The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.
What is standard deviation ?A statistic called the standard deviation describes how much variation or dispersion there is in a set of statistics .In contrast to a high standard deviation, which shows that the values are spread out, a low standard deviation suggests that the values tend to be close to the mean of the collection. out over a wider range.
Here,
In this instance, the standard deviation is 11 and the mean is 175. Assume that x1 is the heaviest weight at which the bags fall into the lower 5% and x2 is the lightest weight at which they fall into the upper 4.5%. 5% of the time, and 4.5% of the time, the likelihood is below x1 and above x2. The raisin bags should fall below x1 and above x2 if they need to be repackaged. The points x1 and x2 are illustrated in the image below.
1 x 0.045 x 0.05 = 0.905 is the probability between x1 and x2. Below is a picture of the normal distribution curve for raisins bag weights.
To calculate x1 and x2, locate x1 first. To the left of x1, there is a 0.05 probability. To find x1, use Excel. 1. Start Excel. Toggle a cell that is empty. Press ENTER after typing =NORM.INV(0.05,175,11).
The answer is 157, rounded to the nearest whole number. Thus, x1≈157. To compute x2, use the formula 0.05+0.905=0.955 for the probability to the left of x2. To determine x2, use Excel. Start Excel. Toggle a cell that is empty. Enter the command =NORM.INV(0.955,175,11).
The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.
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URGENT 25 POINTS!
Create an equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven.
Group of answer choices
1.2 to the twenty-first power over 1.3 to the twenty-eighth power
1.3 to the twenty-eighth power over 1.2 to the twenty-first power
1.2 raised to the fourth power over 1.3 cubed
1.3 cubed over 1.2 raised to the fourth power
Answer:
1.3 to the twenty-eighth power over 1.2 to the twenty-first power
Step-by-step explanation:
The equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.
To find the equivalent expression, we need to use the rule that x^a / x^b = x^(a-b) for any value of x except 0.
In this case, we have 1.2^3 / 1.3^4 raised to the power of -7. Applying the rule, we get:
(1.2^3 / 1.3^4)^-7 = (1.2^(-4) / 1.3^3)^7
Since the exponent of a number raised to a power is the same as the power, we can rewrite the expression as:
1.2^(-47) / 1.3^(37)
Simplifying, we get:
1.2^(-28) / 1.3^(21)
Which is the same as:
1.3^(21) / 1.2^(28)
This is the same as the expression 1.3 cubed over 1.2 raised to the fourth power. Therefore, the equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.
Given the linear equation y = -3x
Identify the:
1) Initial Value
2) Rate of Change
pls help
1) Initial value of the linear equation is 0. and 2) Rate of change is equal to -3.
What is the initial value of a linear equation?The initial value of a linear equation is the value of the y-intercept, which is the point where the equation intersects the y-axis. It is the constant term in the equation and is represented by the letter "b" in the form y=mx+b. Therefore, the initial value of a linear equation is the value of the constant "b".
The initial value of a linear equation is the y-intercept of the line.
The given linear equation is y=-3x
1) Initial value of the linear equation is the y-intercept.
the y-intercept of y=-3x is 0.
Therefore the initial value of the given equation is 0.
2) Rate of change of y=-3x is the derivative of y.
[tex]\frac{dy}{dx}=-3\frac{dx}{dx}[/tex]
⇒[tex]\frac{dy}{dx}=-3[/tex]
Therefore the rate of change is -3.
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use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2
The value of the expression on evaluation is 96π / 5.
Here we have to find the value of the expression.
∫∫∫x² dV
E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.
E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].
∫∫∫ x² dV = ∫[tex]\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0[/tex] r² cos² Фrd dФ
= [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,[/tex]r³ cos²Ф dz dr dФ
= [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,[/tex] 3[tex]r^{4}[/tex]cos²Ф dr dФ
= 3 [tex]\int\limits^2\pi _0 {} \,[/tex] 1/2 [tex]2^{5}[/tex]/ 5 ( 1 + cos² Ф )dr dФ
= 48 / 5 [( Ф + 1/2 sin 2Ф)[tex]]^{2\pi } _{0}[/tex]
= 96π / 5
Therefore the value of the expression is 96π/5.
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Stephanie baked a cake and cut it
into 15 equal pieces. She put icing
on 9 pieces. Tammy baked the same
size cake and cut her cake into 5
equal pieces. How many pieces of
cake should Tammy put icing on so
that it is equivalent to the amount
of icing on Stephanie's cake?
Answer: 3 pieces
Step-by-step explanation:
This problem can be solved by modeling the problem using equivalent fractions.
We know Stephanie put icing on 9 of her 15 pieces, this gives us a fraction of [tex]\frac{9}{15}[/tex].
Tammy cut her cake in 5 pieces, but we do not know how many were iced, the pieces of iced cake will be our variable, x, so her fraction is [tex]\frac{x}{5}[/tex].
Both of the fractions need to be equivalent so [tex]\frac{9}{15} =\frac{x}{5}[/tex], which can be solved for x = 3 pieces.
Questionaire below Image
Question 1
[tex]a=1, r=1/2 \implies S_{\infty}=\frac{1}{1-(1/2)}=\boxed{2}[/tex]
Question 2
[tex]d=10, a_1+5d=52 \implies a_1=2 \\ \\ a_{15}=a_1+14d=2+14(10)=\boxed{142}[/tex]
need help asap Pre calc.
Center, verticies, co-verticies, foci, and eccentricity of the ellipse, and sketch it's graph
In the ellipse, the center is (-3/2,5/2) semi-major axis is 2√3 and the semi-minor axis is 2.
What is ellipse?
In addition to being drawn outside the ellipse, the directrix of the ellipse is parallel to its latus rectum. There are two directions on the ellipse that are parallel to its principal axis. The ratio of distances between any point on an ellipse and its foci, as well as the directrix of the ellipse, is used to define an ellipse's eccentricity, and it is less than 1.
6x^(2)+2y^(2)+18x-10y+2=0
[tex]\frac{\left(x-\left(-\frac{3}{2}\right)\right)^2}{2^2}+\frac{\left(y-\frac{5}{2}\right)^2}{\left(2\sqrt{3}\right)^2}=1[/tex]
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{5}{2}\right),\:a=2,\:b=2\sqrt{3}[/tex]
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{5}{2}\right),\:\:b=2\sqrt{3},\:\:a=2[/tex]
Hence, In the ellipse, the center is (-3/2,5/2) semi-major axis is 2√3 and the semi-minor axis is 2.
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if the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers cannot be in the set? A. 2
B. 3
C. 5
D. 7
E. 11
The prime number that cannot be in the set is A . 2.
Prime number:
In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers
Given,
Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.
Here we know that, all prime numbers except the first prime number are odd except 2.
And here we assume that the two prime numbers are different,
So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.
Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.
There the correct option is A. 2.
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Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes.
John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts.
John's left side neighbor Linda will prepare one meat dish.
John's cross street neighbor Sue will prepare soup.
John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup).
Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
The different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup) is 720.
i) John Smith and his wife Mary Smith} ⇒ 3 different salads
and his daughter Judy Smith } dishes.
ii) John right side neighbor → 2 desserts.
iii) John left side neighbor → 1 meat dish.
iv) John cross street neighbor → 1 soup.
Total dishes = 3+2+1+1
= 6
# First time John has 6 choices to taste a dish ,
then 5 choices, then 4 choices , then 3 choices then 2 choices and finally one dish will left.
therefore, total different ways for him to taste :
= 6×5×4×3×2×1
= 720 ways.
Hence we get the required answer.
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Find the equation of parabola
(i) having focus at (0,-3) its directrix is y = 3.
(ii) having end points of latus rectum (5,10) and (5,10) and which opens towards right.
(iii) having vertex at origin and focus at (0,2)
Answer:
somone in my class is literally a new York rat
Step-by-step explanation:
On December 31, a corporation determines that they have income taxes expense of $20,000, with $15,000 currently due and the remainder is deferred to future years.
Complete the necessary journal entry by selecting the account names from the pull-down menus and entering dollar amounts in the debit and credit columns.
If On December 31, a corporation determines that they have income taxes expense of $20,000, with $15,000 currently due. the journal entry is Debit Income taxes expense $20,000, Credit income taxes payable $15,000 Credit Deferred income tax liability $5,000.
How to prepare the journal entry?Based on the given information the appropriate journal entry to record the transaction is"
Journal entry
Debit Income taxes expense $20,000
Credit income taxes payable $15,000
Credit Deferred income tax liability $5,000
($20,000 -$5,000)
(To record income taxes)
Therefore the entry is Debit Income taxes expense ,Credit income taxes payable and Credit Deferred income tax liability.
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g design a turing machine with input alphabet {a, b} that accepts a string if and only if the string has the property described. (a) the input string has an even number of b's. keyboard arrow down solution (b) the input string has the same number of a's and b's.
a) The Turing machine that accepts a string containing even number of b's is (see in attachments).
b) The Turing machine that accepts a string containing equal number of a’s and b’s is (see in attachments).
Turing machine:
The Turing machine is an abstract machine that manipulates symbols on a strip of tape in accordance with a set of rules. It is a mathematical model of computation. The paradigm is straightforward, but it can implement any computer algorithm. The machine runs on a never-ending tape of memory that is divided into distinct cells, each of which can store a single symbol selected from a limited range of symbols known as the machine's alphabet. It has a "head" that is always placed over one of these cells during operation, and it has a "state" chosen from a limited number of states. Turing machines demonstrated that mechanical computation's power has some fundamental limitations.
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let x be a random variable with c.dj. f(x). find the c.d.f. of ax b first for a > 0, then for a < o.
The cumulative distribution function, for
a > 0 is F((x - b)/a) and for a < 0 is 1 - F((x - b)/a).
What is cumulative distribution function?
The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x in probability theory and statistics.
We have to find the c.d.f of ax + b for a > 0 and a < 0.
F(x) = P(X < x)
a>0:
P(aX + b < x) = P(aX < (x - b)) = P(X < (x - b)/a) = F((x - b)/a)
a < 0 :
P(aX + b < x) = P(aX < (x - b)) = P(X > (x - b)/a) = 1 - P(X < (x - b)/a) =
1 - F((x - b)/a).
Hence, the cumulative distribution function, for
a > 0 is F((x - b)/a) and for a < 0 is 1 - F((x - b)/a).
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A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 350 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 5 tons of regular-grade and 17 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $7000 per hour, and the operating cost of the second mine is $29,000 per hour. The first mine can be operated no more than 54 hours a week, and the second mine can be operated no more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
The number of hours to operate the mines to minimize cost are Mine 1 hour = 30 hours and Mine 2 hour = 10 hours
How to determine the number of hours?The given parameters can be represented using the following table of values
Mine 1 (x) Mine 2 (y) Available
Regular grade 5 20 350
Low grade 17 10 610
Operating cost 7000 29000
Time 54 27
From the table, we understand that we are to minimize cost
This means that:
Objective function: C = 7000x + 29000y
Subject to:
5x + 20y ≥ 350
17x + 10y ≥ 610
Next, we plot the constraints on a graph (see attachment)
From the graph, we have
(x, y) = (30, 10)
This means that
Mine 1 hour = 30 hours
Mine 2 hour = 10 hours
Hence, the number of hours are 30 and 10 hours
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Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
How can I define a variable?A variable is a quantity that could alter when used in a mathematical problem or experiment. Normally, a variable is denoted by a single letter. Common generic symbols used for variables include the letters x, y, and z.
What is an example of a variable?Any traits, figure, or amount that can be gauged or counted is referred to as a variable. An alternative name for a variable is a data item. Age, business earnings and expenses, country of birth, capital expenditures, class grades, eye color, and car kind are a few examples of variables.
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Erica wants to get in better shape so she decides to go to a gym that advertises 4 training sessions for $330. How much will it cost Erica for 24 training sessions.
Answer: 1980
Step-by-step explanation:
1. If 4 sessions is 330 dollars, and how much is 24 sessions you have to multiply 4 times 6 and the answer is 24.
2. If 4 times 6 is 24 you have to multiply 330 by 6
3. We break down 330 dollars, so 300 times 6 is 1800, i like to take away the zeros so 3 times 6 is 18 and we add 2 zeros becuase 300 has 2 zeros. And we do the same think with 30, but this time add 1 zero because 30 has 1 one zero.
4. the answer is 1800 dollars, you're welcome!
need help fast will mark brainlist
The rate of change of y with respect to x for a given line is 4/5.
What is the rate of change?
The rate of change is measured by a line's slope. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.
The rate of change of y with respect to x for a given linear function is simply the slope expressed as:
dy/dx = (y2 - y1)/(x2 - x1)
Let us take the first 2 coordinates from the graph which are:
(0, 3) and (5, 7)
Thus;
dy/dx = (7 - 3)/(5 - 0)
dy/dx = 4/5
Hence, the rate of change of y with respect to x for a given line is 4/5.
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vwe are standing on the top of a 368 feet tall building and launch a small object upward. the object's vertical position, measured in feet, after t seconds is h ( t )
For the given quadratic function, the highest point that the object reaches is (5, 768).
Since we are given with the quadratic function of h(t)=−16t2+160t+368, where Let a = -16, b = 160, and c = 368, so the vertex for the equation will be :t = -b/2a = -(160)/2(-16) = -160/(-32) = 5, so substituting this value in the equation for the value of t is
h(5) = -16(5)2 + 160(5) + 368 = -400 + 800 + 368 = 768
Here the highest point that the object reaches is (5, 768), which means that at a time of 5 seconds, the object reaches the building after being launched at the height of 768 feet
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We are standing on the top of a 368 feet tall building and launching a small object upward. The object's vertical position, measured in feet, after t seconds is
We are standing on the top of a 1200 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is What is the highest point that the object reaches?
use the exponential regression equation that best fits the data ( 10 , 4 ) , ( 12 , 20 ) , ( 13 , 35 ) , and ( 16 , 300 ) to estimate the value of y when x
Although part of your question is missing, you might be referring to this full question: Use the exponential regression equation that best fits the data (10, 4), (12, 20), (13, 35), and (16, 300) to estimate y when x = 15.
The estimated y value at x = 15 is 147.
The exponential regression equation in general has form y = a*b^x.
And from the attached graph, it is shown that:
a ≈ 0.0038
b ≈ 2.0223
So, using the exponential regression calculator, the exponential model created by the data is:
y = a*b^x
y = 0.0038*(2.0223)^x
And when x = 15, thus:
y = 0.0038*(2.0223)^15
y ≈ 147
Hence, the estimated y value at x = 15 is 147.
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a deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
40 pounds of salami are purchased by a deli for its renowned grinder sandwiches. An illustration of an intermediate good is salami.
Given fill-in-the-blank;
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
The answer for this case is Intermediate.
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of Intermediate goods.
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it takes a boat 3 hours to travel 48 miles downstream and 4 hours to travel 40 miles upstream. What is the speed of the boat in still water?
The speed of the boat in still water is 3 miles per hour
Given that,
A boat travels 40 miles upstream in 4 hours and 48 miles downstream in 3 hours.
To find : The speed of the boat in still water
We use the distance formula. D = r * t
48/3 = 16 mph | Trip 1 |
40/4= 10mph | Trip 2 |
16-10 = 6 mph difference traveling upstream or downstream. Thus the speed of the current is 3 miles per hour.
Therefore, The speed of the boat in still water is 3 miles per hour.
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if you borrow 500 for 6 years at an annual interest rate of 7%, how much will you pay altogther
The total amount that will ba paid altogether is $710.
How to calculate the amount?From the information, the person borrow 500 for 6 years at an annual interest rate of 7%.
It should be noted that interest is calculated as:
= Principal × Rate × Time
= 500 × 7% × 6
= $210
The total amount will be:
= Principal + Interest
= $500 + $210
= $710
The total amount is $710
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In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them
play baseball. There are 8 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball.
There are 8 students who play neither sport.
Either (or both) sports = (23 - 8) = 15 students play
Both = [11 basketball and 13 baseball) - 15] = 9 must play both
Probability=9/23
Probability=0.39 or 39%
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
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TIME REMAINING
21:54
The ratios of punch mix to water for several fruit drinks are given.
Punch Mix
Mix
Water
Grape
1 cup
3 cups
Cherry
5 cups
12 cups
Lemon
7 cups
12 cups
Orange
2 cups
3 cups
Which flavor has the smallest ratio of mix to water?
grape
cherry
lemon
orange
Grape flavor has the smallest ratio of mix to water.
What is ratio proportion?
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.
Here, we have
The ratios of punch mix to water for several fruit drinks as Grape mix (1 Grape flavor has the smallest ratio of mix to water.
cup to 3 cups), Cherry mix (5 cups to 12 cups), Lemon mix (7 cups to 12 cups), and Orange mix (2 cups to 3 cups).
We have to find which flavor has the smallest ratio of mix to water.
So, we compare all the given proportions by having a common base.
Proportions of grape, cherry, lemon, and orange mixed in water = 1/3, 5/12, 7/12, 2/3
Now let us have a common denominator 12 as LCM of 3 and 12 is 12.
Proportions of grape, cherry, lemon, and orange mixed with water = 1×4/3×4, 5/12, 7/12, 2×4/3×4
Proportions of grape, cherry, lemon, and orange mixed with water = 4/12, 5/12, 7/12, 8/12
Hence, the Grape flavor has the smallest ratio of mix to water.
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Which equation can be used to find V the volume of the cylinder in cubic inches?; What is the dimensional formula of cylinder?; Which equation can be used to find V the volume of the silo in cubic meters?; Which equation can be used to find the surface area of the cylinder?
The equation of the volume of the cylinder is V = A× h where a is base area and h is height.
Given that,
We have to find the equation of the volume of the cylinder.
We know that,
Given that a cylinder and a prism have similar shapes, but a cylinder differs from a prism in that it has a curved side face, we can determine a cylinder's volume using the same formula. We are aware that the formula, which is used to determine a prism's area,
Where V = A× h
A = the base's area
height is h.
Using the formula above, the volume (V) of a right circular cylinder is,
V = πr²h
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What is the difference between a function and a power?
A function is a relationship between inputs and outputs, while a power is a mathematical operation that represents repeated multiplication.
In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are often represented by equations, which specify the relationship between the inputs and outputs.
A power, on the other hand, is a mathematical operation that represents repeated multiplication of a number by itself. The number that is being multiplied is called the base, and the number of times it is multiplied is called the exponent. For example, in the power 3⁴, the base is 3 and the exponent is 4, which represents 3 multiplied by itself 4 times, or 333*3.
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Fetzer Company declared a $0.55 per share cash dividend. The company has 480,000 shares authorized, 456,000 shares issued, and 19,200 shares in treasury stock. The journal entry to record the payment of the dividend is:
Debit Common Dividends Payable $ 234,850 ; credit Cash $ 234,850.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addi - tion, subtraction, multiplication, division, exponents, and root extraction. The Peano axioms, developed by the Italian mathematician Giuseppe Peano in the 19th century and still vital to the modern study of mathematical logic, formalised arithmetic. There are only a few ancient artefacts that can be used to date the invention of addition and subtraction. The best-known of these is the disputedly interpreted Ishango bone from africa, which dates to between 20,000 and 18,000 BC.
Main Body:
Debit Common Dividends Payable $100,100; credit Cash $100,100.
= $0.55 * (456,000 shares - 19,000 shares)
= $0.55 *427,000 shares
= $ 234,850
Hence ,debit Common Dividends Payable $ 234,850 ; credit Cash
$ 234,850.
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What is the complete factorization of the polynomial below?
x³ + 3x2 +9x+27
OA. (x+3)(x+3)(x+3/)
B. (x+3)(x+3)(x-3/)
O C. (x-3)(x+3)(x+3/)
O D. (x-3)(x+3)(x-3i)
Answer:
(x - 3 i) (x + 3 i) (x + 3)
Step-by-step explanation:
Answer please! Will give 5 star. Need explanation
The greatest common factor for the fraction is 26.
What is fraction?
A fraction represents a district of an entire or, additional typically, any range of equal components. once spoken in everyday English, a fraction describes what number components of an exact size there area unit.
Main body:
According to the question,
fraction = 52/78
to find its common factor , we need to write it in form of multiples of its factors,
52 = 2*2*13
78 = 2*3*13
from this it is clear that both 52, 78 has factor as 2*13
Hence the greatest common factor for the fraction is 26
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types of angles-math maze
i need help with this maze
The types of angles include the supplementary, complementary, adjacent and vertical angles.
What is an angles?An angle is defined as the common point that is being formed when two straight lines meet at a common endpoint.
There are various types of angles that include the following:
Supplementary angle: These are the angles that make up to 180° when added together.Complementary angle: These are the angles that make up to 90° when added together.Adjacent angles: These are the angles that share the common vertex and side.Vertical angles: These are the angles opposite each other when two lines cross.Learn more about angles here:
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How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Suppose the alternative you wanted to test was . State the correct rejection region for = 0.05. (hint it is lower tail test)
At tα/2= -1.66, we reject H0.
What is the Null hypothesis?
The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Data provided
sample size is 100, and
sample mean, 52.0 for x
The standard deviation of the sample, s= 22.0
Average population, = 60.0
Level of significance, = 0.05
Theorem testing
The alternate and the null hypothesis is
H0: u = 60
Ha: u < 60
Crucial component:
value crucial at 0.05
tα/2= -1.66
Region of rejection:
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