Answer:
32
Step-by-step explanation:
Totally there are 50 tosses.
Let the number of tosses which resulted head be x.
Therefore the number of tosses which resulted tail is 50−x.
We get x×1+(50−x)×(−1)=14
x−(50−x)=14
x−50+x=14
x=32
FACTOR b2 – 18b + 81
Answer:
(b-9)^2
Step-by-step explanation:
b^2-18b+81
=b^2-(9+9)b+81
=b^2-9b-9b+81
=b(b-9)-9(b-9)
=(b-9)(b-9)
=(b-9)^2
Hope this helps u!!
Can someone please help ASAP!!
Step-by-step explanation:
you need to find:
uw:
uv:
vw= 8(already known)
Measure of W= 35
Measure of u= 90
measure of v= 180-90+35= 55
finding uv:
sin(35)= uv/8
0.57=uv/8
4.56=uv
finding uw:
sin(55)= uw/8
0.82= uw/8
6.56= uw
The average mass of a grain of sand is 1.5 x 10^-5 grams. Erin's sandbox has approximately 3.067 x 10^11 grains of sand in it. What is the mass of the sand in Erin's sandbox?
Answer:
4.6005 * 10^6 grams
Step-by-step explanation:
Average mass of sand grain = 1.5 * 10^-5 grams
Number of grains in Erin's sandbox = 3.067 * 10^11 grains
To obtain the mass of sand in Erin's grain box :
We multiply the mass per sand grain and the number of grains
(1.5 * 10^-5) * (3.067 * 10^11)
1.5 * 3.067 = 4.6005 * (10^(-5+11))
4.6005 * 10^6 grams
explain why triangles in the figure are similar. then find the missing length x
Answer:
∨∨∨∨see below∨∨∨∨∨∨
Step-by-step explanation: 6 26 18 13
The two outside angles are congruent. The two inside angles are supplemental thus they are equal. The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.
find x
4 is to x as 5 is to 7.5
4/x = 5/7.5 solve for x
4 × 7.5 / 5 = x
30 / 5 = x
6 = x
76%
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
a) Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
d)
What is the range?
Answer:
Mode = 7
Median = 6
Mean = 5.2
Range = 7
Step-by-step explanation:
Mode:
The most repeated number is 7 (thrice).
Median:
First, arrange them in order.
1, 2, 3, 4, 5, 7, 7, 7, 8, 8
The two middle numbers are 5 and 7. Find their average.
(5 + 7)/2 = 6
Mean:
(3+7+2+4+7+5+7+1+8+8)/10 = 5.2
Range:
Largest number - smallest number
8 - 1 = 7
Hope this helps!
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|
Answer:
We know that:
H(x) = |1 - x^3|
and:
We want to write H(x) as f( g(x) ) , such that for two functions:
So we want to find two functions f(x) and g(x) such that:
f( g(x) ) = |1 - x^3|
Where neither of these functions can be an identity function.
Let's define g(x) as:
g(x) = x^3 + 2
And f(x) as:
f(x) = | A - x|
Where A can be a real number, we need to find the value of A.
Then:
f(g(x)) = |A - g(x)|
and remember that g(x) = x^3 + 2
then:
f(g(x)) = |A - g(x)| = |A - x^3 - 2|
And this must be equal to:
|A - x^3 - 2| = |1 - x^3|
Then:
A = 3
The functions are then:
f(x) = | 3 - x|
g(x) = x^3 + 2
And H(x) = f( g(x) )
Please help me with this math problem. Only answer if your sure it’s correct. Pls answer ASAP!
Answer:
Step-by-step explanation:
Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them. We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!
Step-by-step explanation:
hear Is your answer check
Multiply 12x2y4z(-4x3y6z2)
Answer:
[tex]-48x^5 y^{10} z^3[/tex] should be the answer
Step-by-step explanation:
Find the 10th term of the geometric sequence 9,-18,36…
========================================================
Explanation:
a = 9 = first term
r = -2 = common ratio
We multiply each term by -2 to generate the next term
The nth term for this geometric sequence is a*(r)^(n-1) which becomes 9(-2)^(n-1)
If you tried plugging in say n = 2, you should find that,
9(-2)^(n-1)
9(-2)^(2-1)
9(-2)^1
9(-2)
-18
So that confirms the second term. I'll let you try the other values of n to confirm it further.
----------------------
From here, you plug in n = 10 to find the tenth term
9(-2)^(n-1)
9(-2)^(10-1)
9(-2)^9
9(-512)
-4608
Prob and stats question help
Answer:
It is C
Step-by-step explanation:
Trust me, i got it right
Answer:
C
Step-by-step explanation:
have a great rest of your day!! btw Ill view ur profile!! :)
If you leave Louisville Ky at 8:15 am and arrive in Chicago at 2:25 pm how long did you travel ?
