Answer:
There are 36 boys in the class.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of boys
y is the number of girls.
There are 42 pupils in a class.
This means that [tex]x + y = 42[/tex].
Since we want x, we have that [tex]y = 42 - x[/tex]
12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.
This means that:
[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]
Since [tex]y = 42 - x[/tex]
[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]
Multiplying everything by 4.
[tex]x + 84 - 2x = 48[/tex]
[tex]-x = -36[/tex]
[tex]x = 36[/tex]
There are 36 boys in the class.
A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Answer:
0.0713 = 7.13% probability that the result is positive.
Step-by-step explanation:
Probability of a positive test:
91% of 1/650(has the disease).
7% of 1 - 1/650 = 649/650(does not have the disease). So
[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]
0.0713 = 7.13% probability that the result is positive.
can someone please help me with this
Answer:
Surface Area = 139.4 (rounded to nearest tenth)
Find the degree measure 7pi/4 radians
The degree for 7pi/4 is : 315°
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
maths question 11 divided by 4 please give me the answer in decimal as fast as u can
2.75
Step-by-step explanation:
[tex]\sf\purple{2.75}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{11}{4} \\ = 2.75[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?
Answer:
77 boys, 65 girls
Step-by-step explanation:
x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:
x + x + 12 = 142
2x + 12 = 142
x = 65
65 girls
then 65+ 12 = 77 boys
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
Relationships in Figures
If one measurement of a golden rectangle is 6.1 inches, what is the other measurement?
a. 4.482
b. 7.718
c. 9.87
d. 1.618
Please select the best answer from the choices provided
Answer:
C. 9.87
Step-by-step explanation:
I calculated it logically
5th grade math. correct answer will be marked brainliest
210 - 30 = 180
180 ÷ 15 = 12
12 weeks
It would take her 12 weeks to pay for the DVD player.
Can someone explain why the ans is X=6? Its (x-6)
Answer:
because either x-6=0 or x+1=0
x-6=0
x=0+6
x=6 OR,
x+1=0
x=0-1
x=-1
Step-by-step explanation:
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
IM LOW ON TIME AND NEED YOUR HELP 30 PST
Answer:
12.56
Step-by-step explanation:
First of all, pi = 3.14
Diameter=4
Radius=2
3.14×[tex]2^{2}[/tex]
So,
3.14 × 4 =
12.56
Hope this helps!! (Hope I did this in time!!)
Plzzz help as soon as possible
Answer:
Step-by-step explanation:
8 is not a function
9 is a function
10 is a function
-x if x si
Find f(7) for f(x) = 3 x + 5 if 15x<2
x? if x 22
Answer:
[tex]f(7) = 49[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]
Required
Determine f(7)
To do this, we make use of
[tex]f(x) = x^2[/tex]
Because [tex]7 > 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
This becomes:
[tex]f(7) = 7^2\\[/tex]
[tex]f(7) = 49[/tex]
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. Michelle has a score of 48. Convert Michelle's score to a z-score. (Round to two decimal places if necessary.)
Answer:
-2.00
Step-by-step explanation:
Applying,
Z = (x-μ)/σ.................. Equation 1
Where Z = Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.
From the question,
Given: x = 48, μ = 70, σ = 11
Substitute these values into equation 1
Z = (48-70)/11
Z = -22/11
Z = -2.00
Hence Michelle's z-score is -2.00
What is its equation in slope-intercept form ?
Answer:
Candice
Step-by-step explanation:
A 4-story parking garage
has spaces for 240 + 285 + 250 + 267
cars. While one floor is closed for
repairs, the garage has spaces for
240 +250 + 267 cars. How many spaces
are there on the floor that is closed?
Explain.
Solve
4x > 16
..............
Answer:
256. fffddddddssddddd
Help me PLEASEEEEEEEEEEEEE
Answer:
the first two are true and the last two are false
Help with 5+5-3 please
Step-by-step explanation:
5+5-3= 7
!!!!!!!!!!!!!!!!!
Answer:
answer is 7 please give a brainliest please
Step-by-step explanation:
Find the area of the composite figure
Answer:
area of semicircle=76.969 inches
triangle is=10 in so 20 since there is 2 triangles made
rectangle=140 in
236.969 inches is the total
hope this helps
have a good day :)
Step-by-step explanation:
What is the measure of remote angle, ∠A?
Answer:
40
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
<A = 1/2 (80)
<A = 40
Question 3 of 25
If f(x) = 3x + 2, what is f(5)?
O A. 10
O B. 17
O c. 1
O D. 13
Answer:
I believe it's 17 :)
Step-by-step explanation:
5×3= 15 +2 = 17
What is the exact measurement of the line segment?
Kim took a 3,000 mile trip in 4 days.
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
How many miles did she travel the 4th day?
O A. 2265 miles
B. 745 miles
C. 855 miles
O D. 265 miles
E 755 miles
Answer:
B. 745 miles
Step-by-step explanation:
Given that
Kim took 3000 miles trip in 4 days
And,
1st day - 850 miles
2nd day - 745 miles
3rd day - 660 miles
We need to find out that how much she travel in the 4th day
So, it is
= 3000 miles - 850 miles - 745 miles - 660 miles
= 745 miles
Hence, the option b is correct
Plz help me well mark brainliest if correct..??
Answer:
C/5
Step-by-step explanation:
This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.
SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
$132
Step-by-step explanation:
$440-440×0.70
=$132
A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.
Answer:
The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.
Answer:
1 / 11
Step-by-step explanation:
there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.
Hope this helps ( :
The sampling distribution describes the a. long-run behavior of a statistic. b. short-term behavior of the population. c. sample size. d. population proportion.
Answer:
Option A
Step-by-step explanation:
A probability distribution of a statistic that represents a large sample derived from a certain specific population size to determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a sampling distribution
Hence, option A is correct
A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)
radius = ? in.
length = ? in.
Answer:
radius r = 47/π in
length l = 23.5 in
Step-by-step explanation:
Let us recall that:
Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)
The girth g = [tex]2 \pi r + h[/tex] ----- (2)
Given that:
height (h) + girth (g) = 141
Then g = 141 - h ----- (3)
Equating equation (2) and (3), we have:
141 - h = 2πr + h
2h = 141 - 2πr
h = 70.5 - πr ------ (4)
From, here now, we can now replace the value of h into equation (1)
i.e.
V = πr²(70.5 - πr)
V = 70.5πr² - π²r³
Taking the differential of the above equation with respect to r, we have:
[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]
By further differentiation:
[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]
Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:
141πr - 3π²r² = 0
141πr = 3π²r²
Divide both sides by πr
141 = 3πr
r = 141/3π
r = 47/π in
Replacing the value of r = 47/π into equation (4), we have:
h = 70.5 - πr
h = 70.5 - π(47/π)
h = 70.5 - 47
h = 23.5 in
From equation (3);
h + g = 141
23.5 + g = 141
g = 141 - 23.5
g = 117.5 in
Volume = πr²h
V = π × (47/π )² × 23.5
V = 16523.94 in³