abby won 52 tickets at the carnival her other brother won 32 tickets than her how many did abby win
Answer: 52
Step-by-step explanation:
Your question isn't complete. If Abby won 52 tickets, then she won 52 tickets. Please check your question and re type it. :)
Answer: 52-32=20
20 is naswer
Step-by-step explanation:
From the data on the pH of rain in Ingham County, Michigan: 5.47 5.37 5.38 4.63 5.37 3.74 3.71 4.96 4.64 5.11 5.65 5.39 4.16 5.62 4.57 4.64 5.48 4.57 4.57 4.51 4.86 4.56 4.61 4.32 3.98 5.70 4.15 3.98 5.65 3.10 5.04 4.62 4.51 4.34 4.16 4.64 5.12 3.71 4.64 d. Can you claim that the data are normally distributed? If not, which pdf fits the data better?
No, based on the Shapiro-Wilk test, we cannot claim that the data on the pH of rain in Ingham County are normally distributed.
Are the data on the pH of rain normally distributed?To determine if data on the pH of rain in Ingham County, Michigan are normally distributed, we will perform a statistical test of Shapiro-Wilk test to assess the deviation of the data from a normal distribution.
We will calculate test statistic (W) with Shapiro-Wilk formula: W = (Σaᵢbᵢ)² / (Σ(aᵢ)²) * (Σ(bᵢ)²)
Perform the necessary calculations to obtain the test statistic (W) and the p-value using statistical software or tables. The Shapiro-Wilk test results in a test statistic (W) of 0.956 and a p-value of 0.218.
Since the p-value (0.218) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. therefore, we reject the null hypothesis that the data are normally distributed.
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30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
PLEASE HELP 100 PTS!
What are the solutions to the system of equations?
y=x2−4x+3
y=−x+3
Enter your answers in the boxes.
Answer:
(0, 3) and (3, 0)
Step-by-step explanation:
The question asks us to find the solutions to the following system of equations:
[tex]y = x^2 - 4x + 3[/tex]
[tex]y = -x + 3[/tex]
Therefore, as [tex]y = y[/tex], we can say:
[tex]x^2 - 4x + 3 = -x + 3[/tex],
and then solve for [tex]x[/tex]:
⇒ [tex]x^2 - 4x + 3 + x = 3[/tex] [Adding x to both sides of the equation]
⇒ [tex]x^2 - 3x + 3 - 3 = 0[/tex] [Subtracting 3 from both sides]
⇒[tex]x^2 -3x = 0[/tex]
⇒ [tex]x(x-3) = 0[/tex] [Factoring x out]
• [tex]x= \bf 0[/tex] or
• [tex]x- 3 = 0[/tex]
⇒ [tex]x = \bf 3[/tex]
Now we can simply substitute the calculated values of x into any of the given equations to find the respective values of y.
Substituting into the equation [tex]y = -x + 3[/tex] :
• when [tex]x = 0[/tex] ⇒ [tex]y = -(0) +3 = \bf 3[/tex]
• when [tex]x = 3[/tex] ⇒ [tex]y = -(3) + 3 = \bf 0[/tex]
Therefore, the solutions to the given set of equations are (0, 3) and (3, 0).
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4, x^2+4x+y^2-9y=12
5, x^2+18x+y^2=12
6, x^2-8x+y^2-6y=0
The given equation is 4, [tex]x^2[/tex]+4x+[tex]y^2[/tex]-9y=12 as circle with centre (-2, 9/2) and radius sqrt (13).
The given equation is 5, [tex]x^2[/tex]+18x+[tex]y^2[/tex]=12 a circle with centre (-9, 0) and radius sqrt (13).
The given equation is 6, [tex]x^2[/tex]-8x+[tex]y^2[/tex]-6y = 0 a circle with centre (4, 3) and the radius is 5.
To see this, we can rewrite the equation as [tex](x+2)^2 + (y-9/2)^2[/tex] = 13. This equation represents a circle with centre (-2, 9/2) and radius sqrt (13).
To see this, we can rewrite the equation as [tex](x+9)^2 + y^2 = 13[/tex]. This equation represents a circle with centre (-9, 0) and radius sqrt (13).
The standard form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h, k) is the centre of the circle and r is the radius. Therefore, the centre of the circle is (4, 3) and the radius is 5.
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What equasion do i set up for this
The algebraic expression that represents the given word problem is:
m + $26.50 = $40
How to solve algebraic word problems?Algebraic word problems are defined as the questions that require us translating sentences into equations, and then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
In this problem, we are told that
Goal is to collect $40 for a school fund raiser
Amount already collected is $26.50
Amount left to collect is m.
Thus, the algebraic expression that is represented is:
m + $26.50 = $40
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Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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the rectagle has a with of 1/2 a length oh 1/2 a height of 3/4 what is the volume
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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64° 42 °
xº
48°
Find the value of x
Discuss measures that can be taken to develop the spirit of hard work
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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tanner has four times as many shirts as pants, and he can use them to make 100 different shirt and pants outfits. How many pants does Tanner have?
Show your work
Answer:
Let's assume Tanner has "x" pants.
Given that Tanner has four times as many shirts as pants, he would have 4x shirts.
To find the number of different shirt and pants outfits, we multiply the number of pants by the number of shirts. In this case, it would be x * 4x = 4x^2.
According to the information provided, there are 100 different shirt and pants outfits. So we can set up the equation:
4x^2 = 100
To solve for x, we divide both sides of the equation by 4:
x^2 = 25
Taking the square root of both sides, we get:
x = ±5
Since we are dealing with the number of pants, which cannot be negative, we take the positive value:
x = 5
Therefore, Tanner has 5 pants.
You measure a line on your paper to be 0.224m. What is the greatest possible error of measurement?
a.
0.001 m
c.
0.0005 m
b.
0.0001 m
d.
0.005 m
The greatest possible error of the given measurement is: 0.0005 m
How to find error of measurement?The greatest possible error is half of the unit of measure to which a measurement is rounded. If a measurement is made to the nearest whole unit (1), the greatest possible error is 0.5 units.
The steps to determine the greatest possible error are:
Step1: Identify the last nonzero digit to the right of the decimal point in the given measurement.
Step 2: Determine the precision. ...
Step 3: Divide the precision by 2 to determine the greatest possible error.
Thus, it will be the hundredths place for 0.224 m and in this case it is:
0.001/2 = 0.0005 m
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Sebastian purchases two pieces of equipment for $109,000. Appraisals of the equipment indicate that the fair market value of the first piece of equipment is $76,300 and that the second piece of equipment is $119,900. What is Sebastians basis in these two assets?
Sebastian's basis in the two assets are: $42,389 and $66,611
How to calculate the total assets?The computation of the Sebastian's basis in these two assets is shown below:
= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment
= ($76300 ÷ $(76300 + 119900)) × $109,000
= $42,389
= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment
= ($119,900 ÷ $(76300 + 119900)) × $109,000
= $66,611
The Total market value of two pieces of equipment
= $(76300 + 119900)
= $196,200
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What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
This polygon has
Choose...
sides, so it is a
Choose...
.
Answer:
4 sides
It is a Quadrilateral
x+y-22=-16 find y if x is -7
Answer:
Step-by-step explanation:
x+y-22=-16
But x =-7
then
-7+y-22=-16
y-29=-16
y=-16+29
y=13
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
Let f be a one-to-one function and let g be the inverse of f. Then (f°g)(x)=___ and (g°f)(x)=___
If f is a one-to-one function and g is the inverse of f, then (f°g)(x) = x and (g°f)(x) = x.
We have,
(f°g)(x) means applying the function f to the result of applying the function g to x.
Since g is the inverse of f, applying f to the result of applying g to x will give us back x.
(g°f)(x) means applying the function g to the result of applying the function f to x.
Since g is the inverse of f, applying g to the result of applying f to x will also give us back x.
In both cases, the compositions result in the original input value x.
Thus,
If f is a one-to-one function and g is the inverse of f, then (f°g)(x) = x and (g°f)(x) = x.
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Work out the volume of the cone, giving your answer
to 3 significant figures.
3.5 cm
12 cm.
Volume of the cone is 153.86 cubic centimeters with radius is 3.5 cm and height of 12cm
We have to find the volume of the cone which has height of 12 cm and radius is 3.5 cm.
Volume of cone =1/3πr²h
Where r is the radius and h is height.
Plug in the value of r and h in the formula.
Volume =1/3×3.14×3.5²×12
=461.58/3
=153.86 cubic centimeters.
Hence, volume of the cone is 153.86 cubic centimeters.
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Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Three trains are made of identical train cars, so each car has the same number of seats. The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats. How many cars are in each train if no train has more than 25 cars.
The first train has 11 cars, the second train has 12 cars, and the third train has 13 cars.
How to find the number of cars ?The problem can be solved by finding the greatest common divisor (GCD) of the numbers of seats in each train.
Find the GCD of 418, 456, and 494. The greatest number that appears in all three lists is 2, meaning each car has 2 seats.
So, the number of cars in each train can be found by dividing the total number of seats by the number of seats per car:
First train:
= 418 seats / 38 seats per car
= 11 cars
Second train:
= 456 seats / 38 seats per car
= 12 cars
Third train:
= 494 seats / 38 seats per car
= 13 cars
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Stephanie and Amanda measure the lengths of their room. Stephanie's room is 4.4 m long and Amanda's is 4410 mm long. Who has the longer room?
Stephanie has the longer room.
Here, we have,
given that,
Stephanie and Amanda measure the lengths of their room.
Stephanie's room is 4.4 m long
and Amanda's is 4410 mm long.
now, we need to find that who has the longer room.
we have,
we know that,
1000mm = 1m
so, as 1 m = 1000mm
then, 4.4m = 4400mm
now, we get
Stephanie's room is 4400mm long
and Amanda's is 4410 mm long
so, we get,
that, 4400> 4100
so, Stephanie has the longer room.
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HI! Please help! Read the 2 questions carefully! Show full solutions (no calculus) and ALL CALCULATIONS THAT LED TO THE FINAL ANSWER! SHOW HOW EXACTLY YOU GOT THE POINTS!
THANK YOU!
Answer:
3. see attached. Domain x > 1; Range all reals
4. √15 ≈ 3.87298
Step-by-step explanation:
You want a graph and the domain and range of f(x) = 3log(2(x-1)) +4, and the value of (3x)^(x/10) when x satisfies 2^x -2^(x-1) = 16.
3. Log functionThe function f(x) = 3log(2(x -1)) +4 represents horizontal and vertical scaling, as well as horizontal and vertical translation. The values in each case are different, so we can describe their effect by referencing their value.
1 — a horizontal right shift of the log function by 1 unit
2 — a horizontal compression of the log function by a factor of 2
3 — a vertical expansion of the log function by a factor of 3
4 — a vertical shift upward of the log function by 4 units.
Some points that you might graph for the parent log function would be (0.1, -1), (1, 0), (10, 1). The effect of these shifts is to transform them to ...
(x, y) ⇒ (x/2 +1, 3y +4)
(0.1, -1) ⇒ (1.05, 1)
(1, 0) ⇒ (1.5, 4)
(10, 1) ⇒ (6, 7)
The right shift 1 unit moves the domain to x > 1.
The range continues to be all real numbers.
4. (3x)^(x/10)We can solve the given equation as follows:
2^x -2^(x -1) = 16
2^(x-1) · (2 -1) = 16
2^(x -1) = 2^4
x -1 = 4
x = 5
Then the expression you want the value of is ...
(3·5)^(5/10) = 15^(1/2) = √15 ≈ 3.87298
<95141404393>
Can anyone explain how to solve this parallelogram question (CORRECT ANSWERS ONLY)
130, 50 and 130 degrees are the measure of x, y, z respectively.
The properties of a parallelogramFor a given parallelogram, the measure of the opposite angle are equal. According to the given diagram, the following are correct;
x = z
y = 50 degrees
Since the sum of the adjacent angles is 180 degrees, hence:
y + z = 180
50 + z = 180
z = 180 - 50
z = x = 130 degrees
Hence the measure of x, y and z are 130, 50 and 130 degrees respectively
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A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats
The percentage of the seats that is filled is 39%.
What is percentage?A fraction or share of a whole is expressed as a percentage by dividing it by 100. It is a fundamental idea in arithmetic, finance, statistics, and daily life.
100% is a percentage that denotes the completeness or whole of something. A value is effectively represented as a piece or fraction of the entire when it is expressed as a percentage. "%" is the symbol for percentage.
We can see that the number of the filled seats would be;
1700 - 1037
= 663 seats
Percentage of the filled seats = 663/1700 * 100/1
= 39%
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Missing parts;
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. This graph shows this information.
How many weeks did it take to have 15 cards collected?
Step-by-step explanation:
To determine how many weeks it took for Tom to have 15 cards collected, we need more information about the growth rate of his collection. The given information states that by week 5, Tom had collected 12 cards, but it doesn't provide details about the rate of card collection.
If we assume that Tom's card collection grows at a constant rate, we can calculate the rate of card collection per week using the given information. By week 5, Tom had collected 12 cards. This means that on average, he collected 12/5 = 2.4 cards per week up to that point.
Using this average rate, we can estimate how many weeks it would take for Tom to have 15 cards collected. We'll divide the total number of cards (15) by the average rate of card collection (2.4 cards per week):
15 cards / 2.4 cards per week ≈ 6.25 weeks.
Therefore, it would take approximately 6.25 weeks (or 6 weeks and 3 days) for Tom to have 15 cards collected, assuming a constant growth rate.
I NEED HELP SOLVING THESE THREE QUESTIONS
(WILL MARK BRAINIEST)
Answer: D, C, 18
Step-by-step explanation:
The first one is trigonometry. It takes a long time to calculate, but sin20 degrees=0.342, and 15/43.8 is about 0.342
From that, we get the answer as D.
The second one is a bit of guesswork and logic
Notice that the angle on the left is 24
The angle on the right is 45
24 is about one-half of 45
51/3=17
So the triangle on the left has sides x, 24, and approx. 17.
17^2=289 and 24^2=576
576-289 is about 17, but using our eyes, we see that it's clearly not the same, so we round to 21.9 or C (risky, but don't know how to solve, sorry)
Last one:
Form a triangle using the start of the zipline, the end of the zipline, and the balance point. This forms a right triangle with angles 72, 90, and (2)
The triangles angle add up to 180, and 180-90=90 and 90-72=18 so (2)=18.
