You deposit $800 in the bank and you earn 12% compounded weekly.
A 12-sided solid has equal-sized faces numbered 1-12
a. Find P(number greater than 10).
b.Find P(number less than 5)
c. If the 12-sided solid is rolled 200 times, how many times would you expect either a 4, 6, or 9 to be rolled?
Answer:
a) [tex]P(x > 2) = \frac{1}{6}[/tex]
b) [tex]P(x < 5) = \frac{1}{3}[/tex]
c) 50 times
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
Solving (a): P(x > 10)
First, list all outcomes of x
[tex]x = \{11,12\}[/tex] --- 2 outcomes
So, the probability is:
[tex]P(x > 2) = \frac{2}{12}[/tex]
Simplify
[tex]P(x > 2) = \frac{1}{6}[/tex]
Solving (b): P(x < 5)
First, list all outcomes of x
[tex]x = \{1,2,3,4\}[/tex] --- 4 outcomes
So, the probability is:
[tex]P(x < 5) = \frac{4}{12}[/tex]
Simplify
[tex]P(x < 5) = \frac{1}{3}[/tex]
Solving (c): Expected outcome of 4, 6 or 9 in a roll of 200
We have:
[tex]n = 200[/tex]
First, list all outcomes of x
[tex]x = \{4,6,9\}[/tex] --- 3 outcomes
So, the probability is:
[tex]P(x ) = \frac{3}{12}[/tex]
Simplify
[tex]P(x ) = \frac{1}{4}[/tex]
The expected number of rolls (E(x)) is calculated as:
[tex]E(x) = P(x) * n[/tex]
[tex]E(x) = \frac{1}{4} * 200[/tex]
[tex]E(x) = 50[/tex]
Which figure will result from this net?
Please answer this question correctly
Answer:
6
Step-by-step explanation:
Answer: GE=6
Step-by-step explanation:
At a certain middle school, there are 200 5th graders, 220 6th graders, 180 7th graders, and 150 8th graders. The Dean of Students chooses a scholar at random to help run Community Circle. What is the probability that a 7th grader is chosen?
Answer:
6/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
probability that a 7th grader is chosen = total number of 7th graders / total number of students
total number of 7th graders = 180
total number of students = 200 + 220 + 180 + 150 = 750
180 / 750
To transform to the simplest form. divide both the numerator and the denominator by 30
6 / 25
The figure below is a parallelogram. Find the value of x.
Answer:
13
Step-by-step explanation:
8x-6 = 98 and solve from there to get 13
40-40x0+1 find PEMDAS
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract
PEMDAS, is just an order of operations...
In our order above, Multiplying comes BEFORE addition OR Subtraction...
40 x 0 = 0
Then moving to the front...
40 - 0 = 40...
Lastly, 40 + 1 = 41
Answer is 41
The length of a garden is 6 feet more than the width. The area is 40 square feet. write an algebraic equation to determine the length and width of the garden. What is the length, in feet, of the garden?
Answer:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet[/tex]
Step-by-step explanation:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet \\ 6 \times 6 = 36 \\ 40 - 36 = 4 \\ (4 + 6 = 10) \times (10 - 6 = 4) \\ 10 \times 4 \\ = 40[/tex]
Roberta stood on a 36 in. high chair, then jumped into a
18 in. deep hole. Which equation applies to her action?
Solve for X.
Then, solve for Y.
Finally, solve for Z.
Answer:
x = 29.5
y = 48.16
z = 34.05
Step-by-step explanation:
Sorry if the explanation is messy
answer
x=29.44
y=48.08
z=68
Step-by-step explanation:
opp/adj = tan(30)
17/x = tan(30)
x = 29.44
hyp^2 = x^2+y^2
hyp^2 = (29.44)^2 + (17)^2
hyp^2 = 867 + 289
hyp = 34
opp/hyp = Sin(45)
34/y = Sin(45)
y = 48.08
adj/hyp = Cos(45)
z/(48.08) = Cos(45)
z = 68
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?
Answer:
133.33
Step-by-step explanation:
sorry if im incorrect
Answer:
800
Step-by-step explanation:
Write the equation for the larger circle shown in the figure.
Write the equation for the smaller circle shown in the figure.
Answer:
See below for answers
Step-by-step explanation:
Given equation of the horizontal ellipse: [tex]\frac{x^{2}}{64}+\frac{y^{2}}{16}=1[/tex]
Standard form: [tex]\frac{x^{2}}{a^{2} }+\frac{y^{2}}{b^{2} }=1[/tex]
Values of a and b: [tex]\frac{x^{2}}{8^{2} }+\frac{y^{2}}{4^{2} }=1[/tex]
Therefore, the radius of the bigger circle is a=r=8 (half the length of the major axis) and the radius of the smaller circle is b=r=4 (half the length of the minor axis).
Given the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], then:
The equation for the larger circle is [tex]x^{2} +y^{2} =8^{2}[/tex]
The equation for the smaller circle is [tex]x^{2} +y^{2} =4^{2}[/tex]
Helps are really appreciated!!
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm
Jasmine goes bowling. She has $25.00 spend. She spends $4.50 to rent shoes. She spends $2.50 for each game she
bowls. Which inequality can Jasmine use to determine the greatest number of sames she can how
Answer:
25.00 < (with a line under it) 4.50+2.50x
Step-by-step explanation:
A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?
Answer:
x=-31/4
Step-by-step explanation:
1/4 =x+8
Step 1: Flip the equation.
x+8=
1
4
Step 2: Subtract 8 from both sides.
x+8−8=
1
4
−8
Pranav bought lunch at 5 Guys for $14.20. How much
tax will he pay with a sales tax rate of 6.5%?
Answer:
92 cents
Step-by-step explanation:
14.20×6.5%=0.923
what are sides 'a' and 'b' called in a right triangle
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry.
Step-by-step explanation:
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (sides a and b ).
Answer:
The legs
Step-by-step explanation:
In a right triangle, sides a and b are called "the legs." These are the sides that create the right angle. Side c is called the hypotenuse and it is the longest side of a right triangle. Side c is opposite of the right angle.
I hope this helps!
WILL GIVE BRAINLIEST
Linda Griffith is planning to buy rental property. She finds a home priced at
$92,000. What is the amount of Griffith's mortgage loan if a down payment
of 10% is required?
a$81,800
b$81,900
c$82,500
d$82,800
One of the legs of a right triangle measures 9 cm and the other leg measures 13 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
CAN I GET HELP PLEASE
Answer:
15.81
Step-by-step explanation:
help please find the x
Step-by-step explanation:
a)
Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°
[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]
b)
Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle
[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]
Paula packages the syrup in one pint jars. She can fit 24 jars in each box how many boxes can she completely fill with jars of syrup from 50 maple trees
Answer:
2
Step-by-step explanation:
Paula packages syrup in one pin jars
She can fit 24 jars in each box
Therefore the number of boxes she can fill with 50 jars can be calculated as follows
24+24
= 48
Hence the jars can fix 2 boxes
100 points / please help
A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?
a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional
Answer:
Recipe A
Step-by-step explanation:
Hope this helped!!!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
Recipe A:Cups of flour used = 3
Rolls made = 12
Cups of flour per roll
[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]
Recipe B:Cups of flour used = 5
Rolls made = 24
Cups of flour per roll
[tex] \frac{5}{24} \\ = 0.20[/tex]
Recipe C:Cups of flour used = 11
Rolls made = 48
Cups of flour per roll
[tex] \frac{11}{48} \\ = 0.22[/tex]
Now compare Recipe A, B & C.[tex]0.25 > 0.22 > 0.20[/tex]
Recipe A > Recipe C > Recipe B.
✏ So, Recipe A used the most cups of flour per roll (option a).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.
Answer:
95% confidence interval for the mean
(6.61251, 7.38749)
Step-by-step explanation:
Step:-1
Given that a random sample 'n' = 60
Given that mean of the sample x⁻ = 7.0
Given that the standard deviation of the sample (S) = 1.5
Level of significance = 0.05
Degrees of freedom = n-1 = 60-1 = 59
t₍₀.₀₅ , ₙ₋₁₎ = 2.0010
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]
[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]
(7.0 - 0.38749 , 7.0 + 0.38749)
(6.61251 , 7.38749)
Final answer:-
95% confidence interval for the mean
(6.61251 , 7.38749)
The prom committee is buying Brownies and Cookies. Brownies cost $2 each and Cookies cost $1.50. They need 45 treats and have $82.50 to spend. How many of each should they buy? You need Variables, Equation, and have to explain the solution
Answer:
Number of brownies = 30
Number of cookies = 15
Step-by-step explanation:
Given:
Cost of each brownie = $2
Cost of each cookie = $1.5
Total number of treats = 45
Total amount = $82.50
Find:
Number of cookies and brownie
Computation:
Assume;
Number of brownies = b
Number of cookies = c
So,
b + c = 45........eq1
2b + 1.5c = 82.50...........eq2
Eq1 x 2
2b + 2c = 90 ..................eq3
Eq 3 - Eq 1
0.5c = 7.5
c = 7.5 / 0.5
Number of cookies = 15
Number of brownies = 45 - Number of cookies
Number of brownies = 45 - 15
Number of brownies = 30
Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and drawn at random , what is the probability that you will draw the letters F-R-E-D in that order?
Answer:
24
Step-by-step explanation:
F R E D
F R D E
F E R D
F E D R
F D E R
F D R E
so for each letter u have 6 so 4 x 6=24
What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2
Answer:
The first choice
Step-by-step explanation:
In the picture above, Goodluck.
Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?
What is the midpoint between (3,-1)and(7,-5)
<.< I’m dum(b) so pls answer the ones I circled
Answer:
40x-100/4
-15x+6
Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Answer:
median is 8 it's always the middle, play the elimination game
