Answer:
You will have 21 positive results.
Step-by-step explanation:
Sensitivity of test:
Is the true positive rate, that is, the proportion of positive results that give positive tests.
Specificity of test:
True negative rate, that is, the proportion of negative results that give negative tests.
90% sensitive, 20 reliable people apply
0.9*20 = 18
95% specific, 60 unreliable people apply
1 - 0.95 = 0.05 of positive results.
0.05*60 = 3
How many positive results will you have?
18 + 3 = 21
You will have 21 positive results.
Each of the following people bought a watch that costs 300. Which of the following people will pay the most for their purchase
The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month
Which individual will pay the most?The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.
Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.
Complete Question:
Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month
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please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder
what’s the slope?
a line has the given equation 8x-6y=24
Answer:
-1.333333
Step-by-step explanation:
:)
have a very nice day
-75 - 82 plus 83 plus 54
Answer:
Hey!
Your answer is -20!
Step-by-step explanation:
(-75) - 82 gives us = -157
(-157) + 83 gives us = -74
(-74) + 54 gives us = -20
I HOPE THIS HELPED!
Answer:
The person above me is correct
Step-by-step explanation:
Explain how to find 20% of 160
Answer: 20% of 160 is 32.
Step-by-step explanation:
The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.
To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.
Let us now find the 20% of 160.
20% = 0.2
percentage = 160 × 0.2
= 32
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
The following sample was obtained from a population with unknown parameters.
Scores: 13, 7, 6, 12, 0, 4
a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.)
b. Compute the estimated standard error for M. (Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)
Answer:
i think is 7
Step-by-step explanation:
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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How would the area of a triangle be affected if the base and height are dilated by 1/2
Answer:
The area would reduce to 1/4 the original area
Step-by-step explanation:
The area of a triangle = (1/2)(base)(height) or bh/2
If the triangle base and height were to reduce by one-half, the formula would change to:
Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4
what is the perimeter for a 141 by 234
Step-by-step explanation:
the width is 23.5ft and the length is 47ft
y = 2/3x + 20 when x = 21
Answer:
34
Step-by-step explanation:
Answer:34
Step-by-step explanation:
2/3x21=14
14+20=34
A product of 9 and number plus one is 19. Write an equation?
Answer:
9x + 1 = 19. hope this helps
Step-by-step explanation:
- Zombie
Answer:
9x+1
Step-by-step explanation:
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
(9n)
(8n+8)
Solve for the value of n
Answer:
87
Step-by-step explanation:
what is 2 10/13 rounded to the nearest half
calculating area and circumference or perimeter of a 2d shape. use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle.
The area and perimeter of 2D shape of Rectangle is 6.8448cm and 11.04cm repectively. The area and perimeter of 2D shape of circle is 5.0761cm and 8.0028cm respectively.
2D shape of Rectangle with dimensions of Length is3.72 cm and Width is 1.84 cm. we can find the area of rectangle with formula Area = length x width and the formula of perimeter is Perimeter = 2(length + width).
Area = length x width = 3.72 cm x 1.84 cm = 6.8448 square cm (rounded to four decimal places)
Perimeter = 2(length + width) = 2(3.72 cm + 1.84 cm) = 11.04 cm
2D shape of Circle with dimension of diameter of 2.54 cm. we can find the area with formula Area = πr^2 and circumference with formula Circumference = 2πr
Radius = diameter / 2 = 2.54 cm / 2 = 1.27 cm
Area = πr^2 = π(1.27 cm)^2 = 5.0761 square cm (rounded to four decimal places)
Circumference = 2πr = 2π(1.27 cm) = 8.0028 cm (rounded to four decimal places)
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____The given question is incomplete, the complete question is given below:
Calculating area and circumference or perimeter of a 2D shape. Use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle. Rectangle Length: 3.72 cm Width: 1.84 cm Circle : 2.54 cm Diameter of circle
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
The manufacturer wants to estimate the proportion of their cars that get over 100 mpg. Their sample of 30 indicates that 28% can obtain over 100 mpg. Construct a 95% confidence interval for the population proportion.
Answer:
The 95% confidence interval is \(0.1193 < p <0.4407\)
Step-by-step explanation:
From the question we are told that
The sample size is \(m = 30\)
The sample proportion is \(\r p = 0.28\)
Given that the confidence interval is 95% then the level of significance is mathematically represented as
\(\alpha = 100 - 95\)
\(\alpha = 5\%\)
\(\alpha = 0.05\)
Next we obtain the critical value of the \(\frac{\alpha }{2}\) from the normal distribution table, the value is
\(Z_{\frac{ \alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{ \alpha }{2} } * \sqrt{\frac{ ( \r p (1 - \r p ))}{n} }\)
=> \(E = 1.96 * \sqrt{\frac{ (0.28 (1 - 0.28 ))}{ 30} }\)
=> \(E = 0.1607\)
The 95% confidence interval is
\(\r p - E < p < \r p + E\)
=> \(0.28 - 0.1607 < p < 0.28 + 0.1607\)
=> \(0.1193 < p <0.4407\)
Willy and Billy each have a rock collection.
• The number of rocks in Willy’s collection can be represented by x.
• The number of rocks in Billy’s collection is 223 times the number in Willy’s collection.
• The total number of rocks in both collections is 110.
What is x, the number of rocks in Willy’s collection?
The number of rocks in Willy’s collection is 30
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split
In this case, the number of rocks in Willy’s collection can be represented by x and the number of rocks in Billy’s collection is 2 2/3 times the number in Willy’s collection.
The appropriate equation to illustrate this will be:
x + 2 2/3x = 110
3 2/3x = 110
x = 110 ÷ 11/3
x = 110 × 3/11
x = 30
There'll be 30 rocks
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Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
what is 78,902,010 as a standard form
Answer:
70,000,000
8,000,000
900,000
2,000
10
Step-by-step explanation:
anyone can solve this?
\( \sqrt[4] {a}^{3 \:} to \: power\)
The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
\(\sqrt[4]{a}^3\)
Consider an expression expressed as xⁿ
The expression can be expanded as
xⁿ = x * x * x .... in n places
Using the above as a guide, we have the following:
\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)
Apply the exponent rule of indices
\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)
Apply the power rule of indices
\(\sqrt[4]{a}^3 = a^\frac34\)
Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
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Bea has dimes and quarters in the ratio of 1:4. If 22 of her coins are dimes, how many quarters does she have?
Let the number of dimes that Bea has be represented by x, and the number of quarters be represented by y. Since the ratio of dimes to quarters is 1:4, we can write:
x:y = 1:4
This can also be written as:
x = (1/5)y
We know that Bea has a total of 22 coins, so we can write:
x + y = 22
Substituting the first equation into the second equation, we get:
(1/5)y + y = 22
Multiplying both sides by 5 to eliminate the fraction, we get:
y + 5y = 110
Simplifying the equation, we get:
6y = 110
Dividing both sides by 6, we get:
y = 18.33
Since the number of quarters must be a whole number, we round up to the nearest integer:
y = 19
Substituting this value back into the first equation, we get:
x = (1/5)(19) = 3.8
Again, since the number of dimes must be a whole number, we round up to the nearest integer:
x = 4
Therefore, Bea has 4 dimes and 19 quarters.
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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Determine the dimensions of the box that will minimize the surface area, where x is the length of each side of the base and y is the height of the box g
Answer:
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Step-by-step explanation:
The volume of the box can be calculated with this formula:
The volume of the box = area of square base X height of the box.
We are given that the length of one side of the square base is = x cm, and its height is h cm.
Area of square base = \(x^{2}cm^{2}\)
The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.
In this case, the volume of the box will be \(x^{3}=1536cm^{3}\)
from this, \(x =3\sqrt{1536}= 11.53cm\)
There fore, the box has its length, height, and width all having the same values.
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
a woman is thrice as old as her daughter .Twelve years hence, she will be twice as old as her daughter. Find their present ages.
help me
Answer:
Their present ages are:
Her daughter's age = 12 years Women's age = 36 yearsStep-by-step explanation:
Given that:
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter.To Find:
Their present ages.Let us assume:
Her daughter age be x. Women's age = 3xAfter 12 years:
Her daughter's age = x + 12Women's age = 3x + 12Finding their present ages:
According to the question.
⇒ 3x + 12 = 2(x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
⇒ x = 12
Their present ages:
Her daughter's age = x = 12 years Women's age = 3x = (3 × 12) = 36 yearsAges after 12 years:
Her daughter's age = x + 12 = (12 + 12) = 24 years Women's age = 3x + 12 = (3 × 12) + 12 = (36 + 12) = 48 yearsThe perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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The mark up price of a pair of shoes which costs $245.00 is 5.75%. a)What is the final price? If the tax is 5 3/4 % How much will be paid for that pair of shoes?
The mark up price of the shoe would increase the final price
The final price of the shoe is $259.0875The final price of the shoe after tax is $273.98503125The final price of the shoeThe given parameters are:
Cost = $245.00Mark up price = 5.75%The final price is calculated using:
Final = Cost * (1 + Mark up)
This gives
Final = 245* (1 + 5.75%)
Evaluate
Final = 259.0875
Hence, the final price of the shoe is $259.0875
The final price of the shoe, after taxIn (a), we have:
Final = 259.0875
Given that the tax is 5 3/4%, the final price after tax would be
After tax = Final * (1 + Tax)
So, we have:
After tax = 259.0875 * (1 + 5 3/4%)
Evaluate
After tax = 273.98503125
Hence, the final price of the shoe after tax is $273.98503125
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