Answer:
4368 ways
Step-by-step explanation:
We want to choose 5 objects,without replacement from 16 distinct objects.
We can use combination in this case. The formula for the combination is given by :
[tex]_{n}C_r=\dfrac{n!}{r!(n-r)!}[/tex]
We have, n = 16 and r = 5
So,
[tex]_{16}C_5=\dfrac{16!}{5!(16-5)!}\\\\_{16}C_5=\dfrac{16!}{5!11!}\\\\=4368[/tex]
So, there are 4368 ways in which we want to choose 5 objects,without replacement from 16 distinct objects.
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.
how many blue marbles are in the bag?
Select one:
6
30
15
20
Answer:
20 is it's right answer I think ok
write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Answer:
y=-2x+7
Step-by-step explanation:
Hi there!
The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We are given the slope (-2) and a point (3,1)
We can immediately substitute -2 as the slope in the equation
y=-2x+b
Now we need to find b
Because the line will pass through the point (3,1), we can use it to solve for b
Substitute 3 as x and 1 as y
1=-2(3)+b
multiply
1=-6+b
add 6 to both sides to isolate b
7=b
Substitute 7 as b into the equation
The line is y=-2x+7
Hope this helps!
Find the surface area of the prism.
Answer:
D
Step-by-step explanation:
Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2
Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft
LA= base perimeter x 24 = 36 x 24 = 864 ft^2
SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2
What is X? (I forget how to do this)
Answer:
180-35=145
x=145
*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.
x = 180 - 35
x = 145.
Find the exact value of tan A in simplest radical form
Answer:
tan A = 4 / 7
Step-by-step explanation:
tan A = opp side / adjacent side
tan A = 4 / 7
There are 6 different cookies on a plate. James will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose from the 6?
Answer:
15
Step-by-step explanation:
He could choose 1 & 2, 1 & 3, 1 & 4, 1 & 5, 1 & 6, 2 & 3, 2 & 4, 2 & 5, 2 & 6, 3 & 4, 3 & 5, 3 & 6, 4 & 5, 4 & 6, 5 & 6
a point has the coordinates (0,k) what is reflection of the point will proceed in a image at the same coordinates (0,k)
Answer:
A reflection of the point across the y-axis
I’ll mark brainliest
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
he monthly sales of furniture stores in Dubai were collected and summarized. The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively. The distribution of the monthly sales is
symmetrical.
none of the above.
positively skewed.
negatively skewed.
Given:
The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.
To find:
The distribution of the monthly sales.
Solution:
We know that,
For symmetrical distribution, mean is equal to median.
For positively skewed distribution, mean is greater than median.
For negatively skewed distribution, mean is less than median.
We have,
Mean of the monthly sales = 130,000 AED
Median of the monthly sales = 170,000 AED
Here, Mean is less than the median because 130,000 < 170,000.
Therefore, the distribution is negatively skewed. Hence, the correct option is D.
If 81 is added to a number the result is 39 less than three times the number
let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
Answer:
60
Step-by-step explanation:
number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
What is a statistical error?
Answer:
Statistical error is the difference between the estimated or approximated value and the true value.
Two Possible Types of Statistical Error
Type I Errors occur when we reject a null hypothesis that is actually true; the probability of this occurring is denoted by alpha (a).
Type II Errors are when we accept a null hypothesis that is actually false; its probability is called beta (b).
Example
You test whether a new drug intervention can alleviate symptoms of an autoimmune disease.
A Type I error happens when you get false positive results: you conclude that the drug intervention improved symptoms when it actually didn’t. These improvements could have arisen from other random factors or measurement errors.
A Type II error happens when you get false negative results: you conclude that the drug intervention didn’t improve symptoms when it actually did. Your study may have missed key indicators of improvements or attributed any improvements to other factors instead.
A construction worker wants to make a walkway out of concrete pads. Each pad will be
3 ft x 3 ft x 4 in. The walkway is to be 36 feet long and 3 feet wide. If concrete costs
$125 per yd, how much will the concrete for the walkway cost (plus HST)? The
construction worker has been told only whole cubic yards of concrete can be purchased,
part yd cannot be purchased.
9514 1404 393
Answer:
$250 +HST (HST is undefined here)
Step-by-step explanation:
It seems easiest to convert all linear dimensions to yards. A yard is 3 feet, or 36 inches, so each pad is 1 yard square by 1/9 yard thick. Then the volume of a pad is (1 yd)(1 yd)(1/9 yd) = 1/9 yd³.
The walkway is 12 yards long and 1 yard wide, so will require 12 pads.
The total volume of concrete required for the walkway is ...
(12 pads)(1/9 yd³/pad) = 12/9 yd³ = 1 1/3 yd³
Only whole cubic yards can be purchased, so 2 are needed.
The cost is ...
($125/yd³)(2 yd³) = $250 . . . cost of material for the walkway
__
The HST rate is not given here, so we cannot compute the amount of added tax.
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
769 691 699 730 711 765 702 718 719 712 768 688 757 695 768 735 709 758 708 693 736 700 687 772 715
Required:
a. What are the range and standard deviation?
b. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.
