Answer:
x = 10
Step-by-step explanation:
Answer:
6.666666667
Step-by-step explanation:
3x+8=28
Subtract 8 from both sides.
3x=28−8
Subtract 8 from 28 to get 20.
3x=20
Divide both sides by 3.
[tex]x=\frac{20}{3}[/tex]
[tex]x=\frac{20}{3}[/tex] =>[tex]6\frac{2}{3}[/tex] => 6.666666667
Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.
Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.
Answer:
a. 250 fields
b. 220 to 280 fields
c. Fields are not independent
Step-by-step explanation:
a. The average number of fields sampled that are infested with whitefly =
number of fields X Percentage sampled, 10%
= 2500 X 10% = 250 fields
b. Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance
σ = √nab
= √na(1-a) = √2500 X 10% X (1- 10%)
= √225 = 15
Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large
μ - 2σ = 250 - 2(15) = 220
μ + 2σ = 250 + 2(15) = 280
Approximately 220 to 280 fields are expected to be infested going by 95% probability observation
c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.
Please answer for brainliest [answer number 2]
Answer:
4
Step-by-step explanation:
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
The half-life of radon-222 (Rn-222) is 3.823 days.How long would it take for three half-lives?
Answer: [tex]7.949\ \text{days}[/tex]
Step-by-step explanation:
Given
The half-life of a sample is [tex]T_{\frac{1}{2}}=3.823\ \text{days}[/tex]
Decay is given by
[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]
After 3 half-lives, one-eight of the sample is left
Insert the values
[tex]\Rightarrow \dfrac{A_o}{8}=A_oe^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow e^{\dfrac{t}{T_{\frac{1}{2}}}}=8\\\\\text{Taking log both sides}\\\Rightarrow \dfrac{t}{T_{\frac{1}{2}}}=\ln 8\\\\\Rightarrow t=3.823\times \ln 8\\\\\Rightarrow t=7.944\ \text{days}[/tex]
Answer:
What is this… mortal kombat
Step-by-step explanation:
There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students
Answer:
7 students.
Step-by-step explanation:
1/6 of 30 is 5
3/5 of 30 is 18
18+5=23
30-23=7
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
sorry to burst your bubble but thats 5 ponits
Step-by-step explanation:
show correct answers only!! i need asap!!
Answer:
11 1/2 aka D
Step-by-step explanation:
add 7 and 4 which is 11, then add 1/4 and 1/4 which is 1/2
Answer:
D.) 11 1/2
Step-by-step explanation:
If x varies inversely as v, and x = 35 when v = 3, find x when v = 15
Answer:
x = 7
Step-by-step explanation:
Given that,
x varies inversely as v.
When v = 3, x = 35.
We need to find x when v = 15
ATQ,
[tex]x=\dfrac{k}{v}[/tex]
Put v = 3, x = 35,
[tex]k=3\times 35\\\\k=105[/tex]
Now put v = 15 and k = 105
[tex]x=\dfrac{105}{15}\\\\x=7[/tex]
So, the required value of x is equal to 7.
Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
help me fast plzzzzzzzzzzz
this question is incorrect because the decimal quantity functional persistent shouldnt be in a sequential farfictional order so the answer would be that satisfactory angle of theslop devided by pi and then multiplied by the persistent. hope this helped!
How many solutions would the following system of equations have? y=3x+2, and y=3x-4 is it 0, 1 or infinite ?
Angles and are supplementary. Find the measure of angle C
Answer:
Angle C = 106 degrees
Step-by-step explanation:
I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)
Supplementary angles add up to 180 degrees
180 - 74 = 106 degrees
Clara goes miniature golfing. She pays $7.50 for
admission ticket and $6.25 for each round she golfs.
The total amount Clara pays for admission and the
number of rounds she golfs is $26.25. Which equation
can be used to determine the number of rounds, x, that
Clara golfs?
A) 6.25x + 7.50 = 26.50
B 6.25x = 7.50 = 26.25
C) 7.50x + 6.25 = 26.25
D) 7.50x - 6.25 = 26.25
Answer:A
Step-by-step explanation:
She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
Step-by-step explanation:
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
its C and D i think good luck people
<3
stan bought 5lbs of raisins at $3.55/lb . if he wanted to but 4 more pounds of a different kind of raisins to make the average price per pound equals to $3.23 what price should he pay for the additional 4lb?
Answer:
$2.83
Step-by-step explanation:
5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb
$17.75 + 4lb(x) = $29.07
-$17.75. -$17.75
4lb(x) = $11.32
___________
4lb. 4lb
x = $2.83
Match terms to definitions
A. Statistic.
B. Null hypothesis.
C. Slope of the least-squares line
D. Population
E. p-value.
F. Coefficient of Determination r2begin mathsize 12px style r squared end style -
G. z-score
H. Parameter
I. Sampling distribution
J. Sample
1. Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.
2. All objects or individuals of interest.
3. Probability distribution of a sample statistic based on all possible simple random samples of the same size from the same population.
4. Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.
5. Some individuals or objects of interest.
6. A numerical measure that describes an aspect of a sample.
7. Distance from mean in terms of standard deviation units.
8. A claim about a population parameter.
9. A numerical measure that describes an aspect of a population.
10. Marginal change of the response variable.
Answer:
A. Statistic = A numerical measure that describes an aspect of a sample.
B.) Null hypothesis = A claim about a population parameter.
C.) Slope of the least square line = Marginal change in response variable.
D.) Population = All Objects or individual of interest
E.) P - value = Probability, assuming null hypothesis is true, that test statistic will take a value as extreme as observed.
F.) Coefficient of determination = Ratio of explained variation over total variation in y that can be explained by the regression equation using x as the explanatory variable.
G.) Z score = Distance from mean in terms of standard deviation units.
H.) Parameter = A numerical measure that describes an aspect of a population.
I.) Sampling distribution = Probability distribution of a sample statistic
J. Sample = Some individuals or objects of interest
Step-by-step explanation:
Answer is Explanatory
Select the correct answer from each drop-down menu.
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation that could be used to find the width, w, of the rectangle.
Answer:
(2w^2) + (-1w) + (-91)
Step-by-step explanation:
The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.
What is the Area of a Rectangle?Area pf a rectangle = length × width
Given the following:
Area of rectangle = 91 in.²Width = wLength of the rectangle = 2w - 1Equation for finding w, using the area formula, would be:
(2w - 1)(w) = 91
2w² - w - 91 = 0
Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.
Learn more about area of rectangle on:
https://brainly.com/question/25292087
Avery spent 10 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?
Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming
Step-by-step explanation:
What type of angles are 4 and 5
Answer:
Alternate interior angles.
The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines
Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.
Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.
When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.
The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.
To know more about alternate interior angles. here
https://brainly.com/question/20344743
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10. In a survey of 212 people at the local track and field championship, 72% favored the home team
winning
a. Find the margin of error for the survey.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who
favor the home team winning.
Answer:
a. The margin of error for the survey is of 0.0308 = 3.08%.
b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error of the survey is:
[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval can be written as:
[tex]\pi \pm zM[/tex]
In a survey of 212 people at the local track and field championship, 72% favored the home team winning.
This means that [tex]n = 212, \pi = 0.72[/tex]
a. Find the margin of error for the survey.
[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]
The margin of error for the survey is of 0.0308 = 3.08%.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]
Upper bound:
[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]
As percent:
0.6596*100% = 65.96%
0.7804*100% = 78.04%.
The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
IF ITS RIGHT ILL MARK BRAINLIEST
Answer:
Answer is 12
Step-by-step explanation:
angle BCF+angle CFE=180(being co-interior angle)
4x+11x=180
15x=180
x=180/15
x=12
which graph is the graph of f(x) = 2 + 2?
Pleaseee helppp I have no cluee!!!
Answer:
the correct answer is Victoria's answer
8) Tim earns $15.00 per hour at his job. Last week he earned $800. a) Write an equation that can be used to determine the number of hours that he worked last week. b) What is the number of hours he worked? T
Answer:
a= 800/15
b=53 hours round to nearest
Step-by-step explanation:
What is the volume of the rectangular prism?
50 POINTS
Answer:
A
Step-by-step explanation:
plss help!!sorry if i asked alot
Answer:
[tex] \frac{2 }{3} [/tex]
Step-by-step explanation:
Formula is
y=mx+c So,2by 3 is m and x is there and 2 at last is c .
answer is 2 by 3
The parks department plans to cover a rectangular field
in a park with grass and must find the area of the field.
The field is 10 m longer than it is wide. The width of the
field is 25 m. What is the area to be seeded?
ASAP rn
Answer: 875 m²
Step-by-step explanation:
Can you please help me
9514 1404 393
Answer:
x = 95°y = 75°arc ABC = 150°Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsopposite angles of an inscribed quadrilateral are supplementary__
Using the second relation, ...
x = 180° -85° = 95°
y = 180° -105° = 75°
Using the first relation, ...
arc ABC = 2y = 2(75°) = 150°
QUICK PLEASE!
What is the absolute value of -4?
Answer:
4
Step-by-step explanation:
the absolute value is the distance a number is from zero.
Answer:
Step-by-step explanation:
The absolute value of 4 is 4 and –3 is 3. Subtract the smaller number from the larger and you get 4 – 3 = 1. The larger absolute value in the equation was 4 or a positive number so you give the result a positive result. Therefore, the result of 4 + –3 = 1.
hope that helped, have a nice!