by-step explanation:
Answer:
£399
Step-by-step explanation:
personally its easier to find 1% first then multiply it by how many percent are needed to be found.
380/100=1%
380/100=3.8
3.8x5=5%
3.8x5=19
380+19=usual price
380+19=199
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
---
hope it helps
ben positions his ladder against a wall so that the top of the ladder is 15 feet above the ground. about how long is his ladder?
A. 16.2 feet
B. 18.6 feet
C. 10.5 feet
D. 21 feet
Answer: 16.2 ft
Step-by-step explanation:
Using the Pythagorean theorem, if we let the length of the ladder be x,
[tex]6^{2}+15^{2}=x^{2}\\\\261=x^{2}\\\\x=\sqrt{261} \approx \boxed{16.2 \text{ ft}}[/tex]
What's is another name for m? Y = mx
Step-by-step explanation:
it's slope intercept form
Answer:
slope (I think)
Step-by-step explanation:
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)
Answer:
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.18
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.18\frac{3.4}{\sqrt{13}} = 2.06[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94
The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
HURRY I NEED THE ANSWER
Answer:
i think it's the 2th one not sure tho
Solve this using substitution method. Many many thanks
Answer:
y=2 and x=1
Step-by-step explanation:
sub 2 into 1
3(15-7y) + 4y= 11
45 - 21y +4y =11
-21y+4y= 11-45
-17y= - 34
y=2
Therefore sub y into x equation
x=15-7(2)
x= 1
Answer:
3x + 4y = 11
x = 15 -7 y
3 (15-7y) = 11
45 - 21y + 4y = 11
45 - 17 y = 11
-17 y =11 -45
-17y ÷ -17 = -34 ÷ -17
y = 2
x = 15 - 7y
x = 15 - 7(2)
x = 15 - 14
x = 1
there for y = 2 and x = 1 is the solution
Help! See the picture below
Answer:
12=12, so I believe your answer would be yes. I hope this helps.
Step-by-step explanation:
(4,10)
y = 3x - 2
10 = 3(4) - 2
10 = 12 - 2
+2 +2
12 = 12
What is 6 cups divided equally into four containers
Answer:
6x4=24 it's either this one or the one on top
Can you please help me
Answer:
Is B
Step-by-step explanation:
the vertex is 0,0
Axis of symmetry :x=-1
directrix y=-1
-2,1
-1,1/4
0,0