Answer:
[tex]Range = 85[/tex]
[tex]\sigma = 28.71[/tex]
[tex]Interval = [666.78, 781.62][/tex]
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:
[tex]Range = Highest - Least[/tex]
From the dataset:
[tex]Highest = 772[/tex]
[tex]Least = 687[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 772-687[/tex]
[tex]Range = 85[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
First, calculate the mean
[tex]\bar x = \frac{769 +691 +............+715}{25}[/tex]
[tex]\bar x = \frac{18105}{25}[/tex]
[tex]\bar x = 724.2[/tex]
So, the standard deviation is:
[tex]\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}[/tex]
[tex]\sigma = \sqrt{\frac{20604}{25}}[/tex]
[tex]\sigma = \sqrt{824.16}[/tex]
[tex]\sigma = 28.71[/tex]
Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
[tex]Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma][/tex]
[tex]Interval = [724.2 - 2*28.71, 724.2 + 2*28.71][/tex]
[tex]Interval = [666.78, 781.62][/tex]
WILL MARK YOU IF YOU CAN HELP plz help me understand this to or add one of my socials to help me with geometry:(
Insta:aesthetictoxicbabe
Snap:Toxicangelbby
Answer:
17x + 2 = 16x+6
17x-16x= 6-2
x=4
Answer:
5.21212121
Step-by-step explanation:
The first thing to keep in mind is that a line is equal to 180. The first thing you sould start off by doing is write 17x+2+16x+6. Then to make it easier combine the like terms. Both combine 17x + 16x to get 33x, and 6 and 2 to get 8. Now the problem should be 33x + 8 = 180. Next we will take away 8 from both sides. This should eliminate 8 for us and give us 33x=180 as our next problem. Finally you will do the opposite of multiplying which is diving. 33 divided by itself gives us 0. So we will divide 172 by 33 to get 5.21212121.
YOU MAY PLUG THIS NUMBER BACK IN TO CHECK YOUR ANSWER.
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answer:
t think the answer is 1040.
Only answer if you're very good at Math.
Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = (x + 1)^2
C: ( g o f) (x) = x ^ 2 + x + 1
D: ( g o f) (x) = x^2 (x + 1)
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Please help !!!!!!!!!!!!!!!!!
.....................................:.
Answer:
..........................................................................................................................................................................
Answer:
um..BG should also be equal to 12 I guess
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
PLEASE HELP! WILL MARK BRAINLIEST!
Answer:
at first put the value of X
after that do the equation.
Step-by-step explanation:
hope it will help you
Answer:
a = 2
Step-by-step explanation:
substitute x with the number 5.
5+8a=25+5a-7a
subtract 5a from both sides
5+3a=25-7a
add 7a to both sides
5+10a = 25
subtract 5 from both sides
10a=20
divide both sides by 10
a = 2
Help me asap!!pleaseeee
Answer:
a
Step-by-step explanation:
yes
Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT
Answer:
The margin of error is of 20, option B.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds, divided by 2.
In this question:
Lower bound: 200
Upper bound: 240
Margin of error:
(240 - 200)/2 = 40/2 = 20
The margin of error is of 20, option B.
Help PLSSSSS I will give you Brainlyist
I suck at math it should be easy
Answer:
11
Step-by-step explanation:
44 / 11 = 4
33 / 11 = 3
7 strips
Answer:
11
Step-by-step explanation:
bro don't call urself that....
Here is an inequality: -2x > 10
List 3 values for x that would make this inequality true.
Hi there!
»»————- ★ ————-««
I believe your answer is:
-6, -7, -8
[tex]\boxed{x<-5}[/tex]
»»————- ★ ————-««
Here’s why:
We first need to solve the inequality for 'x' using inverse operations.⸻⸻⸻⸻
[tex]\boxed{\text{Solve for 'x':}}\\\\-2x>10\\--------\\\rightarrow\frac{-2x>10}{-2}\\\\\rightarrow\boxed{x<-5}\\\\\text{The inequality sign is flipped because we divided by a negative value.}[/tex]
⸻⸻⸻⸻
Any number less than the value of -5 would be a solution to the given inequality. Some examples would be: -6, -7, -8, but as mentioned, you can pick any number less than -5.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Evaluatef(x) = 2.5x-11 when x = 4
Answer:
-1
Step-by-step explanation:
f(4) = 2.5(4) -11
f(4) = 10 -11
f(4) = -1
Help me out plssss thank u
x = 44°
Step-by-step explanation:
Since AB is a diameter,
arcAC + arcCB = 180
92° + arcCB = 180
or
arcCB = 88°
ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,
x = (1/2)arcCB
= 44°
what does it mean if the pA group of participants were given a measure of positive mood after exposure to classical music and then again after exposure to country music. Researchers want to determine if there is a statistically significant difference in the mean test scores based on type of music. The most appropriate statistical test to see if the scores differ is a(n) value is greater than .001
Answer:
Repeated measures(dependent samples t-test).
Step-by-step explanation:
Repeated measures (dependent samples t-test ):-
(Repeated measures dependent sample t-test is a statistical test that is used to found A significant difference in the within-subject design when the same participants go through both the conditions and there are only two conditions. In this scenario there are only two conditions -classical music and country music and every participant is exposed to both making it a dependent sample as the score of one participant on country music corresponds to the score of his on classic music.
Since it has only two variables, ANOVA can't be performed as it is performed to compare the means of more than 2 variables).
PLEASE HELP ME!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
6 8
10
Payout ($) 0 4
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
3.00
Step-by-step explanation:
Given that :
Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10
Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05
Expected value :E(X) = ΣX* p(x)
E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)
E(X) = 3
Expected value = 3.00
