Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
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....
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)
help me please, please
What is the correct answer?
Answer:
6 units to the right, 3 units down
Step-by-step explanation:
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
7ft
5ft
8ft
7ft
Find the area of each figure
You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answer:
Step-by-step explanation:
It’s 20
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 expression is equivalent to −3 2/3
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
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.
A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
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 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:
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:
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
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.
A. On the same line
B. Unequal
C. Imaginary
D. The same point
Answer:
D. The same point
Step-by-step explanation:
An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.
This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.
Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.
How many times can 45 go into 7,200?
Answer:
160
Step-by-step explanation:
divided 7200 by 45 to get 160
What is equivalent to the equation y=3x+z/4?
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)
In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?
Answer:
65
Step-by-step explanation:
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
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
Convert the angle −4.5 radians to degrees, rounding to the nearest 10th
Answer:-257.8
Step-by-step explanation:
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
PLEASE HELP!!!
Which expression are equal to 6³×2 6÷2³?
O12 6
O12³
O6³
O2 6×3³
O2³×3³
Answer:
(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
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
you roll two 6-sided number cubes
where is the question I dont see it
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
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