Answer:
a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
Step-by-step explanation:
Probabilities of independent events happening together:
The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.
In this question:
0.23 probability that a student is taking a high-level English class.
0.36 probability that a student has been bullied.
1/3 = 0.3333 probability that a student is in music class.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
0.23*0.36 = 0.0828
0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
0.36*1/3 = 0.12
0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
0.23*0.36*1/3 = 0.23*0.12 = 0.0276
0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
maths question solve it quick pls
Answer:
(a)2 1/4
(b)1 1/2
(c)1 1/18
(d)5 7/12
Step-by-step explanation:
(a) 11/3 - 17/12 = 44/12 - 17/12 = 27/12 = 9/4 = 2 1/4
(b) 33/10 - 18/10 = 15/10 = 3/2 = 1 1/2
(c) 41/9 - 7/2 = 82/18 - 63/18 = 19/18 = 1 1/18
(d) 47/6 - 9/4 = 94/12 - 27/12 = 67/12 = 5 7/12
Hope it helped :)
PLEASEEEE HELP ILL GIVE BRAINLIEST
Answer:
x = 3
Step-by-step explanation:
Taking this from the graph:
2x + 5 = 11
2x = 6
x = 3
Answer: A) 3
Step-by-step explanation:
2x+5=11
2x=6
x=3
which equation represents a line that passes through (5,4) with a slope of 2/5
Answer:
y = 2/5x +2
Step-by-step explanation:
y - 4 = 2/5(x -5)
y-4 = 2/5x -2
y = 2/5x +2
One fourth of the 120 students took wood shop. How many students did not take wood shop?
Answer:
90 students.
Step-by-step explanation:
Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:
[tex]\frac{3}{4}(120)[/tex]
Find common factors between 4 and 120 to simplify, so 4.
[tex]\frac{3}{1} (30)[/tex]
Now multiple across to get 90.
which of the following could be the length of the side of a triangle
A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12
9. What is 30% of 60?*
8
18
28
38
Answer:
It's 18
Step-by-step explanation:
30/100 x 60/1
180/100 =18
Answer:
18
Step-by-step explanation:
Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.
Your teacher has disabled instant marking. Your marks will appe
In the diagram below, LMOP is a rectangle whose perimeter is 30 cm.
LM = 12 cm
MNO is a right-angled triangle whose area is 12 cm².
L
12 cm
M
N
Р
Calculate the length of MN.
You must show your working.
+
[4]
Note: Make your final answer clear by writing 'MN = ...
Answer:
............
Step-by-step explanation:
.............
last step
merical simplification until the
1
Exercise 19c
Use the value 27 for n in this exercise.
Calculate the volume of a cylindrical steel
bar which is 8 cm long and 3.5 cm in
diameter.
2 The tank on a petrol lorry is a cylinder 2 m
in diameter and 7 m long.
a
Calculate its volume in m?.
b Find its capacity in kilolitres.
Answer:
77 cm^3
22 m^3
22 kl^3
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
1. Radius = 3.5 / 2 = 1.75
Volume = (22/7) x (8) x 1.75^2 = 77 cm^3
2. radius = 2/2 = 1m
Volume = (22/7) x (7) x 1^2 = 22 cm^3
1 meter = 1 kilolitre
capacity = volume
capacity = 22 kl^3
Write 3 more equations using the same numbers that express the same relationship.
Equation: 3 + 2 = 5
Answer:
2+3 = 5
5-2 = 3
5-3 = 2
Step-by-step explanation:
1. The parent function f(x) = x2 was
transformed to create the graph shown below.
x
Which function best represents the
transformation?
A f(x) = 3x2 - 1
B f(x) - 3x +1
c/(x) = $x-1
D) = -1 - 3
A small airplane used 7 1/3 gallons of fuel to fly a 3 hour trip. How many gallons were used each hour? Each day?
Answer:
approximately 2.44 per hour, and 175.92 per day
Step-by-step explanation:
We can use 7.33 as 7 and 1/3rd.
If you take 7.33 and divide by 3, representing 3 hours, it equals 2.44333333.
If you round this to the nearest hundredth, you get the answer 2.44
For each day, you take the original number, 7.33, and multiply it by 8 to assume that the trip was 24 hours.
7.33 * 24 = 175.92.
Answer:
Step-by-step explanation:
ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?
Answer:
I'm sorry I can't help because I don't know what part is shaded. Note: Since a square has the same length for each side all the sides are 16 cm.
Area and Perimeter for WHOLE square:
A: 256 sq cm
P: 64 cm
Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf
Answer:
Step-by-step explanation:
10 -2.95 = 7.05
the scarf cost $ 7.05
Answer:
4456646
Step-by-step explanation:
its that bc we add
Amy spent $42 on breakfast for her family. She gave the waiter an 18% tip. What is the tip?
Mr. Wallace took 600 mg of medicine. This was
75% of the full dose. What is the full dose?
Answer:800
Step-by-step explanation:
75% = 0.75
600/0.75 = x/1
Cross multiply:
0.75x = 600
Divide 0.75 to both sides:
x = 800
So the full does is 800mg.
The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
Answer:
D. y=3x
Explanation:
find the 12th term of the geometric sequence show below x^2, -2x^6, 4x^10
Function or a Relation?
X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19
Answer:
Hi! The answer to your question is Relation
Step-by-step explanation:
To be a function the x values can't repeat, since they do, its a relation
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Write the equation of the circle with the given information.
Center: (2,8)
Radius: 3
Answer:
(x - 2)² + (y - 8)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (2, 8 ) and r = 3 , then
(x - 2)² + (y - 8)² = 3² , that is
(x - 2)² + (y - 8)² = 9
Fill in the blank
7.5 cm =_ m
A. 0.0075
B. 0.075
C. 0.75
D. 750
In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.
What is the measure of angle B?
12∘
20∘
141∘
129∘
Answer:
12°
Step-by-step explanation:
Let's start with the easy first.
We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.
Now, we can use this to find the remaining two angles.
180° - 39° = 141°
So, this means that we can set up m∠A + m∠B = 141°.
6x + 9 + x - 8 = 141
7x + 1 = 141
7x = 140
x = 20
Finally, we can plug in for our x value and find m∠B.
m∠B = x - 8
m∠B = 20 - 8
m∠B = 12°
Answer:
12
Step-by-step explanation:
Use the net to find the surface area of the prism.
96 in2
12 in2
24 in2
84 in2
Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10
Answer:
69
Step-by-step explanation:
trust me
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....Write 34/5 as a mixed number. 4 5/6 3 4/5 6 4/5 6 5/4
Answer:
6 4/5
Step-by-step explanation:
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
Pls help this is timing me!!!!!
Answer:
D
Step-by-step explanation:
what is the distance of the points (-7,-4) and (-2,-4)
Answer:
Step-by-step explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
4
−
−
4
)
2
+
(
17
−
2
)
2
d
=
√
(
4
+
4
)
2
+
(
17
−
2
)
2
d
=
√
8
2
+
15
2
d
=
√
64
+
225
d
=
√
289
d
=
17
A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.
Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%
Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
Answer:
0.4216
Step-by-step explanation:
from the data given The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216 ( i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box
Answer:
Area of cardboard required = 468 cm²
Step-by-step explanation:
Area of the cardboard required = Surface area of the triangular prism
Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides
Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 cm²
Area of lateral sides = Perimeter of the triangular base × Height
Perimeter of the triangular base = 9 + 12 + 15
= 36 cm
Now area of the lateral sides = (36) × 10
= 360 cm²
Surface area of the prism = 360 + 2(54)
= 360 + 108
= 468 cm²
Therefore, area of cardboard required for each box = 468 cm²