7000_1.8%=61.2%this is the answer
80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not. a positive result means the test has identified you as having meningitis. of the volunteers, only 17 people have meningitis. the results show 5 people who have meningitis gets a negative result and 7 people who don't have meningitis get a positive result. what was the accuracy of the test?
Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.
What is the accuracy of a test?The accuracy of a test is given by the number of correct results divided by the number of results.
In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.
Hence the accuracy of the test is given by:
a = 68/80 = 0.85 = 85%.
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Two quantities are proportional if their ___ are equal.
A) numerator
B) denominators
C) cross products
Answer:
C) cross products
Step-by-step explanation:
Let's say you were solving [tex]\frac{1}{2}=\frac{x}{4}[/tex] for example. You would need to use cross products to simplify the problem. Here, the left side would be 1*4, and the right side would be 2*x, giving you [tex]4=2x[/tex], thus, leading to the solution [tex]x=2[/tex]. We can see clearly that the cross products would thus need to be equal to each other.
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]Please help with this problem about circles and tangents. solve for X.
As tangents from a single point to the circle are equal in measure
AC=BCABC is isosceles
<A=60°
We know the radius hits any tangent on right angles
So
<PAC=90°<PAD=90-60=30°Now
cosØ=Base/Hypotenusecos30=6/x√3/2=6/x√3x=12x=12/√3accurate value
x=6.9Answer:
[tex]x=4\sqrt{3}[/tex]
Step-by-step explanation:
If two tangents to a circle meet at one exterior point, the tangent segments are congruent. Therefore, AC = BC
This means that ΔABC is an isosceles triangle and so
∠ABC = ∠BAC = 60°
The tangent of a circle is always perpendicular to the radius.
Therefore, ∠PAC = 90°
With this information, we can calculate ∠PAD:
⇒ ∠PAD + ∠BAC = ∠PAC
⇒ ∠PAD + 60° = 90°
⇒ ∠PAD = 90° - 60°
⇒ ∠PAD = 30°
We now have a side length and an angle of ΔPAD (shown in orange on the attached diagram). So using the cos trig ratio, we can calculate [tex]x[/tex]:
[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = ∠PAD = 30°A = AD = 6H = AP = [tex]x[/tex][tex]\implies \cos(30^{\circ})=\dfrac{6}{x}[/tex]
[tex]\implies x=\dfrac{6}{\cos(30^{\circ})}[/tex]
[tex]\implies x=\dfrac{6}{\frac{\sqrt{3}}{2}}[/tex]
[tex]\implies x=4\sqrt{3}[/tex]
Find the area of the regular polygon
Answer:
a = 337.214 m2
Step-by-step explanation:
hope this helps
The height of an equilateral triangle is the square root of 12. Find the perimeter of the triangle.
I am confused about this question
Answer:
X = 5
Step-by-step explanation:
When the line is going vertically down, the x-intercept is always the equation of the line.
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line passes through the y-axis)However, for vertical line equations, we write them a little differently:
[tex]x=d[/tex]
d = the x-intercept (the value of x when the line passes through the x-axis)We write equations for vertical lines like this because they might not always have a y-intercept.
Solving the QuestionWe're given:
Line L passes through the x-axis when x = 5This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:
[tex]x=d[/tex]
[tex]x=5[/tex]
Answer[tex]x=5[/tex]
ICE CREAM For Exercises 5 and 6, use the
following information provided in the
table.
Toppings
Ice Cream (Scoop)
Sprinkles
Hot Fudge
Whipped Cream
Nuts
Cost
x dollars
$0.25
$0.75
$0.50
$0.35
5. Ten kids each order a scoop of ice
cream. Five of the kids add sprinkles,
3 add nuts, and 2 add nothing extra.
Write and simplify an expression that
represents the total cost.
So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.
What is cost?Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.
Therefore, the total cost for the 10 kids is:
5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75
Simplifying this expression, we get:
8x + 2.75 = 8(x + 0.34375)
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A simple random sample from an infinite population is a sample selected such that.
A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.
What is Simple Random Sampling?Simple random sampling is known to be a types of sampling where there are no laws, rules etc., on how to select the samples.
Note that it is seen easiest way of sampling and as such, A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.
See full question below
A simple random sample from an infinite population is a sample selected such that:
a. each element is selected independently and from the same population
b. each element has a 0.5 probability of being selected
c. each element has a probability of at least 0.5 of being selected
d. the probability of being selected changes
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11 gallons of water are used to completely fill 5 fish tanks. if each tank holds the same amount of water, how many gallons will each tank hold? solve on paper and check your work on zearn. express your answer as a mixed number
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
The 11 gals of water are equally split up into 5 tanks, so divide 11 by 5.
[tex]\frac{11}{5}[/tex] then simplifies into [tex]2\frac{1}{5}[/tex]
describe full the graph that has the equation x^2 + y^2=9
Answer:
see explanation
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 9 ← is in this form
with centre (0, 0 ) and r = [tex]\sqrt{9}[/tex] = 3
this then is the equation of a circle whose centre is (0, 0 ) with radius 3
Answer:
Step-by-step explanation:
Discussion
First of all, the graph is of a circle. Anytime you see x^2 + y^2 = r^2, you are dealing with a circleThe center is at 0,0. If it was anything else then x or y or both would be modified. (x+4)^2 + ( y - 3)^2 = 25 does not have it's center at 0,0Third, the radius of the circle is the square root of r^2. In this case, r^2 = 9 so r = sqrt(9) or r = 3image below i will give brainliest
Answer:
10.6
Step-by-step explanation:
We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].
Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).
writing fractions with common denominators to add or subtract(Aleks)
Answer:
3/5+1/3= 9/15+5/15= 14/15
Step-by-step explanation:
Hi there!
To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15
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Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.
If P Is inversely proportional to the square of q and p is 22 when a is 8 determine p when Q is equal to 4
The value of p is equal to 76 when q is equal to 4
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of a is 8
Replace the values and find out q
[tex]p=\frac{k}{q^2}[/tex]
[tex]22=\frac{k}{8^2}[/tex]
[tex]22=\frac{k}{64}[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 4
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2}[/tex]
[tex]p=\frac{1216}{4^2}[/tex][tex]p=76[/tex]
The value of p is equal to 76 when q is equal to 4
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Answer:
P = 88.
Step-by-step explanation:
P = k/q^2
22 = k/ 8^2
k = 22 * 64 = 1408.
So P = 1408/q^2
When q = 4:
P = 1408/4^2
q = 88
pls help i beg you!
A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes H hours is given by the following.
c=79+24h
Answer the following questions.
(a)
What is the total cost for fixing a drain that takes 7 hours?
$?
(b)
If the plumber charged a total of $343, how many hours did he spend fixing the drain?
?hours
Answer:
for "A" the answer is 247$
For "B" the answer 11 hours
Step-by-step explanation:
Which of the following can be the third side of a triangle whose other two sides measure 8 inches and 10 inches
A) 17inches
B) 18inches
C) 19 inches
D) 20 inches
How to work out the mode
Answer:
mode
is the most common frequent value
Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
to resurface a road of length 14 km?
Answer:
16 daysStep-by-step explanation:
Let x be the number of days that it will take.
7/8 km per 1 day
14 km per x day
We have to solve the equation:
[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]
[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]
3
————
i need help!!
math geniuses pls help me!
—-
—————
Answer:
the answer is A. sorry for dirty handwriting
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need to be completely filled?
There are 10 number of 1 cubic inches box required to fill the container completely.
What is a cuboid?
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have:
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.
The volume of the prism box = 4×4×3 = 48 cubic inches
Here some data are missing.
We are assuming there are 38 1 cubic inches box already in the big box.
So,
= 48 - 38
= 10
Thus, there are 10 number of 1 cubic inches box required to fill the container completely.
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How many layers of 1 inch cubes fill the carton
Answer:
3
Step-by-step explanation:
4 layers 15 cubes
the total amount of cubes =5*3*4
1. Which of the following statements is correct? a) The additive inverse of number 0 does not exist. b) The additive inverse of number 1 does not exist. c) The multiplicative inverse of number 0 does not exist. inverse of number 1 does not d) The multiplicative exist.
Answer:
c
Step-by-step explanation:
The multiplicative inverse of number 0 does not exist.
When taking the multiplicative inverse of 0, we get :
[tex]\frac{1}{0}[/tex]This is not defined, as there are no set limits in the denominatorHence, the multiplicative inverse of 0 does not existPls answer this asap
Answer:
9.5 feet
Step-by-step explanation:
Area of square garden = side length²
⇒ 90 = l²
⇒ l = √90
⇒ l = 3√10
⇒ l = 9.5 feet (nearest tenth)
The length of one side lies between the whole numbers 9 and 10.
Answer:
9 and 10
side length = 9.5 ft (nearest tenth)
Step-by-step explanation:
Area of a square = s² (where s is the side length)
Therefore, if the square garden measures 90 ft², the length of one side will be √90.
To find the two whole numbers that √90 lies between, find the perfect square either side of 90.
Perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, ...
Therefore, 90 lies between 81 and 100:
⇒ 81 < 90 < 100
Square root the numbers:
⇒ √81 < √90 < √100
⇒ 9 < √90 < 10
Therefore, the length of one side of Grandma's garden is between 9 and 10.
To estimate √90 to the nearest tenth, find the difference between the three numbers:
[tex]81 \overset{+9}{\longrightarrow} 90 \overset{+10}{\longrightarrow} 100[/tex]
As 90 is almost in the middle of 81 and 100,
⇒ √90 = 9.5 (nearest tenth)
According to the calculator, √90 = 9.486832981... = 9.5 (nearest tenth)
which verifies the estimation.
graph the following features ( need this fast by the next 2 hours please help !! )
Y-intercept = -3
Slope = 2
Can you use Third Angles Theorem to prove that two
are congruent? Explain your reasoning.
triangles
Answer:
The Third Angle theorem is not enough to prove that two triangles are congruent.
Step-by-step explanation:
It establishes that if two angles of one triangle are congruent with two angles of another triangle, then the third angles are also congruent. This indicates that the two triangles are similar but not identical.
Find the surface area of the space figure represented by the net.
A) 264 in.2
B) 290 in.2
C) 145 in.2
D) 242 in.2
Answer:
290 in^2.
Step-by-step explanation:
Adding all the areas of rectangles:
= 11*8 + 11*3 + 11*8 + 11*3 + 3*8 + 3*8
= 290 in^2.
Answer:
B) 290 in²
Step-by-step explanation:
Area of a rectangle = length × width
⇒ SA of the net = 2(11 × 8) + 2(11 × 3) + 2(8 ×3)
= 176 + 66 + 48
= 290 in²
I HAVE A CYLINDER AND cone WITH THE
Same Dimensions (RADIUS AND HEIGHT OF
BOTH ARE THE SAme). The volume OF THE
cone is 33 CUBIC INCHES. WHAT IS THE
Volume OF THE CYLINDER IN CUBIC
inches?
125 Sunny
Answer:
99 in³
Step-by-step explanation:
Let the radius and height of each be r and h in. respectively.
Write an equation for the volume of cone.
Volume of cone= ⅓πr²h
⅓πr²h= 33
Multiply both sides by 3:
πr²h= 99
Volume of cylinder= πr²h
We have found the value of πr²h previously, which is 99.
Thus, the volume of the cylinder is 99 in³.
alia is shopping for school clothes she want to buy 5 T-shirts for 6 each and pair of shoes for 20 she thinks that she will spend about 30 is the answer reasonable
Answer:
it's not reasonable because the t-shirts alone cost 30 and the shoes cost 20 so it would cost 50 altogether.
if u want u can answer question 14 and 15 but if u don’t just answer 14
Answer:
For #14, (around) 108 times.
#15 = 53
Step-by-step explanation:
14)
2.69*10^5 = 269000
2.5*10^3 = 2500
269000/2500 = 107.6
Rounding up, we get 108
15)
√(53 - 8)2 + (31 - 3)2
= √(45)2 + (28)2
= √2809
= 53
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