The original equation provided (74.94 * 1000), we can see that multiplying 74.94 by 1,000 is equivalent to adding three zeros to the end of the number. Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. So, the answer to the equation is simply 74,940.
we need to understand the concept of exponents and how they relate to the number of zeros in a number. An exponent is a way of showing how many times a number should be multiplied by itself. For example, 10 raised to the power of 3 (written as 10^3) means 10 multiplied by itself three times, which is equal to 1,000.
Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. When this number is written without an exponent, we can simply write it as 1 followed by three zeros, which is 1,000. Therefore, the answer to your question is that the number 10 with a 3 exponent has three zeros when it is written without an exponent.
When you multiply 74.94 by 1000, you are essentially moving the decimal point three places to the right because the number 10 with a 3 exponent (10^3) has three zeros when it is written without an exponent.
1. Identify the number to be multiplied (74.94) and the exponent of 10 (3).
2. Convert 10^3 to its standard form, which gives us 1000 (three zeros).
3. Move the decimal point of the number (74.94) three places to the right due to the three zeros in 1000.
So, 74.94 * 1000 = 74940.
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The original equation provided (74.94 * 1000), we can see that multiplying 74.94 by 1,000 is equivalent to adding three zeros to the end of the number. Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. So, the answer to the equation is simply 74,940.
The concept of exponents and how they relate to the number of zeros in a number. An exponent is a way of showing how many times a number should be multiplied by itself. For example, 10 raised to the power of 3 (written as 10^3) means 10 multiplied by itself three times, which is equal to 1,000.
Now let's consider the number 10 with a 3 exponent, which we know is equal to 1,000. When this number is written without an exponent, we can simply write it as 1 followed by three zeros, which is 1,000. Therefore, the answer to your question is that the number 10 with a 3 exponent has three zeros when it is written without an exponent.
When you multiply 74.94 by 1000, you are essentially moving the decimal point three places to the right because the number 10 with a 3 exponent (10^3) has three zeros when it is written without an exponent.
1. Identify the number to be multiplied (74.94) and the exponent of 10 (3).
2. Convert 10^3 to its standard form, which gives us 1000 (three zeros).
3. Move the decimal point of the number (74.94) three places to the right due to the three zeros in 1000.
So, 74.94 * 1000 = 74940.
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manova tests whether mean differences among groups on a combination of dvs is ... if there is at least 20 cases in the smallest cell the test is robust to ...
Manova (Multivariate Analysis of Variance) tests whether mean differences among groups on a combination of dependent variables (DVs) are statistically significant. If there is at least 20 cases in the smallest cell, the test is robust to violations of the assumption of multivariate normality.
In Manova, multiple dependent variables are analyzed simultaneously to determine if there are significant differences among groups. The test examines whether the mean vectors of the groups are equal across the DVs. The assumption of multivariate normality implies that the data should follow a multivariate normal distribution.
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observations consisting of pairs of variable data are required to construct a ________ chart.
Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.
One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.
The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.
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Observations consisting of pairs of variable data are required to construct a scatter chart.
A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.
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a tank contains 100 gal of pure water inirially. a solution containing zib salt /gal enters into the tank at the vate of 3 gal/min. also a drain is open so that qhe volume of the solution is constant. tow much after salt is in the tank after 60 mins?
To determine the amount of salt in the tank after 60 minutes, we need the concentration of salt in the solution entering the tank.
The information provided, which is the salt concentration in terms of "zib salt /gal," is incomplete and does not specify the actual value of zib.
If you can provide the concentration of salt in the solution entering the tank (in terms of a specific numerical value), I can help you calculate the amount of salt in the tank after 60 minutes.
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a tank contains 100 gal of pure water inirially. a solution containing zib salt /gal enters into the tank at the vate of 3 gal/min. also a drain is open so that qhe volume of the solution is constant. tow much after salt is in the tank after 60 mins?
Find the value of "x" to the nearest tenth or tenth of a degree. Show your work.
