Answer:
A. All men
Explanation
The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14
How to solve for the probability of menThe question says we have three times as much men as women
The probability it is a man that was chosen = 3/4
The probability of choosing a woman = 1/4
a. The probability that the chosen persons are all men = (3/4)³
= 0.4219
b. The probability of 2 women and 1 man
3 * 0.75 *0.25²
= 0.14
Hence the probabilities are a. 0.4219 and b. 0.14
Read more on probability here:
https://brainly.com/question/24756209
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Which of the following options results in a graph that shows exponential growth? (2 points)
f(x) = 0.4(3)x
f(x) = 3(0.5)x
f(x) = 0.8(0.9)x
f(x) = 0.9(5)−x
Answer:
Step-by-step explanation:
The formula for exponential equations is
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. If b is greater than 1, we have growth; if 0 < b < 1, then we have decay. The only choice that shows a b value greater than 1 is the first one where b = 3. (The last one is also a decay as it can be written as
[tex]f(x)=0.9(\frac{1}{5x})[/tex] which isn't even exponential!)
What is the product?
Step-by-step explanation:
(3a^2b^7)(5a^3b^8)15a^5b^15hope it helps
stay safe healthy and happy...Answer:
Step-by-step explanation:
Multiply the numbers. For multiplying variables, if they have same variables, add the exponents.
(3a²b⁷)*(5a³b⁸) = 3*5* a²⁺³ *b⁷⁺⁸
= 15a⁵b¹⁵
Mei's average score on the first six holes in a miniature golf game was 6. her average score on the next 12 holes was 3. what was her average score on all 18 holes?
Answer:
72
Step-by-step explanation:
6*6 = 36
3*12 = 36
36 + 36 = 72
nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7
Step-by-step explanation:
there is something wrong with what your write here as problem description.
either there is something missing in the main expression, or in the answer options.
given your nth-term expression 7n-2, none of the 4 answer options can fit.
so, I thought, maybe there was a typo.
the possible interpretations of the expression could be
7n - 2
7(n-2)
[tex] {7}^{n} - 2[/tex]
[tex] {7}^{n - 2} [/tex]
we know that
a1 = 1
a2 = either
a1 + 2 = 3
a1 - 2 = -1
a1 + 7 = 8
a1 - 7 = -6
so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.
but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.
7×2 - 2 = 14 - 2 = 12
7(2-2) = 7×0 = 0
7² - 2 = 49 - 2 = 47
[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]
similar not for a3.
so, if I consider your answer options right, we have 4 possible arithmetic sequences:
1. 1, 3, 5, 7, 9, 11, 13, 15, ...
2. 1, -1, -3, -5, -7, -9, -11, -13, ...
3. 1, 8, 15, 22, 29, 36, 43, 50, ...
4. 1, -6, -13, -20, -27, -34, -41, ...
the nth term expression is for
a. an = 2n - 1
b. an = 2×(-n) + 3 = 2×(-n + 1) + 1
c. an = 7n - 6
d. an = 7×(-n) + 8 = 7×(-n + 1) + 1
so, please pick the right expression from this list, and then use the answer option with the same letter.
Suppose that X1 and X2 are independent random variables each with a mean μ and a variance σ^2. Compute the mean and variance of Y = 3X1 + X2.
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²
[tex] {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0[/tex]
Can someone solve this equation?
Answer: [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
can someone do this step by step pls:)
Answer:
23
4* 4 = 16
cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]
16 + 2.4[tex]\pi[/tex] = 23.53
Step-by-step explanation:
PLEASE HELP !!!
Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
final cost of 3 pounds: ______
final cost of p pounds: ______
Answer:
final cost of 3 pounds: 8 dollars
final cost of p pounds: 3.75p - 3.25 dollars
Step-by-step explanation:
Each pound costs $3.75, so 3 pounds cost 3*3.75 = 11.25 dollars. Subtract off the $3.25 to get the final cost to be 11.25-3.25 = 8 dollars. This takes care of the first part.
For the second part, the expression for the final cost is 3.75p - 3.25; where the 3.75p is the cost before the coupon is applied. If you plugged p = 3 into that expression, you should get 8 as a result. The variable p is some positive whole number. It's a place holder for the number of pounds of apples.
please help me with this
Answer: 312 balcony seats and 396 ground seats
Step-by-step explanation:
Multiplying the second equation by 10, we get 10b+10g=7080.
Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.
Thus, g=396.
Adya and Ashley complete a work separately in 20 and 25 days respectively. After 10 days of their working together, they both left then Amber came and completed the remaining work in 3 days. If Amber alone would do the work, calculate how many days he would take to complete the work.?
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Number of days Adya took to complete the work = 20
Work done by Adya in 1 day = [tex]\frac{1}{20}[/tex]
Number of days Ashley took to complete the work = 25
Work done by Ashley in 1 day = [tex]\frac{1}{25}[/tex]
So,
Total work by Adya & Ashley in 1 day =
[tex] \frac{1}{20} + \frac{1}{20} \\ = \frac{5 + 4}{100} \\ = \frac{9}{100} [/tex]
•°• Their total work in 10 days =
[tex] \frac{9 \times 10}{100} \\ = \frac{90}{100} \\ = \frac{9}{10} [/tex]
Now,
The work left to be completed =
[tex]1 - \frac{9}{10} \\ = \frac{10}{10} - \frac{9}{10} \\ = \frac{1}{10} [/tex]
From this we know that,
Amber completes [tex]\frac{1}{10}[/tex] of the work in 3 days.
So,
Time taken by Amber to complete the whole work =
[tex]3 \times 10 \\ = 30 \: \: days[/tex]
↦ If Amber alone would do the whole work, he would take [tex]\boxed{30 \ \ days}[/tex] to complete it.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Find the value of a if the line joining the points (3a,4) and (a, -3) has a gradient of 1 ?
Answer:
[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]
Step-by-step explanation:
We have the two points (3a, 4) and (a, -3).
And we want to find the value of a such that the gradient of the line joining the two points is 1.
Recall that the gradient or slope of a line is given by the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) is one point and (x₂, y₂) is the other.
Let (3a, 4) be (x₁, y₁) and (a, -3) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{-3-4}{a-3a}[/tex]
Simplify:
[tex]\displaystyle m=\frac{-7}{-2a}=\frac{7}{2a}[/tex]
We want to gradient to be one. Therefore, m = 1:
[tex]\displaystyle 1=\frac{7}{2a}[/tex]
Solve for a. Rewrite:
[tex]\displaystyle \frac{1}{1}=\frac{7}{2a}[/tex]
Cross-multiply:
[tex]2a=7[/tex]
Therefore:
[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]
Answer:
[tex] \frac{7}{2} [/tex]
Step-by-step explanation:
Objective: Linear Equations and Advanced Thinking.
If a line connects two points (3a,4) and (a,-3) has a gradient of 1. This means that the slope formula has to be equal to 1
If we use the points to find the slope: we get
[tex] \frac{4 + 3}{3a - a} [/tex]
Notice how the numerator is 7, this means the denominator has to be 7. This means the denomiator must be 7.
[tex]3a - a = 7[/tex]
[tex]2a = 7[/tex]
[tex]a = \frac{7}{2} [/tex]
Helppp and explain too
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
on a coordinate gride what is the distance between (1,3) and (6,15)
Answer:
13
Step-by-step explanation:
Distance between points (1, 3) and (6, 15) is 13
someone help me with my algebra homework please
Answer:
(8,2.40)
Step-by-step explanation:
the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers
Answer:
7 and 13
Step-by-step explanation:
The multiples of 91 are
1, 7, 13, and 91
Only 7 and 13 make 20
Answer:
Explanation
7x13
7x13=91
7+13=20
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
x = 2[tex]\sqrt{2}[/tex]
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{\sqrt{2}}{x}[/tex]
x=2*[tex]\sqrt{2}[/tex]
The value of x is 2[tex]\sqrt{2}[/tex]
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
Answer: Choice D) 4 over 25 square foot
This is the same as writing the fraction 4/25 of a square foot.
============================================================
Explanation:
The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.
These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.
Multiply this with the height (2/5) to get
area = base*height
area = (2/5)*(2/5)
area = 4/25 .... answer is choice D
Side note: the base and height are not always the same length.
-----------
A slightly longer approach would have you follow these steps
Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.Someone tell me where everyone is going right please !!
Answer:
1) -4(3-5x) >= –6x+9
–12+20x >= -6x+9
The choose (D)
2 ) The choose (A)
3) The choose (A) step 1
4) 1/2(n-4)-3=3-(2n+3)
n=2
The choose ( B)
5) 2.5 (5x-4)=10+4(1.5+0.5x)
x=2
The choose (C)
1. -12 + 20 > -6x + 9
2. simplify by combining like terms
3. step 1
4. n=2
5. 2
solve the following simultaneous linear equations by the substitution method.
3x + 4y = 1
2x + 3y = 1
[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:05 and arrives at 13:35. Work out the difference, in km/h, between the average speed of their trains.
Answer:
10 km/hr
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 km/hr
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 km/hr
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 km/hr - 120 km/hr
= 10 km/hr
Work out the area of the shaded shape.
Hi there!
[tex]\large\boxed{77m^2}}[/tex]
We can divide the figure into 3 rectangles.
Area of top rectangle:
5 × 5 = 25m²
Long rectangle:
14 × 3 = 42m²
Bottom rectangle:
2 × 5 = 10m²
Add up the areas:
10 + 42 + 25 = 77m²
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?
The question seems incomplete ; as the total number of tickets to be sold isn't given.
Answer:
61 / X
Step-by-step explanation:
Let's take the total Number of tickets to be sold as : X
Number of tickets sold on Thursday = 47
Number sold on Friday = 14
Fraction of tickets available for sale on Saturday :
(Total number of tickets already sold) / Total number of tickets to be sold
(Thursday + Friday sales) / total number of tickets to be sold
Fraction available for sale on Saturday = (47+14) / X
Fraction available for sale on Saturday = 61 / X
Kindly put value of x = total number of tickets available for sale to get the exact fraction.
I dont understand what to do here, can somebody help, please? 4.2 / 6 = ____ tenths / 6 4.2 / 6 ____ tenths
Answer:
sei lá, pergunta pra tua mãe
someone help me for this algebra task please
Answer:
200
Step-by-step explanation:
Substitute 15 for y
[tex] \frac{1}{5} x - \frac{2}{3} (15) = 30[/tex]
[tex] \frac{1}{5} x - 10 = 30[/tex]
[tex] \frac{1}{5} x = 40[/tex]
[tex]x = 200[/tex]
Find the coordinates of the other endpoint when given midpoint (point M) and one of the endpoints (point P). P=(3,5) and M=(-2,0)
Answer:
About Points
S = (x,y) searched point (it will be in the third quadrant )
M = (-2,0) Midpoint | SP |
P = (3,5) one end of the segment | SP |
You have to draw Cartesian.
we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .
We use the information that | SM | = | MP |
Answer : S = (-7,-5)
Step-by-step explanation:
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad \underline{Q}(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+3}{2}~~,~~\cfrac{y+3}{2} \right)=\stackrel{M}{(-2,0)}\implies \begin{cases} \cfrac{x+3}{2}=-2\\[1em] x+3=-4\\ \boxed{x = -7}\\[-0.5em] \hrulefill\\ \cfrac{y+3}{2}=0\\[1em] y+3=0\\ \boxed{y=-3} \end{cases}[/tex]
Which shows the correct solution of the equation + so, when 6-30?
Answer:
-24
Step-by-step explanation:
rest 6 minus 30 and it give you -24
Which is the equation of a line parallel to the line with the equation: y = 14x + 2
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
Estimate the number of square yards of carpeting needed to cover a floor 10'3" by 15'9.
Answer:
17.9375 square yards
Step-by-step explanation:
Let us have a common unit
What we have here is the case of inches and ft
10 ft 3 inches
1 ft = 12 inches
so 3 inches is 3/12 = 0.25 ft
= 10+0.25 = 10.25 ft
15 ft 9 in
= 15 + 9/12 = 0.75 + 15 = 15.75 ft
So let us convert to yards ;
Mathematically, 3 ft = 1 yard
so 10.25 ft = 10.25/3 = 3.4167 yards
15.75 ft = 15.75/3 =5.25 yards
So the square yards would be the product of this two;
which is;
(10.25/3) * (15.75/3) = 17.9375 square yards
x y
10 27
11 a
12 11
In order for the data in the table to represent a linear function with a rate of change of -8, what must be the value of a?
a = 2
a = 3
a = 19
a = 35
Answer:
a = 19
Step-by-step explanation:
If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.
Assistance pleaseeees?!!
Answer:
Step-by-step explanation:
