Answer:
180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.
35 + 71 = 106
180 - 106 = 74.
So w = 74 degrees.
Let A and B be two events. Suppose the probabilities P(A) = 0.5, P(
A and B) = 0.2
and P((AUB)') = 0.4. What is P(B)?
Answer:
[tex]P(B) = 0.3[/tex]
Step-by-step explanation:
We use the following formula for Venn probabilities to solve this question.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
P((AUB)') = 0.4
This means that:
[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]
We also have that:
[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]
What is P(B)?
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]0.6 = 0.5 + P(B) - 0.2[/tex]
[tex]0.3 + P(B) = 0.6[/tex]
[tex]P(B) = 0.3[/tex]
Two variables are said to interact when ____. a. the two variables are differentially affected by a third variable b. both variables produce a change in the subjects' scores c. both variables are equally influenced by a third factor d. the effect of one independent variable depends on the levels of the second variable
Answer:
a.) the effect of one independent variable depends on the levels of the second variable
Step-by-step explanation:
In regression, an interaction effect comes to play whenever the effect that an independent variable has on a dependent variable changes, as regards to value(s) of other independent variables( one or more variables). The variables that give interaction effect as a result of interaction with each other is reffered to as "interacting variables" For instance, in a research whereby how "Male gender versus female gender" and their " dieting B and dieting D" influence their " weight loss" There would be interaction effect in a situation where by a " female gender" that operate on " diet B" shed more weight compare with " male gender" that operate on " diet B". It should be noted that two variables are said to interact when the effect of one independent variable depends on the levels of the second variable
Type your answer into the box.
240 people are going to a charity event.
3/5 of the guests have ordered chicken for their meals.
Of the remaining guests, 12.5% have ordered gluten-free meals
How many people haven't ordered their meals yet?
Answer:
84 people
Step-by-step explanation:
Find the probability of each event.
1) An archer has a 25% chance of hitting the
bullseye on a target. What is the
probability that the archer will hit the
bullseye exactly three out of five times?
Answer: Don’t listen to the other comment it’s a scam. It’s 15 percent. Or 0.15
Step-by-step explanation:
1
Type the correct answer in the box.
5 units
2 units
2 units
3 units
2 units
The area of the figure is
square units
Reset
Next
Answer:
Is there any more information to this so I can try and help
Plz help if correct ill give Brainlyest
Answer:
x=21
Step-by-step explanation:
x=(16.8 * 2.5) /2=21
Find the areas of the sectors formed by ABC
Answer:
33.51 in^2
Step-by-step explanation:
Find the area of the circle:
A = πr^2
A = π * 8^2
A = 64π = 201.06 in^2
Find the area of the 60 deg slice:
A * 60/360 = 33.51 in^2
Leave a thanks and mark brainliest if this helped
Leave a thanks and mark brainliest if this helped
The square of a number, x, is 16 less than eight times the number. What is the number?
Answer:
4
Step-by-step explanation:
x² = 8x - 16
x² - 8x + 16 = 0
(x - 4)² = 0
x = 4
A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 2 inches. How much wax will the company need to make 270 candles?
Use 3.14 for pie and do not round your answer.
Answer:
[tex] 15,260.4 \: {in}^{3} [/tex]
Step-by-step explanation:
Radius of candle = 3 inches
Height of candle = 2 inches
Wax needed to make one candle = Volume of one cylindrical candle
[tex] =\pi r^2 h[/tex]
[tex] =3.14(3)^2 (2)[/tex]
[tex] =56.52\: in^3 [/tex]
Volume of wax needed to make 270 candles
[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]
Kianna's aquarium is "box-shaped" with dimensions of 5 ft by 1 ft by 8 in. What is the water capacity of her aquarium in gallons? Consider that 1 ft3 of liquid corresponds to 7.5 gallons of the liquid.
Answer:
volume of aquarium =l×b×h=5×1×8=40ft³
volume of aquarium in gallons=
40ft³×7.5gallons/ft³=300galloons
40% of the students in a school are boys. lf there are 240 boys, how many student are therein the school?
Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
Liam and Michael are going to play video games this afternoon.
Then, Liam going to play video games = 38
Michael going to play video games = 2
In 38 video games and 2 video games are exactly what Liam and Michael need.
So,
We can write,
Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]
As only one case is possible,
That is, [tex]2C_{2}[/tex] = 1
Probability = 1/(38!/(38-2)!2!)
= 1/(38!/36!2!)
=( 2! * 36! )/38!
= (2! * 36! )/38!*37!*36!
= 2!/38!37!
= 1/19!37!
= 1/703
= 0.001422
Rounding to nearest million ( 5 decimal )
Required probability = 0.001422
Therefore,
The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
To learn more about information visit Probability :
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Gross income: $408.68
Deductions: $98.98
Net income: $_
Answer: $507.66
Step-by-step explanation:
408.68 + 98.98 = 507.66
After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?
j - 5 = q
What is J and Q?
Answer:
There might be more to this problem that not included?
Based on the question written, J and Q would be anything that is mathematically supported.
I could a virtually endless combination, that's why I think we may be missing part of the question.
Here are some solutions:
J=11, Q = 6 11-5=6
J=12, Q= 7 12-5=7
J= 7, Q = 2 7-5=2
J = 162, Q = 157 162-5=157
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48Rachel received 27 cents in change after purchasing a pet gerbil. How many different combinations of coins could she have received from the store clerk? Make a list of all the possibilities. Use the space below to write all of the possibilities. One has been done for you.
Answer:
gfddgjjjffdbbshshhshshshhshhbsbdbddbdvbd
if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)
Answer:
22
Step-by-step explanation:
2x-13=9
2x-13-9=0
2x-22=0
2x=22
x=11
help me with this plzzzz
Answer:b c
Step-by-step explanation:
did it
Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
Answer:
442
Step-by-step explanation:
624-183= 442 he needs to drive 442 miles more
if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour
Answer:
37 km
Step-by-step explanation:
Answer:
37kph
Step-by-step explanation:
518/14=37
Can someone help me daughter I just wanna see who helps her
Answer:
Yes.
Step-by-step explanation:
The total amount needed is the amount per teacher x the volume of the water bottles.
16 x 9 = 144
since one gallon is 128 ounces,
144/128 = 1.125 = 1 1/8
Since 1 1/8 is less than 1 1/2, there is enough water.
If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?
Options
3y + 3
3y + 9
4y + 7
4y + 16
Answer:
Length of DF = 3y + 9
Step-by-step explanation:
Given:
ΔABC is similar to ΔDEF
Line EF = 6y
Find:
Length of DF
Computation:
Given that ΔABC is similar to ΔDEF
So,
Line BC similar to Line EF
Line BA similar to Line ED
Line AC similar to Line DF
Common factor = EF/BC
Common factor = 6y/2y
Common factor = 3
So,
Line AC similar to Line DF
So,
DF = 3[AC]
Length of DF = 3[y+3]
Length of DF = 3y + 9
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
You can try to show this by induction:
• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]
and
[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]
We want to then use this assumption to show the closed form is correct for n = k + 1, or
[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]
From the given recurrence, we know
[tex]S_{k+1}=S_k+2S_{k-1}[/tex]
so that
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]
[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]
[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]
[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]
[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]
which is what we needed. QED
Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if you do plz help
Answer:
96cm^2
Step-by-step explanation:
We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2
We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2
We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2
please help me
Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
1. 3x^2 - 192 = 0
Method:
Why:
2. x^2-x-6=0
Method:
Why:
3. x^2-6x-7=0
Method:
Why:
4. x^2-17x-7=0
Method:
Why:
Answer:
The values of x are +8 and -8
Step-by-step explanation:
1. The given equation is :
[tex]3x^2 - 192 = 0[/tex]
We need to find the value of x.
It can be done as follows :
[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]
So, the values of x are +8 and -8.
Work out the perimeter of this semicircle.
Take it to be 3.142 and write down all of the digits given by your calculator.
18 cm give your answer in cm
Answer:
46.278cm
Step-by-step explanation:
(π+2)r
=πr+d
=9π+18=46.278cm
What is the slope of 4x-2y=6
Answer:
slope= -2
Step-by-step explanation:
18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?
Answer:
She need 3 packs of balloons
phil worked 5 days more than jill. together they worked 25 days. how many days did each work?