(a) x =
(b) x =
(c) x =
(d) x =
The missing values of x in the triangle are 66.8, 16.6, 10, 51.8
Using TrigonometryFor A
Cos(x) = Adjacent / hypotenuse
Cos(58) = x/126
x = Cos(58) × 126
x = 66.8
For B :
Sin(x) = opposite/ hypotenuse
sin(x ) = 8/28
sin(x) = 0.2857
x = 16.6°
For C:
Tan(x) = opposite/ adjacent
Tan(x) = 6/34
Tan(x) = 0.176
x = 10°
For D:
sin(x) = opposite/ hypotenus
sin(18) = 16/x
x = 16/sin(18)
x = 51.8
Therefore, the missing values of x are 66.8, 16.6, 10, 51.8
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can you help me pleass
Answer:
A. y = 1/2x + 7/2
Step-by-step explanation:
Slope intercept form: y = mx + b
y + 2 = 1/2 (x + 11) use distributive property.
y + 2 = 1/2x + 5.5
-2 = -2 subtract 2 from both sides
y = 1/2x + 3.5
(3.5 in fraction is 7/2)
y = 1/2x + 7/2
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
some alkenes have geometric cis trans isomers because
Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.
The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.
The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.
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P has coordinates (-9, 7)
Q has coordinates (11, 12)
M is the point on the line segment PQ such that PM: MQ=2:3
Line L is perpendicular to the line segment PQ.
L passes through M.
Find an equation of L.
The calculated equation of the line L is y = -4x + 5
Finding the equation of line L.Given that
P has coordinates (-9, 7)Q has coordinates (11, 12)We have the partition to be
m : n = 2 : 3
The coordinate is then calculated as
M = 1/(m + n) * (mx₂ + nx, my₂ + ny₁)
So, we have
M = 1/5 * (2 * 11 + 3 * -9, 2 * 12 + 3 * 7)
Evaluate
M = (-1, 9)
The slope of line PQ is
Slope = (12 - 7)/(11 + 9)
So, we have
Slope = 1/4
The slopes of perpendicular lines are opposite reciprocals
So, the slope of L is
m = -4
The equation of line L is then calculated s
y - 9 = -4(x + 1)
So, we have
y = -4(x + 1) + 9
Evaluate
y = -4x + 5
Hence, the equation of line L is y = -4x + 5
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Calculate the slope of the line between the pairs of points in each
of the tables to determine which table represents a linear function.
OA)
O C)
X
3
4
5
x 00
X
-8
1
5
y
13
10
2
y
-4
4
-4
O B)
OD)
X
-4
-1
8
X
1
-3
3
y
-2
2
14
y
-15
80
3
3 is the slope of the line between the pairs of points in each of the tables. Third table represents a linear function.
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The word m is frequently used to represent slope; the reason for this is unclear, but it can be found in O'Brien's (1844)[2] and Todhunter's (1888) versions of the equation for a straight line, respectively, where it is written to be "y = mx + b" or "y = mx + c". The percentage of the "vertical difference" with the "horizontal change" among (any) two unique points on a line is used to compute slope. The ratio may occasionally be written as a quotient.
1)slope = y₂-y₁/x₂-x₁
= -24/-8
=3
2)slope = y₂-y₁/x₂-x₁
= 13/3
=3
Third table represents a linear function.
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Your question is incomplete but most probably your full question was,
Can someone please help me on this math problem on my homework. I have been stuck on it for 20 minutes now
Answer:
y = 2 sin (2x)
Step-by-step explanation:
the general form of a sine function is:
y = A sin (Bx + C) + D
where:
- A is the amplitude
- B is related to the period by the formula: period = 2pi/B
- C is the phase shift
- D is the vertical shift
Since you want an amplitude of 2, you can set A = 2. Since you want a period of pi, you can set B = 2pi/pi = 2.
y = 2 sin (2x)
The table and graph below give the age (in weeks) and weight (in ounces) of a purebred chihuahua.
The graph and table show weight changes of two Chihuahua puppies over time; B's weight can be expressed as a function of A's weight plus 3 ounces.
The graph and table show the weight of two Chihuahua puppies, A and B, over a 10-week period. We can use the graph to determine the change in weight of Puppy B from week 2 to week 9.
This change in weight can be expressed in various ways, including as the rate at which Puppy B gained weight per week
(B(9) - B(2) divided by 7),
the amount of weight Puppy B gained in ounces during the seven-week interval ending at
t=9 (B(9) - B(2)),
or simply as the difference in height between the two points on the graph representing weeks 2 and 9.
The equation B(t) = A(t) + 3
It represents the relationship between Puppy B's weight and Puppy A's weight at any given time t. Specifically, Puppy B weighs three more ounces than Puppy A at time t.
This equation can be used to calculate Puppy A's weight at any given time if we know Puppy B's weight, or vice versa.
It can also be used to compare the weights of the two puppies at any given time, as the difference between their weights will always be
3 ounces.
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Can someone solve these two questions for me step by step? (In scientific notation)
The values of the equations are 1) 3 × 10⁴ and 2) 8.132 × 10⁵.
Given that are equations in scientific notation, we need to simplify them,
1) 2.4 × 10⁴ + 5.57 × 10³
So,
= 2.4 × 10 × 10³ + 5.57 × 10³
= 24 × 10³ + 5.57 × 10³
= 10³(24+5.57)
= 10³(29.57)
= 10³ × 29.57 × 10 / 10
= 2.957 × 10⁴
≈ 3 × 10⁴
2) 8.14 × 10⁵ - 7.8 × 10²
= 8.14 × 10³ × 10² - 7.8 × 10²
= 8140 × 10² - 7.8 × 10²
= 10²(8140-7.8)
= 10²(8132.2)
= 8132.2 × 10²
= 8132.2 × 10² × 10³ / 10³
= 8.132 × 10⁵
Hence the values of the equations are 1) 3 × 10⁴ and 2) 8.132 × 10⁵.
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Patricio deposits $800 in a savings account that pays 2.5% simple interest. He does not withdraw any money from the account, and he makes no other deposits. How much money does Patricio have in the savings account after 4 years?
Answer: The formula for simple interest is:
I = Prt
Where:
I is the interest earned
P is the principal (the initial amount deposited)
r is the interest rate (as a decimal)
t is the time period in years
Using this formula, we can calculate the interest earned by Patricio after 4 years:
I = Prt
I = 800 * 0.025 * 4
I = 80
So, after 4 years, Patricio will have earned $80 in interest. Adding this to the initial deposit of $800, the total amount of money he will have in the account is:
Total = P + I
Total = 800 + 80
Total = $880
Therefore, Patricio will have $880 in the savings account after 4 years.
Step-by-step explanation:
URGENT WILL MARK BRAINLIEST!
In words Create a conditional and it’s converse where the conditional is true but the converse is false.
Answer:
Condition:
If a series converges, then the terms of the series approach 0.
Converse:
If the terms of a series approach 0, then the series converges.
PLEASE HELP:)))
1 In a triangle labelled ABC, ∠C = 90°, A= 44°, and AC = 27.3 cm. Calculate the length of BC.
2 In a triangle labelled ABC, ∠C= 90°, AB = 17 mm, and BC= 15 mm. Calculate
∠A.
3 in a non-right-angled triangle labelled PQR, ∠P = 124°, ∠R = 32°, and =
37.5 m. Calculate the length of
4 In a non-right-angled triangle labelled PQR, = 52.9 m, = 10.4 m, and =
47.6 m. Calculate the size of ∠R to the nearest degree.
SHOW ALL WORK PLEASE
In the triangle;
1. /BC/ = 26.4 m
2. <A = 41 degrees
3. The parameters in the question are incomplete
4. The parameters in the question are incomplete.
What is the triangle?The triangle is a three-sided geometric shape that has three angles, three vertices, and three sides. It is one of the basic shapes in geometry and is commonly studied in mathematics, physics, and engineering.
[tex]/BC/ = x\\Thus;\\Tan 44 = x/27.3\\x = 27.3 * Tan 44\\= 26.4 cm[/tex]
2)
[tex]Tan A = 15/17\\A = Tan-1(15/17)[/tex]
A = 41 degrees
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a bucket full of water is in the form of a frustum of a cone. the bottom at the top radius are 18 cm and 28 cm representively and the Vertical depth is 30 cm.if the water is poured into an empty cylinder container with base radius 20 cm.
find the depth of the water in the container
(take π=22÷7)
Answer:
9.8596
Step-by-step explanation:
The depth of the water in the cylinder container is 120.9inches.
Given:
The frustum's vertical depth (h) is 30 cm.
Top frustum radius (r1) = 18 cm
Frustum's bottom radius (r2) is 28 cm.
The following formula determines the volume of a cone's frustum:
[tex]V = \frac{1}{3}* \pi * h * (r1^2 + r2^2 + (r1 * r2))[/tex]
calculating the frustum's volume
V=[tex]\frac{1}{3} *\pi *30(18^2+28^2+18*28)\\[/tex]
V=50642.5[tex]in^3[/tex].
The following formula determines a cylinder's volume:
Volume of cylinder = [tex]\frac{1}{3} \pi r^2h[/tex]
[tex]50642.5 = (1/3) *\pi *20^2*h[/tex]
h=[tex]50642.5*\frac{3}{\pi *20^2}[/tex]
h= 120.9 inches
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dentify whether this angle is acute, obtuse, right, or straight. (1 point)
angle that measures one hundred eighty degrees
a
Acute
b
Obtuse
c
Right
d
Straight
Answer: An angle that measures 180° would be a straight angle.
Step-by-step explanation:
This question is asking to identify an angle that measures 180°. To find if this angle is acute, obtuse, right, or straight is to measure them each.
Acute Angle - Acute angles are angles that measures less than 90° degrees
Obtuse Angle - Obtuse angles are any angles that greater than 90° with the exception of an 180° angle
Right Angle - Right angles are angles that are exactly equal to 90°
Straight Angle - Straight angles are defined angles that are exactly 180 ° degrees.
Since a straight angle is 180° degrees. Therefore, this angle would be defined as a straight angle. Hope this helps!
NEED HELP WITH MATH GEOMETRY
The value of angle m∠FCG is 27.5.
x = 25
x = 35
We have,
1.
GCH and ECD are alternate angles.
This means,
GCH = 125 = ECD
And,
ECG and DCH are alternate angles.
This means,
ECG = DCH = x
Now,
GCH + ECD + ECG + DCH = 360
125 + 125 + x + x = 360
250 +2x = 360
2x = 360 - 250
2x = 110
x = 55
Now,
ECG = ECF + FCG
55 = ECF + FCG
ECF and FCG are equal.
So,
m∠FCG = 55/2 = 27.5
2.
The straight angles are formed by (5x + 20) and (2x - 5).
So,
5x + 10 + 2x - 5 = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
3.
2x + 43 and 2x - 3 are on the same side of the parallel lines.
So,
2x + 43 + 2x - 3 = 180
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 35
Thus,
The value of angle m∠FCG is 27.5.
x = 25
x = 35
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A tabletop in the shape of a trapezoid has an area of 4,732 square centimeters. Its longer base measures 123 centimeters, and the shorter base is 85 centimeters. What is the height? The height of the tabletop is centimeters.
The height of the tabletop is 45.5 centimeters.
How to calculate the area of a trapezoid?In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.
h represent the height of a trapezoid.
By substituting the given side lengths into the formula for the area of a trapezoid, we have the following:
4,732 = ½ × (85 + 123) × h
4,732 = 104h
Height, h = 4732/104
Height, h = 45.5 cm.
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23. Write and factor an expression that
makes the computation for finding the
area of the shaded region.
so hmmm the larger containing circle has a radius of "x", whilst there are four small circles in it with a radius of "y".
Now, if we get the area of the containing circle and get the area of the smaller circles and subtract the area of the smaller circles from that of the containing larger circle, what's leftover is what we didn't subtract, the shaded region.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{containing circle} }{\pi x^2}~~ - ~~\stackrel{ \textit{four small circles} }{4(\pi y^2)}}\implies \stackrel{ \textit{shaded region} }{{\Large \begin{array}{llll} \pi x^2-4\pi y^2 \end{array}}}[/tex]
Help i dont get this one ASAP
The number of ways is 1 billion.
We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.
In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.
Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.
Hence the number of ways is 1 billion.
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I NEED HELP FAST
write 0.442,44.5% and 11/25 in order to the least to greatest
The given numbers in order from least to greatest is 0.44, 0.442 and 0.445.
The given numbers are 0.442, 44.5% and 11/25.
Here, 44.5% = 44.5/100
= 0.445
11/25=0.44
Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
Now, 0.44<0.442<0.445
Therefore, the given numbers in order from least to greatest is 0.44, 0.442 and 0.445.
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Ade and ola share a sum of 4000in the ratio of 3ratio5. Find the amount ade received
A ratio is a comparison of two or more quantities expressed as a fraction. For example, if we say that the ratio of apples to oranges is 2:3, it means that for every two apples, there are three oranges. Ade received an amount of 1500 from the total sum of 4000 .
In order to find out the amount Ade received, we need to first understand the concept of ratio. A ratio is a comparison of two or more quantities expressed as a fraction. For example, if we say that the ratio of apples to oranges is 2:3, it means that for every two apples, there are three oranges.
In this problem, we are given that Ade and Ola share a sum of 4000 in the ratio of 3:5. This means that the total ratio is 3+5 = 8.
To find out the amount Ade received, we need to first find the fraction of the total sum that belongs to Ade. We can do this by dividing Ade's ratio by the total ratio.
Ade's ratio is 3, so the fraction of the total sum that belongs to Ade is 3/8.
Now, we can find the amount Ade received by multiplying this fraction by the total sum:
Amount Ade received = (3/8) x 4000 = 1500.
1.Add the ratio parts: 3 (Ade's part) + 5 (Ola's part) = 8 total parts.
2. Divide the total sum (4000) by the total parts (8): 4000 ÷ 8 = 500. This gives us the value of one part.
3. Multiply Ade's ratio part (3) by the value of one part (500): 3 × 500 = 1500.
So, Ade received an amount of 1500 from the total sum of 4000.
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Please solve (Will give brainliest!)
There are 7 multiples of 3 in the range 100₃ to 1000₃
Calculating the number of multiples of 3 in the rangeFrom the question, we have the following parameters that can be used in our computation:
Multiples of 3 from 100₃ to 1000₃
Convert the numbers to base ten using the product rule
Such that each digit is multipled by the 3 to the exponent of the position of the number
And the sum of each product is taken
So, we have
100₃ = 1 * 3² = 0 * 3¹ + 0 * 3⁰ = 9
1000₃ = 1 * 3³ + 0 * 3² + 0 * 3¹ + 0 * 3⁰ = 27
The multiples of 3 from 9 to 27 are
9, 12, 15, 18, 21, 24 and 27 i.e. 7 numbers
Hence, the number of multiples of 3 in the range are 7
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What is the vertex of the parabola is the vertex a maximum or minimum
suppose that the population of all north american domesticated cats have a mean weight of 12 pounds and standard deviation of 2.5 pounds. the frequency distribution of north american domesticated cat weights is approximately normal. about 95% of the mean weights from samples of size 100 cats from this population fall between what two values (note: assume the sampling distribution of sample means is approximately normal)?
Answer. The correct option is (E). 9.5 and 14.5
Explanation for step 1This is because 95% of the mean weights from samples of size 100 cats from this population will fall between 9.5 and 14.5 pounds. The other answers are incorrect because they do not fall within the range of 95% of the mean weights from samples of size 100 cats from this population
About 95% of the mean weights from samples of size 100 cats from this population would fall between approximately 11.51 pounds and 12.49 pounds.
To determine the range within which 95% of the mean weights from samples of size 100 cats would fall, we can use the concept of the confidence interval.
Given:
Population mean weight (μ) = 12 pounds
Population standard deviation (σ) = 2.5 pounds
Sample size (n) = 100 cats
Since the population distribution is assumed to be approximately normal, the sampling distribution of sample means will also be approximately normal. To calculate the range, we can use the formula for the confidence interval:
Confidence Interval = sample mean ± (z * standard error)
The standard error can be calculated using the formula:
Standard Error = σ / √n
Using a 95% confidence level, the corresponding z-value is approximately 1.96 (obtained from standard normal distribution table).
Plugging in the values:
Standard Error = 2.5 / √100 = 0.25
Confidence Interval = 12 ± (1.96 * 0.25)
Calculating the values:
Lower limit = 12 - (1.96 * 0.25) ≈ 11.51 pounds
Upper limit = 12 + (1.96 * 0.25) ≈ 12.49 pounds
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Help plsssss thank you
According to the information, the most suitable prism for cereals would be #1 because it has more comfortable dimensions for buyers who would need fewer materials.
How to find the area of the prisms?To find the area of the prisms we must find the area of each of their faces as shown below:
option 1
5 * 4 = 20
20 * 2 = 40
6 * 5 = 30
30 * 2 = 60
6*4=24
24 * 2 = 48
60 + 40 + 48 = 148
option 2
3 * 8 = 2424 * 2 = 488 * 5 = 4040 * 2 = 805 * 3 = 1515 * 2 = 3080 + 48 + 30 = 158option 3
2 * 10 = 2020 * 2 = 4010 * 6 = 6060 * 2 = 1206 * 2 = 1212 * 2 = 2440 + 120 + 24 = 184On the other hand, if we want to find the volume of the boxes we must multiply all their sides as shown below:
5*4*6 = 1203*5*8 = 1206*2*10 = 120According to the above, we can infer that the three packages have the same volume. However, the most appropriate for this product would be #1 because it has more comfortable dimensions for buyers because they need fewer materials and its value would be lower.
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John recently scored 113 on a particular standardized achievement test. The scores on the test are distributed with a mean of 100 and a standard deviation of 10. His cousin, Brandon, took a different standardized test and scored 263. The scores on Brandon's test have a mean of 250 and a standard deviation of 25. Which student did relatively better on his particular test? A) John did better on his test. B) Brandon did better on his test. C) They both performed equally as well on their respective tests. D) It is impossible to tell since they did not take the same test. E) It is impossible to tell since the number of students taking the test is unknown.
The correct answer is: A) on his particular test, John did better on his test.
To determine which student performed relatively better on their respective test, we need to compare their scores in relation to the mean and standard deviation of their respective tests.
For John, his score of 113 is above the mean of 100 and deviates by (113 - 100) / 10 = 1.3 standard deviations from the mean.
For Brandon, his score of 263 is above the mean of 250 and deviates by (263 - 250) / 25 = 0.52 standard deviations from the mean.
Since John's deviation from the mean is larger than Brandon's, we can conclude that John performed relatively better on his particular test.
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What is the volume of the cylinder below if it has a height of 19 yards and diameter of 9 yards? (Use 3.14 for pi)
A) 2417.5 yd^3
B) 1539.1 yd^3
C) 1208.1 yd^3
D) 4834.9 yd^3
Whats one more expression that can be used for this?
Using exponents three more expressions whose value is 216 are;
6⁴ ÷ 6 = 216
6² x 2¹ x 3¹ = 216
6 ÷ 6⁻² = 216
What is an exponent?The exponent of a number says how many times to use the number in a multiplication.
Also, exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
If 6³ = 216, using exponents, we can write three more expressions whose value is 216 as shown below;
6³ = 6 x 6 x 6 = 216
6⁴ ÷ 6 = 6³ × 6⁰ = 1296 ÷ 6 = 216
6² x 2¹ x 3¹ = 216
6 ÷ 6⁻² = 6 × 36 = 216
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