the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.
Given, the members of the junior varsity swim team wear glasses is 55%.
And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.
Let the total no. of members be x.
So, the members of the junior varsity swim team wear glasses (55%),will be
[tex]0.55x[/tex].
The total number of members not wearing glasses, will be
[tex]x - 0.55 x = 0.45 x[/tex].
Now, the no. of members not wearing glasses and in 10th grade will be,
[tex]\frac{0.45x\times30}{100} =0.135x[/tex]
We know that the probability of an event E, P(E) will be,
[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]
So, the probability for no. of members not wearing glasses and in 10th grade will be,
[tex]P(E)=\dfrac{0.135x}{x}[/tex]
[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]
Hence the nearest whole percent of probability is 14%.
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9. An expression is subtracted from 2p+9q + 100 to get –5p + 7q + 50. What is that expression?
Answer:
-3p + 16q + 150
Find the value of the variables.
Answer:
d=8√2 = 11.31
x=3√3 = 5.20
y=6√3 = 10.39
Step-by-step explanation:
d²=8²+8²
d²=64+64
d²=128
d=√128
d=√64*2
d=8√2 = 11.31
30-60-90 triangle
x-x√3-2x
x√3=9
x=9/√3
x=3√3
y=2x
y=2 * 3√3
y=6√3
How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?
A. One
B. Two
C. Infinite
D. Zero
Answer:
D) Zero solutions
Step-by-step explanation:
9 - 5x = 8 - 3x - 1 - 2x
9 - 5x = 7 - 5x
9 = 7
Zero solutions
i took the quiz its D. Zero
0.2(3m − 6) + m = 2 for 8th grade
Answer:
2
Step-by-step explanation:
0.6m-1.2+m=2
1.6m-1.2=2
1.6m=3.2
m=2
Which pairs of angles are alternate interior angles? Select all that apply.
A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8
PLEASE HURRY!!
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)
No, it cannot because −4.5 lies to the left of −3.5.
No, it cannot because −4.5 lies to the right of −3.5.
Yes, it can, because −4.5 lies to the right of −3.5.
Yes, it can, because −4.5 lies to the left of −3.5.
If you get the best answer I will mark you as brinitlylist
if 2 people answer
Answer:
Yes, it can, because -4.5 lies to the left of -3.5
Step-by-step explanation:
we know that
The solution of the inequality is equal to the interval------> (-∞,-3.5)
All real numbers less than -3.5
x<-3.5
Substitute in the inequality
-4.5<-3.5 ------> is true
therefore
The number -4.5 is a value in the shaded region, because lies to the left of -3.5
Which graph or graph shows a proportional relationship
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?
Answer:
the domain is:
{
−
3
,
0
,
1
,
6
}
the range is:
{
2
,
3
,
4
,
−
6
,
4
}
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation:
{
(
−
3
,
2
)
,
(
0
,
3
)
,
(
1
,
4
)
,
(
1
,
−
6
)
,
(
6
,
4
)
}
:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
{
−
3
,
0
,
1
,
6
}
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
{
2
,
3
,
4
,
−
6
,
4
}
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Answer:
the domain is: { − 3 , 0 , 1 , 6 }
the range is: { 2 , 3 , 4 , − 6, 4 }
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is: {− 3 , 0 , 1 , 6 }
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is: { 2 , 3 , 4 , − 6, 4 }
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Have a good day/night!
Palawbhehrht awnser yes or mo
Answer:
yes
Step-by-step explanation:
PLZ HELP
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle.
15,17,21
Not a triangle
A cute
Right
Obtuse
3,9,10
Not a triangle
Acute
Right
Obtuse
Answer:
It is an acute scalene triangle
Step-by-step explanation:
All angles are acute, making it an acute triangle
scalene because all sides are different lengths
the sum of two numbers is 30. the difference one the two numbers is 4
Answer:
20+10 is 30 5x6 is 30
Step-by-step explanation:
so just add numbers to find 30
Answer:
first number is 17 and second number is 13
Step-by-step explanation:
let the numbers are x and y
if their sum is 30 and difference is 4
then
x+y=30 --------------1equation
x-y=4 -----------2equation
add both the equations,
2x=34
x=17
then
put the value of x in 1equation,
x+y=30
17+y=30
y=30-17
y=13
then,
first number is 17 and second number is 13
What is the reciprocal of 3 1/3
Answer:
3/10
Step-by-step explanation:
make 3 and 1/3 to an improper fraction (3 multiplied by 3 plus 1) which is 10/3. the reciprocal is 3/10
Answer:
0.3
Step-by-step explanation:
Have a great day!
help with my math please
Answer:
j mmmmmmm
Step-by-step explanation:
mmmmmmmmm
can someone help with this
[tex]R.H.S\\\\=(a+b)(a^3-a^2b-ab^2+b^3)\\\\=a^4-a^3b-a^2b^2+ab^3 + ba^3-a^2b^2-ab^3+b^4\\\\=a^4+b^4-2a^2b^2\\\\\neq a^4 +b^4\\\\\\\text{Hence, }(a+b)(a^3-a^2b-ab^2+b^3) =a^4+b^4 ~ \text{is not true.}[/tex]
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?
100 miles
170 miles
180 miles
160 miles
Answer:
None of the answer choices show the correct answer.
The actual answer is 140 miles.
Step-by-step explanation:
Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.
60 * 2 = 120
Cooper then drove for another 30 minutes at a speed of 40 miles per hour.
30 minutes is half of and hour so we need to divide the 40 miles by 2.
40 / 2 = 20
Now we just have to add them together.
120 + 20 = 140
So the answer is 140 miles.
Hope this helps! :)
૮ ・ﻌ・ა
Can someone plz help me?
Answethe answer is 12
Step-by-step explanation
Answer:
13 i think
Step-by-step explanation:
if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13
solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9
Answer:
g = 2.5
Step-by-step explanation:
0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides
0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )
0.4g + 0.4 = - g + 3.9 ( add g to both sides )
1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )
1.4g = 3.5 ( divide both sides by 1.4 )
g = 2.5
6 quarts = __ fluid ounces. Explanation
Answer:
192
Step-by-step explanation:
What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.
I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?
Answer: 13.5 bags
Explanation:
5 3/8 = 43/8
3 5/8 = 29/8
43/8 + 29/8 = 9
9 divided by 2/3 is 13.5
Hope this helps :)
Answer:
[tex]13 \frac{1}{2} [/tex]
Step-by-step explanation:
So first we can add the two snack together
So the
[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]
Once we have that we can say 9÷2/3
And this will give us 13.5 or 13 and a half.
I really hope this helps
-233.2 - 25.8
Please help.
Answer:
-259
Step-by-step explanation:
brainliest
Answer:
-259
Step-by-step explanation:
Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.
When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.
Subtracting Negative and Positive Integers
To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive.
Example: 14 - (-6) = 14 + 6 = 20
If both signs are negative, the answer will be negative.
Example: -14 - (+6) = -14 - 6 = -20
If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.
Example: 14 - (+6) = 14 - 6 = 8
Example: -14 - (-6) = -14 + 6 = -8
Which situation would use the midpoint formula?
a-Calculate the distance from Trenton to Jackson using a map.
b-Find the slope between two points.
c-Two friends live across town from each other. A park located in the center of town is the same distance from each friend. Find the location of the park when given the location of the each friend's house.
d-Locate the ordered pair (5,-2) on a coordinate plane.
(can chose more than one)
Answer:
A and C
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
5 kilometers in 30 minutes how many kilometers can she run in 45 minutes
8 kilometers
1 kilometer every 6 minutes
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same. Which of the following functions represents the new fees, N(h)?
Answer:
N(h) = 17.5h + 15
Step-by-step explanation:
N(h) = 8.75h + 15 | write original equation
N(h) = 8.75(2) + 15 | multiply the original hourly fee by 2
N(h) = 17.5 + 15 | solve
Stay healthy and happy <3.
Hope this helped.
The required function represents the new fees is given as N(h) = 17.5h + 15.
Given that,
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
C(h) = 8.75h + 15.
Now,
According to the question,
N(h) = 2× 8.75h + 15.
N(h) = 17.5h + 15.
Thus, the required function represents the new fees is given as N(h) = 17.5h + 15.
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The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
a) Find the percentage discount
Answer:
c. $28.84
Step-by-step explanation:
C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84
priya found x=3 and x=-1 as solutions to 3x^2-6x-9=0. Is she correct sow how you know
Answer:
Step-by-step explanation:
| x | < 2
solve the inequality and then graph the solution
Answer:
Any number smaller than 2
Step-by-step explanation:
You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2