Answer:
-1 and 1/3
Step-by-step explanation:
-12 x -1 1/3= 16
Answer:
-3/4
Step-by-step explanation:
-12m=16
m=12/-16
simplify
m=-3/4
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women. The responses were 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
Required:
Find the mean, median, mode, and geometric mean. Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer. Is there an outlier?
Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74
Median is the most appropriate measure of central tendency.
The least appropriate = mean
Yes there is an outlier.
Step-by-step explanation:
Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]
Its sum = 35
Mean of n observations = (Sum of observations) ÷ n
Mean = (35) ÷ 10
=3.5
Here n =10 (even)
Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]
Mode = most repeated number = 2 (thrice)
geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]
10 is an outlier as it is very large as compare to other numbers.
When outlier is present in data , the median is the most appropriate measure of central tendency.
Mean affected badly by the outlier so it the least appropriate.
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)-3g = 9 what does g =
Answer:
g=-3
Step-by-step explanation:
-3g=9
divide through by-3
g=9/-3
g=-3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3g=9 Equation/Question
Step 2
-3g=9 Simplify
-3g=9
Step 3
-3g =9 Divide by 3
answer
-3
Hope this helps
Which of the following shows a reflection of the triangle over the horizontal axis?
Answer:
Either C or D
Step-by-step explanation:
Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.
Answer:
The fourth option
Step-by-step explanation:
It reflexs accros the x axis which is horizontal
Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.
Answer:
5 35/36
Step-by-step explanation:
add the whole number: 3+2= 5
add the fractions: 5/12 = 5/9= 35/36
add the whole number and fraction
5 35/36 so x= 5 35/36
please solve[tex]e^x=44[/tex] Thank You
Solve the question below, please
Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
What does 58/6 equal
Answer:
9.66666666667
Step-by-step explanation:
The fraction 58
6
is equivalent to 9 2
3
.
This fraction is a improper fraction once the absolute value of the top number or numerator (58) is greater than the absolute value of the bottom number or denomintor (6). So, the equivalent fraction is a mixed number which is made up of a whole number (9) and a proper fraction (2
3
).
The fraction 58
6
is equal to 58÷6 and can also be expressed as a decimal as 9.66667 and expressed as a percentage as 966.7%.
What is the answer to this Question?
8 – 6 (x – 4) = 2x – 2 (4x – 5) + 22
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
Solve the equation for x. −3=x3−6
A. x=−27
B. x=9
C. x=0
D. x=−6
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
Rounded to three decimal places, what is the value of r for this data set?
Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20
Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981
there are 12 ribbons all of them equal 3 feet how long is each ribbon?
Answer:
i think
12 x 3 = 36 feet long
Answer:
36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general
Step-by-step explanation:
Choose the correct answer:
PLS HELP ASAP 30 points plsss
Answer:
[tex]\frac{x-4}{5x}[/tex]
Step-by-step explanation:
The equation;
[tex]\frac{x^{2} - 8x + 16}{5x}[/tex] ÷ x - 4
Factor;
[tex]\frac{(x-4)^{2}}{5x}[/tex] ÷ ( x - 4 )
Rewrite in fraction form, so that one can perform division
[tex]\frac{(x-4)^2}{5x} * \frac{1}{x-4}[/tex]
Simplify, cancel out like terms on opposite sides of the fraction bar
[tex]\frac{x-4}{5x}[/tex]
In our amusement park that we built this week, the ride Diablo’s Domain had revenue of $250,000,000 in its first year as expected. The company paid $750,000 for insurance or $3 for every $1,000 in revenue. If the park is wildly successful and revenue increases by 25% in the second year and the rate of $3 for every $1,000 holds true, how much would it pay for insurance? Do you think it’s reasonable for insurance costs to increase proportionally? Why or why not?
Answer:
The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.
Step-by-step explanation:
Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:
(250,000,000 x 1.25) x (3/1000) = X
312,500,000 x 0.003 = X
937,500 = X
Therefore, the amount to be paid for insurance will be $ 937,500.
A production company spent 45
1
2 days filming its first movie. The company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first movie's filming time to the second movie's filming time. Compare in weeks.
Answer:
26 /33
Step-by-step explanation:
Given that :
Number of days taken filming first movie = 45 1/2
Number of weeks spent filming second movie = 8 1/4
Concerning days to weeks ;
45 1/2 days = 91/2 days = 91/2 ÷ 7 ;
91 / 2* 1/7 = 91/14 = 6. 5 weeks
Hence,
Ratio of first week fuming to second week filming ;
6.5 weeks : 8 1/4 weeks
6 1/2 : 8 1/4
13 / 2 : 33 /4
13 / 2 * 4 /33
52 / 66
26 / 33
solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
10 pens for $8.99.
25 pens for $19.75
What is the question?
Step-by-step explanation:
Answer:
so you need to find the cost of one pen, which ever is cheaper pick that one
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
a
Step-by-step explanation:
it won't be 5
nor 60
and it won't be 15
josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food
Answer:yes
Step-by-step explanation:
Need answer ASAP. Will give brainliest
Answer:
b
Step-by-step explanation:
V 34
Answer:
B
Step-by-step explanation:
credit to the other person
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
HHHHHHEEEEEELLLLLPPPPPP!!!!!!!!!
Step-by-step explanation:
Area of Glass surface
= Area of Parallelogram - Area of Rectangle
= (20in * 16in) - (4in * 16in)
= 256in².
Hence it is 256 square inches.
P.S. Question photo got changed, ignore this.
Answer: The area of the figure is 32 square
plz mark brainly
Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Step-by-step explanation:
The given equation :
x + (negative 8) = 3 x + 6.
or
x+(-8) = 3x+6
Step 1.
Add (-3x) to both sides of the equation.
x+(-8) + (-3x) = 3x+6 +(-3x)
x-8 = 3x +6
Step 2.
Add 8 positive unit tiles to both sides and create zero pairs.
x-8+8 = 3x +6 +8
x = 3x +14
Step 3.
x-3x = 14
-2x = 14
x = -7
Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.
Answer:
Step 2
Step-by-step explanation:
Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
Learn more about the rational root theorem visit:
https://brainly.com/question/25216212
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Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.
Answer:
x=2 and y=0.
Step-by-step explanation:
Answer:
[tex]x=-1,\\y=-1[/tex]
Step-by-step explanation:
We can write the following system of equations as given:
[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].
Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].
Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].
Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]