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Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?.
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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%.
For more details on probability follow the link:
https://brainly.com/question/795909
Help me
22 + 33 - 44 = ?
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Answer:
22 + 33 = 55
55 - 44 = 11
hence 11 is the answer
Answer:
11 luv:)
Step-by-step explanation:
Given 7x + 2 > 58, which number is not in the solution set?
1) 6
2) 8
3) 10
4) 12

Answers
Answer:
option 1
Step-by-step explanation:
7x + 2 > 58 ( subtract 2 from both sides )
7x > 56 ( divide both sides by 7 )
x > 8
So only values greater than 8 are in the solution set
6 is not greater than 8, then is not in the solution set
If for an A. P d = -4 then t20 - t15 is what?
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Step-by-step explanation:
[tex] - 20 \: is \: your \: answer[/tex]
Supposition of Terms in an A.P.(1) Three terms as : a -d, a,a + d .(2) Four terms as : a -3d , a - d , a + d , a + 3d .(3)Five terms as : a -2d , a - d , a , a+ d, a + 2d.To know the solution with Proof
Refer To the above attachment .
Hope this helps you !! Carry on learning!!can someone please help me, i need the help?
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Answer:
[tex]f(x)\div g(x)=x-10[/tex]
Step-by-step explanation:
[tex]\frac{x^2-19x+90}{x-9}[/tex]
[tex]\frac{(x-10)(x-9)}{x-9}[/tex]
[tex]x-10[/tex]
Answer:
[tex]f(x)\div g(x)=-10[/tex]
Step-by-step explanation:
Solve [tex]f(x)[/tex]
[tex]f(x)=x^2-19x+90[/tex]
[tex]x^2-19x+90[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]
[tex]=x(x-9)[/tex]
[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]
[tex]=-10(x-9)[/tex]
[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]
[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]
Solve [tex]g(x)[/tex]
[tex]g(x)=x-9[/tex]
[tex]\bold{x-9}[/tex]
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
Now, solve:
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]
[tex]= -10[/tex]
Therefore, [tex]f(x)\div g(x)=-10[/tex]
2(6)-2x=3
CN someone answer? Use distributive property
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Answer:
I think this is what you want:
2(6)-2x=3
We then see that 2(6) and 2(x) have two in common as a "coefficient" you could say, so we distribute and put parentheses around it.
2(6-x)=3
6-x=3/2
-x=-9/2
x=9/2
help? please and thanks
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None of the other ones make sense because in the first equation it isn’t either or, it has both multiplication and addition, not one or the other. Plus you are distributing the 9 into 2 and 6.
what is the answer to this problem ( 1/5)² (3+2+5²)
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asap please
what is the slope of the following line
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Its 1/-2, or in other words it is -(1/2), so it would be the third option you have there.
Your welcome! :D
Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?
Answers
Answer:
Shelly slept 232 hours and 30 minutes in the month of January
Step-by-step explanation:
31 days in January, so the equation will be
31 x 7.5 ( I wrote 0.5 because 30 minutes is half a day)
= 232.5 hours
Shelly slept 232 hours and 30 minutes in the month of January
Answer:
232.5 hours
Step-by-step explanation:
Well, the month of January has 31 days.
If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!
7.5*31=232.5 hours!
evaluate 5(ax4)+b,
when a=1/3 and b=12
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you just need to put the values of a and b where they have to be
.
hope I helped!
The graph shows how many sheets of paper a paper folding machine can fold in a certain number of minutes. Choose one ordered pair on the graph. What does it represent in this situation?
Answers
Answer:
(40, 6000) = 6000 sheets folded in 40 minutes
Step-by-step explanation:
Each point on the graph represents ...
(minutes, sheets folded)
The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.
Please help me with this
Answers
Answer:
y = 2x
Step-by-step explanation:
A direct proportion follows the equation:
y = kx,'where k is the slope.
We see in the graph the points (0, 0) and (1, 2).
The slope is (2 - 0)/(1 - 0) = 2/1 = 2
The formula is y = 2x.
Answer: y = 2x
Answer:
y=2x
Step-by-step explanation:
When using slope intercept find the slope using either the graph or points on the line and that get you the 2 that in front of x.
the formula means that 2 units of dough are prepared in every hour
PLs help me 30 points in total
Answers
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
The button on Jack's pants has a diameter of 8 millimeters. What is the button's circumference?
Use 3.14 for n.
millimeters
.
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please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
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Answer:
The answer would be A
Step-by-step explanation:
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
27 subtracted from a number can be written as?
Answers
Answer:
example : 100- 27= 73
Step-by-step explanation:
you take a number and then subtract by the number that you were given. I hope this helps!!
Answer:
27 - x (expression that it can be written as)
I need help. What is the slope?
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Ok done. Thank to me :>
53 1/3 in the form 53^n where n is a whole number
Answers
Patrick took out a loan for $500 at 4.2% simple interest. If he pays it back in 2 years, how much interest will he have to pay?
Answers
Answer:
Simple Interest = $542
Compound Interest = $542.88
Step-by-step explanation:
what do you do to multiplay 100
x 300
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Answer: 30000
Step-by-step explanation:
[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]
Need NOW PLEASE.....
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Answer:
8-(-8) = 8+8
8-8 = 8+(-8)
-8-(-8) = -8+8
-8-8 = -8+(-8)
10-9 = 10+(-9)
10-(-9) = 10+9
Step-by-step explanation:
Remember that if the signs are equal +,+ or -,- , they are positive (+)
if the signs are different like +,- or -,+ then they are negative (-)
this states that you can multiply the addends of a number and then add the products.
Answers
Answer:
Distributive Property
Step-by-step explanation:
This is my best guess because you didn't put the topic or give an more information.
Find the quotion 19.00/
16
Answers
Answer:
1.1875
Step-by-step explanation:
19.00/16 is =1.1875
125 divided by 100 I have to make corrections
Answers
Answer:
1.25
Step-by-step explanation:
125/100 = 1.25
Answer:
it's 1.25
Step-by-step explanation:
125 ÷100 = 1.25
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
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Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say
1 = 400 meters / 1 lap.
This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):
8 laps * 1 = 8 laps * 400 meters / 1 lap
Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:
8 laps = 3200 meters
Please help! If possible please show your work :D Thank you!
Solve.
Answers
Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms
4.1 Pull out like factors :
10x + 36 = 2 • (5x + 18)
Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:
5.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 5x+18 = 0
Subtract 18 from both sides of the equation :
5x = -18
Divide both sides of the equation by 5:
x = -18/5 = -3.600
Calculate the average of the numbers shown22,48,11 ,34,5
Answers
Answer:24
Step-by-step explanation:
22+48+11+34+5=120
120/5=24
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.
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Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
https://brainly.com/question/14265399
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
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Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation: