____________________________________________________
Answer:
Your answer would be $410.64
____________________________________________________
Step-by-step explanation:
In order to find the amount of money you would have in 3 years, you would have to multiply the principal each time by 15% 3 times.
We would start with our starting allowance, and multiply that by 1.15, and so on:
270 × 1.15 = 310.50
310 × 1.15 = 357.075
357.073 × 1.15 = 410.636
Since we have three numbers after the decimal, we would want to round up to the nearest hundredth because that's how the value of money works. Cents only go up to the hundredths place.
We would round the 6 to the three, in which would make the three turn into 4. When you round, the numbers 1-4 would keep the number before it the same, 5-9 would make the number before it go up by 1.
410.636 would turn into 410.64.
You would have $410.64 dollars in three years.
____________________________________________________
With a principal of $270 and an annual compound interest rate of 15%, your investment will grow to approximately $410.64 in 3 years.
To determine how much your investment of $270 will grow in 3 years with an annual compound interest rate of 15%, you can use the compound interest formula:
A = P(1 + r/n)ⁿᵗ
Where:
A = the future value of the investment/loan, including interestP = the principal investment amount ($270)r = the annual interest rate (decimal) (0.15)n = the number of times that interest is compounded per year (1, since interest is compounded annually)t = the number of years the money is invested or borrowed for (3)Now plug in the values:
A = 270(1 + 0.15/1)¹*³Simplify inside the parenthesis:
A = 270(1 + 0.15)³Then:
A = 270(1.15)³Calculate the exponent:
A = 270 * 1.520875Finally, multiply:
A ≈ 410.64After 3 years, your investment will grow to approximately $410.64.
This demonstrates the power of compound interest, which is an important concept to understand when investing.
if UVW ~ RST ,what is the value of x?
X=15
30/42=X/21
Cross multiply.
42x=630
Divide.
630/42= 15
x=15
I know its kind of confusing, it took me a while to get geometry down too.
But I hope this helps :)
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar, we can say that the ratio between the respective sides of the first triangle and the 2nd is constant.
Basically, VW / ST = VU/SR = WU/TR = k, where k is a positive real number
Solving for k is simple:
k = VU/SR = 42/21 = 2
So we found out that the 1st triangle is the 2nd triangle but scaled up 2 times.
We use this to find x.
ST * 2 = VW
2x = 30
x = 15
If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be
a. h(x) = 4(x-9)^2-17
b. h(x) = 4(x-7)^2+16
c. h(x) = 4(x-17)^2-9
d. h(x) = 4(x+9)^2-17
Answer:
A
Step-by-step explanation:
A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.
A baseball player has had 5 hits in the last 25 times at bat. Based on this information, how many times can the player be expected to get a hit in the next 35 times at bat ?
Answer:
7 times
Step-by-step explanation:
5 times 5 is 25 so 5 times 7 is 35 and thats the answer
What is the approximate circumference of a circle that has a diameter of 25 yards? Round your answer to one decimal place. C = a0 yd
For this case we have by definition, that the circumference of a circle is given by the following formula:
[tex]C = \pi * d[/tex]
Where:
d: Is the diameter of the circumference
So:
[tex]C = \pi * 25\\C = 78.5398[/tex]
Rounding to a decimal we have:
[tex]C = 78.5 \ yards[/tex]
ANswer:
[tex]C = 78.5 \ yards[/tex]
Lauren and Christy made a total of $17.20 selling cookies and lemonade. The equation below describes the relationship between the number of cookies sold, x, and the number of glasses of lemonade sold, y.
0.50x + 1.10y = 17.20
What do the coefficients 0.50 and 1.10 represent?
A.
Lauren and Christy sold cookies for $0.50 each and glasses of lemonade for $1.10 each.
B.
Lauren and Christy made $1.10 selling cookies and $0.50 selling glasses of lemonade.
C.
Lauren and Christy made $1.60 per sale.
D.
Lauren and Christy sold 0.50 cookies and 1.10 glasses of lemonade.
Reset Submit
Answer: A.Lauren and Christy sold cookies for $0.50 each and glasses of lemonade for $1.10 each.
To get $17.20 you have to multiply the price of cookies by how many cookies you sold plus the cost of lemonade by how many glasses of lemonades were sold. Hope this helps!
Write the explicit formula for the sequences
3,9,27,81,...
Answer:
Step-by-step explanation:
This is a geometric sequence. The general formula for any term is
t_n = a*r^(n-1)
t1 = 3
r = 3
t_n = 3* 3^(n - 1)
t_4 should be 81
t_4 = 3*3^(n - 1)
t_4 = 3*3^3
t_4 = 3 * 27
t_4 = 81
Answer:
an = 3 * (3)^ (n-1) or
an = 3^n
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
9/3 = 3
To verify take the third term and divide by the second
27/9 =3
Since this is a geometric sequence, it is of the form
an = a1*r^(n-1) where a1 is the first term and r is the common ration
an = 3 * (3)^ (n-1)
Since the first term is the same as the term inside the parentheses, we can combine
an = 3^1 * 3 ^ (n-1)
= 3^ (1+n-1)
= 3^ (n)
Emma usually has about $1000 in her account at any given time during the month. She usually visits the ATM twice a week and is interested in banking online options. Bank R has 10 ATMs within a 5 mile radius of Emma’s home. Bank S has 1 ATM 10 miles from Emma’s work. Which bank should she choose? a. Bank R b. Bank S c. Bank T d. Bank R and S
Answer:
Bank R
Step-by-step explanation:
Answer:
Bank R is the answer.
Step-by-step explanation:
Emma usually has about $1000 in her account at any given time during the month.
She usually visits the ATM twice a week and is interested in banking online options.
Bank R has 10 ATMs within a 5 mile radius of Emma’s home.
Bank S has 1 ATM 10 miles from Emma’s work.
Based on the availability of ATMs nearby, Emma should choose Bank R.
A company is selling two different sized medicine balls to a local colleges athletic department the ratio of the diameters 15:11 if the diameter of the smaller ball is 55cm what is the volume of the larger ball? Round the nearest tenth and use 3.14 for pi.
Answer:
Volume of larger ball = 220,781.3 cubic centimeters
Step-by-step explanation:
Let's use ratios to solve for the diameter of the larger ball first (let the diameter of larger ball be L)
[tex]\frac{LargerBall}{SmallerBall}=\frac{15}{11}=\frac{L}{55}\\11*L=15*55\\11*L=825\\L=\frac{825}{11}=75[/tex]
So, the diameter of the larger ball is 75 cm. We know radius is half of diameter, so radius of larger ball is (1/2)(75) = 37.5 cm
Ball is in the shape of a sphere, which has a formula for volume as:
[tex]V=\frac{4}{3}\pi r^3[/tex]
where V is the volume and r is the radius
now we simply plug in 37.5 into r and use 3.14 as π:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(3.14)(37.5)^3\\V=220,781.3[/tex]
Sharon has $500 to use as an initial investment in a savings account or a CD account. The savings account pays 2.3% simple interest each year. The CD pays 1.8% annual interest compounded monthly.
Write a function (model) that would give you the future value of the savings account in any number of years (use t for the unknown number of years).
Write a function (model) that would give you the future value of the CD account in any number of years (use t for the unknown number of years). Find the future value of both accounts in 20 years. which account should she choose?
Answer:
Saving account: A = 500(1 + 0.023t)
CD account: A = 500(1 + 0.018/12)^(12t)
Future value of saving account is $730
Future value of CD account is $716.47
She should choose the saving account
Step-by-step explanation:
* Lets revise the rules of simple and compound interest
- Simple Interest Equation (Principal + Interest)
A = P(1 + rt)
- Where:
• A = Total amount (principal + interest) future amount
• P = Principal Amount
• I = Interest Amount
• r = Rate of Interest per year in decimal; r = R/100
• t = Time Period involved
- Compound interest can be calculated using the formula
A = P (1 + r/n)^(nt)
Where:
• A = the future value of the investment, including interest
• P = the principal investment amount (the initial amount)
• r = the annual interest rate (decimal)
• n = the number of times that interest is compounded per unit t
• t = the time the money is invested for
* Now lets solve the problem
- Saving account:
# P = $500
# r = 2.3/100 = 0.023
# t = t
∴ A = 500(1 + 0.023t) ⇒ (1)
- CD account:
# P = $500
# r = 1.8/100 = 0.018
# n = 12
# t = t
∴ A = 500(1 + 0.018/12)^(12t) ⇒ (2)
* In case t = 20 years
- In equation (1)
# A = 500(1 + 0.023 × 20) = $730
- In equation (2)
# A = 500(1 + 0.018/12)^(12 × 20) = $716.47
* The future value of saving account is greater than the CD account
∴ She should choose the saving account
Find the value of x shown in the isosceles triangle shown below
40 POINTS!!
Answer:
x = √41 units
Step-by-step explanation:
Half the base length
= 8 ÷ 2
= 4
x² = 4² + 5²
x² = 16 + 25
x² = 41
x = √41
Answer:
x = sqrt(41)
Step-by-step explanation:
We have a right triangle with height 5 and a base that is 1/2 of 8 = 4
We can use Pythagorean theorem
a^2 + b^2 = c^2 to find the length of the hypotenuse
5^2 + 4^2 = x^2
25+16 = x^2
41 = x^2
Take the square root of each side
sqrt(41) = x
plz help me also ignore the answers i already have
Could you comment the question so I could see it closer?
Central dogma includes the following:
The DNA codes for the production of messenger RNA (mRNA) during transcription.
In eukaryotic cells, the mRNA is processed and migrates from the______to the______.
Messenger RNA carries coded information to the____. where this information is translated and used I for protein synthesis.
Fill in the blanks within the n
text.
The choices are up above^ ;-)
the answers is a) nucleus, cytoplasm and ribosomes
Answer:
Try using A for your answer
Step-by-step explanation:
The pilot on the flight that Morgan was on announced that they were flying at 30,360 feet. Was Morgan over 6 miles above the ground? Explain. Please show work.
so we are using some conversions here
so first convert 30,360ft=?miles
we are going to use
division like SBD
silly babies dancing an example ofc so it means small to big,divide so,
30,360ft÷5,280=5.75miles
5,280 is how many ft are in a mile.:)
so no,Morgan wasn't over 6 miles
To determine if Morgan was over 6 miles above the ground, we must convert the altitude from feet to miles by dividing by 5,280 (the number of feet in a mile). This computation shows us that Morgan was indeed over 6 miles high.
Explanation:Yes, Morgan was over 6 miles above the ground. In order to solve this problem, we need to know that 1 mile equals 5,280 feet. Thus, first, we have to convert the altitude in feet into miles. We do this by dividing the number of feet by the number of feet in a mile.
30,360 feet / 5,280 feet per mile = 5.75 miles
Hence, Morgan was indeed flying at an altitude greater than 6 miles above the ground.
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Add 5 and 14, triple the sum and then add 4/5
Answer:
57 4/5
Step-by-step explanation:
Add 5 and 14
5+14 = 19
Triple the sum
3 * 19 = 57
The add 4/5
57 + 4/5
57 4/5
What’s the rule of reflection
Answer:
[tex]\large\boxed{r_{y-axis}(x,\ y)\to(-x,\ y)}[/tex]
Step-by-step explanation:
[tex]L(-6,\ 2)\to L'(-(-6),\ 2)\to L(6,\ 2)\\\\M(-5,\ 4)\to M'(-(-5),\ 4)\to M'(5,\ 4)\\\\N(-3,\ 2)\to N'(-(-3),\ 2)\to N'(3,\ 2)\\\\\bold{Conclusion:}\\\\r_{y-axis}(x,\ y)\to(-x,\ y)[/tex]
The rule of reflection for the triangle is Ry ( x , y ) → ( -x , y )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔMLN
Now , the coordinates of the triangle are
The coordinate of M = M ( -5 , 4 )
The coordinate of L = L ( -6 , 2 )
The coordinate of N = N ( -3 , 2 )
when the triangle is reflected across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.
The reflection of point (x, y) across the y-axis is (-x, y).
So , the coordinate of M' = M' ( 5 , 4 )
The coordinate of L' = L' ( 6 , 2 )
The coordinate of N' = N' ( 3 , 2 )
Hence , the rule of reflection is Ry ( x , y ) → ( -x , y )
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Select the correct answer from each drop-down menu.
Square STQR is drawn on one side of right triangle TPQ.
The length of each side of the square is about __ units, and the length of its diagonal is about __ units.