Answer: 6 hours and 10 minutes
Step-by-step explanation:
Find the
volume of the
composite solid
Answer:
253.5 ft³
Step-by-step explanation:
Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height
Volume of a prism = base area × height
Volume of the pyramid
= [tex] \frac{1}{3} [/tex]× (6×6.5÷2) × 9
= [tex] \frac{1}{3} [/tex]× 19.5 × 9
= 58.5 ft³
Volume of the prism
= (6×6.5÷2) × 10
= 195 ft³
Volume of the solid
= 58.5 + 195
= 253.5 ft³
Answer:
A
Step-by-step explanation:
the base is 19.5 feet squared
(6 * 6.5 / 2)
multiplied by 10 gives you 195 feet cubed for the lower solid
19.5 * 9 / 3
gives you 58.5 feet cubed for the upper solid
just add both volumes together
Find the area of the sector in
terms of pi.
150°
12
Area = [?]π
Enter
HELPPP PLSSSSSSSSSSS
Answer:
45 + m<DBC = 180
Step-by-step explanation:
m<ABD + m<DBC = 180
45 + m<DBC = 180
Please help me figure this out. No links
Answer
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
Step-by-step explanation:
x.1,2=[tex]\frac{-(-2)+ \sqrt{(-2)^2-4.1(-1)} }{2.1}[/tex]
apply rule -(-a)=a
[tex]\sqrt{(-2)^2+4.1.1}[/tex]
[tex]x1,2=\frac{-(-2)+2\sqrt{2} }{2.1}[/tex]
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
Find the product of (4z2 + 7z – 8) and (–z + 3).
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.
Answer:
-4z^3 + 5z^2 + 29z -24
Step-by-step explanation:
(4z^2 + 7z-8) (-z+3)
would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
and simplified to -4z^3 + 5z^2 + 29z -24
Answer:
5
29
Step-by-step explanation:
This makes no sense, help pls
Please mark me branliest!
**Answer**
16 if you want exact, 20 if you want a little over.
**Explanation**
So check this... it's $50 per student that attends the camp, right?
(Nod if you're with me.)
The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800
5 dozen is the same as 50 donuts.
You multiply to get the total amount of donuts he buys in the total days (16).
Each 10 donuts costs 10 dollars.
If the dude buys 800 donuts it cost him $800.
And it costs 50 dollars for someone to go to camp.
So you divide 800/50 = 16 students
Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.
You are very welcome!!
A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount of water used by the production facilities each month. He decided to investigate water usage by collecting seventeen observations orn his plant's water usage and other variables
Variable Description
Temperature Average monthly temperate (F)
Production Amount of production (pounds)
Days Number of plant operating days in the month
Persons Number of persons on the monthly plant payroll
Water Monthly water usage (gallons)
The output is shown below Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.876 0.767 0.689 17 ANOVA cance F Regression Residual Total 4 12 16 2448834.0 612208.5 743797.5 61983.1 192631.5 9.88 0.0009 Coefficients 6360.34 13.87 0.21 126.69 21.82 Standard Error 1314.39 5.16 0.05 48.02 7.28 t Stat P-value 4.84 0.0004 .69 0.0197 .65 0.0006 2.64 0.0216 .00 0.0112 Lower 95% 3496.5 Upper 95% 9224.15 25.11 0.31 22.06 5.95 Lower 95.0% 3496.52 2.63 0.11 231.32 37.69 uper 95.0% 9224.15 25.11 0.31 22.06 5.95 Intercept Temperature Production 2.63 0.11 -231.32 37.69 Persons
What is a, the standard error of the estimate? Include 2 decimal places.
Answer:
248.96
Step-by-step explanation:
From this regression output we have the MS Residual or mean squared error to be equal to 61983.1
the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.
[tex]\sqrt{61983.1}[/tex]
= 248.96
the standard error of the estimate = 248.96
thank you!
which function represents the inverse of the function f(x)=4x
Answer:
the answer is number 4 h(x) = 1/4 x
Answer:
the answer is 4 h(x) = 1/4 x.
Step-by-step explanation:
Help me plzzz , if u help me I flippin love u yoooooooooooooooooooooooooooooooooooooo:)
Answer:
7 solutions
Step-by-step explanation:
Rewrite each of the following statements in the form "∀ _____ x, _____."
(a) All dinosaurs are extinct. ∀ ---Select--- x, ---Select--- .
