Answer:
The answer is "4.8, 3.84, and 1.96".
Step-by-step explanation:
Given:
[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]
By using the binomial distribution:
[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]
What is the estimated volume of a figure with a length of 3cm, a height of 4cm, and a width that is approximately 2 times the height?
Step-by-step explanation:
Given
length(l)=3cm
height(h)=4cm
breath or width (b)=2×h=2×4=8cm
now it is a cuboid
volume of cuboid=l×b×h=3×8×4=96cm³
Answer:32,cm3
Step-by-step explanation:
Beth has $100 to invest. She can invest this into a 7% simple interest account or into an account with 5% interest compounded quarterly. The table shows the amount that would be in each account over the first five years. Which of the following statements are true about the growth shown in the table? The simple interest shows linear growth because it is adding a constant amount. The simple interest shows exponential growth because it is adding a constant amount. The compound interest shows linear growth because it is multiplying by a constant amount. The compound interest shows exponential growth because it is multiplying by a constant amount.
Answer:
The answer is a and d
Step-by-step explanation:
The simple interest shows linear growth because it is adding a constant amount.
The compound interest shows exponential growth because it is multiplying by a constant amount.
What is simple interest?"Simple interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time."
What is compound interest?"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."
Here the principle amount is $100.
Simple interest rate is 7%.
Compound interest is 5% compounded quarterly.
After 5 years, with simple interest, the amount will be
= $[100 + (100 × 7 × 5)/100]
= $[100 + 35]
The simple interest shows linear growth because it is adding a constant amount.
After 5 years, with compound interest, the amount will be
= $[100(1 + 0.05/4)⁴⁽⁵⁾]
= $[100(1 + 0.0125)²⁰]
= $[100(1.0125)²⁰]
Therefore, the compound interest shows exponential growth because it is multiplying by a constant amount.
Learn more about simple and compound interest here: https://brainly.com/question/12999306
#SPJ3
What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)
计
6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -
Answer:
the third option: g(x) = 5^x - 9
Step-by-step explanation:
identify the y-intercept, which is (0, -9)
find the option with: y = mx - 9
↑ the y-intercpet
The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
The function f(x) is given as:
[tex]f(x) =5^x[/tex]
From the graph, the function f(x) is shifted down by 9 units
The rule of this transformation is represented as:
[tex](x,y) \to (x,y-9)[/tex]
So, we have:
[tex]g(x) =f(x) - 9[/tex]
Substitute [tex]f(x) =5^x[/tex]
[tex]g(x) =5^x - 9[/tex]
Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
what is greater 0.03 or 0.02
Answer: 0.03
Step-by-step explanation:
You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?
Answer:
i need 5 points im sorry mate
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96
50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.
9514 1404 393
Answer:
672 m²
Step-by-step explanation:
There are several ways you can do this.
It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:
h² = 50² -14² = 2304
h = √2304 = 48
Then the area is ...
A = 1/2bh
A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area
_____
Additional comment
You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.
HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.
Find the least common multiple (LCM) for the pair of
numbers 6 and 18.
Answer:
LCM = 24
Step-by-step explanation:
Find MIssing Angle REAL PERSON HELP PLZ
Answer:
67 degrees
Step-by-step explanation:
Answer:
67 degrees
Step-by-step explanation:
You wanna sub. 75 from 142. Hope this helped.
1. Which set of side lengths form a right triangle?
O 7 in., 8 in., 9 in.
O 33 in., 47 in., 50 in.
18 in., 24 in., 30 in.
O 22 in., 25 in., 32 in.
Answer:
7,8,9
Step-by-step explanation:
Even though it can be be 7,24,25
A cylinder and a sphere shown below have equal volumes what is the radius of the sphere
help me with all these questions please
usa a caucula ciêntifica
Helpppsppspspspspsp plssss
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
Is the following number, rational, irrational, or nonreal?
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
What is the volume to the nearest tenth
Answer:
735.84
Step-by-step explanation:
Search Up Cone Volume Formula
Answer: 84.7 cm
Step-by-step explanation:
I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!
I need help. It is due today.
Answer:
well please send me the question again
A sample of size 20 from a normal distribution has sample mean 3.5 and sample variance 14.75. Find 90% confidence intervals for the variance and standard deviation of the distribution.
Answer:
Variance =9.2983, 27.6927
Standard deviation = 3.0493, 5.2624
Step-by-step explanation:
n = 20
S = 14.75
X² = chisquare
N-1 = degree of freedom
Alpha = 0.1
Alpha/2 = 0.1/2 = 0.05
1-0.1/2 = 0.95
Using statistics table
X² 19,0.05 = 30.14
X² 19, 0.95 = 10.12
A. 19(14.75)/30.14 , 19(14 75)/10.12
= 9.2983, 27.6927 for the variance of the population
B. Standard deviation = square root of variance
= √9.2983, √27.6927
= 3.0493, 5.2624
Please use attachment for better understanding
Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.
Answer:
69
Step-by-step explanation:
Nearest 10 = 60
15%×60 = 9
60+9 = 69
Help i'll give you brainlyest
Answer:
Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there
water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!
What we'll do:
A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water
Finding the Specific Gravity:
Density of Box:
Density = Mass / Volume
Density = 80 grams / 78 cm³
Density = 1.02 grams/cm³
Specific Gravity of Box with respect to water:
Specific Gravity = Density of Box / Density of Water
we know that density of water is 1 gm/cm³, plugging the values
Specific Gravity = 1.02 / 1
Specific Gravity = 1.02
Hence, 102% of the object will be under water
Q. but I've only heard about 100% of something, how can something be more than 100%?
A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater
Solve the system of equations.
-3y + 5x = 26
– 2y – 5x =-16
X =? Y=?
Answer:
x= 94/25
y= 58/5
Step-by-step explanation:
Answer:
X=4
Y=-2
Step-by-step explanation:
Just did it on Khan
p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.
Answer:
-2, -3, 3/2
Step-by-step explanation:
Factor 2x^2+ 3x – 9
(x+3)(2x-3)
(x + 2)(x+3)(2x-3) - the zeros are basically the opposite of the numbers here
x+2=0
x=-2
x+3=0
x=-3
2x-3=0
x=3/2
To plot just put the numbers on the x line because it is (x,0)
Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!
Answer:
100/70
Step-by-step explanation:
i did 25 times 4 got 100 then did 100/70
Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease
Answer:
D
Step-by-step explanation:
I think so :)
Now this helps if correct!
Plz hurry.....................
Answer:
figure of cuboid
volume of cuboid=l×b×h
Step-by-step explanation:
(10×3×4)in cube=120incube
20 POINTS for that someone can give me just the anwers
Answer:
Solutions for x are 2, 1/3
Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.
Answer:
:)
Step-by-step explanation:
what is the range of 125 110 115 165 145 180
Answer:
the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70
Hope this helps
Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Answer:
Cherry ice cream contains 19.75 grams of fat
Mint chocolate chunk ice cream contains 6.75 grams of fat.
Step-by-step explanation:
From the given question,
3C + 1M = 66 ............. 1
1C + 3 M = 70 ........... 2
Multiply equation 1 by 1, and 2 by 3 to have,
3C + 1M = 66
3C + 9 M = 210
Subtract,
1 M - 9 M = 66 - 210
-8 M = -54
Divide through by -8 to have,
M = 6.75
Substitute the value of M in equation 1,
3C + 1(6-75) = 66
3C = 66 - 6.75
3C = 59.25
C = 19.75
Thus,
1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.