Answer:
Part 1) The length of each side of the square is about 4.47 units
Part 2) The length of its diagonal is about 6.32 units
Step-by-step explanation:
Part 1)
Find the length of each side of the square
In the right triangle TPQ
Applying the Pythagoras Theorem
[tex]TQ^{2}=PQ^{2}-TP^{2}[/tex]
substitute the given values
[tex]TQ^{2}=6^{2}-4^{2}[/tex]
[tex]TQ^{2}=36-16[/tex]
[tex]TQ^{2}=20[/tex]
[tex]TQ=2\sqrt{5}\ units[/tex] -----> exact value
[tex]TQ=4.47\ units[/tex] -----> approximate value
Part 2)
Find the length of the diagonal of the square
Applying the Pythagoras Theorem
[tex]TR^{2}=TQ^{2}+QR^{2}[/tex]
we have
[tex]TQ=QR[/tex]
[tex]TQ=2\sqrt{5}\ units[/tex]
substitute
[tex]TR^{2}=(2\sqrt{5})^{2}+(2\sqrt{5})^{2}[/tex]
[tex]TR^{2}=40[/tex]
[tex]TR=2\sqrt{10}\ units[/tex] -----> exact value
[tex]TR=6.32\ units[/tex] ----> approximate value
Answer:
First box is 4.5 units and the second box is 6.3 units.
Step-by-step explanation: Correct Plato answer.
convert 2.47x10^-3 to regular notation
Answer:
0.00247
Step-by-step explanation:
Answer:
[tex]\large\boxed{2.47\times10^{-3}=0.00247}[/tex]
Step-by-step explanation:
METHOD 1:
[tex]\text{Use:}\ 10^{-n}=\dfrac{1}{10^n}\\\\2.47\times10^{-3}=2.47\times\dfrac{1}{10^3}=2.47\times\dfrac{1}{1000}=\dfrac{2.47}{1000}\\\\=\dfrac{2.47\times100}{1000\times100}=\dfrac{247}{100000}=0.00247[/tex]
METHOD 2:
[tex]a\times10^n\\\\\text{If}\ n<0\ \text{then move the comma n places to the left.}\\\text{If}\ n>0\ \text{then move the comma n places to the right.}[/tex]
[tex]\text{Therefore}\ 2.47\times10^{-3}=0\underbrace{.002}_{\leftarrow3}47[/tex]
Evaluate. 5^2+7⋅3+4 plz help
Answer:
50
Step-by-step explanation:
first the power 5^2 = 25 then the multiply 7*3 = 21 and then the addition
25+21+4= 25+25 = 50
Hey there!
5^2 + 7 * 3 + 4
= 5 * 5 + 21 + 4
= 25 + 21 + 4
= 46 + 4
= 50
Therefore, your answer is: 50
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Select all that apply.
Which of the following statements best describes a characteristic of an observational study?
The researcher imposes, for example, a treatment on the sample population and then observes their response.
The researcher determines relationships among variables.
The individuals are observed the exact way they act in real life.
It is the best method to learn about cause-effect relationships.
Answer:
The individuals are observed the exact way they act in real life.
Step-by-step explanation:
There are two main types of studies in research; one is controlled or experimental and the other is observational.
In observational studies, the individuals participating in study are not manipulated or intervened or controlled in any way by the researcher.
Hence the statements best describes a characteristic of an observational study is the individuals are observed the exact way they act in real life !
Perform the indicated operation and simplify the result.
a²[tex]\frac{a^{3}+a^2b }{5a}.\frac{25}{3b+3a}[/tex]
Answer:
The simplified result is: [tex]\frac{5a^3}{3}[/tex]
Step-by-step explanation:
[tex]a^2.\frac{a^{3}+a^2b }{5a}.\frac{25}{3b+3a}[/tex]
We need to solve the above equation.
We take a^2 common from a^3+a^2b
and we take 3 common from 3b+3a
Solving,
[tex]a^2\:\frac{a^2\left(a+b\right)\:}{5a}\frac{25}{3\left(b+a\right)}[/tex]
Since a+b = b+a we can cancel them with each other.
[tex]=a^2\:\frac{a^2}{5a}\frac{25}{3}\\=a^2\:\frac{a^2}{a}\frac{5}{3}\\=a^2\:a\:\frac{5}{3}\\=\frac{5a^3}{3}[/tex]
So, The simplified result is: [tex]\frac{5a^3}{3}[/tex]
The simplified expression is (5(a + b)) / (3a(b + 1)).
To simplify the given expression, we'll perform the indicated operation step by step:
a² * [(a³ + a²b) / 5a] * [25 / (3b + 3a)]
Step 1: Cancel common factors within each fraction:
a² * [(a³ + a²b) / (5a)] * [25 / (3(b + a))]
Step 2: Simplify further:
(a³ + a²b) * [25 / (5a * 3(b + a))]
Step 3: Factor out common terms:
(a²(a + b)) * [25 / (15a(b + a))]
Step 4: Cancel common factors between numerators and denominators:
(a + b) * (25 / (15a(b + a)))
Step 5: Simplify further:
(25(a + b)) / (15a(b + a))
Step 6: Factor out common terms again:
(25(a + b)) / (15a * a(b + 1))
Step 7: Cancel common factors:
(5(a + b)) / (3a(b + 1))
So, the simplified expression is (5(a + b)) / (3a(b + 1)).
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Please help and put these from lease to greatest, thanks!
Answer:
1/2, 5/4, 7/8
Step-by-step explanation:
to find it you can divide it on a calculator and then see the decimals and decide from least to greatest or you can reduce the fraction to its simplest form and then do the least fo greatest by looking at the denominator only
Answer:
1/2, 7/8, 5/4
Step-by-step explanation:
Please help will give brainliest
What’s a brainliest sorry I can’t help
This relation is a function because a function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs). So we have that:
[tex]\left[\begin{array}{cc}x & y\\1 & 0\\2 & 4\\3 & 8\\4 & 12\end{array}\right][/tex]
We have plotted all the points below. As you can see, this is a linear function. Therefore, with two points we can get the equation, so:
[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-0=\frac{4-0}{2-1}(x-1) \\ \\ y=4(x-1) \\ \\ y=4x-4 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(1,0) \\ \\ (x_{2},y_{2})=(2,4)[/tex]
Finally, the equation is:
[tex]\boxed{y=4x-4}[/tex]
3(17x – 6.5) = 108. What does x equal in this equation
Answer:
x=2.5
Step-by-step explanation:
First, you need to expand the brackets.
51x-19.5=108
Next, you need to add 19.5 to both sides giving:
51x=127.5
Then finally, you need to divide both sides by 51.
x =2.5
x equal to 2.5 in this equation
What does x equal in this equation?An algebraic equation is a mathematical statement that contains two or more algebraic expressions that are set equal to each other. The algebraic expressions can contain variables, constants, and operators.
We have:
3(17x – 6.5) = 108
We can solve for the value of x as follow:
3(17x – 6.5) = 108
17x(3) - 6.5(3) = 108
51x - 19.5 = 108
51x = 108 + 19.5
51x = 127.5
x = 127.5/51
x = 2.5
Therefore, x equal to 2.5 in this equation
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what decimal is equivalent to 45/100
Answer:
0.45
Step-by-step explanation:
Brainiest please!
Solve for g. -7g − 8 = -6g
Answer:
G=-8
Step-by-step explanation:
Answer:
G=-8
Step-by-step explanation:
20 pts!
what is the total volume of juice in a six-pack if each can is 6 inches tall and has a diameter of 3 inches?
42.39in^3 or 254.3in^3
PLEASE ANSWER WITH FULL DETAILS AND THE SOLUTION YOU MADE IN ORDER TO ANSWER!
If it was asking for one can you would put 42.41 because it is (pi)(1.5)^2(6)
But then you times it by 6 cans and you get 254.47inches cubed
The total volume of juice in a six-pack, with each can being 6 inches tall and having a diameter of 3 inches, is 254.34 cubic inches. This is calculated using the volume formula for a cylinder.
The question asks for the total volume of juice in a six-pack of cans, where each can is 6 inches tall and has a diameter of 3 inches. To find the volume of one can, we use the formula for the volume of a cylinder: V = πr^2h, where V is volume, r is radius, and h is height. First, we find the radius of the can by dividing the diameter by 2, which gives us 1.5 inches. The volume of one can is therefore calculated as V = π(1.5)^2(6), which simplifies to V = π(2.25)(6) = 42.39 cubic inches. To find the total volume for a six-pack, we multiply this volume by 6: 42.39 in^3 × 6 = 254.34 in^3. Therefore, the total volume of juice in the six-pack is 254.34 cubic inches.
In 1981, the Australian humpback whale population was 350 and has increased at a rate of 14% each year since then.)
Write the equation for a function to that you could use to predict how many whales there would be in the year 2000: P(t) = _______
There would be about _______ humpback whales in the year 2018(round to the nearest whole number)
Answer:
In 1981, the Australian humpback whale population was 350
Po = Initial population = 350
rate of increase = 14% annually
P(t) = Po*(1.14)^t
P(t) = 350*(1.14)^t
Where
t = number of years that have passed since 1981
Year 2000
2000 - 1981 = 19 years
P(19) = 350*(1.14)^19
P(19) = 350*12.055
P(19) = 4219.49
P(19) ≈ 4219
Year 2018
2018 - 1981 = 37 years
P(37) = 350*(1.14)^37
P(37) = 350*127.4909
P(37) = 44621.84
P(37) ≈ 44622
There would be about 44622 humpback whales in the year 2018
Final answer:
To predict the Australian humpback whale population, an exponential growth model is used with equation P(t) = 350 [tex]imes (1 + 0.14)^t.[/tex] By substituting t with the number of years since 1981, we can estimate the population for any given year.
Explanation:
To write the equation for a function you could use to predict the number of humpback whales, we can use an exponential growth model because the population increases by a constant percentage rate each year. The general form of an exponential growth model is [tex]P(t) = P0 imes (1 + r)t,[/tex]where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the number of years since the initial time.
Given that the initial population in 1981 was 350 whales and the growth rate is 14% or 0.14, and taking t to be the number of years since 1981, the function to predict the number of whales in year t is:
[tex]P(t) = 350 imes (1 + 0.14)t[/tex]
For the number of whales in the year 2000, we substitute t with 19 (since 2000-1981=19), and for the year 2018 it would be 37 (since 2018-1981=37).
To predict the number of humpback whales in the year 2018, we use the function with t=37:
[tex]P(37) = 350 imes (1 + 0.14)37[/tex]
Calculating this, the result is rounded to the nearest whole number giving us the approximate whale population in 2018.
What the possible outcomes
Answer:
2. the second alternative is correct
3. 24
Step-by-step explanation:
2.
In flipping a coin once, we can either land Heads, H or Tails, T. The sample space is thus;
{H,T}
In rolling a number cube labelled 1 to 6, we can roll a 1, 2, 3, 4, 5, or a 6. The sample space is thus;
{1, 2, 3, 4, 5, 6}
When we flip the coin and roll the number cube we shall combine the above sample spaces using the following logic;
We can roll the number cube and obtain a 1. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-1, T-1
We can roll the number cube and obtain a 2. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-2, T-2
Going on and on, we can roll the number cube and obtain a 6. When we flip the coin, we can land Heads or Tails. This gives a possible combined outcome of;
H-6, T-6
We shall have a total of ;
6*2 = 12 possible outcomes
Therefore, the second alternative is correct
3.
The number of different lunch combinations that can be made from 3 sandwich choices, 2 side item choices and 4 beverage choices if you choose one sandwich, one side and one beverage is ;
3*2*4= 24
We simply find the product of the number of choices under each category.
square pyramid has a volume of 20 cubic feet and a base length of 5 feet. What is it's height?
Answer:
2.4 ft = height
Step-by-step explanation:
The formula for the volume of a pyramid is V = (1/3)(base area)(height).
Here V = 20 ft² = (1/3)(base area)(height).
Since the base area is (5 ft)², or 25 ft², 20 ft² = (1/3)(25 ft²)(height),
(height) = (20 ft³) / ( [25/3] ft², or 60 ft³ / (25 ft²) = 2.4 ft = height
Data sets I really need help with ASAP please and thanks.
Solve the equation by inserting 7 for x.
Our equation is now y=2.5(7)-1.5
Multiply.
Y=17.5-1.5
Subtract
Y=16
The answer is D. 16
Hope this helps!