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Suppose that a 99% confidence interval for a population mean is between 3 and 6 . Using the same data, if you test the null hypothesis that the population mean is 4 . what would be the test results? Not rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01. Supporting the research hypothesis that the population mean is not 4 at the alpha level of 0.05. Concluding that the population mean'is statistically significantly different from 4 at the alpha ievel of 0.01. Rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01
The correct answer is "Rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01."This is because we have evidence to support the research hypothesis that the population mean is not 4, and the result is statistically significant at the 0.01 level.
A 99% confidence interval for a population mean between 3 and 6 implies that there is a 99% chance that the population mean is between 3 and 6. The null hypothesis, H0, is that the population mean is 4. The alternative hypothesis, H1, is that the population mean is not equal to 4.Using the same data, if we test the null hypothesis that the population mean is 4 at the alpha level of 0.01, the result will be rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01.
This is because a 99% confidence interval means that the alpha level is 0.01. Thus, if we test the null hypothesis at the alpha level of 0.01 and get a result that is different from what we expect, then we reject the null hypothesis. Since the 99% confidence interval is between 3 and 6, we can say with 99% confidence that the population mean is not equal to 4, which means that we can reject the null hypothesis that the population mean is 4. Therefore, the correct answer is "Rejecting the null hypothesis that the population mean is 4 at the alpha level of 0.01."This is because we have evidence to support the research hypothesis that the population mean is not 4, and the result is statistically significant at the 0.01 level.
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What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Enter your answer as a decimal in the box
The measure in radians for the central angle of the circle is; 0.9 radians.
What is the angle measure in radians of the central angle?Since, the length of the arc is given as 7.2cm and it's radius is 8cm.
It follows that the angle measure of the central angle can be evaluated as follows;
7.2 = (A/6.28) × 2× 3.14 × 8
7.2 = 8A
A = 7.2/8
A = 0.9 radians.
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aden spent $10 on a mug and then sold it, making 20% profit. how much did he sell the mug for?
Answer:
12$
Step-by-step explanation:
10% of 10 is 1$ 20% of 10 is 2$ so the answer is 12$
calculate the growth rate of nominal gdp from 2016 to 2017
To calculate the growth rate of nominal GDP from 2016 to 2017, use the following formula:
Growth Rate = (GDP 2017 - GDP 2016) / GDP 2016
In this case, the growth rate would be (GDP 2017 - GDP 2016) / GDP 2016 = X.
Nominal GDP is a measure of how much money a country makes in a year from all the goods and services produced within its borders. To calculate the growth rate of nominal GDP from 2016 to 2017, we need to find out how much nominal GDP increased in that one-year period.
Let's say that in 2016, the nominal GDP of the country was $100 billion, and in 2017, it was $110 billion. To find out the growth rate, we need to calculate the percentage increase from 2016 to 2017.
We can do this by taking the difference between the two years' nominal GDP ($110 billion - $100 billion = $10 billion), dividing that by the nominal GDP in 2016 ($100 billion), and then multiplying by 100 to get the percentage increase.
So, the growth rate of nominal GDP from 2016 to 2017 is 10%. This means that the country's economy grew by 10% in terms of the amount of money it made from goods and services in that one-year period.
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pls help i will put braininliest
Answer:
Container B
Step-by-step explanation:
As depth increases the time it takes to fill the container increases. Object B is the best fit cause the amount of water in 1 seconds it needs at first is less and then the time its takes as depth increases is more.
Write 565,000 in scientific notation.AnswerX10
The given number is
\(565000\)The scientific notation of the number is,
\(5.65\times10^5\)Given that x=2, y=5 and z=3 evaluate the value of x-2y
Answer:So firstly, plug in the numbers into the expression:
Next, solve the exponents:
Next, solve the multiplications:
Lastly, combine everything, and your answer will be -23.
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
By substituting the given numeric values for x,y and z into the expression.
That is
(3)3−2(5)2−3(3)3+(−3)4
------------------------------------------------
I'll evaluate each term separately.
(3)3=3×3×3=9×3=27
2(5)2=2×(5×5)=2×25=50
3(3)3=3×(3×3×3)=3×27=81
(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81
-------------------------------------------------
Replace these values back into the expression , noting the values which are subtracted.
⇒27−50−81+81=27−50=−23
Let theta be an acute angle of a right triangle. Find the values of the other five trigonometric functions of theta.
The exact values of the remaining trigonometric functions are listed below:
Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4
Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11
Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3
Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2
How to find the exact values of trigonometric functions
In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:
sin θ = y / √(x² + y²)
cos θ = x / √(x² + y²)
tan θ = y / x
cot θ = x / y
sec θ = √(x² + y²) / x
csc θ = √(x² + y²) / y
Now we proceed to determine the exact values of the trigonometric functions:
Case 3: y = 4, √(x² + y²) = 5
x = √(5² - 4²)
x = 3
cos θ = 3 / 5
tan θ = 4 / 3
cot θ = 3 / 4
sec θ = 5 / 3
csc θ = 5 / 4
Case 4: x = 5, √(x² + y²) = 6
y = √(6² - 5²)
y = √11
sin θ = √11 / 6
tan θ = √11 / 5
cot θ = 5√11 / 5
sec θ = 6 / 5
csc θ = 6√11 / 11
Case 5: x = 8, √(x² + y²) = √73
y = √(73 - 8²)
y = 3
cos θ = 8√73 / 73
sin θ = 3√73 / 73
tan θ = 3 / 8
cot θ = 8 / 3
csc θ = √73 / 3
Case 6: x = √3, y = 1
sin θ = 1 / 2
cos θ = √3 / 2
tan θ = √3 / 3
sec θ = 2√3 / 3
csc θ = 2
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How do you find the total sum of squared values?
\( \sum \frac{12}{n = 3}{r}^{2} \)
Answer:
Step-by-step explanation:
\(\sum^{12}_{r=1} r^2 = \frac{12(12+1)(2*12+1)}{6}= A\)
\(\sum_{r=3}^{12}= \sum_{r=1}^{12} - (r_1+r_2)\)
\(r_1= 1^2\)
\(r_2= 2^2\)
you do your math!!
Write equivalent fractions for
2/3
and
5/12
using the least common denominator.
The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for 5/12 is (4×5)/(4×12) = 20/48.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.
The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.
We have to multiply the same number to both the numerator and denominator to get equivalent fractions.
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the water in a drainpiipe is 18 cm deep. the width of the surface of the water is 48 cm. find the radius of the pipe
The radius of the pipe is approximately 8.13 cm.
To find the radius of the pipe, we can use the formula for the volume of a cylinder, which relates the depth of the water, the width of the surface, and the radius of the pipe.
The volume of a cylinder is given by the formula V = π\(r^2\)h, where V is the volume, r is the radius, and h is the height or depth.
In this case, we are given the depth of the water as 18 cm and the width of the surface as 48 cm.
Since the width of the surface is equal to the diameter of the pipe, we can use the formula for the diameter of a circle, which is twice the radius.
Therefore, the radius is half of the diameter, or r = 48/2 = 24 cm.
Using the formula for the volume of a cylinder, we can write the equation as V = π\((24)^2\)(18), where V is the volume.
We know that the volume is equal to the cross-sectional area of the pipe multiplied by the depth of the water.
The cross-sectional area is given by the formula A = π\(r^2\).
Now we can solve for the radius.
Rearranging the equation V = π\((24)^2\)(18), we get
\((24)^2\) = V/(π(18))
Solving for \((24)^2\), we find that the radius is approximately 8.13 cm.
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Consider the equation 5a = 4+b.
What values of a and b make the equation above true?
A a= 5 b = 9
B a=-5 b= -9
С a= -1 b= -9
Answer:
your answer will be option d
Step-by-step explanation:
look.
5a=4+b
now put the values
of option d
5×-1=4-9
-5=-5 I hope u understand
a cylinder whose height is 5 meters has a volume of 320pi cubic meters. find the radius of the cylinder.
Answer:
8m
Hope this answers the question. Have a nice day.
The function A(t) = 1950 (0.65)t models the amount A(t) , in dollars, that Ted's company deducts from his check for health insurance based on time t, in months that Ted has worked for the company. Determine the rate used in this formula and identify as growth or decay.
Answer:
This is an Exponential decay
The Exponential decay rate = 35%
Step-by-step explanation:
Looking at that the above question, it is an Exponential decay
The formula for Exponential decay is:
A(t) = Ao (1 - r)^t
In the above question:.
A(t) = 1950 (0.65)^t
r = rate
Hence:
(1 - r) = (0.65)
1 - r = 0.65
r = 1 - 0.65
r = 0.35
Converting to percentage
0.35 × 100
= 35%
Hence, the Exponential decay rate is 35%
A linear equation is an equation whose graph is a straight line.
Answer:
True
Step-by-step explanation:
Plotting the point of any linear equation on a graph gives a straight line
Answer:
True
Step-by-step explanation:
AMS and ENR are congruent triangles. What is the value of x in angle E? Show and explain your work.
The value of x in the angle E is 19.
We have,
Since the triangles are congruent.
Corresponding sides and angles are equal.
This means,
112 = 16x
Solve for x.
112 = 6x
x = 112/6
x = 18.66
x = 18.7
Rounding to the nearest whole number.
x = 19
Thus,
The value of x in the angle E is 19.
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5y+3x=136
3y+5x=120
what is the value of x and y
It is roughly 8100 miles to fly from California to Australia. If it takes the airplane 15 hours to reach its destination of Australia, what was the average speed of the airplane in feet per hour?
Answer:
540 miles an hour or 2,851,200 Feet an hour
Step-by-step explanation:
8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
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Divide: 83.5 ÷ 6.25 The first step in solving 83.5 ÷ 6.25 is to multiply the divisor and dividend by . The new division problem is .
Answer:
1: B
2: C
(I need 20 characters so bla bla bla bla bla bla bla)
julio has 3 yards of wood he needs 2/5 of a yard to make a skateboard how many skateboards can he make SOLVE PLEASE AND EXPLAIN
The maximum number of skateboards Julio can make is 7.
What is division?A division is a process of splitting a specific amount into equal parts.
Given that, Julio has 3 yards of wood he needs 2/5 of a yard to make a skateboard, we need to find how many skateboards can be made,
So, to find the number of skateboards we will divide total length of wood to the length of on skateboard,
Therefore,
The number of skateboards = 3 / 2÷5
= 3×5/2
= 15/2
= 7.5
Hence, the maximum number of skateboards Julio can make is 7.
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hree red beads, two white beads, and one blue bead are placed in line in random order. what is the probability that no two neighboring beads are the same color?
The probability that no two neighboring beads are the same color is 1/12.
Define probability.According to the probability formula, the likelihood that an event will occur is equal to the proportion of favorable outcomes to all outcomes. Number of favorable outcomes/Total Number of outcomes determines the probability that an event will occur, P(E).
Given,
The beads on the line are arranged in distinct sequences. We have the following setups that satisfy the necessary condition:
6!/3!2!1! = 120
Case 1:
We have 3!/2! × 2 = 6
Configurations exist.
We have,
2 × 2 = 4
There are therefore 10/120 orders that satisfy the necessary criterion.
The probability is 10/120 = 1/12
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-7+2
Chises: 6 5 -5 9
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?
Answer:
\(y = -6\)
Step-by-step explanation:
Because is a line is of the form
\(y = mx + b\)
and its parallel to the line
\(2 - y &= 7\\- y &= 5\\y = -5\)
So that's meaning that the slope \(m\) is equal to 0 then the equation now is of the form
\(y = b\)
Then if pass for the point -6 and \(b\) is the point of cut with the \(y\) axis then our equation of the line is equal to
\(y = -6\)
gender of the manatees could be an important variable when studying manatees. what type of variable is gender? group of answer choices categorical quantitative
The gender of the manatees could be an important variable when studying manatees. Gender is an a. categorical variable.
An example of a categorical variable is one that divides data into categories. Here, the categorical variable represents a particular gender while studying manatees. Rather than using numerical values, categorical variables are typically expressed by labels or terms like owns or rents. Researchers may more readily identify and analyse data by employing categorical variables. Thus, a categorical variable here is gender.
Variables that typically fall into separate categories or groups are known as categorical variables, and they cannot be quantified on a continuous scale. Gender is a categorical variable in study of manatees because it may be categorised into distinct groups, such as male or female, without the need of quantitative measures.
Complete Question:
Gender of the manatees could be an important variable when studying manatees. what type of variable is gender?
a. Categorical
B. Quantitative
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Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
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-16x=2y-10
standard form
Answer:
16x + 2y = 10
Step-by-step explanation:
need help ive been stuck on this lesson to long
Answer:
Mia: do not intersect, zero
Roberto: cannot
Delmar: never, zero
Pleaseeee help meeeee
Answer:
x=-8
Step-by-step explanation:
1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)
so
4x+1=-31
a) 4x+1-1=-31-1
4x=-32
b) remove the coefficient by doing the opposite operation(division in our case)
x=-8
Without using a calculator, order the following numbers from least to greatest.
Answer:
√78,9,10
Step-by-step explanation:
we know \(9^{2}\) is 81
so √78 is less than √81(9) and 10 is obviously more than 9
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