The hypothesis test is left-tailed, and we are testing the population standard deviation.
If a hypothesis test has an equal hypothesis versus a not equal hypothesis, then it is a two-tailed test.
If it has an equal hypothesis versus a less than hypothesis, then it is a left-tailed test.
Finally, if it has an equal hypothesis versus a greater than hypothesis, then it is a right-tailed test.
This is an equal hypothesis versus a 'less than', so this is left-tailed.
Recall that is the population mean, a is the population standard deviation, and p is a population proportion.
Since the hypotheses refer to σ we are testing the population standard deviation.
Hence, the hypothesis test is left-tailed, and we are testing the population standard deviation.
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which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
Water works commission assume population standard deviation is 1.7 gallons. 15.8 gallons a day for sample of 249 families. Construct 80% confidence intervals
The 80% confidence interval for the average water usage of 249 families is (15.42, 16.18) gallons.
To construct an 80% confidence interval for the average water usage of 249 families, we can use the following formula:
CI = X ± t(α/2, df) * (s/√n)
where X is the sample mean (15.8 gallons), t(α/2, df) is the critical t-value from the t-distribution table at the desired confidence level and degrees of freedom (247 in this case), s is the population standard deviation (1.7 gallons), and n is the sample size (249).
At an 80% confidence level and 247 degrees of freedom, the critical t-value is approximately 1.296.
Plugging in the values, we get:
CI = 15.8 ± 1.296 * (1.7/√249)
CI = 15.8 ± 0.38
Therefore, the 80% confidence interval for the average water usage of 249 families is (15.42, 16.18) gallons.
This means that we are 80% confident that the true average water usage of the population lies within this interval.
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Which statement is true about the end behavior of the function represented by the graph
Answer:3
Step-by-step explanation:
Brenda is a metalsmith who makes custom signs out of different types of metals. She sold 10
signs this week in the following metals:
copper, silver, brass, silver, aluminum, copper, brass, copper, silver, copper
Based on the data, estimate how many of the next 40 signs Brenda sells will be made of
brass.
If necessary, round your answer to the nearest whole number.
Answer:
8
Step-by-step explanation:
Brenda sold 2 brass signs of the 10 signs she sold this week. You want an estimate of the number of brass signs she will sell out of the next 40.
ProportionWe expect the proportion of brass signs to remain the same, so the number (x) of brass signs in the next 40 signs is expected to be ...
x/40 = 2/10
x = 40(2/10) = 8
We estimate Brenda will sell 8 brass signs out of the next 40 signs she sells.
<95141404393>
Simplify:
Please see the attachment.
Answer:
Step-by-step explanation:
[tex]\frac{9\sqrt{x} -6}{\sqrt{x} +7} \times \frac{\sqrt{x} -7}{\sqrt{x} -7} \\=\frac{9(x)-63\sqrt{x} -6\sqrt{x} +42}{(\sqrt{x} )^2-7^2} \\=\frac{9x-69\sqrt{x} +42}{x-49}[/tex]
22. Florida has a population of about
2 x 107. The Earth has a population
of about 8 x 10⁹. About how many
times more populated is the Earth
than Florida? Express your answer as a
whole number.
s
Answer:7
Step-by-step explanation:
Chase rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that he will roll a number greater than 6?
1.unlikely
2.impossible
3.an equal chance or 50-50
4.likely
Please help.
Answer:
This (1.) unlikely
PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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The function,f(x), is plotted below, Evaluate each limit, if it exists.
The limit exists and is equal to 6.
The limit exists and is equal to 4.
Now, let's use this concept to evaluate the limits of the given function F(x). Looking at the graph of F(x), we see that it approaches different values as x approaches different points. We will evaluate each limit separately:
lim F(x) as x → 1
As x approaches 1 from the left side, the function appears to be approaching a value of 2. Similarly, as x approaches 1 from the right side, the function appears to be approaching a value of 4. However, the limit does not exist as the function is not approaching a single value as x approaches 1.
lim F(x) as x → 3
As x approaches 3, the function appears to be approaching a value of 4.
lim F(x) as x → ∞
As x approaches infinity, the function appears to be approaching a value of 6.
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Convert the following decimal (base 10) numbers to Mayan notation. Show your calculations used to get your answers.
a) 234
b) 10, 503
The Mayan notation is shown below.
1. 234
The highest power of 20 that will divide into 3575 is 20² = 400
So, 234/ 400 = 0.585
0.585 x 20=11.7
0.7 x 20= 14
So, 234₁₀= 11,14₂₀
Now, the Mayan notation will be
14 in the ones position three bars at the bottom of the number.
11 the 20s place, so that’s three bars and three dots in the second position.
2. 10503
The highest power of 20 that will divide into 3575 is 20² = 400
So, 10503/ 400 = 26.2575
0.2575 x 20= 5.15
05.15 x 20= 3
So, 234₁₀= 26, 5,3₂₀
Now, the Mayan notation will be
3 in the ones position three dots at the bottom of the number.
5 the 20s place, so that’s one bars and three dots in the second position.
and, 26 shows by 2 vertical dots and bar.
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(a) How much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake?
_____ times as strong
(b) How much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake?
_____ times as strong
a. The magnitude of earthquake 7 is 1.259 times stronger than a magnitude 6 earthquake
b. The magnitude of earthquake 9 is 1.995 times stronger than a magnitude 6 earthquake
What is the magnitude of an earthquake?The magnitude of an earthquake is given by M = 10㏒(A/A₀) where A = intensity of eartquake and A₀ = standard intensity
a. To find out how much stronger is a magnitude 7 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 7,
M = 7 and intensity = A'So, M = 10㏒(A'/A₀)
7 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
7 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
1 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
1 = 10㏒[(A'/A")
㏒[(A'/A") = 1/10
Taking inverse logarithm, we have
(A'/A") = ¹⁰√10
= 1.259
So, it is 1.259 times stronger
b. To find out how much stronger is a magnitude 9 earthquake than a magnitude 6 earthquake, we proceed as folllows.
For a magnitude of 9,
M = 9 and intensity = A'So, M = 10㏒(A'/A₀)
9 = 10㏒(A'/A₀) (1)
For a magnitude of 6,
M = 6 and intensity = A"So, M = 10㏒(A'/A₀)
6 = 10㏒(A"/A₀) (2)
Subtracting (2) from (1), we have that
9 - 6 = 10㏒(A'/A₀) - 10㏒(A"/A₀)
3 = 10㏒[(A'/A₀) ÷ (A"/A₀)]
3 = 10㏒[(A'/A")
㏒[(A'/A") = 3/10
Taking inverse logarithm, we have
(A'/A") = 10⁰°³
= 1.259
So, it is 1.995 times stronger
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1. A trapezoid is shown. What is the area of the trapezoid?
Answer:
312 cm^2
Step-by-step explanation:
(6x24)+2(24x7/2)
144+168= 312
A rectangular pyramid is shown in the figure 5cm 6 cm 4 cm 5.5cm what is the surface area of the pyramid
The total surface area of the square pyramid is 99 cm²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
To get the surface area:
Area of base = 10 cm * 2 cm = 20 cm²
Area of first triangle lateral face = (1/2) * 2 cm * 8 cm = 8 cm²
Area of second triangle lateral face = (1/2) * 10 cm * 6.3 cm = 31.5 cm²
Total surface area = 20 cm² + 2(8 cm²) + 2(31.5 cm²) = 99 cm²
The total surface area is 99 cm²
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Heather's statement shows a previous balance
of $1413.92, a payment of $40, and new
transactions totaling $381.51. What is her
new balance if her APR is 16.2%?
Heather's new balance if her APR is 16.2% is, $1773.98
We have to given that;
Heather's statement shows a previous balance of $1413.92, a payment of $40, and new transactions totaling $381.51.
Hence, We have;
Previous balance: 1413.92
payment: 40
new transaction: 381.51
APR: 16.2%
So, We need to divide APR by 12 to get the monthly rate:
16.2% / 12 = 1.35%
⇒ 1413.92 - 40 = $1373.92
And, Interest for month = 1373.92 x 1.35%
= $18.55
Since, We did not include 138 because it still is within the 1 month period and it is not subject to interest.
Only the revolving amount of 1373.92 has interest.
So, Heather's new balance if her APR is 16.2% is,
= 1373.92 + 18.55 + 381.51
= $1773.98
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What is the mean (rounded to the nearest hundredth) of
90.75
99.17
71.80
100.00
97.33
79.58
92.58
87.09
81.59
91.86
and 94.18
A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
A
36°
A. 2.4 yds
B. 3.6 yds
b
C. 2.8 yds
D. 3.2 yds
3 yds
Triangle not drawn to scale
28°
C
Answer: 2.4
Step-by-step explanation: obviously not anywhere close to 3 trust
Please answer this Calculus webwork question about differential equations:
Answer:
a)
[tex]4ydy = xdx[/tex]
[tex]2 {y}^{2} = \frac{1}{2} {x}^{2} + c[/tex]
[tex] {y}^{2} = \frac{1}{4} {x}^{2} + c [/tex]
[tex] {y}^{2} - \frac{1}{4} {x}^{2} = c [/tex]
b)
c = 4, so
[tex] {y}^{2} = \frac{1}{4} {x}^{2} + 4[/tex]
[tex]y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} [/tex]
[tex]y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} [/tex]
What is the surface area of the triangular prism?
10 cm
5 cm
5 cm
5 cm
4 cm
The surface area of the triangular prism is 120 sq cm
What is the surface area of the triangular prism?From the question, we have the following parameters that can be used in our computation:
Dimensions = 10 cm 5 cm 5 cm 5 cm and 4 cm
Using the formula of the surface area of the triangular prism, we have
Surface area = bh + (l1 + l2 + l3) * h
Substitute the known values in the above equation, so, we have the following representation
Surface area = 10 * 5 + (5 + 5 + 4) * 5
Evaluate
Surface area = 120
Hence, the surface area is 120 sq cm
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A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
√² +13
Simplify
63x
real numbers and p and q are rational.
01
1
1
1/3
1/3
+
+
13
6
< Previous
-.Write the answer in the form ax² + bx without using radicals. a and bare
13x¹/3
6
13
1/3
+ -x-1/3
6
Next ▸
Answer:
third answer option
Step-by-step explanation:
[tex] \sqrt[3]{ {x}^{2} } = {x}^{ \frac{2}{3} } [/tex]
[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{1}{ {x}^{ \frac{1}{3} } } = {x}^{ - \frac{1}{3} } [/tex]
[tex] \frac{ {x}^{ \frac{2}{3} } }{6 {x}^{ \frac{1}{3} } } = \frac{1}{6} \times {x}^{ \frac{1}{3} } [/tex]
[tex] \frac{13}{6 {x}^{ \frac{1}{3} } } = \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
so, the result is
[tex] \frac{1}{6} \times {x}^{ \frac{1}{3} } + \frac{13}{6} \times {x}^{ - \frac{1}{3} } [/tex]
help me pls right answer only. here is screenshot algebra, quick
x at the vertex would help Charlie to find out how long it takes his basketball to reach the highest point.
When a quadratic function is in vertex form, the vertex (h, k) represents the highest or lowest point of the parabola.
In this case, the time it takes for the basketball to reach the highest point can be found by finding the x-value of the vertex of the function that represents the height of the basketball over time.
Therefore, option (A) x at the vertex would help Charlie to find the time at which the basketball reaches the highest point.
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Solve the following simultaneous equation using algebra
6x+3y=45
The solution to the simultaneous equation is x = 6 and y = 3.
To solve this system of equations, we can use the method of elimination. First, we want to eliminate one of the variables, either x or y. In this case, it is easiest to eliminate y. To do so, we can multiply the second equation by 3, which gives us:
6x + 3y = 45
6x - 6y = 18
Now, we can subtract the second equation from the first:
6x + 3y - (6x - 6y) = 45 - 18
Simplifying this expression, we get:
9y = 27
Dividing both sides by 9, we get:
y = 3
Now that we know the value of y, we can substitute it into either equation to find the value of x. Let's use the first equation:
6x + 3y = 45
6x + 3(3) = 45
6x + 9 = 45
Subtracting 9 from both sides, we get:
6x = 36
Dividing both sides by 6, we get:
x = 6
Correct Question :
Solve the following simultaneous equation using algebra
6x+3y=45
2x-2y=6
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In a survey of 2000 U.S adults, 70% said that they would support a national policy requiring rooftop solar panels to be installed on all new homes. The margin of error is plus or minus 2.2%. Give an interval that is likely to contain the exact percent of all U.S adults who would support this policy
The interval that is likely to contain the exact percent of all US adults who would support the policy is 0.7 ± 0.022.
Confidence interval calculationSince the sample size is large (n = 2000) and the proportion of respondents who support the policy is 0.7, we can use the normal distribution to approximate the sampling distribution of the sample proportion.
The margin of error is ±2.2%, which means that we need to construct a 95% confidence interval. The critical value for a 95% confidence interval with a two-tailed test is approximately 1.96.
The formula for a confidence interval for a population proportion is:
sample proportion ± z* (standard error)
sqrt((sample proportion * (1 - sample proportion)) / n)
Substituting the values:
0.7 ± 1.96 * sqrt((0.7 * 0.3) / 2000)0.7 ± 0.022Therefore, the 95% confidence interval for the percentage of all U.S adults who would support a national policy requiring rooftop solar panels to be installed on all new homes is 0.678 - 0.722.
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In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step.
1. Which is greater than 4?
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answer:
A is correctStep-by-step explanation:
The option that is greater than 4 is option (a) 5. This is because 5 is a positive value that is larger than 4. Option (b) -5 is a negative value that is less than 4. Option (c) -1/2 is also negative and less than 4. Option (d) -25 is the most negative option and therefore less than 4. So, the only option that is greater than 4 in this case is 5.
Answer:
a
Step-by-step explanation:
got it right on edge
a line has the equation y=6x+19 what are the coordinates of the y intercept
Answer:
The equation of the line is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
From the given equation, we can see that the y-intercept is 19. This means that the line passes through the point (0, 19).
Therefore, the coordinates of the y-intercept are (0, 19).
The y-intercept of the equation y=6x+19 is the value of y when x equals 0, which is at the point (0,19).
Explanation:The y-intercept refers to the point where the line crosses the y-axis. In the equation of a line in slope-intercept form, y=mx+b, 'b' represents the y-intercept.Therefore, in the equation y=6x+19, the y-intercept is at the point (0, 19). Hence, the coordinates of the y-intercept are (0,19).
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find the measure of each numbered angle:
(Also, can you explain how you got one of the answers just so i know)
Answer:
A. 115
B. 65
C. 115
D. 65
E. 115
F. 665
G. 115
Step-by-step explanation:
a straight line is a 180 degree angle. If one of 2 angles is 65 degrees the other angle will be 115 because 180-65= 115
since both lines on the graph are parallel the angles will be coresponding.
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
brainly.in/question/40960504
bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 1
270° counterclockwise rotation
180° clockwise rotation
90° counterclockwise rotation
90° clockwise rotation
Answer:
90° counterclockwise
Step-by-step explanation:
Find the center of rotation. This is the point that is equidistant from each vertex and its image. You can do this by drawing the perpendicular bisectors of the segments that connect each vertex and its image, and finding their intersection point. In this case, the center of rotation is the origin (0,0).
Choose a vertex and its image to measure the angle of rotation. For example, you can use A and A’. Draw a line segment from the center of rotation to each point, forming an angle.
Use a protractor or estimate the angle of rotation by comparing it to benchmark angles. In this case, the angle of rotation is about 90 degrees.
Determine the direction of rotation by observing which way the figure moved around the center of rotation. In this case, the direction of rotation is counterclockwise (positive).
Find the sun of the polynomial expression shown
The sum of the given two polynomials (x²-7x+14) + (x²+10x-4) is 2x² + 3x + 10
To find the sum of the polynomial expression, we need to add the like terms of the two polynomials.
The first polynomial is x²-7x+14 and the second polynomial is x²+10x-4. We can combine the terms with x² to get 2x².
Then, we can combine the x terms to get 3x.
Finally, we can combine the constant terms to get 10.
Therefore, the sum of the two polynomials is:
2x² + 3x + 10
In summary, we can find the sum of two polynomials by adding the like terms of the polynomials. We group the terms with the same degree of x, add them up and simplify the expression by combining the like terms.
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EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
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Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
