Answer:
This is a binomial situation.
Step-by-step explanation:
For each attempt, there are only two possible outcomes. Either you catch a fish, or you do not. This can mean that either we have a binomial distribution, or a geometric.
However, each attempt is independent, which means that in each attempt, the probability of catching a fish is the same, and that this is a binomial situation.
The probability of catching a fish on each cast of my rod is a binomial distribution.
From the question, we can see that there are two possibilities which are whether you catch a fish or not. This gives two possibilities showing that we have a binomial distribution.
However, each attempt is independent, which means that one attempt does not affect the other. This is therefore a binomial situation.
Hence the probability of catching a fish on each cast of my rod is a binomial distribution.
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A recent study found that 2.56% of college graduates were unemployed and 5.35% of high school graduates (with no college degree) were unemployed. The study surveyed 586 college graduates and 467 high school graduates. Construct a 95% confidence interval for the difference of the proportion of unemployed college graduates minus the proportion of unemployed high school graduates.
Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
What is the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given by:
[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]
[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]
[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
In which z is the critical value.
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then, the bounds of the interval are given as follows:
[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]
[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]
The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
More can be learned about the z-distribution at https://brainly.com/question/25890103
What is 30/12 written as a mixed number?
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
enter the value x that makes the equation
Answer:
x=-192
Step-by-step explanation:
simplyfying we get
2/3x-4= 3/4x+12
so subratcing 2/3 on both sides we get
-4= 9x/12- 8x/12+12
subtracting 12 from both sides we get
-16= x/12
x= -192
if my answer helps please mark as brainliest
7n - 5
The polynomial is__
Answer:
polynomial have 7 side...
Pn= 14 ao=6
Please help me
creo que es 231 en total :7-2:al 231
While working a summer job, London earned $182 in 7 hours. Find the
rate of change.
Answer:
31hr
Step-by-step explanation:
which shows the product of 23 and 39
Answer:
897
Step-by-step explanation:
"Product" in math refers to multiplication, so you would just multiply the two to get 897.
Answer:
897
Step-by-step explanation
multilpy
Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.
Answer:
1. 33%
2. 28
3. 62.5
Step-by-step explanation:
V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
[tex]v^2-15=-2v[/tex]
We have to find two solutions of quadratic equation.
[tex]v^2+2v-15=0[/tex]
Using addition property of equality
[tex]v^2+5v-3v-15=0[/tex] (By using factorization method)
[tex]v(v+5)-3(v+5)=0[/tex]
[tex](v+5)(v-3)=0[/tex]
Substitute each factor equal to 0
[tex]v+5=0[/tex] and [tex]v-3=0[/tex]
[tex]v=-5[/tex] and [tex]v=3[/tex]
Hence, two solutions of quadratic equation are
v=-5 and v=3
Arthur has 9 feet of rope in his garage, which is not enough for his next project. So, he went to the hardware store and bought 5 yards of rope. How many feet of rope does Arthur now have all together?
Answer:
9 x 5 = 45
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in the sequence: hypotenuse, unknown leg, known leg.
Answer:
9x 5 =45 x is 1.
Step-by-step explanation:
find out what is all the sides
plz help look at the image for the question
Find the slope of the graphed line below. Help please!
Answer:
3,4
Step-by-step explanation:
up 3 and right 4. your welcome
Help me with this quick!
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
Inequality expressionInequalities are expression not separated by an equality sign, They can be used to solve real world problem as well.
The inequality signs are <, >, ≤ and ≥.
≥can be termed as greater than or equal to (This means at least)
≤can be termed as less than or equal to (This means at most)
Given the inequality expression 6g - 10≥ 35. According to Scotts' response as shown;
"Rudolph has at most $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the maximum number of booklet he can buy?"
This is wrong since $35 was the least amount Rudolph has not the maximum amount. The correct response should therefore be:
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
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please answer asap!!! thank you
Answer:
b trust me its b
Step-by-step explanation:
1. f(x) = x^3– 4x^2 – 7x + 10
9514 1404 393
Answer:
zeros: {-2, 1, 5}
Step-by-step explanation:
A graphing calculator works nicely for identifying turning points, roots, increasing/decreasing intervals, and more.
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
Classify the angle.
What type is it.
how do u write an equation in slope intercept form to describe a graph
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
PLEASE HELP MEWhich equation can represent the graph
A. Y=-x^2-4
B. Y= -x^2+4
C. Y=x^2+4
D.y=x^2-4
Answer:
y = - x^2 + 4
which agrees with answer B
Step-by-step explanation:
Notice the graph is that of a quadratic function centered on the y-axis, with negative leading coefficient (branches of the parabola pointing down), and with vertex on the y-axis at the point (0, 4).
Therefore its equation is best represented by:
y = - x^2 + 4
which also crosses the x axis at the points x = -2 and x= 2, in agreement with the graph.
Answer:
B. y = - x²+4
Step-by-step explanation:
I used a calculator to check.
Find the coordinate of the x intercept
Find the mean, median, and mode of the data.
2,4,3 1,5
1.Write an equation in point slope form given a point (-5,2) and slope 3/5
Question 2
Write an equation in slope intercept form given a slope -5 and y intercept as (0,-4)
Answer:
1. y - 2 = (3/5) (x + 5)
2. y = -5x - 4
Step-by-step explanation:
Slope form - y1 - y = m (x1 - x)
Slope intercept - y = mx + b
What is the value of (0.5)^4 in a fraction
Answer:
12.5%
Step-by-step explanation:
hope it helps!!!
PLS HELP ME!!! FIND X
Answer:
17.5
Step-by-step explanation:
Those angles are supplementary, in other words, they add up to 180°
To solve you set the expressions up to 180:
(5x - 30) + 7x = 180
12x - 30 = 180
12x = 210
x = 17.5
what equality is shown here on the number above?
Answer:
the equality shown is : x is greater than or equal to -3.
What is the circumference and area of this circle? (Use 3.14 for pi)
Answer:
100.531km
Step-by-step explanation:
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Work out
3/8 x 11
Give your answer as a mixed number.
Answer:
4.125 in decimal form and 4 1/8 in simplified fraction form
Step-by-step explanation:
The value of multiplication of an improper fraction 3/8 and a whole number 11 as a mixed number is 4 1/8.
To calculate 3/8 × 11 as a mixed number, we can follow these steps:
Step - 1:
Multiply the whole number by the numerator of the fraction:
11 × 3 = 33
Step - 2:
Divide the result by the denominator of the fraction:
33 ÷ 8 = 4 with a remainder of 1
Step - 3:
The whole number part of the mixed number is the quotient from the division:
The whole number part is 4.
Step - 4:
The fractional part of the mixed number is the remainder divided by the original denominator:
The fractional part is 1/8.
Therefore, the answer to 3/8 × 11 as a mixed number is 4 1/8.
To learn more about the fractions;
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