Answer:
.33
Step-by-step explanation:
m=male
f=female
a=attended the review
P(A|M)= .2
P(A|F)= .4
We want: F∩A+M∩A
Recall the conditional probability formula (A|B)=(A∩B)/B
.2*.35+.4*.65= .33
12a
A boy is standing on the very edge of a cliff that is 58.8 m high. The boy throws a rock straight up in the air at 7.36 m/s. (a) What is the rock's velocity when it hits the ground? (use up as the positive direction)
How long (from the time it was thrown) will it take for the rock to hit the ground?
What is the total distance traveled by the rock?
Answer:
The exact same from when it went up
Step-by-step explanation:
it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head
2b with a exponent of 3 +5
Answer:
2b[tex]^{8}[/tex]
what value of x makes the following equation true?
Answer:
12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps! :D
what is the product of -6 and -54
Answer:
324
Step-by-step explanation:
- 6 × - 54 = 324
Note : -
When a negative number multiplied with another negative number, its result is a positive number.
Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?
Answer:
1kg of onion is $1.5
Step-by-step explanation:
He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:
10 - 1.5 = $8.50
Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):
x -0.5 = y
x - y = 0.5 ---- Eq 1
Equating the total costs:
2x + 3y = 8.5 ---- Eq 2
Multiplying Eq 1 by 2:
2x - 2y = 1 ---- Eq 1'
Subtracting Eq 2 from Eq 1':
2x - 2x +3y - (-2y) = 8.5 - 1
5y = 7.5
y = 1.5
Substituting this into the first equation:
x - 1.5 = 0.5
x = 2
Hence,
the cost of the Potato is $2, and
the cost of the Onion per kg is $1.5
Hope this helps, and have a wonderful time ahead on Brainly!
Given f(x)=3x-4 and g(x)=-2x+7 evaluate
Step-by-step explanation:
e...
First;
g(5)=-2×5+7=-3
then
f(g(5))=3×-3-4=-9-4=-13
f...
g(2)=-2×2+7=3
now
g(g(2))=-2×3+7=1
For a quadrilateral ABCD inscribed in a circle of radius 1, let AB : AD = 1 : 2 and ∠BAD = 120°. Also, when the point of intersection of diagonals BD and AC is denoted by E, let BE : ED = 3 : 4. Please find the area of triangle ABD and triangle BCD. (Show work)
The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD = y * √(5x² + 4y² - 2xy√5)
To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height
In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.
Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:
BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)
BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)
Simplifying the equation:
BD² = x² + 4x² - 4x² * (-1/2)
BD² = 5x²
Taking the square root of both sides:
BD = √(5x²) = x√5
Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.
Now, we can find the length of side BC. In triangle BCD, we have:
BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)
BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)
BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)
Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.
BC² = 5x² + 4y² - 4xy√5 * cos(60°)
BC² = 5x² + 4y² - 4xy√5 * (1/2)
BC² = 5x² + 4y² - 2xy√5
The area of triangle ABD is given by:
Area ABD = (1/2) * AB * AD * sin(∠BAD)
Area ABD = (1/2) * x * 2x * sin(120°)
Area ABD = x² * √3 / 2
The area of triangle BCD is given by:
Area BCD = (1/2) * BC * CD * sin(∠BCD)
Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)
Area BCD = y * √(5x² + 4y² - 2xy√5)
Further calculations require numerical values for x and y to obtain specific areas.
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Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)
Hello,
Correct Answer is 12/3
Step-by-step explanation:-For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.
The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-
[tex]sin \: θ = \frac{12}{3} [/tex]
So, sine ratio angle is 12/3.
{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }
✍️ By Benjemin ☺️
Find the product of the sum of 52 and 18 and the difference of 86 and 41.
Answer:
2450
Step-by-step explanation:
52+18=70
86-41=45
70×45=2450
The product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the sum of 52 and 18 and the difference of 86 and 41.
We can write the expression as -
{x} = (52 + 18) x (86 - 41)
{x} = 70 x 45
{x} = 3150
Therefore, the product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
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Enter the correct answer in the box
Simplify the expression (62)4
Answer:
62•4=248
[tex]63^{4} =2^{24}[/tex]
Step-by-step explanation:
I didn't know which one you needed so here's both.
You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 2016
20
16
is in the simplest form.
Answer:
false
Step-by-step explanation:
Given that the remaining suitcases is 20
And 16 of the remainig suitcases will be further marked down, then the simplest form will be;
16/20.
What is the missing reason for the 5th step in the proof below?
A: Substitution
B: Simplification of equation from previous step
C: Definition of linear pair
D: Definition of complementary angles
Answer: B
Step-by-step explanation:
please help!!!! will mark brainlist! am I right??
Answer:
you are corcect
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:
45∘
Step-by-step explanation:
So, the reference angle is 360∘−315∘=45∘
Hope this helps! :D
Which data set has the same standard deviation as the data set {2, 2, 5, 6, 8} ?
{3, 4, 4, 7, 7}
{5, 6, 5, 6, 5}
{3, 3, 6, 7, 9}
{4, 4, 5, 5, 5}
Answer:
{3, 3, 6, 7, 9}
K to the power of negative 2 multiplied by 2
Answer:
2k-²
Step-by-step explanation:
i hope this is the answer ur looking for !
PLEASEEEEEEE HELLPPPPP
Answer:
a) 3.5metres
b) 34metres
Solve.
2(y + 7) = 28
Answer:
Answer:
y=7
Step-by-step explanation:
The following are data on number of policemen and number of crimes. Find out if there is a correlation between these two variables. NumPolice NumCrimes 15 17 17 19 25 16 27 20 17 12 12 15 12 11 22 27 Using the test of correlation, What is the correct interpretation of the correlation coefficient in this example?
a. The interpretation would be there is a moderate positive correlation between number of policemen on duty and number of crimes
b. The interpretation would be there is a strong negative correlation between number of policemen on duty and number of crimes
c. The interpretation would be that TNOETS that there is a correlation between number of policemen on duty and number of crimes.
d. The interpretation would be that there is a strong positive correlation between number of policemen on duty and number of crimes
round 0.25 to the nearest hundredth
Answer:
0.25
Step-by-step explanation:
there is no hundredth in 0.25
Rounding 0.25 to the nearest hundredth gives us 0.26.
We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.
We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.
Thus, 0.26 is obtained by rounding 0.25 to the next tenth.
0.25 (initial number) worked
(Number in the thousandth place) (Number in the hundredth position)
We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.
Hence rounding to the nearest hundredth, 0.25 equals 0.26.
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5,339x6= What is the estimate
- BRAINLIEST answerer ❤️
Two trains leave towns 840 miles apart at the same time and travel toward each other. One train travels 20 mi/h slower than the other. If they meet in 5 hours what is the rate of each train?
x : y : z = 2 : 3 : 5 và x-y+3z= -28
Answer:
2 - 3 + 15 = 14
Step-by-step explanation:
What is the distance between the points (−7, −3) and (−7, −9) ?
A 12 units
B 10 units
C 6 units
D 4 units
Answer:
C. 6 unitsStep-by-step explanation:
Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:
d = -3 - (-9) = -3 + 9 = 6Correct choice is C
Distance
[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36}[/tex]
[tex]\\ \sf\longmapsto 6[/tex]
John bought a quart of ice-cream for $4.80. How much does the ice-cream cost per cup? 1 guart = 4 cups
Answer:
each cup is $1.20 each
Step-by-step explanation:
hope this helps
Explain the steps you would take to find a quotation of 1/3÷4/3
Answer:
Answer btw is 1/4 ;)
Step-by-step explanation:
First step in dividing fractions is to flip the second fraction, aka find the inverse.
[tex]\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}[/tex]
All you have to do from here is multiply.
[tex]\frac{3}{12}=\frac{1}{4}[/tex]
Boom.
How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 4% simple interest. Round your answer to the nearest cent.
50,000
hope it helps you
A sports marketing company interviewed 250 Supersport United fans and has found that the average fan spends R101 on non-ticket purchases at the stadium when he/she attends a home match. This includes money spent on food, drinks and merchandise. Assume that the standard deviation is R39.
Find the lower and upper limits for the average amount spent on non-ticket purchases per match by Supersport United fans. Use a confidence level of 90%. Round off your answers to 2 decimal places (4)
The 90% confidence interval is between R96.94 and R105.06
The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645
The margin of error (E) is given by:
[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]
The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)
Therefore the 90% confidence interval is between R96.94 and R105.06
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Solve for x
(8x-29)+(3x-1)+(6x-11)=180
Answer:
x= 13
Step-by-step explanation:
can i please get branlist? if not thats okay.
need help asap on 9, 10,and 11
Step-by-step explanation:
9. a)
2•(-2) = 2 - 6
-4 = -4
-2 -2 = -2•2
-4 = -4
Yes, the ordered pair is the solution
9. b)
-1 = 3•(-2) +5
-1 = -6 +5
-1 = -1
3•(-2) +(-1) = -2
-6 -1 = -2
-7 ≠ -2
No, the ordered pair is not the solution
10. (-1, -1) and (3, -1)
11.
y = 6 +x
Now substitute it in the first equation:
3•(6 +x) = 5x
18 + 3x = 5x
18 = 2x
x = 18/2
x = 9
Now, substitute x = 9 in the second equation:
y -9 = 6
y = 6 +9
y = 15