Answer:
0.1998
Step-by-step explanation:
This is a conditional probability question.
We solve this question using Bayes's Theorem of conditional probability.
P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]
Based on the information in the question, we have the following values.
Suppose it snows in Greenland once every 27 days.
Probability (it snows) = P(A) = 1/27
= 0.037037037
Approximately = 0.0370
Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963
Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26
Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04
Using the Bayes's Theorem of conditional probability
Probability that it is snowing in Greenland when glaciers are growing is =
P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]
= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]
= 0.00962 ÷( 0.00962 + 0.03852)
=0.00962 ÷ 0.04814
= 0.199833818
Approximately to 4 decimal places ≈ 0.1998
Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998
What's the value of x in the figure? A) 78° B) 57° C) 76° D) 33°
Answer:
x = 78
Step-by-step explanation:
57° + x° = 135° (alternate angles, // lines)
x = 135 - 57
= 78
I hope this helps :)
Please help me! i need to do this by Friday
Answer:
Step-by-step explanation:
x+118 degrees =180 degrees
x +118 degrees-118degrees =180 degrees - 118 degrees
x =62 degrees
Find ordered pair that is solution for liner equation 4x - 5y=20
Answer:
(0,-4) (5,0)
Step-by-step explanation:
4x-5y=20
First, we must put the equation into slope intercept form: y= mx+b
5y=4x-20=y=4/5x-4
The y intercept, by definition, is b. In this scenario, b is -4.
One ordered pair that works is (0,-4).
Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:
0=4/5(x)-4= 4=4/5x4x=20x=5Therefore, (5,0) works as well!
HELP ME WITH THIS PROBLEM PLEASE the problems are 1-3
(The problems are in a picture)
1. 3 times a number less than the sum of twice a number and 2.
Let x be the number
The sum of twice of x and 2 is 2x + 2.
3 times a number less than this is 2x + 2 - 3x = -x + 2.
2. 6 multiplied by the sum of a number and 8.
Let x be the number
The sum of a number and 8 is x + 8.
6 multiplied by this is 6(x+8) = 6x + 48
3. Jane saves $10 per week, so after w weeks, she saves 10w.
She already has $50, so she then has 50 + 10w.
I need help with this question !!!!!!!
Answer:
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Step-by-step explanation:
This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.
So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.
-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.
5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.
To right that in notation simply
f(x) = -5 if -5 <= x <= -3
f(x) = -2 if -3 < x <= 2
f(x) = 5 if 2 < x <= 6
Cheers.
Anna said that the product of 7/8 ⋅ 1 1/2 =7/2. How can you tell that her answer is wrong/
Answer:
it's 77/16 and just say Anna's answer is wrong.
Answer:
The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.
1. Rylan's basketball team has 11 players.How many ways can his coach choose five
starting players?
2. Sarah plays softball over the summer. If there are 10 players on the team, how
many ways can the coach make a batting order?
Answer:
Hey there!
For question 1:
C(11,5) = (11!)/(5!*(11-5)!)
C(11,5) = (11!)/(5!*6!)
C(11,5) = (11*10*9*8*7*6!)/(5!*6!)
C(11,5) = (55440)/(120)
C(11,5) = 462 ways
For question 2:
10!=10*9*8*7*...*2*1= 3628800 ways.
This can be a challenging and confusing topic, so let me know if you want a easier to understand explanation, I'm always here to give one :)
A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.
What is permutation?A permutation is an act of arranging the objects or elements in order.
1. Rylan's basketball team has 11 players.
His coach chooses five starting players.
The number of different ways to choose the players.
[tex]\rm ^{11}C_{5} = \dfrac{11!}{5! (11-5)!} = 462[/tex]
2. Sarah plays softball over the summer. If there are 10 players on the team.
The coach made a batting order that will be
[tex]10! = 10*9*8*7*6*5*4*3*2*1 = 3268800[/tex]
Thus, A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.
