A dog allergy test for people has a 98% accuracy rate. Only one percent of the population has an allergy to dogs actually it is much smaller than that. Use a group of 100,000 people who have taken the test and the information provided to complete the table and answer the following question if you tested positive what is the probability you have a dog allergy

Answer:

The answer is 0.176

Answer:

C ( I think so)

Step-by-step explanation:

I hope this helps a bit.

Answer:

B

Step-by-step explanation

We have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points and and is shaded above the line.

The line is solid

The line passes through points and and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

For more such questions on Quadrilateral:

https://brainly.com/question/27991573

#SPJ8

Answer:

Step-by-step explanation:

ac=3.14/p==\(\beta \alpha\)ty

Answer:

Margin of Error concept & example

Step-by-step explanation:

Margin of Error refers to range of values around sample statistic, within confidence interval. It denotes, expected percentage points of difference from real population value.

Example : With 95% Confidence Interval with (lets say 4) percent Margin of Error implies that - statistic is expected to be within 4% deviation around population mean 95% of the time.

It applies to pie case also. People liking chocolate pie are likely to be within ME% around sample percentage, with probability of CI% .

Answer:Step-by-step explanation:

Answer:

I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.

Step-by-step explanation:

" "

Answer:

D

Step-by-step explanation:

The other options aren't entirely true. Although loans typically need to be paid back, grants do not need to be. Since a portion of this statement is wrong, that option is automatically eliminated. Then there's scholarships. Most scholarships do not need to be paid back. In fact, I have not heard of one where you do need to pay it back, but there's a possibility one exists. As for the third option, if you're in a work-study program, you are earning money and therefore have nothing to pay back. The only liable choice left is the last answer, as saving money will always benefit you financially.

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

For more such questions on ratio

https://brainly.com/question/30370621

#SPJ8

Answer: 182 miles.

Step-by-step explanation:

0.17x + 18.95 ≥ 50

        - 18.95     -18.95

0.17x = 31.05

x= 182

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer: m = 5/8

Step-by-step explanation:

Answer:

4.76cm

Step-by-step explanation:

Given data

circumference= 15cm

The expression for circumference is

C= 2πr

substitute and solve for r

15= 2*3.14*r

r= 15/ 2*3.14

r=15/ 6.28

r= 2.38 cm

Hence the diameter is

D= 2r

D= 2*2.38

D=4.76cm

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.

The volume of a sphere is expressed as;

V = 4/3 × π × r³

Where r is radius and constant pi π = 3.14.

Given the data in the question;

To find the volume of the sphere, plug the given value into the above formula and simplify.

V = 4/3 × π × r³

V = 4/3 × 3.14 × ( 5 yd )³

V = 4/3 × 3.14 × 125 yd³

V = 523.3 yd³

Therefore, the volume of the sphere is 523.3 yd³.

Learn more about volume of sphere here: https://brainly.com/question/9994313

#SPJ1

Answer:

AD = 3

Step-by-step explanation:

Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).

Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².

Expanding the formula, you'll get 25 - 16 = a².

25 - 16 = 9.

This means that 9 = a².

To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.

Answer:

11 cups

Step-by-step explanation:

1.50x10=15 and that wouldn't be the answer because, he needs to cover all of his supplies.  1.50x11=16.5, and that is enough money to cover all of his supplies. So he would need 11 cups total.

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

The original cost of the mathematics notebook was approximately 105.

Let's assume that the original cost of the mathematics notebook is x.

According to the problem, the school charges a lost book fee of 70% of the original cost of the book. This means that the fee Massimo has to pay is 0.7x.

The problem states that Massimo received a notice that he owed the school 73.50 for the lost book. Therefore, we can set up the following equation:

0.7x = 73.50

Divide both sides of the equation by 0.7 to find the value of x:

x = 73.50 ÷ 0.7

x ≈ 105

Therefore, the original cost of the mathematics notebook was approximately 105.

for such more question on original cost

https://brainly.com/question/25109150

#SPJ11

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

https://brainly.com/question/31913520

#SPJ2

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

For such more questions on even

https://brainly.com/question/30408882

#SPJ8

9514 1404 393

Answer:

  165 miles

Step-by-step explanation:

miles = miles/gallon × gallons

  (55 mi/gal) × (3 gal) = 165 mil

The car will travel 165 miles on 3 gallons.

Answer: 6:1

Step-by-step explanation: