Answer:
1. The estimate of the proportion of mosquitoes in the area that carry the disease is approximately 0.1606 or 16.06%
2. To check for accuracy of the of the value of proportion of disease carrying mosquito in the area
Step-by-step explanation:
The given parameters are;
The number of mosquitoes in the sample = 137
The number of mosquitoes that carry the disease = 22
1. The estimate of the proportion of mosquitoes in the area that carry the disease = (Number of mosquitoes with the disease)/(The number of mosquitoes in the sample)
The estimate of the proportion of mosquitoes in the area that carry the disease = 22/137 ≈ 0.1606 or 16.06%
2. The reason the scientist run the simulations to find additional possible proportions of mosquitoes in the area that carry the disease is to check for variability and accuracy of the proportion of disease carrying mosquito in the area.
1. The proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.
2. To ensure that the proportion of disease-carrying mosquitos in the region is accurate.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
There were 137 mosquitos in the sample,[tex]\rm N_s[/tex]
The number of disease-carrying mosquitos is,[tex]\rm N_m[/tex]=22
The estimated proportion of disease-carrying mosquitos in the region is found as;
[tex]\rm D_m=\frac{N_m}{N_s} \\\\ \rm D_m=\frac{22}{137} \\\\ D_m=16.06 \ %[/tex]
2. The scientists used simulations to determine alternative probable proportions of disease-carrying mosquitos in the region in order to check for variability and accuracy in the proportion of disease-carrying mosquitos in the area.
Hence,the proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.
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please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph.
Answer:
C matches the graph the best
Step-by-step explanation:
I need help. I can't figure this question out.
The perimeter of a rectangle is equal to 280 meters.
The ratio of its length to its width is 5:2. Find the area
of the rectangle.
Answer: the area of the rectangle is 4000 meter square.
Step-by-step explanation:
Miya flips a coin and rolls a 6-sided number cube labled 1-6 and records tge outcome. About how many times is she likely to flip heads and roll a 3 out of 48 trials
Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
3 multiplied by what gives you 0.375
Answer:
0.125
Step-by-step explanation:
3xp=0.375
p=0.125
Solve for c.
2(c +1) = 10
Answer:
c = 4
Step-by-step explanation:
[tex]2(c+1) = 10[/tex]
Lets divide both the sides by 2.
[tex]=> \frac{2 (c+1)}{2} = \frac{10}{2}[/tex]
[tex]=> c + 1 = 5[/tex]
Now , lets substract 1 on both the sides.
[tex]=> c + 1 - 1 = 5 - 1[/tex]
[tex]=> c = 4[/tex]
The solution to the equation 2(c + 1) = 10 is c = 4.
We have,
To solve for c in equation 2(c + 1) = 10, we will apply the distributive property and simplify the equation step by step.
Let's solve it:
Distribute the 2 to the terms inside the parentheses:
2c + 2 = 10
Move the constant term (2) to the right side by subtracting 2 from both sides of the equation:
2c + 2 - 2 = 10 - 2
Simplifying further:
2c = 8
Divide both sides of the equation by 2 to solve for c:
(2c) / 2 = 8 / 2
Simplifying further:
c = 4
Therefore,
The solution to the equation 2(c + 1) = 10 is c = 4.
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find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!
Slope=____ y-intercept=____
I need help with the area and perimeter
Answer:
Area would be 122.
Perimeter would be 45.
Am I correct? Why am I wrong?
According to the information the correct match would be: 3 1/2 - This is a rational number, but not an integer, 0.56 - This is a rational number, but not an integer, 5 - This is an integer, Square root of 11 - This is an irrational number, -3 1/2 - This is a rational number, but not an integer.
How to determine the type of number?To determine the type of number, we need to understand the properties of each number.
3 1/2 can be expressed as the fraction 7/2, which is a rational number (a number that can be expressed as a fraction), but not an integer (a whole number without a fractional or decimal part).
0.56 is a rational number as it can be expressed as the fraction 28/50, but it is not an integer as it has a decimal part.
5 is an integer because it is a whole number without any fractional or decimal part.
The square root of 11 is an irrational number since it cannot be expressed as a fraction or a terminating or repeating decimal.
-3 1/2 can be expressed as the fraction -7/2, which is a rational number (a number that can be expressed as a fraction), but it is not an integer (a whole number without a fractional or decimal part).
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Is it possible for a triangle to have the side lengths 15, 9, 11? Explain
your reasoning
Answer:
ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
11 is more than 6 and less than 24
9 is more than 4 and less than 26
15 is more than 2 and less than 20
Fill in the unknown part 2 kg 1 kg how many grams
Answer:
1kg=1000g
2kg=2×1000g
= 2000
Answers
Of this picture that I just uploaded
Answer:
D
Step-by-step explanation:
please help me i have a c i need help desperately lol
Answer:
positive and find the distance..
Step-by-step explanation:
Answer:
1. Find the distance from the number to 0 on the number line
2. positive
Step-by-step explanation:
Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?
Answer: The number 12 represents admission charge in Mariana's equation.
Step-by-step explanation:
As per given ,
Total cost = ( Charge per ticket) (Number of tickets) + (Admission fees) (i)
For x = Number of tickets, the total cost (c) for a day at the amusement park is given as
[tex]c = 1.50x + 12[/tex] (ii)
Here, 12 = Admission fees [Comparing (i) and (ii)]
Hence, the number 12 represents admission charge in Mariana's equation.
Hello just need help with the last question!
Will mark brainliest :)
what is the prime factorization for 42
Answer:
2x3x7
Step-by-step explanation:
A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function y=3x+2 is Choose... the y-intercept of the function represented in the graph. A graph with a line through point (0, 2) and point (2, 6)
Answer:
less than
Step-by-step explanation:
Answer:
A graph with a line through point (0, 2) and point (2, 6)
Find the slope of the graph
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
A pair of jeans cost $200, but is on sale for 40% off. You still have to be 7%
tax. What is your final cost for the jeans?
$128.40
O
$120
$111.60
280
Answer:
$128.40
Step-by-step explanation:
200 × 0.4 = 80
200 - 80 = 120
120 × 0.07 = 8.4
120 + 8.4 = 128.4
Answer:
$128.40
Step-by-step explanation:
1. Find the cost after the discount.
Multiply the original cost by the discount percentage. This is the amount that was taken off of the original price.
$200 x 40% = $80
Subtract the discount from the original price.
$200 - $80 = $120.
2. Calculate the tax.
Tax is 7% of the final cost. Multiply the final cost by the tax rate. This determines how much tax was added.
$120 x 7% = $8.40
Add the tax amount to the discounted price.
$120 + $8.40 = $128.40
The final cost is $128.40.
Create an algebraic equation for the word problem below.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answer:
p = 5 + 2dStep-by-step explanation:
Let the day number be d and the price after d days be p, then required equation is:
p = 5 + 2dWhich graph represents the inequality? 2x+y>4
m=-2
b=4
Slope=-2x+4
y<-2x+4
What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each arrangement?
9514 1404 393
Answer:
24
Step-by-step explanation:
The number of permutations of 4 items is 4! = 24.
math, maht, mtah, mtha, mhat, mhta,
amth, amht, atmh, athm, ahmt, ahtm,
tmah, tmha, tamh, tahm, thma, tham,
hmat, hmta, hamt, hatm, htma, htam
Mark made 23 out of 45 free throws. What is his average number of free throws made? Express your answer as a decimal using bar notation if necessary.
Answer:
0.51
Step-by-step explanation:
Total free throws taken = 45
Number of successful free throws = 23
Average number of free throws made (x) :
Successful free throws / Numbe rod free throws taken
23 / 45 = 0.511
x = 0.51
PLEASE HELP ITS URGENT
What are the domain and the range of this graph?
The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≤0}.
The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≥0}.
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≤0}.
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.
Answer:
The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.
Step-by-step explanation:
To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?
Answer:
2+3.25x
Step-by-step explanation:
What is the value of x?
Answer:
120
Step-by-step explanation:
gl!!
Select all true statements.
A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
C) Dilation's of a segment must be congruent to the original segment.
D) Dilation's of a circle must be congruent to the original circle.
Answer:
A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
Step-by-step explanation:
Dilation is one of rigid transformations in which the size of an angle or object is either increased or decreased, to produce an image, with respect to a given factor. In this process, the dimensions of the object are affected but its orientation remains the same.
When a figure is dilated, the new figure is congruent to the original figure. Also, when an angle undergoes dilation, its measure is not affected. Thus, it would be congruent to the original angle.
Four times a number plus five times the number is the same as ten more than eight
times the number. Find the number
Answer:
The number is 10.
Step-by-step explanation:
Given that:
Four times a number plus five times the number is the same as ten more than eight times the number.
Let,
x represent the number.
According to given statement,
4 times the number + 5 times the number = 10 + eight times the number
4x+5x=10+8x
Solving the equation,
9x=10+8x
Subtracting 8x from both sides
9x-8x=10+8x-8x
x=10
Hence,
The number is 10.
Please look at the picture I’m timed !!
Answer:
[tex]k = 2.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]
Step 2: Solve for k
Cross-multiply: [tex]7.6k = 2(9.5)[/tex]Multiply: [tex]7.6k = 19[/tex]Isolate k: [tex]k = 2.5[/tex]Answer:
The answer is K+2.5
Step-by-step explanation:
This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Answer:
1 week
Step-by-step explanation:
Given:
p = 12w
Where,
w = number of weeks the office has been on the new recycling plan
p = total kilograms of paper recycled.
How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Find w when p = 12
p = 12w
12 = 12w
Divide both sides by 12
w = 12/12
= 1
w = 1 week