Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

0.005
0.015
0.245
0.735​

Answer:

4,886.83feet

Step-by-step explanation:

The question will result in a right triangle with

Opposite = distance of the balloon above the ground = 950feet

Angle of elevation = 11 degrees

Required

Horizontal distance h (adjacent)

Using SOH CAH TOA identity

Tan theta =opp/adj

Tan 11 = 950/h

h = 950/tan 11

h = 950/0.1944

h = 4,886.83feet

Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet

Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

Answer:

x=4

Step-by-step explanation:

To find x, start with the equation

(7x-5)=33 because you need the two angles to equal each other

7x=28 next subtract 5 from 33 following the rules of PEMDAS

x=4 now you will end up with x=4, after dividing 28 by 4.

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

Answer:

try to look out for words such as more than, less than, twice as much, half as much, in addition to, took away something, etc

Step-by-step explanation:

hope this helped!

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

Answer:

0.38

Step-by-step explanation:

We will use ratios:

[tex]\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38[/tex]

First answer is:

150

Second answer is:

B. Is is the common difference.

Answer:

24 + 12 = 36

Step-by-step explanation:

find the volume of the upper left part by finding the dimensions

it already gives 2 side lengths: 2 and 2. To find the 3rd side length you can take 5 - 2 to get 3. 3*2*2 = 12

find the volume of the bottom portion by finding the dimensions. we are given 2 sides again: 2 and 2. to get the upper long side, we can do 4 + 2 to get 6. 6*2*2 = 24

24+12= 36cm^3

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Answer:

[tex]y = 2(x +3)^2 -2[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,-2)[/tex] --- vertex

[tex](x,y) = (-5,6)[/tex] --- point

Required

Determine the equation

The general form is:

[tex]y = a(x - h)^2 + k[/tex]

First, we solve for a:

Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]

[tex]6 = a(-5 - (-3))^2 - 2[/tex]

[tex]6 = a(-2)^2 - 2[/tex]

[tex]6 = 4a - 2[/tex]

Solve for a

[tex]4a = 6 + 2[/tex]

[tex]4a = 8[/tex]

[tex]a = 2[/tex]

So:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - (-3))^2 -2[/tex]

[tex]y = 2(x +3)^2 -2[/tex]

Answer: 44g

Step-by-step explanation:

Half life refers to the length of time it takes for half of the atoms of the element in question to decay.

The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:

= 352 / 2

= 176g

After the second minute:

= 176 / 2

= 88g

After the third minute:

= 88 / 2

= 44g

Answer:

The selected option

Step-by-step explanation:

Coincidentally, you answered correctly.

From the values of 3 and five, we can assume that the function of the table is Y=x+2.

But if we move to the next value pairs, that function is false.

10=6+2 that isn't correct.

If you apply this to all the pairs in the table you will find that there is not a function that represents the values given. Therefore, the first option is correct.

Answer:

[tex]1205.8 \: {in}^{3} [/tex]

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]

Answer:

substitution method

x = 7

y = 2

Step-by-step explanation:

2x - 2y = 10

x = 7

substitute for x:

2(7) - 2y = 10

14 - 2y = 10

subtract 14 from each side of the equation:

-2y = -4

divide both sides by -2:

y = 2

Answer:

50.8

Step-by-step explanation:

Answer:

degree for A is 29° and degree for Z is 0°

Answer:

It would cost 3.38 million for 2.6 megawatts.

Step-by-step explanation:

1.3 X 2.6 = 3.38

3.38 million for 2.6 megawatts.

Answer:

4pi millimeters.

Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm

Step-by-step explanation:

To get the circumference of a circle, just multiply the diameter by pi

Answer:

C=0.125m

Step-by-step explanation:

C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

Answer:

13

Step-by-step explanation:

Since the X points { (-4, -15), (-4, -2) } are the same, its just a matter of 15-2, which equals 13.

Answer:

The correct answer is Y = 26

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

28 degrees

Step-by-step explanation:

just subtract 62 from 90

Answer:

3 m

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 5 = 8 parts

Divide the length by 8 to find the value of one part of the rope

24 m ÷ 8 = 3 m ← value of 1 part of the ratio

Thus the shortest piece is 3 m

The required length of the shortest piece is 3 meters.

Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is​ to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
let the required proportion is equal to x,
then,

x + 2x + 5x = 24
8x = 24
x = 3

Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter

Thus, the required length of the shortest piece is 3 meters.

Learn more about Ratio here:

brainly.com/question/13419413

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