Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 2 of them are infected. How many elk are likely to be infected?
Answers
There are likely to be 190 elk infected with the parasite in the population of 4,750 elk at the wildlife preserve.
Now, To estimate the number of elk that are likely to be infected, we can use the sample proportion of infected elk to the total population of elk.
Hence, The sample proportion of infected elk is,
⇒ 2/50 = 0.04.
We can use this proportion to estimate the proportion of infected elk in the entire population of ;
4,750: 0.04 = x/4750
Solving for x, we get:
x = 0.04 × 4750
x = 190
Therefore, there are likely to be 190 elk infected with the parasite in the population of 4,750 elk at the wildlife preserve.
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Related Questions
You’re in a math class of 16 students (including yourself). Your teacher has a bag of 16 chocolate bars, and says “This morning, I had exactly one golden ticket. There’s an 80% chance I put it in one of these bars, and a 20% chance I threw it away.”
She then passes the bag around, and everyone takes a bar at random. You keep your bar closed while each of the other students in the class opens theirs and discovers no golden ticket inside.
What are the chances your bar has the golden ticket in it?
Please enter your answer as a percent from 0 to 100 without the % symbol, and round to the nearest integer. E.g. if your answer is 55.37%, please enter it as 55.
Answers
The chances of your bar having the golden ticket are still 80%.
The chances of your bar having the golden ticket in it are still 80%.
Even though the other students have opened their bars and found no golden ticket, the probability of the golden ticket being in the remaining bar has not changed.
The fact that the other students opened their bars and found nothing does not affect the probability of your bar containing the golden ticket.
Therefore, the chances of your bar having the golden ticket are still 80%.
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Change the following rate into a unit rate: $12/6 burgers.
Answers
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
do me a favor pleaseee by helping me solve this
Answers
The solution of the given parabola is (0, -2) and equation is y=a(x+1)²
The equation of parabola in standard form is y=a(x-h)²+k
Where (h, k) are the coordinates of vertex
The value of (h, k) is (-1, 0)
Now plug in the values in equation
y=a(x+1)²+0
y=a(x+1)²
The point (0, -2) is in parabola
Hence, the solution of the given parabola is (0, -2)
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PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answers
Answer: D, these Triangles are not similar.
Step-by-step explanation:
Suppose MCAT scores are distributed normally with a mean of 113 and a variance of 144. Calculate the standard error of the mean for a random sample of 27 participants. Group of answer choices 1.00 21.75 5.33 0.44 2.31
Answers
If MCAT scores are distributed normally with mean (μ) = 113 and variance (σ²) = 144 and a random sample of 27 participants is taken, then the standard error of the mean is 2.31. The correct answer is option 5.
To find the standard error of the mean, follow these steps:
According to the central limit theorem, if the sample size is greater than or equal to 30, then the distribution of sample means is approximately normal, regardless of the shape of the population distribution. When the sample size is less than 30, we can still use the normal distribution as long as the population is also normally distributed. In this case, the population is normally distributed. Using the formula for the standard error of the mean for the sample, we get the standard error of the mean = σ/√n, where σ = population standard deviation= √(variance)= √144= 12, n = sample size= 27.Hence, the standard error of the mean = σ/√n= 12/√27≈ 2.31Hence, option 5) 2.31 is the correct answer.
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help please ill give brainliest
Answers
Theorem:
a^2+b^2=c^2, with C representing hypotenuse.
Substitute numbers:
7^2 + 3^2 = c^2
49+9=c^2
58=c^2
Square root to isolate c. Radical 58 is your answer.
Pens are packed in boxes there are 6 pens in each box the probability that any pen is defective is 0.1 a box of pens is picked at random find the probability that the box contains exactly one defective pen give your awnser correct to 3 significant figures
Answers
Tasnia had a piece of ribbon that was 6 ½ yards long. She used this ribbon to make bows. Each bow was made from a piece of ribbon that was ⅓ yard long. This situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½ . Which statement best describes what the quotient 19 ½ represents?
Answers
Answer: the number of bowss that can be made.
Step-by-step explanation:
You didn't give the options but let me help out.
We are told that Tasnia had a piece of ribbon that was 6 ½ yards long and that she used this ribbon to make bows. We are further told that each bow was made from a piece of ribbon that was ⅓ yard long and that this situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½.
The quotient gotten above simply means the number of bowss that can be made.
in a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. simulation a will consist of 1,500 trials with a sample size of 100. simulation b will consist of 2,000 trials with a sample size of 50.
Answers
The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
What is sampling distribution ?
An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.
It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.
Given,
Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.
Simulation A will consist of 1500 trials with a sample size of 100.
Simulation B will consist of 2000 trials with a sample size of 50.
Center for Simulation A and Simulation B will be roughly equal.
Overall Sample size of Simulation A will be
= 1500 * 100 = 150000
Overall Sample size of Simulation B will be
= 2000 * 50 = 100000
Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.
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The complete question is -
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
choose each digit of a 5 digit number at random from digits 1, . . . , 9. compute the probability that no digit appears more than twice.
Answers
The probability that no digit appears more than twice is 0.648.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here,
We will choose each digit of 5-digit numbers at random from digits 0,1,2,..,9.
We have to compute the probability that no digit appears more than twice.
So, we have to form a five-digit number say "abcde".
Now, for 'a' we have 10 choices.
For 'b' we have again 10 choices because a digit can appear at most two.
For 'c' we have 9 choices because the digit in 'a' can not be chosen as a digit can appear at most two.
For 'd' we have again 9 choices by a similar argument.
Finally, for 'e' we have 8 choices because the digit chosen previously can not be repeated more than twice.
The total number of such 5-digit numbers is = 10*10*9*9*8 = 64800.
Now, a total number of 5-digit numbers = 10*10*10*10*10 = 100000.
Hence, the probability that no digit appears more than twice is given by,
= 64800/ 100000
= 0.648
Hence, the probability that no digit appears more than twice is 0.648.
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HELP HELP HELPP PLEASEDEEEE
what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS
Answers
Answer:
3.04
Step-by-step explanation:
16% is 0.16. Multiply 0.16 * 19 to get 3.04
Answer:
this last answer will come 304
4) Using the table above, what is the probability a patient has heart disease, given that he has normal cholesterol?
Answers
Answer:
the highest amount is heart disease its such high risk to die from it the number would be high.
Step-by-step explanation:
Answer:
397/378=0.971
Step-by-step explanation:
plato/edmentum
What is the explicit formula for the arithmetic sequence?
an = 1.2 + (n - 1)1.5 an = 1.5 + (n − 1)1.2
an = 1.5+ (n - 1)3.9
an = 3.9+(n-1)1.5
Answers
Answer:
an = 1.2 + (n - 1) 1.5
Step-by-step explanation: opt A on edg
what is 15 meters decreased by 60%
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 15}}{\left( \cfrac{60}{100} \right)15}\implies 9~\hspace{7em} \stackrel{15-9}{6}\)
Answer:
-9
Step-by-step explanation:
Solve using quadratic formula.
x2 – 5x – 36 = 0
Please help me ASAP!
1:x={-3,4}
2:x={9,-4}
3:x={-9,4}
4:x={-4,5}
Answers
Answer:
2
Step-by-step explanation:
Just use the quadratic formula
Thomas buys tickets for his family to see a movie.
He pays $37.50 for 2 adult tickets and 1 student ticket.
The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets.
What system of equations can be used to find the price of an adult ticket, a, and the price of a student ticket, s ?
Answers
Answer:
37.5=2A+S, 35.25=1A+3S (You may have to rearrange it depending on directions)
Step-by-step explanation:
Okay, so we lets write that
Adult=A
Student=S
37.5=2A+S
35.25=1A+3S
This is as far as my brain power goes, so hopefully it helps you!
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Solve the following equation for ΔT : q=m×ΔT×C Select one: a. ΔT= qC
m
b. ΔT= mq
C
c. ΔT= q
mC
d. Equation cannot be solved. e. ΔT= mC
q
Answers
The equation q = m × ΔT × C can be solved for ΔT by rearranging the equation. The correct answer is (b) ΔT = mq/C.
To solve the equation q = m × ΔT × C for ΔT, we need to isolate ΔT on one side of the equation. We can do this by dividing both sides of the equation by m × C:
q = m × ΔT × C
Dividing by m × C:
q / (m × C) = ΔT
Rearranging the terms, we get:
ΔT = q / (m × C)
Therefore, the correct answer is (b) ΔT = mq/C. This rearranged equation allows us to calculate ΔT by dividing the heat transfer q by the product of mass (m) and specific heat capacity (C).
It's important to note that when solving equations, we should pay attention to the algebraic manipulations and ensure that the units of the variables are consistent throughout the calculation.
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Find the area of the region bounded by the curve y=6/16+x^2 and lines x=0,x=4, y=0
Answers
The area of the region bounded by the curve y = 6/16 + x² and lines x = 0, x = 4, y = 0 is 9/2 square units.
Given:y = 6/16 + x²
The area of the region bounded by the curve y = 6/16 + x² and lines x = 0, x = 4, y = 0 is:
We need to integrate the curve between the limits x = 0 and x = 4 i.e., we need to find the area under the curve.
Therefore, the required area can be found as follows:
∫₀^₄ y dx = ∫₀^₄ (6/16 + x²) dx∫₀^₄ y dx
= [6/16 x + (x³/3)] between the limits 0 and 4
∫₀^₄ y dx = [(6/16 * 4) + (4³/3)] - [(6/16 * 0) + (0³/3)]∫₀^₄ y dx
= 9/2 square units.
Therefore, the area of the region bounded by the curve y = 6/16 + x² and lines x = 0, x = 4, y = 0 is 9/2 square units.
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A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
Answers
The cost of the shirt, in dollars, after the 30% discount is $17.50.
What is discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.
If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:
30% of $25 = 0.30 x $25 = $7.50
The discount amount is $7.50, so the new price of the shirt after the discount is:
$25 - $7.50 = $17.50
Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.
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f(x) = x2. What is g(x)?
A. g(x) = (9x)^2
B. g(x) = (3x)^2
C. g(x) = 3x^2
D. g(x) = (1/3x)^2
Answers
Answer:
B/since g(x) is passing through the point (1,9) if 1 is the x of the point and y=g(x) then 9=(3×1)^2 9=9 verified
How would I solve the problem:Use the equations to solve the system of equations Y=0X=7
Answers
System of Equations
Solve the system
y = 0
x = 7
The solution of this system can be directly expressed as the ordered pair (7,0), but we can also draw the graph for both equations as follows.
The solution of the system is the black dot where both lines intersect, i.e. the point (7,0)
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
Answers
Answer:
(c) y = 3x - 16 or y - 2 = 3(x - 6)
Step-by-step explanation:
To be perpendicular, the slope must be the negative inverse of the other line,
so we know the slope must be -(-3/1) = 3
then the general point-slope form is
y = mx + b (m = slope and b = y-intercept) so
y = 3x + b (then use the point given (6,2) to find m)
2 = 3(6) + b
2 = 18 + b
2 - 18 = b
-16 = b
then
y = mx + b
y = 3x - 16
Greg's school is 8 miles west of his
house and 6 miles south of his friend
Eliana's house. Every day, Greg
bicycles from his house to his school
After school, he bicycles from his
school to Eliana's house. Before
dinner, he bicycles home on a bike
path that goes straight from Eliana's
house to his own house. How far does
Greg bicycle each day?
Answers
Answer:
Pythagorean theorem
greg ride the bicycle 10 miles each day...
Step-by-step explanation:
\(c {}^{2} = \sqrt{8 {}^{2} + 6 {}^{2} } \\ c {}^{2} = \sqrt{64 + 36} \\ c {}^{2} = \sqrt{100} \\ c = 10\)
Which choice is equivalent to the expression below when x 0?
√328 – 116x + 428 – 12x
O A. 3x12x
O B. 4x/2x
O c. 18x
O D. 32x
Answers
the answer is d hopes this helps you
Find the distance between the two points rounding to the nearest tenth (if necessary). ( − 8 , 6 ) and ( − 6 , 0 )
Answers
Answer:
\(\sqrt{40\\}\), \(2\sqrt{10}\), or 6.3 (rounded).
Step-by-step explanation:
Use the distance formula, \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\x_1 is -8, y_1 is 6, x_2 is -6, y_2 is 0.\)
Write an equation involving absolute value for each graph.
그
1
2
3
4
5
5
6
7
8
9 10 11
O a. 16 - x1 = 5
Ob. 11 – x1 = 1
Oc. 11 - x = 6
O d. x - 61 = 5
Answers
\(\\ \sf\longmapsto |11-x|=1\)
As we can see
\(\\ \sf\longmapsto D_f=\[1,11\]\)
So having 1 and 11 as domain we can say the equation is
\(\\ \sf\longmapsto |11-x|\geqslant 1\)
As it's greater than and equal to the answer can be equal to (=) form.Neeed Helppp plzzz ! True or False ?!!
Answers
Answer:
The answer to this is false.
Step-by-step explanation:
Xy is Xy and Yx is Yx.
So there you go.
Answer:
True
Step-by-step explanation:
Line XY will be the same as Line YX because they are both on the same line on a 1-dimensional figure
40 PTS!!!!! PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE!!!!!! PICTURE DOWN BELOW!!
⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answers
Magnitude is 859.06926
Have a nice day
What is x pls and than you
Answers
Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
Answer:
x=2
you divide 10 by 5=10/5=2
Step-by-step explanation:
Please help I don’t understand what to do
Answers
x⁰ = 360 degree- ( 246⁰ + 66⁰)
= 360 degree- 312⁰
= 48 ⁰
Answer:
x = 114
Step-by-step explanation:
Remark
You are trying to figure out what the arc is in degrees. The arc formula is
Intersect angle = 1/2( the furthest arc - the smaller closer arc).
Givens
Intersect angle = 66 degrees
Closer arc = x
Further or largest Arc = 246
Solution
66 = 1/2 (246 - x) Multiply both sides by 2 and remove the brackets.
132 = 246 - x Subtract 246 from both sides.
132 - 246 = - x
- 114 = - x Multiply both sides by -1
-1 (-114) = -1 * (-x)
x = 114