Answer:
13 a) 12% prefer pumpkin pie
b) 6.4% prefer pumpkin pie
c) 80% did NOT prefer raspberry pie
d) 235 people would be expected to say that their favorite pie is apple
or blueberry.
14 a) 20% prefer Marlin
b) 12% prefer Dolphins
c) 48.33% prefer seahawks or sharks as their mascot.
d) 116 students would be expected to say that their favorite mascot is a
Penguin.
15 a) 20% prefer Science fiction
b) 46 people would be expected to report mystery as their favorite
genre.
c) 810 people would be expected to report drama, history, or romance
as their favorite genre.
Step-by-step explanation:
13. *There are a total of 125 participants or customers.*
35 people prefer apple pie15 people prefer pumpkin pie.8 people prefer pecan pie.28 people prefer cherry pie.25 people prefer raspberry pie.14 people prefer blueberry pie.a) 15/125 = 0.12 = 12%
12% prefer pumpkin pie
b) 8/125 = 0.064 = 6.4%
6.4% prefer pumpkin pie
c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.
100/125 = 0.8 = 80%
80% did NOT prefer raspberry pie
d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?
Apple: 35/125 = 0.28 = 28%
Blueberry: 14/125 = 0.112 = 11.2%
If there were 600 people:
Apple: 600*0.28 = 168
Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a
person, so it's rounded to 67)
168 + 67 = 235
235 people would be expected to say that their favorite pie is apple or blueberry.
14. *There are a total of 60 students.*
5 people prefer Penguins.12 people prefer Marlins.9 people prefer Seahawks.14 people prefer Dolphins.20 people prefer Sharks.a) 12/60 = 0.2 = 20%
20% prefer Marlin
b) 14/60 = 0.12 = 12%
12% prefer Dolphins
c) Seahawks: 9/60 = 0.15 = 15%
Sharks: 20/60 = 0.33 = 33.33%%
15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.
d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.
Penguins: 5/60 = 0.083 = 8.33%
If there were 1,400 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a
person, so it's rounded to 116)
116 students would be expected to say that their favorite mascot is a Penguin.
15. *There are a total of 75 people.*
8 people prefer Action.4 people prefer Comedy.16 people prefer Drama.7 people prefer Mystery.10 people prefer Romance6 people prefer Science fiction3 people prefer Biography12 people prefer History9 people prefer Othera) 6/75 = 0.2 = 20%
20% prefer Science fiction
b) Out of 500 people, how many would you expect to report mystery as their favorite genre?
Mystery: 7/75 = 0.093 = 9.3%
If there were 500 people:
Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a
person, so it's rounded to 46)
46 people would be expected to report mystery as their favorite genre.
c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?
Drama: 16/75 = 0.2133= 21.33%
History: 12/75 = 0.16 = 16%
Romance: 10/75 = 0.1333 = 13.33%
If there were 1,600 students:
Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a
person, so it's rounded to 116)
Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a
person, so it's rounded to 341)
History: 1,600*0.16 = 256
Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a
person, so it's rounded to 213)
341 + 256 + 213 = 810
810 people would be expected to report drama, history, or romance as their favorite genre.
Hope this helps!
there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45
Answer:
9m = 45
Step-by-step explanation:
if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:
9m = 45
where m is the number of marbles in the red jar.
Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.
How to analyze and solve logarithmic expressionsLogarithms are trascendental functions, that is, functions that cannot be described algebraically.
In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:
[tex]\log_{b} x^{2} = 10[/tex]
[tex]2\cdot \log_{b} x = 10[/tex]
[tex]\log_{b} x = 5[/tex]
x = b⁵
Then, the value of the latter logarithm is:
log₃ (x⁻¹)[tex]^{1/b}[/tex]
- b⁻¹ · log₃ x
- b⁻¹ · log₃ b⁵
- 5 · b⁻¹ · log₃ b
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]
RemarkThe statement is poorly formated, correct form is described below:
Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].
To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916
please help
cos40∘=sin(x+30∘)
Answer:
x = 20 degrees.
Step-by-step explanation:
cos40∘=sin(x+30∘)
sin (x + 30) = 0.766
x + 30 = arcsin 0.766 = 50
x = 50 - 30 = 20.
Answer:
x = 20
Step-by-step explanation:
cos(angle) = sin(complement of angle) , then
cos40 = sin(90 - 40) = sin50 , then
sin(x + 30) = sin50 , that is
x + 30 = 50 ( subtract 30 from both sides )
x = 20
50/100 in tenth fraction and decimal form
Answer:
5/10 and .5
Step-by-step explanation:
50/100 is 1/2 so 1/2 is equal to 5/10
5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5
hope it helps !
Help I’ll give info help text me on ig 7mile.jr
Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.
Answer:
g(x) is the translation of f(x) 2 units to the left and 4 units down
Find the value of x in this equation.
Answer: 5
Step-by-step explanation:
Zoey purchased a new car in 1992 for $28,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,600 in the year 1996, then what would be the predicted value of the car in the year 1998, to the nearest dollar?
Answer:
V = V0 e^-k t where V is the value of the car and t the time in years
ln (V/V0) = - k t
k = -1/4 ln (96/280) = .268
V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621
Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS LETS TAKE IT TO 100!
Answer: B) 24
Step-by-step explanation:
All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.
Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.
I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.
24 / 2 = 12
24 / 4 = 6
The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.
