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]
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
Pls help!!!! Thank you
Answer: No.
Step-by-step explanation: YOU ALREADY HAVE THE ANSWER
2x+9 = 35 solve for x
Answer:
x=13
Step-by-step explanation:
2x+9=35
2x=35-9
2x=26
x=26/2
x=13
Which formula would you enter into D3, and then AutoFill into D4 to D6, to calculate the winning percentage (Pct.) for the teams?
workout the following divisions:
Answer:
I think this is the same as yesterday.
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
https://brainly.com/question/15980493
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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
Area of a rectangle
Equation
what is the answer of 17x12
Answer:
204
Step-by-step explanation:
17x12=204
(c+4)^2(4-c)^2 i need help
Answer
c^4-32c^2+256 (Simplified)
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.
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
A salesperson sells $2,500 in merchandise and earns a commission of $300. What is the commission rate as a percentage?
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 :) !!
A rope 55 feet long is cut into two pieces. If one piece
is 23 feet longer than the other, what is the length, in
feet, of the shorter piece?
A. 2
B. 16
C. 23
D. 32
E. 51
Answer:
the answer is D
Step-by-step explanation:
55-23=32
Answer:
16
Step-by-step explanation:
shorter piece measures x
longer piece measures x +23
Together they measure 55 ft
x + (x+23) = 55
2x + 23 = 55
-23 = -23
____________________
2x = 32
x = 16
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.
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
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.
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)
Solve the system of equations.
y = 6x + 13
y = 2x + 1
a.
( 5, 3)
c.
( 3, -5)
b.
( -3, -5)
d.
No solution
Please select the best answer from the choices provided
A
B
C
D
Answer:
b.
( -3, -5)
Step-by-step explanation:
6x + 13 = 2x + 1
6x -2x = 1-13
4x = -12
x = -12/4 = -3
y = 6x + 13
y = 6(-3) +13 = -18+13 = -5
(x, y) = (-3,-5)
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
Omg!! Please help!! Thank you
Answer:
the first one since it shows all the lines being equal and therefore making the angles equal
Answer:
AB=DE, BC=EF, AC=DF
Step-by-step explanation:
The first one is correct
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 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]
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
OMG PLEASE HELP MEEEEEEE
Which expression could represent the additive inverse property?
A) −9 + 0
B) −9 −9
C) −9 + 1
D) −9 + 9
Order the angles from smallest to largest, I need help with it
Answer: <F, <D, <E
Step-by-step explanation:
The smallest angle is determined by looking at the shortest side, and then going across from it. Then medium, 5, across. And so on.
The line passes through (0,4) and (6,6), so the slope is
Answer:
1/3
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))
i need da answer plssssssssss