The dependent is the one your mesuaring and that is the Total Weight. Independent is the one you change (I remember it as the is a I in independent which 'I' change) and that would be the toy weight
A student received a coupon for 12% off the total purchase price at a clothing store. Let b be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
1. equivalent expression by combining like terms.
b-0.12b
Answer:
the equivalent expression is 0.88(x)
Step-by-step explanation:
Given that
There is 12% off on the total purchase price
Based on the above information
The expression that used the given terms i.e.
b - 0.12b
i.e.
1 - 0.12
= 0.88(x)
Hence, the equivalent expression is 0.88(x)
Dividing of Polynomials
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.
Suzanna uses a 1/4 cup measuring scoop to make her coffee. If she needs to fill her coffee filter with 2 cuos of coffe grounds,how many 1/4 cups scoops will she need to use
Answer:
8
Step-by-step explanation:
1/4 times 8 is 2
For each ordered pair, determine whether it is a solution to 7x - 4y= -5.
(c+4)^2(4-c)^2 i need help
Answer
c^4-32c^2+256 (Simplified)
WILL GIVE BRAINLIEST
Find the area of the shaded region. Round to the tenths place. SHOW YOUR WORK
https://d3rqz33hmpm7kb.cloudfront.net/2021-01-15/5f6e19a9f9b9f1c16c230aae/6001f53de589b94a3a0f092f_rich-text-file-2021-01-15T20-04-46-084Z.imagepng
6-4x is Less than or equal to 26
Find the inverse of the function, f(x)=5(x-4)^3 +6
trade x and y
Answer:
y=[(x-6)/5]^(1/3)+4
Step-by-step explanation:
f(x)=5(x-4)^3 +6
trade x and y
x=5(y-4)^3 +6
x-6=5(y-4)^3
(x-6)/5=(y-4)^3
[(x-6)/5]^(1/3)=y-4
y=[(x-6)/5]^(1/3)+4
pleeeaassseee brainliest to first person
Answer:
B. 128
Step-by-step explanation:
Answer:
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
h²=100²+80²
h²=10000+6400
h=√16400=128.06m
128m is the required answer.
PLS HELP TEXT ILL GIVE BRAINLIEST
Answer:
a = -15
Step-by-step explanation:
multiply both sides by 3, then you get a = -15
Answer:
a= -15 for the first one and b= -1 for the 2nd one
Step-by-step explanation:
Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.
What is the perimeter and area?
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
how many solutions does this problem have 2x – 4 = 2(x – 2)
Answer:
= 0
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−4=2(x−2)
Step 1: Simplify both sides of the equation.
2x−4=2(x−2)
2x+−4=(2)(x)+(2)(−2)(Distribute)
2x+−4=2x+−4
2x−4=2x−4
Step 2: Subtract 2x from both sides.
2x−4−2x=2x−4−2x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
1. A film starts at 7.45 pm.
The film lasts 98 minutes.
What time does the film finish?
Answer: The film will finish at 9:23 p.m.
Answer:
9.23pm
Step-by-step explanation:
98 min is 1 hour and 38 min :)
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:
Exams are approaching and Helen is allocating time to studying for exams. She plays for the very successful women's lacrosse team and must schedule her studying around lacrosse practices and play-off games. She thinks that with the appropriate preparation, she has a 70% chance of getting an A in Marketing. She also believes that this chance will decrease to 60% if the lacrosse team makes the play-offs. Are getting an A on the exam and being in the lacrosse play-offs independent events?
Answer:
No, there events are dependent, because the change of getting an A in Marketing decreases if the lacrosse team makes the playoffs.
Step-by-step explanation:
Independent events:
Two events are said to be independent if one event happening, or not, does not change the probability of the other event happening.
In this question:
The change of getting an A in Marketing decreases if the lacrosse team makes the playoffs, which implies that the events are dependent, an the answer is no.
Y’all help meeeee :(
La torre de pisa tiene una altura aproximada de 56m. Actualmente, la torre se separa de la vertical una distancia de 3,9m. halla la longitud de la vertical desde la cima de la torre hasta el suelo.
con procedimiento porfavor.
Answer:
Raíz cuadrada de (3.9)^2+(56)2
Step-by-step
C^2= a^2+b^2
Sabes que la c es la distancia del punto más alto de la Torre hasta donde llega tu vista
workout the following divisions:
Answer:
I think this is the same as yesterday.
OMG PLEASE HELP MEEEEEEE
Which expression could represent the additive inverse property?
A) −9 + 0
B) −9 −9
C) −9 + 1
D) −9 + 9
What is equivalent to the equation y=3x+z/4?
A ladder is standing on horizontal ground and rests against a vertical
wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places. (Show your working)
Answer:
I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one
Step-by-step explanation:
If Siny = x Sin (a+y). Prove that
dy/dx=[Sin²(a+y)]/Sina
Answer:
Use Trigonometric formulae to simplify expressions
Step-by-step explanation:
Re-order to group the x and y,
Sin(y) / Sin(a+y) = x
to differentiate apply d/dx to both sides
[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x
use division rule on left side which will give
[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1
Group them so dy/dx is on the left hand side:
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)
Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]
Simplify it
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))
How many 1/6 pound servings are in 10 pounds of chicken ? Pls help
Answer:
60
Step-by-step explanation:
1/6 * 60 = 60/6
60/6 = 10/1 = 10
The number of 1/6 pound servings in 10 pounds of chicken is; 60
Division of fractionWe are required to determine how many 1/6 pound servings are in 10 pounds of chicken.
Hence ; we have;
10 ÷ 1/610 × 6/1= 60.
Read more on divisions;
https://brainly.com/question/1622425
Please help me I will choose the Brainliest if it's correct tenkchuu
What is the end behavior for the graph of the function
f(x)=9/10 log [-(x + 9)] + 10?
Answer:If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this.
Step-by-step explanation:g
Which is the graph of f(x)= 1 4 (4)^ x ?
Answer:
it is the last graph/D
Step-by-step explanation:
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary. r = 2m
The answer is 12.57
But rounded to the nearest tenth is 12.6
When dealing with word problems and linear equations, what does the y-intercept represent and how is the slope defined?
a.
y-intercept represents the final value, slope is increasing
c.
y-intercept represents the starting value, slope is the rate of change
b.
y-intercept represents the final value, slope is decreasing
d.
y-intercept represents the starting value, slope is decreasing
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
y-intercept represents the starting value, slope is the rate of change
slope is rise/run
Answer:
C is correct! :D
Step-by-step explanation:
Edge nuity 2021
what is the answer of 17x12
Answer:
204
Step-by-step explanation:
17x12=204