Answer:
a. 18
b. 45
Step-by-step explanation:
The question states that 2/5 of the class are girls which means 3/5 are boys:
[tex]\frac{3}{5} = 27[/tex]
Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:
27 ÷ 3 = 9
Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:
9 x 5 = 45
As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:
9 x 2 = 18
So there are 18 girls in the class which has a total pupil size of 45.
Hope this helps!
Step-by-step explanation:
according to question of ⅖ are girls than ⅗ are boys
so let the number of girls be x
so,
→ ⅗ of x = 27
→ x = 27 × 5/3 = 9×5 = 45
→ x = 45
a ) 45 - 27 = 18
than no. of girls is 18.
b) thier are 45 students in total.
hope this answer helps you dear...take care and may u have a great day ahead!
The length of Chen’s office is 15.5 feet and the width is 7.8 feet. Use the formula P = 2ℓ + 2w to find the perimeter of the office.
46.6 feet
Step-by-step explanation:
P = 2ℓ + 2w
P = 2(ℓ + w)
P = 2(15.5 + 7.8)
P = 2(23.3)
P = 46.6 feet
A computer selects a number
X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?
Answer:
22.5
Step-by-step explanation:
The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
(a) Distribution of X is uniform distribution X to U(4,11).
(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5
Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)
(c) We have to find probability that the average of 35 numbers will be less than 7.9.
P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.
Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
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Please help!!
Victor's solution to an equation is shown below. Which property of real numbers did Victor use for Step 3? A. Associative Property of Multiplication B. Addition Property of Equality C. Subtraction Property of Equality D. Commutative Property of Multiplication
Answer:
can't see the equation sorry
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Victor solved this inequality as shown:
Given: 6+3(x+5) = 36
Step 1: 6+3x+15 = 36
Step 2: 3x+21= 36
Step 3: 3x = 15
Step 4: 3x=15
What property justifies the work between step 3, I'm guessing its this question if not message me.
from step 2 to 3 we must use Subtraction Property of Equality since
3x+21 = 36 must subtract 21 both sides
then u get 3x=15
4
3
1
-5 -4 3.-2.-1
2
1
13
- 2
-3
-4
1-5
Find the slope of the line graphed.
Answer:
2/5
Step-by-step explanation:
cuz
solve for x
2x×7÷2=8
Answer:
x=8/7
2x times 7 divided by 2 = 8
solve for x
Step-by-step explanation:
2x ×7/2 =8
2x =8×2/7
x=8×2/2×7
x=8/7 or 1⅐.
hope this helps you.
helppp
what is the slope?
Answer:
2/3
Step-by-step explanation:
Find a two coordinates on the line such as (20,40) and (50,60)
plug it into the slope formula m= y2 - y1 / x2- x1
it doesn't matter what way you plug them in
m = slope
m = 60-40 / 50 - 20 = 20/30 = 2/3
The slope is 2/3 I simplified 20/30 by dividing by 10
hope this helped
Hey Guys I need some help in answering( some areas of a Triangle) - the Question will be attached Below.
Can you guys also help me by putting the working out too All of the Questions ( Including page 1 & 2 Please so I can also Understand).
Thanks! Greatly Appreciated if you Can!
Step-by-step explanation:
2)
Rectangle has side 5 cm so one side of triangle will be 5cm
area of triangle is = 1/2lb
= 1/2 5*4
=10 cm^2
area of rectangle is l*b = 5*3= 15 cm^2
are of the shape is 10+ 15= 25 cm^2
Area of rectangle is 6*8 = 48 m^2
Area of triangle is = 1/2 *8*2= 8 m^2
area of the shape is 48+8= 56m^2
(5x - 17) + 48
find the value of X and Y
Translate this phrase into an algebraic expression.
17 increased by twice Gail’s savings.
Use the variable g to represent Gail’s savings.
Answer:23/18
Step-by-step explanation:
evaluate (-3) (-10) answer
dddddd
Answer:
30 because negative x negative = a positive number
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
a line graph
Step-by-step explanation:
they can make u easily see the rise and fall throught the years and it is easy to see ur data. historgrams are grouped into number ranges and bar graph are used to compare different categories.
The length of a car is [tex]\sqrt{163}[/tex] ft. Will this car fit in a garage that measures 10 ft long? If not, what is the minimum length of a garage long enough for this car?
Step-by-step explanation:
example:
{163} you dont enough the texFind the area of a sector of a circle for a 50 Degree angle with a diameter of 200 feet,
O 1.090.83 feet
O 5.363.32 feet
4.363.32 feet
O 17.453.30 feet
Answer:
17,453.30 feet
Step-by-step explanation:
I still need to know this and the blank5.) 48 : _______ = 8 : 9
K(–5, –9); rotation 180° about the origin, translation 3 units left
Answer:
Step-by-step explanation:
Rotate 180 degrees about the origin
X(x,y) ====> X'(-x,-y)
K(-5 , - 9) = K ' (- -5, - - 9)
K' (5,9)
3 Units Left.
y is unchanged.
x becomes x - 3
K'(5,9) ===>k" (5 - 3,9)
k"(2,9)
The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.
Use the pH standards below to answer the following questions:
pH Water Quality Standards
pH Range
Good-neutral
7-7.5
Fair - neutral zone
6.5-6.9 or 7.5-8.5
5.5-6.4 or 8.6-9
Marginal - too acidic or basic
Less than 5.5 or more than 9
Poor -- too acidic or basic
a. What is the water quality of water with a pH of 4.4?
b. What is the water quality of water with a pH of 7.2?
c. What is the water quality of water with a pH of 6.3?
Solve the equation: 8 = 1/3(a+5)
Answer:
a=19
Step-by-step explanation:
8=1/3(a+5) by dividing both sides by 1/3
24 = a+5 get 5 to other side with oposite sign
24-5 = a
a = 19
Answer:
a = 19
Step-by-step explanation:
8 = [tex]\frac{1}{3}[/tex] ( a + 5) ← multiply both sides by 3 to clear the fraction
24 = a + 5 ( subtract 5 from both sides )
19 = a
someone to give me the answer to this ...? please!
Answer:
1.
a. x = 2
b. x = 6
c. x = 5/4 or 1.25
2. You have to do it on your own. sorry!
3. slope = +3
4. y = 1/3x + 4
5. y = 2x + 3
6. pattern = +8
39, 47, 55
7.You have to do it on your own. sorry!
8. You need a protractor so I am guessing
a.60*
b.95*
c.145*
Step-by-step explanation:
Have a nice day! :-)
Math experts can you please factor this thank you
Answer:
(x - 2) (x + 5)
Step-by-step explanation:
Hope this helps!
Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)
Answer:
-2 / 25 + (11 / 25) i
Step-by-step explanation:
Hope this helps :)
6x+10=30x+135 solve for "x"
Answer:
x=-125/24
Step-by-step explanation:
(6x+10)+(-10-30x)=(30x+135)+(-10-30x)
(6x+10)+(-30x-10)=(30x+135)+(-30x-10)
6x+10-30x-10=30x+135-30x-10
6x-30x+10-10=30x-30x+135-10
-24x=125
24x/24=-125/24
x=-125/24
It snowed 9.33 inches on Monday and 0.66 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?
9.33 +
0.66
9.99
It snowed 9.99 inches on Monday and Tuesday combined
Question 9 (1 point) Which of the following does NOT describe mass?
a remains constant
b a measure of matter
C a measure of gravitational force
d measured in kilograms
The answer is a measure of gravitational force
A car rental agency charges $70 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.40 per
Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $212.
Answer:
212=70+(m X 0.40)
If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Cost of car rent per day for 100 miles = $70
Additional cost per mile = $0.40
Let m = number of miles driven
Total cost for one day rental = $212
The equation that represents the additional m = miles driven for a day that cost $212 is:
212 - 70 = 0.40m
142 = 0.40m
m = 142 / 0.40
m = 355
This means 355 additional miles were driven.
The number of miles driven for the day is:
= 100 + 355
= 455 miles
Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.
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The ratio of the number of apples to the number of oranges is 5:2 . There are 18 more apples than oranges. If 24 oranges are added, what will be the new ratios of apples to the numbers of orange?
Answer:
5 : 6
Step-by-step explanation:
The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )
There are 18 more apples than oranges , that is
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges
The number of oranges is increased by 24, to 12 + 24 = 36 , then
30 apples : 36 oranges ( divide both parts by 6 )
= 5 : 6
A figure above the line y=-1 is reflected across the line y=-1 and then reflected across the line y=-5. Determine the slope and magnitude of the equivalent translation vector.
Answer:
s
Step-by-step explanation:
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
If x=2, y=5, z=3, find the value of:
Answer:
value of? please include whole question
Convert the measurement as indicated
90 in to yards
Answer: 2.5 yards
Step-by-step explanation: Divide the inches value by 36. 90/36 = 2.5
What is the missing value
Answer:
I am not entirely sure but I think it is 1.
Step-by-step explanation:
Don't quote me on this though. Please tell me if I am wrong.