(b) Every real number is positive, negative, or zero. ∀ ---Select--- x, ---Select--- .
(c) No irrational numbers are integers. ∀ ---Select--- x, ---Select--- .
(d) No logicians are lazy. ∀ ---Select--- x, ---Select--- .
(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ ---Select--- x, ---Select--- .
(f) The number −1 is not equal to the square of any real number.
Answer:
The rewritten statements is as follows:
(a) ∀ dinosaur x, x is extinct.
(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.
(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].
(d) ∀ logician x, x is not lazy.
(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]
(f) ∀ real number x, [tex]x^2 \ne -1[/tex]
Step-by-step explanation:
As a general rule, words like "all", "every", "the", etc. are represented with ∀.
However, some sentences may be need to rephrased before such sentence can be rephrased
So, the following replacement will be made:
(a)
[tex]All \to[/tex] ∀
[tex]dinosaurs \to x[/tex]
(b)
[tex]Every \to[/tex] ∀
[tex]real\ number \to x[/tex]
(c)
First, we need to rephrase this sentence to:
Every irrational number is not integer
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]irrational\ number \to x[/tex]
(d)
First, we need to rephrase this sentence to:
Every logician is lazy
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]lazy \to x[/tex]
(e)
First, we need to rephrase this sentence to:
The integer 2,147,581,953...............
So, the replacement is:
[tex]The \to[/tex] ∀
[tex]Integer \to x[/tex]
(f)
Replace:
[tex]The \to[/tex] ∀
[tex]-1 \to x^2[/tex]
Small circular disks are being cut from thin sheets of steel. The steel weighs 1.6 grams per square centimeter. The disks need to have a diameter of 5 centimeters.
(A) find the area of the disk to the nearest hundredth of a square centimeter. Show the steps in your calculation.
Answer:
[tex]A = 19.63cm^2[/tex]
Step-by-step explanation:
Given
[tex]d =5cm[/tex]
[tex]Weight = 1.6g/cm^2[/tex]
Required
The area (A) of the disk
This is calculated as:
[tex]A = \frac{\pi * d^2}{4}[/tex]
So, we have:
[tex]A = \frac{3.14 * 5^2}{4}[/tex]
[tex]A = \frac{3.14 * 25}{4}[/tex]
[tex]A = \frac{78.5}{4}[/tex]
[tex]A = 19.625[/tex]
[tex]A = 19.63cm^2[/tex] --- approximated
the answer of
82.4 - 25
Answer:
57.4
Step-by-step explanation:
82.4 - 25 is too easy, a calculator can solve this.
Aysha has 40 cubes in a bag.
18 red cubes.
13 blue cubes.
9 yellow cubes.
Aysha adds some more red cubes into the bag.
Aysha is now going to take at random a cube from the bag
The probability now that she will take a red cube is 0.5.
Work out the probability that she will take a yellow cube.
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]
The probability now that she will take a red cube is 0.5. So,
[tex]\dfrac{18+x}{40+x}=0.5[/tex]
[tex]18+x=0.5(40+x)[/tex]
[tex]18+x=20+0.5x[/tex]
[tex]x-0.5x=20-18[/tex]
[tex]0.5x=2[/tex]
Divide both sides by 0.5.
[tex]x=\dfrac{2}{0.5}[/tex]
[tex]x=4[/tex]
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
[tex]40+4=44[/tex]
Probability of getting a yellow cube is:
[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]
[tex]P(Yellow)=\dfrac{9}{44}[/tex]
Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –y minus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 8 right-parenthesis.x + 6. What is the point-slope form of the equation for this line?
y – 3 = –StartFraction 8 Over 5 EndFraction x plus StartFraction 2 Over 3 EndFraction equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.(x + 8)
y + 3 = –y plus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 8 right-parenthesis.(x – 8)
y + 8 = –y plus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y – 8 = –y minus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 8 = –y minus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
Step-by-step explanation:
PLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
please answer both thanks
Answer:
Question 4 is B and Question 5 is C
Step-by-step explanation:
Question 4 is B because the DIFFERENCE between the two terms is 15 therefore when you subtract the terms it must equal 15 so B could no be an answer. Also since they both equal 24 they both add up to 24
at 90kph, how far do you travel in 6 hours
Answer:
540 km
Step-by-step explanation:
You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km
CALCULATORS COST $125.00 FOR 25 CALCULATORS. WHAT IS THE COST PER CALCULATOR?
Answer: $5 per calculator
Step-by-step explanation: divide 125 and 25
Answer:
5$
Step-by-step explanation:
Given:
25 calculators cost 125.00
So:
_______ DIvide the cost of calculators by the number of calculators, and we get 5$
