In a class of 30 students, 20 take mathematics, 17 take physics and 2
take none of the two subjects. How many students take both
subjects?
There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1 3/5 of the girls play a musical instrument. 4/5 of the boys play a musical instrument. What fraction of the 60 children play a musical instrument?
Answer:
3/20
Step-by-step explanation:
There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1
Step 1
We find the number of girls and boys
The ratio is given as:
Girls : Boys
3:1
The sum of Proportion = 3 + 1 = 4
The number of girls
= 3/4 × 60 children
= 45 girls
The Number of boys
= 1/4 × 60 children
= 15 boys
Step 2
From the question, we are told:
3/5 of the girls play a musical instrument.
The number of girls that play Instruments is calculated as:
3/5 × Number of girls
= 3/5 × 45 girls
= 27 girls
4/5 of the boys play a musical
instrument.
The number of boys that play Instruments is calculated as:
4/5 × Number of boys
= 4/5 × 15 boys
= 12 boys
Step 3
The fraction of the 60 children that play a musical instrument is calculated as:
Sum of boys and girls that play a musical instrument/ 60 children
= 27 girls + 12 boys/60
= 39/60
= 3/20
The fraction of the 60 children that play a musical instrument is 3/20
Which ratio expresses the scale used to create this drawing? The post office has dimensions of 36 meters by 90 meters. A. B. C. D.
Answer:
2 : 5
Step-by-step explanation:
In order to obtain the ratio between numbers, we divide by the largest common factor between both.
In this question, the numbers are;
36 : 90
The largest common faction is 18. Dividing both numbers by 18, we have;
36 / 18 : 90 / 18
2 : 5
The ratio is; 2 : 5
2.4x-6=0 domain and range
Answer:
if you help me, i help you
Answer:
x = 2.5
Step-by-step explanation:
2.4x - 6 = 0
2.4x - 6 + 6 = 0 + 6
2.4x = 0 + 6
2.4x = 6
2.4x ÷ 2.4 = 6 ÷ 2.4
x = 6 ÷ 2.4
x = 2.5
Underline the prepositions in the sentences. 1. The bus shuttles between Delhi and Gurgaon. 2. The children ran across the bridge. 3. Towards evening, you can hear the frogs croak. 4. I dug the flowerbeds with a spade. 5. The mountaineer reached the peak with great difficulty.
Answer:
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.
Explanation:
Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.
The prepositions in the given sentences are underlined as follows-
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.
On a Map, 1 inch equals 48 miles. If the if the distance between two cities on a map is 2.5 inches how many miles apart are they
PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS
Answer:
120
Step-by-step explanation:
first, divide 48 by 2 since its 2.5. since theres a half. then you do 48+48+24. you double 48 and then add the half(which is 24) and that equals 120
hope this helpsss
Helppppp please (: and thank you
Answer:
5
Step-by-step explanation:
h(x) h(2)
h(x)=x^2-3. h(2)=2^2-3
g(h(2) g(h(2)=5
find a line that passes through (6,2) and is parallel to y=3x+2
Answer:
y=3x-16
Step-by-step explanation:
If it's parallel to the equation it means that it needs to have the same slope so the formation will be:
y=mx+b
substitute m for 3 (cause slope is same and m=slope)
y=3x+b
so now you have to substitute the coordinate point it passes through:
2=(3)(6)+b
...solve for b...
2=18 +b
b= -16
so your equation is y=3x-16
Please do the 3 questions show work if needed
Answer:
100-11=89
Step-by-step explanation:
A company that translates books between various languages is currently testing a computer-based translation service. The founder of the company expects the computer program to make some errors, but then so do human translators. The computer error rate is supposed to be an average of 2 per 500 words of translation. Suppose the company founder randomly selects a 3,000-word passage. Assume that the Poisson distribution applies and that the computer error rate is actually 2 errors per 500 words. Complete parts a through c.
a. Determine the probability that no errors will be found.
The probability is ___. Round to four decimal places as needed.)
b. Calculate the probability that more than 30 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
c. Find the probability that fewer than 15 errors will be found.
The probability is ___. (Round to four decimal places as needed.)
Step-by-step explanation:
this is the answer of this question
The probability that no errors will be found is 0.
The probability of finding more than 30 errors is 0.0001.
The probability of finding fewer than 15 errors is 0.9452.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The number of errors in a 3,000-word passage follows a Poisson distribution with a mean of 12 errors.
i.e
Since 3,000 is six times 500.
a)
The probability that no errors will be found.
P(X = 0) = [tex]e^{-12}[/tex] x [tex]12^0[/tex] / 0!
= 0.000006
Rounded to four decimal places.
= 0.0000.
b)
The probability of finding more than 30 errors.
P(X > 30) = 1 - P(X ≤ 30)
We can use a Poisson table.
P(X ≤ 30) = 0.9999.
P(X > 30) = 1 - 0.9999
= 0.0001
Rounded to four decimal places.
= 0.0001.
c)
The probability of finding fewer than 15 errors.
P(X < 15) = P(X <= 14)
= ∑(k=0 to 14) [tex]e^{-12}[/tex] x [tex]12^k[/tex] / k!
From the Poisson table.
P(X ≤ 14) = 0.9452
P(X < 15) = P(X ≤ 14)
= 0.9452
Rounded to four decimal places.
= 0.9452.
Thus,
The probability that no errors will be found is 0.
The probability of finding more than 30 errors is 0.0001.
The probability of finding fewer than 15 errors is 0.9452.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
is a type of bar graph to represent
grouped data
Answer:
A histogram is a bar graph that represents grouped data
Ursula rolls a regular
Six-sided die. How many
possible outcomes are
there?
1
outcome
2
outcomes
D
6
outcomes
8
outcomes
7.6A
A
Answer:
6
Step-by-step explanation:
cuz in a normal die there r 6 outcomes
Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 17 ) C. , ( 4, 17 ) D. ( 3, 8 ) D. , ( 3, 8 )
Answer:
B. ( –3, –4)
C. ( 4, 17 )
Step-by-step explanation:
Function: y = 3x + 5
Using method of elimination
A. (2, –1)
x = 2, y = -1
-1 = 3 (2) + 5
-1 ≠ 11
This option is incorrect!
B. ( –3, –4)
x = -3, y = -4
-4 = 3 (-3) + 5
-4 = - 9 + 5
-4 = -4
This option is correct!
C. ( 4, 17 )
x = 4, y = 17
17 = 3 (4) + 5
17 = 12 + 5
17 = 17
This option is correct!
D. ( 3, 8 )
x = 3, y = 8
8 = 3 (3) + 5
8 = 9 + 5
8 = 14
This option is incorrect!
Elevando um certo numero natural,maior do que zero,ao expoente 101 encontrarmos como resposta 1. Qual é esss numero? 101 A) 0 B) 1 C) 2 D) 101 = 1
Answer:
B) 1
Step-by-step explanation:
The computation of the number is shown below:
Since the number 1 would be raised to any exponent so it always remains be 1
Like
= 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1
= 1
Therefore the option B is correct
Compare and order the numbers from least to greatest by dragging them to the boxes. Plot the numbers on the number line to help.
Diana’s cat weighs 8 ½ pounds. There are 16 ounces in one pound. How much does Diana’s cat weigh in ounces?
Answer:
138 ounces
Step-by-step explanation:
What is the equation of the line?
y = 1/2 x + 2
y = 2x + 2
y = 1/2 x - 4
y= 2x x - 4
Answer:
your answer will be A. y=1/2x+2
Step-by-step explanation:
I hope it helps have a nice day bye ^_^
Allegra counted 10 red cards and
20 black cards in a deck of cards. What is
the ratio of red cards to black cards?
A 1:1
B 1:2
C 2:1
the answer is probably b
David invested $7,300 in an account paying an interest rate of 1.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9,070?
Answer:
13.6
Step-by-step explanation:
A= Pe^ rt
A=9070 P=7300 t= .016
9070 = 7300e^0.016t
divide by 7300
1.24246575342= e^0.016t
ln(1.24246575342)= ln e^0.016t
ln(1.24246575342)= 0.016t
divide by 0.016
t = 13.6
how to find the measure of each acute angle on a right triangle. plz help!
Vertical, Complementary and Linear Pair Angles
An equation is shown x + 3 = 8.5 what is the solution to the question A x = 11.5 B x= 5.5 C x= 2.83 D x= 25.5
can anyone help me please if not its okayy!!:)
Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find out how much he can spend for everything else. (not just a regular equation.)
Answer:
x ≤1363
Step-by-step explanation:
2,000-637 = 1363
x ≤1363
How would you show a rate of change of
60 miles per hour on a graph? Name
some of the points.
Answer:
You would show it by creating a XY graph and labelling the Y axis as the hours and the X axis as the distance. Some points are (1,60), (2,120), and (3,180).
Step-by-step explanation:
Write and Solve Systems of Equations
The sum of two numbers is 20.5: x + y = 20.5
Their difference is 6.5: x − y = 6.5
Answer:
x = 13.5 and y = 7
Step-by-step explanation:
Given equations are :
x + y = 20.5 ...(1)
x − y = 6.5 ...(2)
Add equation (1) and (2).
x + y + x- y = 20.5+6.5
2x = 27
x = 13.5
Put the value of x in equation (1).
13.5 + y = 20.5
y = 20.5-13.5
y = 7
Hence, the values of x and y are 13.5 and 7.
Express your answer as a decimal.
3÷2=
Answer:
1.5
Step-by-step explanation:
this would be 3/2 and if u divide 3 by 2 u get 1.5
Plz help solve 7 and 8
Answer:
7) 16 sq units
8) L = 22 cm
Step-by-step explanation:
7) A = 1/2h·(sum of bases)
= 1/2(4)(5+3)
= 2(8) or 16 sq units
8) A (trapezoid) = 1/2(7)(10+12)
= 1/2(22)(7)
= 11(7) or 77 sq cm
To find 'l' in triangle:
A = 1/2·L·7
77 = 7L /2
7L = 154
L = 22 cm
Hi please help me fast thank You
Answer:
k=1/4
Step-by-step explanation:
1/4x1=1/4
0x1/4=0
-1x1/4=-1/4
-2x1/4=-1/2
Very easy
Answer:
K=0.25
Step-by-step explanation:
Well the realationship in the problem y=kx. so now we substitute the numbers so that the equation is now -1/2=-2k
-1/2=-2k
-1/2/-2=k
0.25 or 1/4=k
Taxis usually charge a fee on top of the per-mile charge. In this case, the taxi charges $3 as a set fee and $0.80 per mile traveled. The function y=0.8x+3 is used to represent the total cost of a ride.
Answer:
$12.3
Step-by-step explanation:
Given data
We are given that the function for the charge is expressed as
y=0.8x+3
Where y is the total cost for a ride
X is the distance of the ride
Say x= 12 miles
Hence the total cost of the ride is
Y= 0.8*12+3
Y= 9.6+3
Y= $12.3
Hence a 12 miles Distance will cost $12.3
Answer: his answer is right
Step-by-step explanation: