Answer:
The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
Step-by-step explanation:
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.
So, Number of candidates required = 4
Total number of candidates = 15
Number of candidates which are members of the debate team. = 8
So, Number of candidates which are not the members of the debate team = 15-8 =7
The probability that all of the offices are filled by members of the debate team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]
The probability that none of the offices are filled by members of the debate team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]
Hence The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
The temperature on Monday was - 23 F . The temperature on Tuesday was 18 degrees higher. What was the temperature on Tuesday?
Answer: the Temperature on Tuesday is 13 degrees Celsius
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?
Answer:
D)She may not be correct because means cannot be determined from Box plots.
Step-by-step explanation:
Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,
Box plot tells us about :
1) Mininmum value
2) 25th Percentile value
3)Median
4) 75th Percentile value
5)Maximum value
6) Interquartile Range
Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.
So,Option D is true
She may not be correct because means cannot be determined from Box plots.
Answer:
She may not be correct because means cannot be determined from the box plots
Step-by-step explanation:
What is the factored form of x2 - 9x + 20?
Answer:
(x - 4) (x - 5)
Step-by-step explanation:
Factor the following:
x^2 - 9 x + 20
The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):
Answer: (x - 4) (x - 5)
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
Graph the linear equation.
Answer:
Look at the image
Step-by-step explanation:
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
The value of 3⁵ ÷ 3-⁶
Answer: 33
Step-by-step explanation:
First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.
Next we have to figure out what 3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.
Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.
Hope this helped :)
The value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
We have - [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
We have to find its quotient.
Evaluate the following expression - [tex]\frac{a^{n} }{a^{m} }[/tex].You can simplify the expression as follows -
[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]
According to the question, we have -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]
Using the rule mentioned above, we can solve this as -
[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]
Expanding [tex]3^{11}[/tex] = 177147
Hence, the value of [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex] is 177147.
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What is the ratio of quadrilaterals to shapes?Write the ratio as a fraction using the / symbol.
If the side on one shape is a and the side on the other shape is b, a common ratio between the two shapes r will exist so that a = b × r. Thus, to find a common ratio simply divide one corresponding side's length by the other: r = a ÷ b. It's as simple as that.
the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3
Answer:
the correct answer should be -2.65
Step-by-step explanation:
the mistake is dividing 17y by 15 instead of 17
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
Please help me asap ty
Step-by-step explanation:
First, I would work out the missing angle:
25° + 90° (right-angle) = 115°
180° - 115° = 65°
The missing angle is 65°.
-I'm too dumb and don't remember how to work out the rest but I hope I helped a bit
Answer:
Side AB = 4.41
In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?
Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
How many years will Matt need to invest $4200 to earn $200 interest, if the simple interest rate is 2.5% p.a.? Round the answer to the nearest year
Answer: 2 years
Step-by-step explanation:
SI = prt / 100
200 = ( 4200 x 2.5 x t) / 100
200 = 105 t
t = 200/105 = 1.9
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
What is the surface area of the shaded front face of the composite solid?
A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters
QUESTION 6
Answer:
26
Step-by-step explanation:
the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.
By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.
How to find the shaded area?Remember that for a rectangle of length L and width W, the area is:
A = L*W
Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.
These are (reading from left to right).
Rectangle of 2cm by 4cmRectangle of 3cm by 2cmRectangle of 3cm by 4cm.So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:
A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²
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Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)
Answer:
m= -1
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]
Plzzz answer ASAP. Plzz answer ALL three a,b,c
Answer:
I hope it helps . For any clarification , Please notify me through the comment section .
Step-by-step explanation:
[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]
Jamie spent
$196.76 on groceries this week. Of her total,
$16.15 was spent on taxes. What percentage of her total was spent on taxing?
Does anyone know the answer?
[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]210 \: \: \: degrees[/tex]
Step-by-step explanation:
Two equilateral triangles and a square are join together.
So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.
Also in a square all the angles are equal . it measures 90 degrees.
x = two triangle = 60 +60
square = 90
[tex]60 + 60 + 90 \\ = 210[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
The two lines graphed below are parallel. How many solutions are there to the
system of equations?
A. TWO
B. Zero
C. Infinitely many
D. One
Answer:
Zero
Step-by-step explanation:
Option C is correct, there are Infinitely many solutions are there to the system of equations.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The two lines are parallel, they have the same slope, which means that m is the same for both equations.
Therefore, the system of equations can be simplified to:
y = mx + b₁
y = mx + b₂
Subtracting the two equations, we get:
0 = b₁ - b₂
This means that the y-intercepts of the two lines are equal.
The two lines coincide with each other, and there are infinitely many solutions to the system of equations.
Hence, Option C is correct, there are Infinitely many solutions are there to the system of equations.
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whats 1- 4/6 pls tell me the answer pls don't write weird thing just to get points
Answer:
1- 4/6 = 2/6 or 1/3.
Answer:
1/3
Step-by-step explanation:
1 - 4/6
Replace 1 with 6/6
6/6 - 4/6
2/6
Divide the top and bottom by 2
1/3
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
Help please someone
Answer: 751 points
Step-by-step explanation:
454 + 297 = 751
Answer:
751
Step-by-step explanation:
-297 + 454 = 751
Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.
What is the slope of the line? 2x+4y=6-y
Answer:
m= -2/5
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope m.
Answer:
-2/5
Step-by-step explanation:
plz mark brainliest!
describe to a friend how to graph a point at (2,5)
Answer:
So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!
Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it
Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance of 5 from y-axis.
What are the co-ordinates of a point in a graph?A point has two inputs namely the x-coordinate and y-coordinate. The x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.
Given point is (2,5)
Plot x=2 at a perpendicular distance from y axis measured along positive x axis
plot y=5 at a perpendicular distance from x axis measured along positive y axis
and we get the required point.
The point (2,5) is plotted in the graph attached with the answer.
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ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f+ g(x).
O A. 5x-3
O B. x-1
O c. x-3
O D. 5x-1
SUBMIT
Plzzz helpp
Answer:
5x-1
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
f(x) + g(x) = 3x-2 +2x+1
Combine like terms
= 5x-1
Answer:
(f+g)(x)=5x-1
Step-by-step explanation:
To find (f+g)(x), add f(x) and g(x)
f(x)+g(x)
We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.
f(x)=3x-2
g(x)=2x+1
(3x-2)+ (2x+1)
Combine like terms. Add all the terms with a variable, then all the terms without a variable
(3x+2x)+(-2+1)
5x+(-2+1)
5x-1
(f+g)(x)=5x-1
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
Answer the question below
Answer:
a) The modal average is 3 bedrooms
b) The mean number of bedrooms is 2.825, or 3 rounded.
Step-by-step explanation:
If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.
For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.
What is the correlation coefficient for the data shown in the
table?
0
1
оооо
4
5
Answer:
1
Step-by-step explanation: