Answer:
1. False
2. True
Step-by-step explanation:
There are three cards. One is green on both sides, the second is red on both sides and the third is red on one side and green on the other. We choose a card at random and we see one side (also chosen at random). If the side we see is green, what is the probability that the other side is also green
Answer:
0.667
Step-by-step explanation:
According to Bayes theorem:
Since there are three cards, the probability that the side is green = 1/3
For the first card, if one side is green, the probability that the other side is also green = 1 (both sides are green)
For the second card, if one side is green, the probability that the other side is also green = 0 (both sides are red)
For the third card, if one side is green, the probability that the other side is also green = 1/2 (one side is green and the other side is red)
[tex]P(G_k/A)=\frac{P(G_k)P(A/G_k)}{\Sigma_{i=1\ to\ m} P(G_i)P(A/G_i)} \\P(B_1/A)=\frac{P(G_1)P(A/G_1)}{P(G_1)P(A/G_1)+P(G_2)P(A/B_2)+P(G_3)P(A/G_3)}\\ P(B_1/A)=\frac{1/3*1}{(1/3*1)+(1/3*0)+(1/3*1/2)=\frac{1/3}{1/2} }=0.667[/tex]
(ANSWER ASAP) Which table represents a linear function? graph 1 graph 2 graph 3 graph 4
Answer:
D)
Step-by-step explanation:
Use desmos in the future to help you determine if all of those coordinate make a straight line.
what is the slope of A line that passes through the points (−1, 2) and (3, 10)
Answer:
2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(10-2) / (3-(-1))
8/(3+1)
8/4
2
Answer:
2
Step-by-step explanation:
(x¹, y¹) (x², y²) = (-1,2) (3,10)
Slope = (y²-y¹) ÷ (x²-x¹)
= (10 - 2) ÷ (3 -(-1))
= 8 ÷ 4
= 2
The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *
Answer:
[tex]Area = 336\ m^2[/tex]
Step-by-step explanation:
If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.
Then, if the perimeter is 84 m, we have:
[tex]P = 13x + 14x + 15x = 84[/tex]
[tex]42x = 84[/tex]
[tex]x = 2[/tex]
The length of each side is:
[tex]13x = 26\ m[/tex]
[tex]14x = 28\ m[/tex]
[tex]15x = 30\ m[/tex]
Now, to find the area of the field, we can use the following formula:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]
Where a, b and c are the sides and p is the semi perimeter:
[tex]p = P/2 = 42\ m[/tex]
So we have that:
[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]
[tex]Area = 336\ m^2[/tex]
what is two plus two
Answer:
4 is the answer to your question
Step-by-step explanation:
Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. One has 99% confidence that the sample proportion is equal to the population proportion.
B. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. 99% of sample proportions will fall between the lower bound and the upper bound.
Answer:
Step-by-step explanation:
Confidence interval for population proportion is expressed as
(Sample proportion ± margin of error). Thus, the sample proportion is used to estimate the population proportion. The confidence interval has lower bound and upper bound values. It does not tell probability but how confident we are. Therefore, a statement that correctly interprets the confidence interval is
C. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent uses? (67)(72)(51)(42)(73)(64)(60)(20)(69)
Answer:
He needs just 13 pages
That is round up to not more than 20 pages will be the smallest
Step-by-step explanation:
Vincent wants to put 75 photograph in an album.
And a full page holds 6 photo graphs.
If 6 photographes is one page
Then 75 photographes =( 75*1)/6
75 photographes = 75/6
75 photographes= 12.5
12.5 pages will hold 75 photographes but nothing like 12.5 pages.
To the nearest page = 13 pages
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
the function has two real roots and crosses the x axis in two places.
Step-by-step explanation:
Using the general quadratic formula;
[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]
for a quadratic equation
[tex]ax^2 +bx+c=0[/tex]
given the quadratic function below;
[tex]G(x) = -x^2 +4x+2[/tex]
the roots of the equation can be calculated by applying the quadratic formula.
[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]
Therefore, the function has two real roots and crosses the x axis in two places.
Attached is the graph of G(x) for more understanding.
I need help please! The sequence 6,18,54,162, ... shows the number of pushups Kendall did each week, starting with her first week of exercising (a) What is the recursive rule for the sequence (b) What is the iterative rule for the sequence
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r ^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r ^ⁿ⁻¹
a₂₀ = 6 · 3 ^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802
work out the values of a to e please
Answer:
Step-by-step explanation:
a=10 (4,0,2,4,3,1,2,3,1,4)
b=4 (7,5,6,9)
c=6 (13,13,13,10,13,12)
d= 5 (17,16,17,17,16)
e=6 (21,23,20,20,21,23)
Find the value of y.
168
X
y = [? ]°
Answer:
Y=96Step-by-step explanation:
The required value of y = 192°.
In a circle angle angle of arc x =168°. Angle of arc y is to be determine.
The angle can be defined as line inclined over other line by certain measure called angle.
Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°
Thus, the required value of y = 192°.
Learn more about Angles here:
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Please help i will give out brainliest
Answer:
A
Step-by-step explanation:
To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is
A
y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line
B
y = (- 1)² = 1 ← lies on line
C
y = 4² = 16 ← lies on line
D
y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line
The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:
Answer:
x = 12
m(∠B) = 45°
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.
Angles A and B are the "Alternate exterior angles" which will equal in measure.
m(∠A) = m(∠B)
(5x - 15) = (2x + 21)
5x - 2x = 15 + 21
3x = 36
x = 12
Since, m(∠B) = (2x + 21)
= (2×12) + 21
= 24 + 21
= 45°
Therefore, x = 12 and measure of angle B will be 45°.
Please help I will give out brainliest
Step-by-step explanation:
5.[tex]N^{2}[/tex]=5.3^2.5^4.x^6=3^2.5^5.x^6
Answer:
[tex]5N^2=3^2\times5^2\times x^6[/tex]
Step-by-step explanation:
N=3×5²×x³
Then:
[tex]5N^2=5(3\cdot5^2\cdot x^3)^2=5\cdot3^2\cdot5^{2\cdot2}\cdot x^{3\cdot2}= 5\cdot3^2\cdot5^{4}\cdot x^6=5^{1+4}\cdot3^2\cdot x^6=5^5\cdot3^2\cdot x^6[/tex]
Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line segment AB are located at (0, -7) and (8, 8), what is the length of line segment A'B' ? Use the distance formula to help you decide: PLEASE HELP!!!
Answer:
34
Step-by-step explanation:
A = (0, -7)
A' = (0, -14)
B = (8, 8)
B' = (16, 16)
Distance formula = [tex]\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}[/tex]
= [tex]\sqrt{16^{2} + 30^2}[/tex]
= [tex]\sqrt{1156}[/tex]
= 34
cual es la secuencia creciente de los divisores primos de 2520
Answer:
The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"
Step-by-step explanation:
Given:
2520
Prime factor=?
Prime factor of 2520 is:
[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]
1. What is the equation for the following graph
use photo for graph
x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..
please mark it as brainliest ❤️❤️ and follow me..
Answer:
x=5 is the answer
Step-by-step explanation:
hope this helped
Anybody pls solve this question and explanation btw.
Answer:
[tex]Vol=883.6875\,\, cm^3\\[/tex]
Step-by-step explanation:
Recall that the volume of a whole sphere is given by the formula:
[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]
then, the volume of a semi-sphere would be half of the formula above:
[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]
help plz quick i will mark u brainllest
Answer:
1st one
Step-by-step explanation:
I don't do explanations just answer it mate.
Answer:
hi! your answer should be C. CA ≈ EC
Step-by-step explanation:
"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)
Liam had $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.
Answer:
The answer is 600-p/24
Step-by-step explanation:
What is the area of the triangle in the diagram?
Answer:
[tex]\frac{(a-b)^2+b^2}{a^2}[/tex]
which agrees with the first choice (A) in your list of possible answers
Step-by-step explanation:
Notice that the area of the outer square is given by the square of it side [tex](a)[/tex].Then the outer area is given by: [tex]a^2[/tex]
Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:
[tex]Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}[/tex]
Therefore the internal square's area is:
[tex]a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2[/tex]
And then the quotient of this are over the larger square area becomes:
[tex]\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}[/tex]
Which best describes how the graph of g(x) =1/9sqrt(x) relates to the graph of the parent function, f(x) =sqrt(x) ? The graph of g(x) is shrunk vertically by a factor of 1/9. The graph of g(x) is stretched vertically by a factor of 1/9. The graph of g(x) is shrunk vertically by a factor of 1/3. The graph of g(x) is stretched vertically by a factor of 1/3.
Answer:
The graph g(x) is vertically shrunk by a factor of 1/9.
Step-by-step explanation:
Parent Graph: f(x) = a√(bx - c) + d
Since we are only modifying a, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.
The correct description is:
"The graph of g(x) is shrunk vertically by a factor of 1/9"
How do dilations work?
There are two types of dilations.
Vertical dilation:
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.
Horizontal dilation:
For a function f(x), a horizontal dilation of scale factor k is wrtten as:
g(x) = f(x/k).
Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.
Here we have:
f(x) = √xg(x) = (1/9)*√xSo we can see that g(x) is a vertical contraction of scale factor 1/9.
Then the correct option is:
"The graph of g(x) is shrunk vertically by a factor of 1/9"
If you want to learn more about dilations, you can read:
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What is the original price of a packet of biscuits bought for Rs230 including 6% tax
Answer:
Rs216.98
Step-by-step explanation:
If Rs230 is including the 6% tax then 230 = 106%
230 / 106 = 1% = 2.1698
2.1698 X 100 = 100% = 216.98
The original price of a packet of biscuits will be Rs216.98.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.
The original price will be calculated as below:-
If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-
230 = 106%
Then 1 percent will be equal to the ratio of 230 and 106 as below,
1% = 230 / 106= 2.1698
Divide 230 by 106 and to calculate the original price multiply by 100.
2.1698 X 100 = 100% = Rs216.98
Therefore, the original price of a packet of biscuits will be Rs216.98.
To know more about percentages follow
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Consider the following 8 numbers, where one labelled x is unknown. 14, 22, 34, x , 34, 46, 21, 38 Given that the range of the numbers is 66, work out 2 values of x .
Answer:
x=-20 or x=80
Step-by-step explanation:
you can either make it so 46 remains the largest number and so take 66 from 46 (=-20) or you can leave 14 as the smallest number and add 66 to 14(=80)
It costs $1.58 to buy a bag of popcorn. Which of the following equations shows the amount of money needed, z, to buy n bags of popcorn? z = 1.58 + n n = 1.58 + z z = 1.58n n = 1.58z
Answer:
z = 1.58n
Step-by-step explanation:
To find the total amount (z), the cost of a bag (1.58) must be multiplied by the number of bags (n).
z = 1.58n
Answer:
1.58 times the number of bags you're buying will give you how much money it all is: z=1.58n
Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3
Answer:
x = 35/22
y = 3/22
Step-by-step explanation:
y= 2/5x-1/2 ................(1)
y=-1/3x+2/3 ...............(2)
10*(1)
10y = 4x -5 ...................(1A)
3*(2)
3y = -x +2 ....................(2A)
To find intersection, solve for y & x
4(2A) + (1A)
12y+10y = -4x+4x +8-5
22y = 3
y = 3/22
Substitute in (1)
3/22 = 2/5x -1/2
multiply by 110
15 = 44x - 55
70 = 44x
x = 70/44 = 35/22
Please can you help me, it would be greatly appreciated.
Answer:
20 cm^2.
Step-by-step explanation:
If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.
So each side will have a length of 2 * 1 = 2 centimeters.
It will consist of 5 squares of dimension 2*2 = an area of 4 cm^2
So the area of the new cross is 5*4 = 20 cm^2.
We can also calculate the area directly by multiplying by 2^2 ( the scale factor)squared.)
The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.
which of these figures does NOT have line symmetry
Answer:
Figure D does not have line of symmetry
Answer:
You are correct, it is D
Step-by-step explanation:
Find the volume of the cone.
Radius: 3 m, Slant Height: 5 m
Round to the nearest whole number.
Volume =[?] m3
Answer:
Volume of cone = 37.7m^3
Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57x + 1.95 37.57x + 1.95x 37.57 + 1.95 + x 37.57 + 1.95x
Answer:
37.57 + 1.95x
Step-by-step explanation:
The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.
I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.
Have a great day, and best of luck for your math problem!