Answer:
Step-by-step explanation:
Volume of pentagonal prism = 309.6 cubic units
h = 7.2 units
[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]
[tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]
Put the expressions in order from least to greatest.
Answer:
[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]
Step-by-step explanation:
For this, you need to know the rules of exponents:
If the coefficient is the same, you can do things to it (which I will get into)
In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.
For the first one, you can subtract the denominator exponent by the numerator exponent like so:
[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]
(When you multiply, you add the exponents)
Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]
For the second one, you can use the rule mentioned before:
[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]
For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)
So:
[tex](11^{-3} )^{-3} = 11^{9}[/tex]
Finally, the fourth one, you can simply just add the exponents:
[tex]11^{5} * 11^{2} = 11^{7}[/tex]
Then, just order them from least to greatest by their exponents value :)
Simplify the given expressions below.
I) 4x + 8 - 2x + 7
2) 2n ×5 ×2a
3) 6a power 5 over 3a power 2 ×2a
please work it out and clear
Step-by-step explanation:
1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]
Combine like terms
[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]
Add 4x and 2x , 7 + 8
[tex] \rightarrow \sf \: 2x + 15[/tex]
~Done~
2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]
[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]
[tex] \rightarrow \sf \: 20an[/tex]
~Done~
help please thank you
Answer:
hmm i think its
1/2(x + y)
Step-by-step explanation:
because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?
Haley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week and her brother is spending $15 each week. After how many weeks will their savings account have the same amount of money in them
Answer:
It will be 3 weeks until their savings account has the same amount of money in them.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Jazmine is picking an outfit to wear to a party. She has 5 pairs of pants, 7 shirts, and 4 pairs of shoes to choose from. The number of possibilities Jazmine has to wear to the party is ———- than 120.
416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху
Answer:
y=2
Step-by-step explanation:
add 5 to 0 then divide 5 with 2
Find the solution(s) to the system
y = x2-4
y = -2x – 5
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
Suppose we want to choose 6 letters, without replacement, from 10 distinct letters.
Answer:
Step-by-step explanation:
If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations". The formula for "r" items chosen from "n" items, where order matters is Npermutations = nPr = n!/ (n-r)!
Npermutations = 10P6 = 10!/(10-6)= 10*9*8*7*6*5 = 151200
When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations. The formula for the number of combinations of "r "items from "n" choices is Ncombinations = nCr = n!/((n-r)!r!)
Ncombinations = 10C6 = 10!/((10-6)!6!) = (10*9*8*7)/(4*3*2*1) = 210
Notice how there are far fewer combinations than permutations. This makes sense because if you think about how 6 colors {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters. If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)
Hope this helped, brainliest is always appreciated! :)
Have a nice day CX
~Mitsuna
what number is between 1.3 and 1.45
Step-by-step explanation:
1.3+1.45/2
= 1.75/2
=0.875
-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.
Answer:
-2.3, 8.6 to the nearest tenth.
Step-by-step explanation:
-16t^2+100t+316=0
Simplify it first.
Divide by -4:
4t^2 - 25t - 79 = 0
Using the quadratic formula:
x = [-(-25) +/- √(-25)^2 - 4*4*-79) ] / 8
= (25 +/- √(1889)) / 8
= 3.125 +/- 43.463/8
= 3.125 +/- 5.433
= -2.308, 8.558
Answer:
quadratic formula normally normally applies in such cases
What is 45% of 69/3???
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Why are you deleting my answers??
Two sides of an isosceles triangle measures 9 and 18. Which of the following could be the measure of the other side?
20.124
Step-by-step explanation:
remember the pythagoream theurm states a^{2} + b^{2} =c^{2} so
9 x 9 = 81
18 x 18 = 324
324+81 = 405
now you have to sq root it (20.1246)
Box size | number of mufffons
Small. 4
Medium. 6
Large. 8
Extra large 12
How many muffins are needed to fill all the boxes? Show your work
What equals -9 when multiplied but -8 when added
Answer:
1 and -9
Step-by-step explanation:
We can find the number by looking at the factors of -9, which include 1 and -9, -1 and 9, and -3 and 3.
1 * -9 = -9
1 + (-9) = -8
The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?
Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
In a parallelogram ABCD, angle a=70, find 2angle d
Answer:
D = 110
Step-by-step explanation:
Given,
In a parallelogram ABCD,
∠A =70∘
∠A + ∠B = 180∘.. (supplementary angles)
∠B = 180∘ – 70∘ = 110∘
∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)
∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110
Zahra is looking at a map of a park that has
a scale of 3 in. to 200 ft.
On the map, each side of the park is 6
inches long.
Zahra's distance to the park is 500 feet.
How long would this distance be on the
map?
Answer:
7.5 inches
peeeee
evaluate f ( - 5 ) =
Answer: −5
Step-by-step explanation:
simplify: (−5)
Re-order terms so constants are on the left:
(−5)f(−5)−5
How do you figure out which statement is true?
Answer:
What question are you talking about though
One-fourth of the sum of a number and 10 is 2 less
than twice the number?
Answer:
The number is 2
Step-by-step explanation:
The equation is: 1/4 (x + 10) = 2x - 1
1/4x + 2.5 = 2x - 1
Multiply everything by 4 to get rid of the fraction
x + 10 = 8x - 4
Subtract x from both sides
10 = 7x - 4
Add 4 to both sides
14 = 7x
Divide both sides by 7
x = 2