Answer:
0.4
Step-by-step explanation:
The question is not complete, the correct question is:
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary
Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).
Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:
P(X and Y) = P(X) × P(Y)
Making P(X) the subject of formula by dividing through by P(Y) gives:
[tex]P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\ P(X)=0.4[/tex]
Answer:
0.4
Step-by-step explanation:
edg 2021
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
From the stage of a theater, the angle of elevation to the first balcony is 19 degrees. The angle of elevation to the second balcony, 6.3 meters directly above the first, is 29 degrees. How high above stage level is the first balcony, to the nearest tenth of a meter
Answer:
10.3 meters.
Step-by-step explanation:
From Triangle ABC
[tex]\tan 29^\circ =\dfrac{6.3+x}{h} \\h \tan 29^\circ=6.3+x\\h=\dfrac{6.3+x}{\tan 29^\circ}[/tex]
From Triangle ADC
[tex]\tan 19^\circ =\dfrac{x}{h} \\h \tan 19^\circ=x\\h=\dfrac{x}{\tan 19^\circ}[/tex]
Since the values of h are the same
[tex]\dfrac{x}{\tan 19^\circ}=\dfrac{6.3+x}{\tan 29^\circ}\\\\x\tan 29^\circ=\tan 19^\circ(6.3+x)\\x\tan 29^\circ=6.3\tan 19^\circ+x\tan 19^\circ\\x\tan 29^\circ-x\tan 19^\circ=6.3\tan 19^\circ\\x(\tan 29^\circ-\tan 19^\circ)=6.3\tan 19^\circ\\x=\dfrac{6.3\tan 19^\circ}{\tan 29^\circ-\tan 19^\circ} \\x=10.3$ meters (to the nearest tenth of a meter)[/tex]
The height of the first balcony above stage level is 10.3 meters.
what is the result of dividing 48a^3 + 32a^2 + 16a by 4a? A. 12a^2 + 8a + 4 B. 12a^2 + 4a + 8 C. 12a + 8 D. 12a^2 + 4a + 4 Simplify (2x-2y)(2y+8)=? A. 4xy-4y^2 B. 4xy-16x-4y^2-16y C. 4xy+16x-4y^2-16y D. 4xy+16x+4y^2+16y Simplify (-8q^3r^4s^2)^2=? A. 64q^9r^16s^4 B. -64q^6r^8s^4 C. 64q^6r^8s^4 D. -64q^9r^16s^4 What is the result if you divide -12x^8y^8 by 3x^4y^2? A. -4x^4y^6 B. 4x^2y^4 C. 4x^4y^6 D. -4x^2y^4
Answer:
1. A. 12a^2 + 8a + 4
2. C. 4xy+16x-4y^2-16y
3. C. 64q^6r^8s^4
4. A. -4x^4y^6
Step-by-step explanation:
48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.
So, the answer is A. 12a^2 + 8a + 4.
(2x-2y)(2y+8) = 4xy - 4y^2 + 16x - 16y.
So, the answer is C. 4xy+16x-4y^2-16y.
(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.
So, the answer is C. 64q^6r^8s^4.
-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.
So, the answer is A. -4x^4y^6.
Hope this helps!
Triangle S TV was dilated with the origin as the center of dilation to form triangle S TV what is the scale factor of the dilation
Answer:
b on edunuity 2020
Step-by-step explanation:
just took the quiz
11) The Cost of maintaing a
school is party
Constant and partly varies as the number of
Pupils with 50 pupils the cost is $15705 with 40 pupils, it is $13305
find the cost when there are 44 pupils
B if the fee per pupil is 360 what is the
Least number of pupils for which the school can be run without loss
Answer:
a). Cost of 44 pupils = $14265
b). Least number of pupils = 31
Step-by-step explanation:
The given question is incomplete; here is the complete question.
The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.
(a) Find the cost when there are 44 pupils.
(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?
Let the equation representing the total cost of maintaining a school is,
C = ax + b
Where C = Total cost of maintaining a school
a = Fee per pupil
b = Fixed running cost
x = number of pupils
a). Cost of 50 pupils = $15705
Equation will be,
15705 = 50a + b -------(1)
Cost of 40 pupils = $13305
Equation will be,
13305 = 40a + b --------(2)
By subtracting equation (2) from equation (1),
15705 - 13305 = (50a + b) - (40a + b)
2400 = 10a
a = 240
From equation (1),
b = 3705
Equation representing the total cost will be,
C = 240x + 3705
If x = 44
C = 240(44) + 3705
C = $14265
b). If the fee per pupil 'a' = $360
Let the number of pupils = p
Total fee of 'p' pupils = $360p
Total cost to run the school will be = 3705 + 240p
For the school not to be in the loss,
360p ≥ 3705 + 240p
360p - 240p ≥ 3705
120p ≥ 3705
p ≥ [tex]\frac{3705}{120}[/tex]
p ≥ 30.875
Therefore, to run the school without loss, number pupils should be at least 31.
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 mins. Which graph represent the overall equation represented by this scenario
The graph is attached. :D
Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.
Stay safe and God bless!
- eli <3
Answer: for the whole test
1. C: x + y ≤ 8
2. C: third graph
3. A: first graph
4. D: fourth graph
5. D: last graph
6. D:0.85x + 1.29y < 5
7. B:6
8. B:3.2x + 0.8y ≤ 50
9. A: first graph
10. D: last graph
Step-by-step explanation:
how because i got an 100%
find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answer:
I hope it will help you......
what is a simplified form of the expression 2c + 2 + 6c – 4?
Answer:
8c - 2
I just turned it in
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Answer:
now u can mark the other person as brainlyest
Step-by-step explanation:
MATH QUESTION 15 POINTS REWARDED! best answer gets brainly
Answer:
There are two ways to find the area of this triangle. One way is to do 19.4 * h / 2 and the other way is to do 17 * 9.4 / 2. Since these are equal we can write:
(19.4h) / 2 = (17 * 9.4) / 2
19.4h = 17 * 9.4 (Multiply the equation by 2 to get rid of the denominators)
h = 17 * 9.4 / 19.4 (Divide by 19.4)
h ≈ 8.2 (Simplify)
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux
Which sets of values can be the measures of the exterior angles of a triangle? 120°, 110°, 130° 35°, 103°, 122° 123°, 87°, 220° 120°, 120°, 120° 123°, 157°, 90°
Answer:
The values are :
we khow that the sum of a triangle angles is 180° the sum of each set exterior and interior angle is 360° so 360+360+360-180 = 900 is the sum of exterior angles of a triangle we can see no set can satisfy this condition
Answer:
The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets can be the measures of the exterior angles of a triangle:
120°, 110°, 130°
120°, 120°, 120°
Step-by-step explanation:
Translate the following into an expression m% of n
Answer:
mn/100
Step-by-step explanation:
m% of n = m/100×n
= mn/100
Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Answer:
Hey there!
Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.
He split these between three parties, thus each party received 10 pizzas.
Hope this helps :)
what is the volume of a cone with a radius of 4 cm and a height of 5 cm help
Answer:
83.80 cm³
Step-by-step explanation:
volume of cone=
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
1/3×22/7×4×4×5=1760/21= 83.80 cm³
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x + 3y = 30
-2x + 3y= 3
A. (6,5)
B. (6,3)
C. (3,3)
D. (3,5)
Answer:
C
Step-by-step explanation:
7x + 3y = 30 (equation 1)
-2x + 3y = 3 (equation 2)
9x = 27 (subtract the two equations to eliminate y)
x = 3 (divide by 9)
7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)
21 + 3y = 30 (7 * 3 = 21)
3y = 9 (Subtract 21)
y = 3 (divide by 3)
Answer is (3, 3)
Answer:
(3,3)
Step-by-step explanation:
7x + 3y = 30
-2x + 3y= 3
Multiply the second equation by -1 and add together to eliminate y
7x + 3y = 30
2x - 3y= -3
---------------------
9x + 0y = 27
Divide by 9
9x/9 = 27/9
x = 3
Now find y
-2x+3y = 3
-2(3) +3y =3
-6 +3y = 3
Add 6 to each side
3y = 3+6
3y=9
Divide by 3
y = 3
efore the overtime rule in a football league was changed, among 400 overtime games, 194 were won by the team that won the coin toss at the beginning of overtime. Using a 0.10 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Does the coin toss appear to be fair?4
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 400[/tex]
The number of game won by team that won the coin toss at the beginning of overtime [tex]x = 194[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The population proportion is evaluated as
[tex]p = \frac{194}{400}[/tex]
[tex]p = 0.485[/tex]
Since the population proportion is 0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is fair then
The Null hypothesis is
[tex]H_o : p = 0.485[/tex]
and The Alternative hypothesis is
[tex]H_a : p \ne 0.485[/tex]
The test statistics is evaluated as follows
[tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]
substituting values
[tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]
[tex]t = -0.5515[/tex]
=> [tex]|t| = 0.5515[/tex]
now the critical value of [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
[tex]t_{\alpha } = 1.645[/tex]
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
please helpppppp please help please hellpppp
rogers father knows that dial it up sells data plans at $16 for 2 gigabytes and ring sells data plans at $9 for 1 gigabytes
Answer:
Dial it up : ring ring
=8:9
Step-by-step explanation:
From Dial it up= $16 per 2 gb.
ratio of gb : price
2:16
can be reduced to 1:8
this means that per each Gigabyte, you pay $8.
Ring Ring has plans of $9 per 1gb
ratio of gb to price is 1:9
And the ratio between the prices
of the companies is
Dial it up:ring ring
8:9
which means that in one company you get one gb for $8, while in the other company you get the same one gb for $9.
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
Solve the system of equations by graphing the equations y=x+2 and y=3x-2 (show work plz )
Answer:
(2, 4)
Step-by-step explanation:
You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.
Hope this helps! :)
Tom made 5,000 mL of soup. He packed 2.5 liters of the soup in his kids' lunches. He froze the rest of the soup. How many milliliters of soup did Tom have left to freeze?
Answer:
Amount of frozen soup = 2500 mL
Step-by-step explanation:
We are told that tom made 5,000 mL of soup.
We are also told he packed 2.5 Litres into his kids' lunches.
Now, from conversions,
1 liter = 1000 mL
Thus,
2.5 litres = 2.5 × 1000 = 2500 mL
Now, we are told he froze the rest of the soup.
Thus;
Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.
Amount of frozen soup =
5000 - 2500 = 2500 ml
use the scale factor 1 : 3 and a proportion to find the length of ST ???
Answer:
ST is 5
Step-by-step explanation:
Divide the larger triangle's BC by 3.
Where does AD cross the scale marked on the vertical line? What is the significance of this value in the context of the landfill problem
Answer:
AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.
Step-by-step explanation:
PLATO
AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.
If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
[tex]2^0*3^0*7*47=329[/tex]
hope this helps
Can someone help me with this question, please?
Answer:
99
Step-by-step explanation:
3/8 of 88 is 3/8 * 88 = 33.
If her number is x we can write 1/3x = 33 and when we multiply the equation by 3 to get rid of the fraction we get x = 99.
Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form. Increment x by 1 in each row. Values of x range from -2 to 2.
Answer:
y = 1/2x -3
x=-2 ⇒ y = -4
x=-1 ⇒ y = -3.5
x=0 ⇒ y = -3
x=1 ⇒ y = -2.5
x=2 ⇒ y = -2
Step-by-step explanation:
Hi, to answer this question we have to isolate y:
x - 2y = 6
-2y =6-x
y = (6-x)/-2
y = -3+1/2x
y = 1/2x -3
Now, we have to create a table with the next values (see attachment)
x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4
x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5
x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3
x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5
x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2
Feel free to ask for more if needed or if you did not understand something.
What is the solution to the equation 3 x+ 2 = -x-57
X=-8
o x=-7
o x=7
O X=8
Answer:
x = -59/4
Step-by-step explanation:
3 x+ 2 = -x-57
Add x to each side
3 x+x+ 2 = -x+x-57
4x+2 = -57
Subtract 2 from each side
4x +2-2 = -57-2
4x = -59
Divide each side by 4
4x/4 = -59/4
x = -59/4
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
Imagine you are standing near a large rectangular pool and your friend asks you how far you think it is from one corner of the pool to the other, the long (diagonal) way. Explain how you could calculate that length (without getting wet) by only measuring the length and width of the pool. Then, make up a length and width (ex. 3 ft. by 4ft... etc.)... and perform the calculations to get the diagonal!
Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]
Therefore, in this case the diagonal would be 5 ft long.
Answer:
a
Step-by-step explanation: