Answer:
6
Step-by-step explanation:
Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 8 . Subtract 48 from 48 . The result of division of 48÷8 48 ÷ 8 is 6
The required, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
To divide 49 by 8, you can use long division to find the quotient.
Determine how many times the divisor (8) can fit into the new number (49). In this case, 8 goes into 49 six times. Subtract the result (48) from the number you brought down (49). 49 - 48 = 1. Write the result (1) below the line.
6
_______
8 | 49
- 48 (8 times 6)
______
1 (Remaining 1 after subtracting)
Therefore, 49 divided by 8 gives 6 as the quotient and 1 as the remainder.
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The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.
The question is incomplete. Here is the complete question.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.
Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is
[tex]p=\frac{46}{450}[/tex]
p = 0.102
At 95% confidence, z-score is 1.96.
Standard deviation for sample proportion is calculated as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
For this sample, it will be
[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]
[tex]\sigma=\sqrt{0.0002}[/tex]
[tex]\sigma=0.01414[/tex]
Interval is calculated as
p ± zσ
Then
0.102 ± 1.96(0.01414)
0.102 ± 0.028
Interval is 0.074 < p < 0.13
What confidence interval means is that with a certainty of 95%, we are confident that the true population proportion of students who attend private schools are between 0.074 and 0.13.
How much is 20% off of $90.75?
6. Find the ICM of 60 and 400
Answer: it's 1200
Step-by-step explanation: please give me brainliest
400x3=1200
60x20=1200
solving the systems of linear equations by substitution.
x+2y=6
5x+2y=18
A cone has a base area of 20 m and a volume of 160 m. Find the height of the cone
Given:
Base area of cone =20 m²
Volume of the cone = 160 m³
To find:
The height of the cone.
Solution:
We know that, the volume of a cone is
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the height of the cone.
Putting V=160 and B=20, we get
[tex]160=\dfrac{1}{3}(20)h[/tex]
[tex]480=20h[/tex]
[tex]\dfrac{480}{20}=h[/tex]
[tex]24=h[/tex]
Therefore, the height of the cone is 24 m.
Show work
4.87 x 7.23
Answer:
Step-by-step explanation:
Here are your workings
4.87 x 7.23 simplify
Step 2
(4.87)(7.23) Add brackets(Optional)
Then you multiply the two exponents to get 35.2101
Your answer would be 35.2101
Solve For X. Please add an explanation.
Answer:
Your answer is 2.5
Hope that this is helpful. Vote and like it
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
the mean of four numbers is 9 what is the total of the four numbers?
Answer:
36
Step-by-step explanation:
36/4 = 9 wish this helps!
Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65. How many dollars would he get at this rate for recycling 200 pounds of cans?
Answer:
$354
Step-by-step explanation:
first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.
so I divided 43 by 23.65 and got 1.81818181
i'll round that to $1.82 so that equals 1 lb of a can
multiply that by 200
the answer is $354
For recycling 200 pounds of cans, he will get $110.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65.
For 43 pounds, he recieved $23.65
For 1 pound, he will receive $(23.65/43)
For 200 pounds, she will receive $(23.65/43) x 200 or $110.
Therefore, for recycling 200 pounds of cans, he will get $110.
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if someone could explain this to me :((
Answer:
A) (0,2)
Step-by-step explanation:
The Y-Intercept is where the line on the coordinate plane meets the y axis which in this case is 2
Answer:
A. (0, 2)
Step-by-step explanation:
So first things first, you will want to either put the line on a graph by hand or, in a graphing calculator, I recommend DESMOS
the table is a set of coordinates so
(-4, -18) (-2.5, -10.5) (-.4, 0) (0, 2) (2, 12)
Then you'll put these coordinates into a graph and the point you see touching the y-line is your answer, (0, 2)
hope this helps!!
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}
Function?
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
Express 29/100 as a decimal
Answer:
Step-by-step explanation:
Since there are 2 digits in 29, the very last digit is the "100th" decimal place. So we can just say that . 29 is the same as 29/10
Answer:
0.29 = 29/100
Explanation:
If R is the midpoint of PS with PR=6x+16 and RS=-26 then find PS
Answer:
PS = 116
Step-by-step explanation:
Given:
PR = 6x + 16
RS = 12x - 26
Required:
Find PS
Solution:
Since R is the midpoint of PS, therefore,
PR = RS
6x + 16 = 12x - 26
Collect like terms
6x - 12x = -16 - 26
-6x = -42
Divide both sides by -6
x = -42/-6
x = 7
✔️PS = PR + RS (segment addition postulate)
PS = 6x + 16 + 12x - 26
Plug in the value of x
PS = 6(7) + 16 + 12(7) - 26
PS = 42 + 16 + 84 - 26
PS = 116
Jeromes credit card has an APR of 18% calculated on the previous monthly balance and a minimum payment of 2% starting the month after the first purchase his credit card record for the last seven months is shown in the table below what is the total amount that Jerome has paid in interest over the seven months
Answer:
$194.54!!
Step-by-step explanation:
Answer:
65.18
Step-by-step explanation:
50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it
Answer:
Bbc
Step-by-step explanation:
Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:
Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.
Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?
Answer:
a.) P(duel end in round 1 ) = 0.892
b.) P(duel ends in the 3rd round) = 0.010
c.) P(duel ends in a draw) = 0.418
Step-by-step explanation:
Let
P(A) - Probability that Student A will hit the green.
P(¬A) - Probability that Student A will miss the green.
P(B) - Probability that Student B will hit the green.
P(¬B) - Probability that Student B will miss the green.
Given,
P(A) = 0.55 , P(B) = 0.76
As we know that,
P(A) + P(¬A) = 1
⇒P(¬A) = 1 - P(A)
= 1 - 0.55
= 0.45
⇒P(¬A) = 0.45
And
P(B) + P(¬B) = 1
⇒P(¬B) = 1 - P(B)
= 1 - 0.76
= 0.24
⇒P(¬B) = 0.24
So, we get
P(A) = 0.55 , P(B) = 0.76
P(¬A) = 0.45, P(¬B) = 0.24
a.)
P(duel end in round 1 ) = P( both hit on green or only one hit on green )
= P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]
= 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]
= 0.418 + [ 0.132 + 0.342 ]
= 0.418 + [ 0.474 ]
= 0.892
⇒P(duel end in round 1 ) = 0.892
b.)
P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )
= [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ] }
= [ 0.45(0.24) ] × [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }
= [ 0.108 ] × [0.108] × { 0.418 + [ 0.132 + 0.342 ] }
= 0.011664 × 0.892
= 0.010404 ≈ 0.010
⇒P(duel ends in the 3rd round) = 0.010
c.)
P(duel ends in a draw) = P(both students' shots land on the green)
= P(A).P(B)
= 0.55(0.76)
= 0.418
⇒P(duel ends in a draw) = 0.418
Is a coin flip random? Why or why not, in your opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
1
:
4
1:41, colon, 4
(Choice B)
B
4
:
10
4:104, colon, 10
(Choice C)
C
24
:
60
24:6024, colon, 60
(Choice D)
D
2
:
5
2:52, colon, 5
(Choice E)
E
10
:
24
10:24
Answer:
Its b,c,d
Step-by-step explanation:
Which of the following is a rational number?
square root of 79, square root of 80, square root of 81, square root of 82
Answer:
square root of 81.
Step-by-step explanation:
At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...
A.1/4
B.4/15
C.1/13
D.1/36
i think part of this question is missing between “at the city zoo” and “of the zoo.”
but i think the answer could be a.
because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.
Which inequality is true if p = 2.8?
Complete question :
Which inequality is true if p = 2.8?
3p < 10.2
13.6 ≤ 3.9p
5p > 17.1
8.5 ≥ 2.5p
Answer:
3p < 10.2
8.5 ≥ 2.5p
Step-by-step explanation:
To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :
3(2.8) < 10.2
8.4 < 10.2 ( true)
13.6 ≤ 3.9p
13.6 ≤ 3.9(2.8)
13.6 ≤ 10.92 ( False)
5p > 17.1
5(2.8) > 17.1
14 > 17.1 ( False)
8.5 ≥ 2.5p
8.5 ≥ 2.5(2.8)
8.5 ≥ 7 (True)
The moon is about 382,500 km away from earth. This distance actually varies by about 22,500 km. What are the maximum and minimum distances to the moon?
Answer:
225,623 miles (363,104 kilometers).
Step-by-step explanation:
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?
PLEASE ANSWER
Answer:
.........................................................................................................................................................................
Step-by-step explanation:
PLEASE ANSWER FAST I HAVE 30MINS!!!!!! Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
2
Step-by-step explanation:
abshxhdbxbjsbxbsbxnd
Pls help I need a good grade
Answer:
f= -14
Step-by-step explanation:
Answer:
f= -14
Step-by-step explanation:
what is the answer to this question
1/2 x -7=1/3(x-12)
Answer:
= 1 8 hope this helps!!! :)
Step-by-step explanation:
1 2 ⋅ −7 = 1 3 ( − 1 2 )
1 2 − 7 = 1 3 −1 2 )
1 2 − 7 = 1 3 − 1 2 )
Multiply by 1
Combine multiplied terms into a single fraction
Multiply by 1
Add to both sides of the equation
Answer:
x = 3/2 = 1 1/2 = 1.5
Step-by-step explanation:
1/2 x -7=1/3(x-12)
Multiply 1/2 and -7 to get -7/2
-7/2 = 1/3(x-12)
Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.
- 7/2 = 1/3(x-12)
Use the distributive property to multiply 1/3 by x−12.
-7/2 = 1/3x + 1/3(-12)
Multiply 1/3 and −12 to get -12/3
-7/2 = 1/3x + -12/3
Divide −12 by 3 to get −4.
-7/2 = 1/3x + 4
Swap sides so that all variable terms are on the left hand side.
1/3x -4 = -7/2
Add 4 to both sides.
1/3x = -7/2 + 4
Convert 4 to fraction 8/2
1/3x = -7/2+8/2
Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.
1/3x = -7+8/2
Add −7 and 8 to get 1.
1/3x = 1/2
Multiply both sides by 3, the reciprocal of 1/3
x = 1/2 x 3
Multiply 1/2 and 3 to get 3/2
x = 3/2
2+5x+1/2x^3dx
Answer
Answer:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Step-by-step explanation:
I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:
[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]
Sum rule tells us:
[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]
From this we get:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]
Don't forget to add the constant!
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
3/8x5/4 Helpppppp pls
Answer:
9/25 or .36
Step-by-step explanation: