Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
What is equivalent to the equation y=3x+z/4?
Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n
Answer:
The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.
Step-by-step explanation:
We use the normal approximation to the binomial distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.
This means that [tex]p = 0.45[/tex]
Mean and standard deviation for the approximation, for a sample of n:
[tex]\mu = E(X) = np = 0.45n[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]
Calculate the probability that fewer than 320 out of the n
Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]
Just have to replace the value of n, find Z, and then find its pvalue.
help i need the answers by tomorrow
8 inch radius:
area: 200.96
circum: 50.25
12 yd rad:
area: 452.16
circum:75.36
20 ft dia:
area: 314
circum:62.8
36 dia:
area:1017.36
circum: 113.04
How many times can 45 go into 7,200?
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
What is 21/1 divided by 1/4
Answer:
84
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions
21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1
This can be written as 84
Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?
Answer:
$10
Step-by-step explanation:
3($2.20)+3.40
6.60+3.40=10
Factorise the expressions and divide them as directed.
Answer:
Here you go. Check the answer in book too.
Answer:
10m ( p - q )
Step-by-step explanation:
[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]
[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]
[tex] \frac{10lm(p - q)}{l} [/tex]
[tex]10m(p - q)[/tex]
Hope it is helpful....
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
What is the solution to the equation below? vx-5=x-11
A. X=9
B. X=15
C. X=14
D. X=6
Answer:0=−6
Step-by-step explanation:
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
7ft
5ft
8ft
7ft
Find the area of each figure
After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work
Answer: 116.67
Step-by-step explanation:
30/100 * x = 35
3/10 * x = 35
3x = 350
x = 116.67
help me please, please
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
(-1) + 1 = 0 is which inverse
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer....
--> ADDITIVE INVERSE!Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
Hope it helps you,
mark me brainliest pls.....
Follow me! :)
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Which expression is equivalent to −3 2/3
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?
I bye a notebook for $8.00. It is on sale for 20% off.
What is the sale price?
Answer:
$6.40
^w^ -ash
A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?
Answer:
5 2/3
Step-by-step explanation:
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y axis is a parabola.
Select one:
True
False
Answer:
The correct option is;
False
Step-by-step explanation:
The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;
Circle; (x - h)² + (y - k)² = r²
Parabola; y = a·(x - h)² + k
[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]
The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola
Therefore, the graph may not be the graph of a parabola and the statement is false
Answer:
The correct answer is True
Step-by-step explanation:
I took the quiz and got it right.
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart