Since type I error is to reject the null hypothesis when null is true that's why the Correct option is C.
The researchers believe that more than or less than 65% of college students will graduate with debt, when in fact, 65% will.
The null hypothesis is true if the experimental result matches the predicted theoretical result. The null hypothesis is disproved and we examine an alternative one if there are any variations in the observed parameters between the samples. The null hypothesis was rejected, which opens the door for additional study but does not imply that the first experimentation was flawed. Usually, the null hypothesis is used to gauge the strength of the evidence.
Hence we get the required answer and the correct option is c.
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Help me please. Your the best if you help.
Answer:
[tex]x= \boxed{25}\;\; \sf meters[/tex]
[tex]y= \boxed{15}\;\; \sf meters[/tex]
[tex]z= \boxed{58}\;\; \sf degrees[/tex]
Step-by-step explanation:
Similar Triangles
Corresponding sides are always in the same ratio.Corresponding angles are the same size.If ΔWXY ~ ΔQRS then:
WX : QR = XY : RS = WY : QSTherefore:
[tex]\implies \sf WX : QR = XY : RS = WY : QS[/tex]
[tex]\implies (15+x) : 30 = 20 : y = 32 : 24[/tex]
[tex]\implies \dfrac{15+x}{30}=\dfrac{20}{y}=\dfrac{32}{24}[/tex]
Solving for x:
[tex]\implies \dfrac{15+x}{30}=\dfrac{32}{24}[/tex]
[tex]\implies 15+x=\dfrac{30 \cdot 32}{24}[/tex]
[tex]\implies x=\dfrac{30 \cdot 32}{24}-15[/tex]
[tex]\implies x=25[/tex]
Solving for y:
[tex]\implies \dfrac{20}{y}=\dfrac{32}{24}[/tex]
[tex]\implies 20 \cdot 24=32y[/tex]
[tex]\implies y=\dfrac{20 \cdot 24}{32}[/tex]
[tex]\implies y=15[/tex]
If ΔWXY ~ ΔQRS then:
m∠W = m∠Qm∠X = m∠Rm∠Y = m∠STherefore, solving for z:
[tex]\implies m \angle W = m \angle Q[/tex]
[tex]\implies 40^{\circ} = z-18^{\circ}[/tex]
[tex]\implies z=40^{\circ} +18^{\circ}[/tex]
[tex]\implies z=58^{\circ}[/tex]
In the video, it was remarked that for small values of the equation of motion for the pendulum, 9 sin 0 = 0 is similar to the linear spring equation. If we take two nonzero terms of the L series for sin into account, the model is even more spring-like, but this time to a non-linear spring. From this perspective, which of the following kind of spring is the pendulum most like?
O ideal linear spring
O hard spring O soft spring
Hard spring
What is Spring?
They swing back and forth around a stationary point. Classic examples of this type of vibrating motion are a simple pendulum and a mass on a spring. The use of motion detectors demonstrates that the vibrations of these items have a sinusoidal character, even if this is not obvious from plain viewing.
Let θ be A,
[tex]A''+(g/l)sinA=0\\sinA=A - (A^{3} /3!)+(A^{5} /5!)....\\[/tex]
taking first 2 terms,
[tex]A'' +(g/l)(A-A^{3}/3!)\\[/tex]
intergrating both sides,
[tex]A'+(g/l)(A^{2}/2 -A^{4}/24)=c[/tex]
integrating again,
[tex]A+(g/l)(A^{3} /6-A^{5}/120)=ct+c_{1}[/tex]
power is 5= non linear spring
Additionally, a larger degree indicates that the displacement over time diminishes more quickly.
Hence its a hard spring.
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Annie averages 23 points per basketball game with a standard deviation of 4 points. Suppose Annie's points per basketball game are normally distributed. Let X = the number of points per basketball game. Then X ~ N(23,4) Provide your answer below: The mean is Suppose Annie scores 34 points in the game on Sunday. The z-score when x-34 is This z-score tells you that x=34 is standard deviations to the right of the mean.
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
What is standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given:
Annie averages 23 points per basketball game with a standard deviation of 4 points.
Suppose Annie's points per basketball game are normally distributed.
Let X = the number of points per basketball game.
By Notation,
X ~ N(23,4) means E(X) = 23, SD(X) = 4
Mean = 23 , Standard deviation = 4
So,
[tex]Z_s_c_o_r_e = \frac{Value - Mean}{Sd}\\Z_s_c_o_r_e = \frac{34-23}{4}\\ = \frac{11}{4} Z_s_c_o_r_e = 2.75[/tex]
mean = 23
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean.
Hence, this z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
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4. The monthly cost of Jazmine's cell phone plan is graphed on the grid below. Her friend Kiara selected a
plan that charges $0.25 per text, with no monthly fee, because she only uses her phone for texting.
Cost in Dollars
30
25
20
15
10
5
0 10 20 30 40 50 60 70 80 90 100
An equation to represent the monthly cost of Kiara's plan for any number of text messages she sent is c = 0.25x.
What is an equation?An equation is a mathematical statement proving that two or more mathematical expressions are equivalent or equal.
Equations are represented using the equation symbol (=).
Let the monthly cost of Kiara's plan = c
The unit cost per text = $0.25
The number of text messages sent per month = x
Thus, equation c = 0.25x represents Kiara's monthly cell phone cost.
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Question Completion:Write an equation to represent the monthly cost of Kiara's plan for any number of texts.
(1 point) determine whether the line integral of each vector field (in blue) along the oriented path (in red) is positive, negative, or zero.
Through the graph we will determine if the line integral of each vector field is positive, negative, or zero. The answer to this question is:
-Positive
-Negative
-Zero
-Negative
-Zero
-Zero
What is the Line integral?
A line integral, also known as the route integral, curve integral, or curvilinear integral, is used to find the surface's area in three dimensions. In this integral, the function is evaluated along a curve. There are several applications of line integrals, such as in the field of electromagnetics, to find the force applied on a charged particle moving along a curve in a force field created by a vector field.
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What function has an inverse which is also one-to-one?
If a function is defined as z = f(x), then the inverse of the function f is x = f-1 (x) i.e. f-1 defined from z to x.
In mathematics, function is an expression that explains the relationship between the variable and other variable. In this expression, one variable is independent and the other is dependent. unction and into function.
There are four types of functions. There is one to one function, many to one function, onto function, one to one and onto function.
Inverse function refers to the expression where the original output becomes the opposite.
These are the expressions used in mathematics to solve the problems and equations. In other fields of science, inverse function is also used.
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How much more does Amy need to make each month to cover her costa?
well, let's get Amy's expenses and income to see how much is leftover, hmmm let's recall she's going to be a Resident living off campus, so her total costs will pretty much be the Total Costs of a Resident, now since this is for 9 months, whatever is leftover, we'll have to divide it by 9, Check the picture below.
Some people active cult like status after their death, such as Jimi Hendrix. Brad has a list of thirteen such people and would like to propose some documentaries about four of them. If there are thirteen people to choose from on the list, in how many ways could brad pick groups of four?
The number of ways that Brad can pick groups of four is 715 ways.
How many ways could Brad pick groups of four?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula is given as:
= n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
Based on the information, Brad has a list of thirteen such people and would like to propose some documentaries about four of them. This will be:
n! / ((n – r)! r!)
= 13! / (13 - 4)!4!
= 13! / 9!4!
= 13 × 12 × 11 × 10 / 4 × 3 × 2
= 715
There'll be 715 ways.
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HELP 50 POINTS!!!
At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96. How much would it cost to get 2 orders of fries and 4 drinks? How much would it cost to get f orders of fries and d drinks?
Total cost, 2 orders of fries and 4 drinks:
Total cost, f orders of fries and d drinks:
Answer: Total: $5.52
F=$1.84
D=$3.68
To get the answer first I did 0.92 times 2. It is $1.84. Next, I did 0.92 times 4. It is $3.68 Then I added them together and got the answers!
Which of the following represents a one to one function?
A.Students to thier height
B.Students to their weight
C.Students to their LRN
D.Students to their age
Students to their LRN represent a one-to-one function.
If there is exactly one y in the range for every x in the domain of a function f, then that function is a one-to-one function. The range has no y equivalent to more than one x in the domain.
To put it another way, a function is referred to as a "one-to-one" function if various elements of A have different images in B. That is, there are various outputs for various inputs.
Here, each student has a different LRN or Learner Reference Number. No two students will have the same LRN. Therefore, this function is a one-to-one function. The correct option is C.
Two or more students can have the same height, weight, or age. Therefore, the incorrect options are options A, B, and D.
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Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.
Answer:
Step-by-step explanation:
when graphing x is greater than or equal to 1, where does the shading occur
The marked price of an article is Rs. 8000. After allowing a certain percent of discount with 13% Value Added Tax (VAT) levied, the articles is sold at Rs 7684. Find the difference between discount amount and VAT amount.
Answer:
$1200.00
Step-by-step explanation:
Let x = the discounted priced
x + .13x = 7684 Combine like terms.
1.13x = 7684 Divide both sides by 1.13
[tex]\frac{1.13x}{1.13}[/tex] = [tex]\frac{7684}{1.13}[/tex]
x = 6800
$6800 is the cost of the discounted article before tax.
8000 - 6800 = 1200
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5. as they are quadratic equations.
What are quadratic equations?A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. The answer could be straightforward or difficult.
How do you identify a quadratic equation?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" form.
What is not quadratic equation?Due to the absence of an x2 component, bx 6 = 0 is NOT a quadratic equation. Because there is an x3 term, x3 x2 5 = 0 is NOT a quadratic equation (not allowed in quadratic equations).
The correct answer is option is a) x4 – 6x2 – 27 = 0 , d) 6(2x + 4)2 = (2x + 4) + 2 , e) 6x4 = -x2 + 5.
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What must be true for lines A and B to be parallel lines?; Which lines are parallel justify your answer lines a and b are parallel because their?; Which lines are parallel justify your answer ABEF?; Are parallel lines congruent?
Parallel lines are straight lines that never meet each other no matter how long we extend them
Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.
Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are additional, others are congruent (equal).
The fundamental characteristics listed below make it simple to recognise parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.
No matter how far apart they are from one another, parallel lines can never intersect.
I've answered in general as the question is incomplete
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A total of 50 people play darts.
Each player is given 3 darts to try and
hit the bullseye. If 21 of the darts hit
the bullseye, then what percent of
the darts hit the bullseye?
The percentage of the darts hit the bullseye will be 14%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sum of 50 individuals plays darts. Every player is given 3 darts to attempt to stir things up around town. Assuming 21 of the darts hit the bullseye.
The total number of dart is calculated as,
Total dart = 50 x 3
Total dart = 150
The percentage is given as,
P = (21 / 150) x 100
P = 0.14 x 100
P = 14%
The percentage of the darts hit the bullseye will be 14%.
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The side effects of a new drug are being tested against a placebo. A simple random sample of 565 patients yields (he results below. At a significance level of & = 0.10,(S there enough evidence to conclude that the treatment is independent of the side effect of nausea?
At a significance level of 0.10, there is enough evidence to conclude that the treatment is dependent to the side effect of Nausea
How to solve chi square statistics?The observed values are given as;
Result Drug Placebo Total
Nausea 36 13 49
No Nausea 254 262 516
Total 290 275 565
The expected values are as follows;
EXPECTED
DRUG PLACEBO
NAUSEA (290 * 49/565) = 25.150442 (275*49/565) = 23.849558
NO NAUSEA (290*516/565) = 264.849558 (275*516/565) = 251.150442
Test statistic = ∑((observed - (expected)²)/expected = ∑(O - E²)/E
This gives the test statistic as;
DRUG PLACEBO
NAUSEA 4.680351 4.935643
NO NAUSEA 0.444452 0.468695
∑(O - E²)/E = 10.52914
From a chi square calculator, our critical Value = 2.71
The conditions are;
If (calculated value > crit Value), then we reject Null hypothesis and accept the Alternative hypothesis
If (calculated value < critical value) we accept Null hypothesis and reject Alternative hypothesis
We are given;
Null Hypothesis; The two variables are independent
Alternative Hypothesis; The two variables are dependent
Since (10.52914 > 2.71) we reject Null Hypothesis and Accept Alt Hypothesis
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The horizontal and vertical movement of the graph.
A vertical shift is a movement up or down the y-axis, and it's represented by a change in the value of the y-intercept. A horizontal shift is a movement left or right along the x-axis, and in the equation of a function it's a change in the value of x before it's multiplied by the slope.
Vertical Shifts
One simple kind of transformation involves shifting the entire graph of a function up, down, right, or left. The simplest shift is a vertical shift, moving the graph up or down, because this transformation involves adding a positive or negative constant to the function. In other words, we add the same constant to the output value of the function regardless of the input. For a function
g(x) =f(x)+k, the function f(x) is shifted vertically k units.
Horizontal Shifts
We just saw that the vertical shift is a change to the output, or outside, of the function. We will now look at how changes to input, on the inside of the function, change its graph and meaning. A shift to the input results in a movement of the graph of the function left or right in what is known as a horizontal shift,
Given a function f, a new function g(x)=f(x−h) , where h is a constant, is a horizontal shift of the function f . If h is positive, the graph will shift right. If h is negative, the graph will shift left.
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Consider two events A and B such that P(A) = 1/3 and P(B) = 1/2. Determine
the value of P(B ∩ Ac) for each of the following conditions:
(a) A and B are disjoint;
(b) A ⊂ B;
(c) P(A ∩ B) = 18
The probabilities for each case in this problem are given as follows:
a) A and B disjoint -> P(B and not A) = 1/2.
b) A is contained in B -> P(B and not A) = 1/6.
c) P(A and B) = 1/8 -> P(B and not A) = 3/8.
How to obtain the probabilities?The probability that we want to obtain in this problem is given as follows:
P(B ∩ Ac).
Which is the probability of B and the complement of A, that is:
P(B and not A).
If A and B are disjoint, it means that their intersection is of 0, hence:
P(B and not A) = P(B) = 1/2.
If A is contained in B, all elements of A are contained in B, hence the proportion of elements that are in B but not A is given as follows:
P(B and not A) = 1/2 - 1/3 = 1/6.
If the probability of the intersection is of 1/8, the proportion of elements that are in B but not A is given as follows:
P(B and not A) = 1/2 - 1/8 = 4/8 - 1/8 = 3/8.
(as 1/8 of them belong to both B and A, hence they do not belong to the complement of A).
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Edmund is designing his garden. For every yellow tulip, he plans to plant two whites lilies. Using only these two types of flower, he plans to plant 12 flowers in his garden. How many of each type of flower will Edmund plant in his garden? Edmund will plant _______ tulips and _______ lilies.
Answer:
4 yellow tulips and 8 white lilies.
Step-by-step explanation:
Ratio is 1:2:3 for yellow tulips, white lilies and the total.
Set up a proportion
[tex]\frac{yellow}{total}[/tex] = [tex]\frac{yellow}{total}[/tex] Three of these numbers you know, Solve for the unknown
[tex]\frac{1}{3}[/tex] = [tex]\frac{x}{12}[/tex] Cross multiply and solve for x
3x = 12 Divide both sides by 3
x = 4 This is the number of yellow tulips
Set up another proportion:
[tex]\frac{white lilies}{total}[/tex] = [tex]\frac{white lilies}{todal}[/tex]
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{12}[/tex] I can see that 3 x 4 = 12 so I will multiply the top number to 2 by 4 to get 8.
A plane is flying on a bearing 10 degrees east of south at 460 mph. A tail wind is blowing in the direction 20 degrees west of south at 80 mph. Express the actual velocity of the plane as a vector. Determine the actual speed and direction of the plane.
the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
Actual velocity vector = 380 mph [14.6° east of south]
Actual speed = 380 mph
Actual direction = 14.6° east of south
The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.
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Which values are solutions to the inequality?
5r≤6r−8
Select each correct answer.
Responses
r = 7
r = 8
r = 9
r = 10
Answer:
r=8, r=9, r=10
Step-by-step explanation:
5(7)≤6(7)-8
35≤42-8
35≤34
not true.
5(8)≤6(8)-8
40≤48-8
40≤40
true.
5(9)≤6(9)-8
45≤54-8
45≤46
true.
5(10)≤6(10)-8
50≤60-8
50≤52
true.
have a great day!
Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%. How much money did she invest? The answer is supposed to be $2200 but I don't know how to set up the equation and solve it. Please help.
The amount of the investment at a rate of 7% for 6 months will be $2200.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Harriett Weiss procured $77 in straightforward premium in a half year at a yearly loan fee of 7%.
Then the amount of the investment is given as,
$77 = [P x 7 x (6/12)]/100
$7700 = P x 7 x 1/2
7P = $15400
P = $2200
The amount of the investment at a rate of 7% for 6 months will be $2200.
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which would be the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! where: if n
The base case in a recursive solution to the problem of finding the factorial of a number is n = 0 .
Given :
the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! .
Base case :
The base case is the condition to stop the recursion. The recursive case is the part where the function calls on itself .
we know that ,
def func ( n ) :
if n == 0 :
return 1
Here the base case is clearly n = 0
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bonus question: the output variable of interest from a simulation model will be a variable. group of answer choices random independent discrete realistic
The output variable of interest from a simulation model will be a Discrete variable
Discrete variables can be counted in a finite amount of time. You can count the change in your pocket, for example.
You have access to the funds in your bank account. You could also count the money in each person's bank account. It may take you a while to count that last item, but the point is that it is still countable or number of students present. The quantity of red marbles in a jar.
According to the question,
The output variable of interest from a simulation model will be a discrete variable.
As output variable will take a counted value.
Hence , option (c) discrete is correct
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Bill Roundy bought 800 shares of a mutual fund with an NAV of $14.10. This fund has a load charge of 3%.
a. What is the offer price? (Round your answer to the nearest cent.)
b. What did Bill pay for the investment?
1. The offer price of the 800 shares of a mutual fund with a NAV of $14.10 that Bill Roundy bought is $11,280.
2. For this investment, Bill paid $11,618.40, including the load charge of 3%.
What is a load charge?A load charge is a sales commission that investors pay when they buy (front-end load) or redeem (back-end load) shares in a mutual fund.
What is NAV?NAV means net asset value.
NAV refers to the difference between the investee company's total assets and its total liabilities.
The total number of mutual fund shares bought by Bill = 800
The net asset value of the shares = $14.10
Load charge = 3%
Offer price = $11,280 (800 x $14.10)
Amount Bill paid for the investment = $11,618.40 ($11,280 x 1.03)
Thus, with an offer price of $11,280 for the mutual fund, Bill Roundy paid a total of $11,618.40, including the load charge.
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The length of a rectangle is 2m longer than its width. If the perimeter of the rectangle is 36m , find its area.
Answer:
Below
Step-by-step explanation:
To find the area, you need to multiply L x W....so find those first
2 ( L + W) = 36 m
2 * ( W+2 + W ) = 36 m
4W + 4 = 36 m
W = 8 m then L = 10 m
8 m x 10 m = 80 m^2
The weights of a population of mice fed on a certain diet since birth are assumed to be normally distributed with μ = 100 and σ = 20 (measurement in grams). Suppose that a random sample of n = 4 mice is taken from this population. Find the probability thata exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.b all four mice weigh more than 100 grams.
The binomial distribution can be used to determine the likelihood that exactly two mice weigh between 80 and 100 grams and exactly one mouse weighs more than 100 grams.
a) The likelihood that a single mouse weighs between 80 and 100 grams is the same as the likelihood that it weighs between 80 and 100 grams and less than that. This is determined by the normal distribution's cumulative distribution function (CDF), which has a mean of 100 and a standard deviation of 20, and is assessed at 100 and 80, respectively. One less than the CDF of the normal distribution with a mean of 100 and a standard deviation of 20, evaluated at 100, yields the likelihood that a single mouse weighs more than 100 grams. The binomial probability mass function,
with parameters, n = 4
k = 2,
p = probability
that a single mouse weighs between 80 and 100 grams, then provides the likelihood that precisely two mice weigh between 80 and 100 grams and precisely one weighs more than 100 grams. The binomial probability mass function, with parameters, n = 4,
k = 4
p = probability
that a single mouse weighs more than 100 grams, provides the likelihood that all four mice weigh more than 100 grams.
b) We are unable to compute the probabilities precisely because we do not have the values of the CDF for the normal distribution. However, it is possible to state that the likelihood of all four mice weighing more than 100 grams is less likely than the likelihood that two mice exactly weigh between 80 and 100 grams and one mouse precisely weighs more than 100 grams. This is so because it is less likely that a single mouse will weigh more than 100 grams than it is that it will weigh between 80 and 100 grams.
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the coordinates of the midpoint of a line segment PQ(1, - 2). the coordinates of p are (-3, 2). find the coordinates of Q
The coordinates of the midpoint of a line segment PQ(1, - 2). the coordinates of p are (-3, 2). the coordinates of Q is (4, -4).
In mathematics, how do you find coordinates?You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. Then repeat the process while tracing a horizontal line to determine the y-coordinate.
What kind of example are coordinates?a group of values that exhibit precise positioning On graphs, it is typically represented by a pair of numbers: the first number indicates the length along, while the second number indicates the length up or down. The point (12,5), for instance, is 12 units down and 5 units up.
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Triangles PQR and XYZ are similar triangles. Which are the other two angle measures of triangle XYZ?
The other two angle measures of triangle XYZ are 35° and 75°.
We are given that the triangles PQR and XYZ are similar.
Also, ∠ZXY = 70° and ∠PRQ = 35°.
Now, we know that when two triangles are similar, then the corresponding angles are same.
Therefore, ∠XZY = ∠PRQ = 35°
Now, in triangle XYZ, we have ∠XZY = 35° and ∠ZXY = 70°.
Since, we know that the sum of the angles of a triangle is 180°.
So, ∠XZY + ∠ZXY + ∠ZYX = 180°
i.e. 35° + 70° + ∠ZYX = 180°
i.e. ∠ZYX = 180° - ( 35° + 70° )
i.e. ∠ZYX = 180° - 105°
i.e. ∠ZYX = 75°
Hence, the other two angle measures of triangle XYZ are 35° and 75°.
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The answer is 35 and 75 which is A and C
