Answer:
mathematics
Step-by-step explanation:
Example....
"She teaches math and science" .
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
Dividing of Polynomials
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
OMG PLEASE HELP MEEEEEEE
Which expression could represent the additive inverse property?
A) −9 + 0
B) −9 −9
C) −9 + 1
D) −9 + 9
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.
Which equation(s) represents a nonproportional relationship? Select all that apply
O y = 3x
O y = 3x-2
O y=x+1
O y=-4x
O y=-2-4
The line passes through (0,4) and (6,6), so the slope is
Answer:
1/3
Step-by-step explanation:
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.
what is x ? full explanation please
Answer:
x = 6
Step-by-step explanation:
Looking at the figure, we can say that it is a vertical angle.
5x - 7 = 23
5x - 7 + 7 = 23 + 7
5x = 30
5x / 5 = 30 / 5
x = 6
Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.
5x - 7
5(6) - 7
30 - 7
23
Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Solve for the value of x.
Answer:
x=4/3
Step-by-step explanation:
9x+8=12x+4
Subtract 8 from both sides;
9x+8-8=12x+4-8
Simplify;
9x=12x-4
Subtract 12x from both sides;
9x-12x=12x-4-12x
Simplify;
-3x=-4
Divide both sides by -3
-3x/-3=-4/-3
Simplify;
x=4/3
i need da answer plssssssssss
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.
A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief.
Required:
What is the correct test statistic for the hypothesis test?
Answer:
t= 64.2-63 / 2.9/ sqrt 40
Step-by-step explanation:
Got it right on AP Classroom
There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.
What is the null hypothesis?The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.
1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.
the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7
2. z = (variate - mean)/ (standard deviation/
Z = (64.2 - 63.7)/ (20/roots 45) =0.17
meaning there is
B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.
3. if the level of significance is 0.05 or between 0.05 and 0.01, i.e. the confidence level is 95% or between 95% and 99%, the results are considered to be probably significant, i.e. the results are probably correct,
Therefore, the alternative hypothesis is correct
To know more about the Null hypothesis follow
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A salesperson sells $2,500 in merchandise and earns a commission of $300. What is the commission rate as a percentage?
Please help me I will choose the Brainliest if it's correct tenkchuu
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))
you have 4 ice cubes in your cup of lemonade. each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height if 2 4/5 cm. what is the total volume of all ice cubes? explain how you used math to come to your decision.
Answer:
how is this Spanish
Step-by-step explanation:
(c+4)^2(4-c)^2 i need help
Answer
c^4-32c^2+256 (Simplified)
Which is the graph of f(x)= 1 4 (4)^ x ?
Answer:
it is the last graph/D
Step-by-step explanation:
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:
Pls help!!!! Thank you
Answer: No.
Step-by-step explanation: YOU ALREADY HAVE THE ANSWER
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1110 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 170 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1172.61 milligrams of sodium per package with a sample standard deviation of 241.88 milligrams. Step 2 of 2 : Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states
Answer:
[tex]1124.28 \text { to } 1220.94[/tex]
Step-by-step explanation:
A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,
First, compute t -critical value then find confidence interval.
The t critical value is,
The sample size is small and two-tailed test. Look in the column headed [tex]\alpha=0.01[/tex] and the row headed in the t distribution table by using degree of freedom is,
d . f . =n-1
=170-1
=169
The t critical value is 2.605 .
[tex]99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}[/tex]
[tex]=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}[/tex]
[tex]=1172.61 \pm 48.33[/tex]
[tex]=1124.28 \text { to } 1220.94[/tex]
A [tex]99%[/tex]confidence interval for the mean sodium content in Oriental Spice Sauce is
[tex]1124.28 \text { to } 1220.94[/tex]
Write the polynomial as a product of a difference and a sum: b^2-4/9
Answer:
[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDAStips and formulas:[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]let's solve:[tex] \sf \: rewrite : \\ ( {b})^{2} - ( \frac{2}{3} {)}^{2} [/tex][tex] \sf use \: the \: formula : \\ (b + \frac{2}{3} )(b - \frac{2}{3} )[/tex]Answer:
Solution given:
[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]
it is in the form of x²-y²=(x+y)(x-y)
so
[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.
Step-by-step explanation:
There are 8 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
_______% are apples.
Answer:
80%
Step-by-step explanation:
Because the answer is 80%
Answer:40 percent
Step-by-step explanation:Total number of fruit in a bowl is 15 pieces.
Number of apples are 6 pieces in a bowl.
6/15 times 100 equals 40%
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:
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)
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
2
Round 2674 to the nearest hundred
2674 to the nearest hundred would be 2700
What is the slope of the line that contains these
points?
X=
-1 1
3
5
у=
10
2
-6
-14
Answer:
The slops is -4
Step-by-step explanation:
Given
x: -1 1 3 5
y: 10 2 -6 -14
Required
The slope
Pick any pair of x and y
[tex](x_1,y_1) = (-1,10)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
The slope is:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{2 -10}{1 --1}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
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