Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Learn more about independent variables;
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Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
please help asap !!! In the graph shown above, which line has a slope value less than −2
Answer: Line J
A is the answer
3 tons of cement cost $780.00. What is the price per pound?
Answer:
$260
Step-by-step explanation:
Divide $780.00 by 3.
780 ÷ 3 = $260
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Which is larger ? A : 13 + 1.05g B : 12 + 1.50g
Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.
Answer:
6 feet
Step-by-step explanation:
Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;
Area scale factor = [tex](linear scale factor)^{2}[/tex]
linear scale factor = [tex]\sqrt{Area scale factor}[/tex]
Area scale factor = [tex]\frac{98}{18}[/tex]
So that,
linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]
= 2.3333
The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]
= 6.0085
Therefore, the corresponding side length of polygon A is 6 feet.
what is dangerous about living for seven days on just one can of sardines?
Answer:
because you cant survive without enough food.
Step-by-step explanation:
Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer:
29 1/31 minutes
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.
Answer:66.3
Step-by-step explanation:
Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left
Answer:
2
Step-by-step explanation:
I did 8 divided by 4 which is 2.
I hope this helps.
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
201
Step-by-step explanation:
40+43+51+67=201
Answer:
its 40
Step-by-step explanation:
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
A bus can hold a total of 60 students. The bus is 73% full how many students are on the bus?
Answer:
44
Step-by-step explanation:
so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60
73%*60=43.8
but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!
hope it helps :)
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Does the graph show a proportional relationship between time and the total charge? Explain.
A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?
Answer:
-$0.26 ; $5
Step-by-step explanation:
Given that :
____________ Lose ______ Win
X =$1 _______ - $1 ________ $1
P(X) _______20/ 38 _____ 18/38
Mean, Ux = - $0.05
Standard deviation, σx = $1.00
If the wager is $5 instead of $1
Mean = Σx*p(x)
Mean = (-5 * 20/38) + (5 * 18/38)
Mean = - 2.6315789 + 2.3684210
Mean (μ) = −0.26
Standard deviation :
Sqrt(Σx²p(x) - μ²)
[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)
(13.157894 + 11.842105) - 0.0676
= 24.999999 - 0.0676
= sqrt(24.932399)
= 4.9932353
= 5
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
18 units square
Step-by-step explanation:
Given
The attached trapezium
Required
Determine the area
From the attachment, the height, h is:
[tex]h = 3\ units[/tex]
And parallel sides are:
[tex]s_1 = 3[/tex]
[tex]s_2 = 9[/tex]
So, the area is calculated as:
[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]
[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]
[tex]Area = \frac{1}{2} * 12 * 3[/tex]
[tex]Area = \frac{36}{2}[/tex]
[tex]Area = 18[/tex]
Please Help, what is the answer
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
Hi. I need help with the following questions. ( These arent multiple choice)
Layout:
1.
2.
3.
Answer:
The top blank is D. Quadrilateral
The middle blank is B. Parallelogram
The last blank if A. Square
In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074
Answer:
There is a sufficient evidence that the coefficient b1 is not zero
There is a sufficient evidence that the coefficient b2 is not zero
Step-by-step explanation:
Given
[tex]n = 30[/tex]
[tex]b_1 = 2.815[/tex]
[tex]Sb_1 = 0.75[/tex]
[tex]b_2 = -1.249[/tex]
[tex]Sb_2 = 0.41[/tex]
[tex]\alpha = 0.05[/tex]
Claim: Coefficient is zero
The null and alternate hypotheses are:
[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]
The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]
Calculate the rejection region
[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]
[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]
Calculate the degrees of freedom
[tex]df = n -2[/tex]
[tex]df = 30 -2[/tex]
[tex]df = 28[/tex]
On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:
[tex]t\ value = 2.048[/tex]
The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.
So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]
Testing the first independent variable
Calculate test statistic
[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]
[tex]t = \frac{2.815 - 0}{0.75}[/tex]
[tex]t = \frac{2.815 }{0.75}[/tex]
[tex]t = 3.753[/tex]
[tex]t = 3.753 > 2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
Testing the second independent variable
Calculate test statistic
[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]
[tex]t = \frac{-1.249 - 0}{0.41}[/tex]
[tex]t = \frac{-1.249 }{0.41}[/tex]
[tex]t = -3.0463[/tex]
[tex]t = -3.0463 < -2.048[/tex]
This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]
There is a sufficient evidence that the coefficient b2 is not zero
can somebody help me?
Answer:
D
Step-by-step explanation:
what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
y-2=-5(x-2) slope intercept form
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
If f(x) = x + 2x - 3, what is the value of f(1 + 2)?
Answer:
6
Explanation:
substituting- f(x)= (1+2) + 2(1+2) -3
3 + 2(3)-3
3+6-3
=6
HOPE IT HELPS