More about the permutation link is given below.
https://brainly.com/question/1216161
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle. How many unique triangles can Gloria draw that meet her teachers requirements
Answer:
Just two
Step-by-step explanation:
Glorias teacher asks her to draw a triangle with 90 degree angle and a 42 degree angle.
The presence of 90 degrees indicates that it's a right angle triangle.
The remaining angle= 180-90-42
The remaining angle= 48 degrees
Due to the presence of 90 degrees, the angle 42 and 48 degrees will interchange two times only to form only two unique triangles.
Calculate the heat required to melt 1 g of gold at its melting point. The specific heat of fusion for gold is 64.5×103 J/kg.
Answer:
64.5J
Step-by-step explanation:
Q = ml
Q = (1/1000)kg X 64.5x10^3 J/kg
Q = 64.5 J
Answer:
I'm not positive but I think it's 64.5J
Step-by-step explanation:
Please, tell me if I'm wrong
Help! ASAP pls There is a frog dead in the center of the pond on a lily pad. The pond is 7 meters in diameter. There are 6 lily pads leading to the edge, which the frog MUST jump onto if he wishes to get out. The frog can only jump to 3 pads each day. How many days will it take him to get to the edge of the pond? And give an explanation
Answer:
Approximately 2 days.
Step-by-step explanation:
The frog can only jump 3 lily pads each day.
24 hours = 1 day
[tex]\frac{24}{3}[/tex] = 8 hours
Thus, it would take the frog 8 hours to cover a lily pad.
To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).
So that;
Total time required to get to the edge of the pond can be determined by;
6.5 × 8 hours = 52 hours
Number of days to get to the edge of the pond = [tex]\frac{52}{24}[/tex]
= 2.2
It would take him approximately 2 days to get to the edge of the pond.
Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?
Answer:
Hello! Answer below! :)
Step-by-step explanation:
**Least to greatest** => [tex]1/10 < 3/10 < 0.9[/tex]
Look at the picture below!
By: RobloxYt
Two bags contain 10 balls each. Every round, you choose with equal probability one of the 2 bags and pick out a ball. After a while, you choose an empty bag. What is the probability for the other bag to contain exactly 4 balls at that time?
a. 2.90%
b. 6.10%
c. 10.80%
d. 12.20%
Answer: b) 6.10%
Step-by-step explanation:
to find the probability for the other bag to contain exactly 4 balls at that time;
is only possible if you have chosen a particular bag 10 times and other bag 6 times.
After that, once again at the 17th attempt
so the required probability = ¹⁶c₁₀ × (1/2¹⁰ × (1/2)⁶ × (1/2)
= 0.610
CONVERT TO PERCENT
0.610 × 100
= 6.10%
NEED HELP ASAP!! I need to find out x!! Trigonometry!!
Answer:
Hey there!
Well first, don't feel bad, since trig is really hard, especially if you are just learning it.
If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.
tangent 20=x/10
tangent 20 (10)=x
x=3.64
Let me know if you have any other trig questions, I'm always here to help :)
Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two decimal places.) −8, 2, 2, 4, 15 variance standard deviation
Answer:
Variance = 67.00Standard deviation ≈ 8.19Step-by-step explanation:
Before we can calculate the standard deviation of the dataset, we need to get the mean value first.
mean = sum of the values/total number given
mean = -8+2+2+4+15/5
mean = 15/5
mean (xbar) = 3
For ungrouped data:
Variance S²= ∑(xi-xbar)²/N-1
xi are the individual values
xbar is the mean value = 3
N is the total number in the dataset = 5
Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1
S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4
S² = (121+1+1+1+144)/4
S² = 67
Hence the variance of data sample is 67.00
Standard deviation is the square root of the variance.
√S² = Standard deviation
√67 = Standard deviation
Standard deviation = 8.185
Standard deviation ≈ 8.19 (to 2 decimal place)
Someone help! It is urgent!!!
Answer:
a. f(-1)=12
b. f(2t)=16t²-6t+5
c. f(t-2)=4t²-19t+27
Step-by-step explanation:
For a, b, c, we are given an input. We plug that into f(x) to find our answers.
a. f(-1)=12
f(-1)=4(-1)²-3(-1)+5
f(-1)=4+3+5
f(-1)=12
-------------------------------------------------------------------------------------------------------------
b. f(2t)=16t²-6t+5
f(2t)=4(2t)²-3(2t)+5
f(2t)=4(4t²)-6t+5
f(2t)=16t²-6t+5
-------------------------------------------------------------------------------------------------------------
c. f(t-2)=4t²-19t+27
f(t-2)=4(t-2)²-3(t-2)+5
f(t-2)=4(t²-4t+4)-3t+6+5
f(t-2)=4t²-16t+16-3t+6+5
f(t-2)=4t²-19t+27
A study of bone density on 5 random women at a hospital produced the following results.
Age 37 41 57 65 73
Bone Density 355 345 340 315 310
Step 1: Calculate the correlation coefficient, r. Round your answer to six decimal places.
Step 2: Determine if r is statistically significant at the 0.01 level.
Step 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.
Answer:
- 0.9503 ; r is not statistically significant ; 0.9031
Step-by-step explanation:
Given the following :
Age (X) :
37
41
57
65
73
Bone density (Y)
355
345
340
315
310
Using the pearson R value calculator :
The r value of the data % - 0.9503.
This value depicts a very strong negative correlation between age and density of bone.
Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.
The Coefficient of determination R^2 can be obtained by getting the square value of R
R^2 = - 0.9503^2
R^2 = 0.90307009
R^2 = 0.9031
Simplify,, Explantion if possible
Answer:
work is shown and pictured
When two lines crosses, it is found that the angle opposite each other are thesame sizes. They are known as what
Answer:
vertical angles
Step-by-step explanation:
Opposite angles that are congruent are known as vertical angles.
the sale tax for an item was $32.80 and it cost $410 before tax find the sales tax rate write the answer as a percentage
All we need to do is, divide the tax cost by the total cost of the item.
32.80 / 410 = 0.08
Multiply to find the percentage.
0.08 * 100% = 8%
Therefore, the tax rate is 8%.
Best of Luck!
Which One Doesn't Belong?
3x - 5
12x
1 + x
x2 + 5x + 6
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number $2$ is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by $-2$ and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by $2$. The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board (including at the beginning)?
Answer:
The number of times Ivan and Adeline have the same number written on the board is 6.
Step-by-step explanation:
Consider the procedure as follows:
On each half of the board, the number 2 is written.On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.Adeline does the same on each signal, except that she multiplies by 2. The teacher gives 10 signals in total.Consider the numbers on each half of the board:
Ivan Adeline
2 2
2 × -2 = -4 2 × 2 = 4
-4 × -2 = 8 4 × 2 = 8
8 × -2 = -16 8 × 2 = 16
-16 × -2 = 32 16 × 2 = 32
32 × -2 = -64 32 × 2 = 64
-64 × -2 = 128 64 × 2 = 128
128 × -2 = -256 128 × 2 = 256
-256 × -2 = 512 256 × 2 = 512
512 × -2 = -1024 512 × 2 = 1024
-1024 × -2 = 2048 1024 × 2 = 2048
Thus, the number of times Ivan and Adeline have the same number written on the board is 6.
Question: -2 - (-4)
Answer:
2Step-by-step explanation:
Follow PEDMAS
[tex]-2 - (-4)[/tex]
Follow rule : -(-a)= + a
[tex] - 2 + 4 \\ = 2[/tex]
Answer:2
Step-by-step explanation:
If _____, the Triangle)ABC and Triangle)EFD are congruent by the ASA criterion
-Angle B is congruent to angle E
-Angle C is congruent to angle E
-Angle a is congruent to angle E
If______,then triangle)ABC and triangle)EFD are congruent by the SES criterion
-AB = DE
-BC = FD
-CA = FD
Answer:
1). Angle c is congruent to angle E
2) BC=FD
15. (01.01)
What is the value of the radius of the following circle with an area of 154 cm2? (1 point)
Area
154 cm^2
*4.9 cm
*7.0 cm
*25 cm
*68 cm
Answer:
The answer is option BStep-by-step explanation:
Area of a circle = πr²
where
r is the radius of the circle
From the question
Area = 154cm²
To find the radius substitute this value into the above formula and solve for the radius
That's
154 = πr²
Divide both sides by π
We have
[tex] {r}^{2} = \frac{154}{\pi} [/tex]
Find the square root of both sides
Thats
[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]
r = 7.0014086
We have the final answer as
radius = 7.0 cm
Hope this helps you
(a) The perimeter of a rectangular field is 310 m.
If the length of the field is 84 m, what is its width?
(b) The area of a rectangular painting is 5185 cm.
If the width of the painting is 61 cm, what is its length?
Answer:
a. [tex] \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}[/tex]
b. [tex] \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}[/tex]
Step-by-step explanation:
a. Given,
Perimeter of rectangular field ( P ) = 310 m
Length of the field ( L ) = 84 m
Width of the field ( W ) = ?
Finding the width of the rectangular field
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]
plug the values
⇒[tex] \sf{310 = 2(84 + w)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{310 = 168 + 2w}[/tex]
Swap the sides of the equation
⇒[tex] \sf{168 + 2w = 310}[/tex]
Move 168 to right hand side and change it's sign
⇒[tex] \sf{2w = 310 - 168}[/tex]
Subtract 168 from 310
⇒[tex] \sf{2w = 142}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2w}{2} = \frac{142}{2} }[/tex]
Calculate
⇒[tex] \sf{w = 71 \: m}[/tex]
Width = 71 meters
------------------------------------------------------------
2. Given,
Area of rectangular painting ( A ) = 5185 cm²
Width of the painting ( w ) = 61 cm
Length of the painting ( l ) = ?
Finding length of the painting
[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]
plug the values
⇒[tex] \sf{5185 = 61l}[/tex]
Swap the sides of the equation
⇒[tex] \sf{61 \: l \: = 5185}[/tex]
Divide both sides of the equation by 61
⇒[tex] \sf{ \frac{61 \: l}{61} = \frac{5185}{61} }[/tex]
Calculate
⇒[tex] \sf{l = 85}[/tex] cm
Length = 85 cm
Hope I helped!
Best regards !!!
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit vector
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
The unit vector is ( -0.731, 0.682)
The calculation is as follows:
[tex]x = R\times cos(A)\\\\y = R\times sin(A)[/tex]
And the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
so,
[tex]x = 1\times cos(137) = -0.731y = 1\times sin(137) = 0.682[/tex]
Then the unit vector is: ( -0.731, 0.682)
learn more: https://brainly.com/question/20492533?referrer=searchResults
If a = 5 b = 3 and c = 2
2ab =
Answer:
30
2ab=2*5*3
30
hope it helps
Answer:
30
The equation re-written would be
2 · 5 · 2 = 30
what is forty nine eight hundred and one ten thousands in a decimal
Answer:
forty nine eight hundred in a decimal
= 49800.0
one ten thousands in a decimal
= 10000.00
Step-by-step explanation:
forty nine eight hundred and one ten thousands in a decimal
First of all.
Let's take forty nine eight hundred
Converting it to decimal
= 49800.0
forty nine eight hundred= 49800.0
For the second one
one ten thousands in a decimal
Converting it to decimal
= 10000.00
one ten thousands in a decimal
= 10000.00 in decimal
Let a function f (x) = x² + 1
Find f (4):
Answer:17
Step-by-step explanation:
Plug in 4 in the place of x and then add 1
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
F(x)= x² +1
[tex] f(4) = 4 {}^{2} + 1 [/tex]
[tex] f(4)= 16+1 [/tex]
[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]
Nadia determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is she correct?
Answer:
No, Nadia is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.
*Credits to another Brainly question. The person who asked the question put this answer in the answer options.*