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. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?

A) 0.1135

B) 0.2450

C) 0.9423

D) 0.9932​

Answer:

the value of a would be one, i think

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

the answer would be 0.9583

Answer:

Step-by-step explanation:

1) ?

I can't see what that one given angle is ..  but it's that  mystery angle subtracted from 180 give the angle   BOA   then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of  180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90  to find the angle BAX

2) ( as we would read normally)

You're making this really tough on me.. I can just barely read the equations

I think it's  1+6x  and 7x-3  .  b/c they are the same length sides you can set those equal

1+6x = 7x -3

4+6x = 7x

4 = x

that worked out well :

for the tangent..   it's   Tan(Ф)= Opp/ Adj

but I don't know which side they want to solve for.. I think you may have left off some of the instructions????  :/

ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.

1+6(4) = 25

or

7(4)-3=25

tangent is 25

3)

x-2 = 2x-10

x+8 = 2x

8 = x

again they made it work out easy :)

Then plug 8 into either equation to find the length of the tangent lines

8-2=10

tangent is 10

4) = 2)   ??? they are the same question  maybe  you meant to put something else?

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

Answer:

Speed of the parachutist is meters per second [tex]2.083[/tex] meter per second

Distance travelled in 2 seconds [tex]4.167[/tex] meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second [tex]\frac{180*1000}{24*60*60} = 2.083[/tex] meter per second

Distance travelled in 2 seconds [tex]2.083 *2 = 4.167[/tex] meter

Answer:

187 paving stones are needed

Step-by-step explanation:

Given

Paving stone

[tex]Length = 1m; Width = 80cm[/tex]

Compound

[tex]Length = 13.6cm; Width = 11m[/tex]

Required

Number of wires to cover the compound

Area is calculated as:

[tex]Area = Length * Width[/tex]

For the paving stone, we have:

[tex]A_1 =1m * 80cm[/tex]

Convert cm to m

[tex]A_1 =1m * 0.80m[/tex]

[tex]A_1 =0.8m^2[/tex]

For the compound, we have:

[tex]A_2 = 13.6m * 11m[/tex]

[tex]A_2 = 149.6m^2[/tex]

Divide the area of the compound by the area of the paving stone

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{149.6}{0.8}[/tex]

[tex]n = 187[/tex]

Answer:

56,067

Step-by-step explanation:

there are 52 weeks in a year. and they work 40 hours a week.

[tex]26.96*40=1078\\1078*52=56,067[/tex]

Answer:

The answer is C.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

Answer:

The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".

Step-by-step explanation:

Given:

[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]

The sample proportion is computed by subtracting that sample size by both the successes:

[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]

Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]

add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):

So, the boundaries of the confidence interval:

[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]

Step-by-step explanation:

Choose the correct inequality that matches the information on the sign. the answers are

s<60

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

9514 1404 393

Answer:

  graph is attached

Step-by-step explanation:

With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.

The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

Answer:

x = -11

Step-by-step explanation:

Because 3 x -11 = -33 and

8 -(-33 = 41

Answer:

x=-11

Step-by-step explanation:

8_3x=41

_3x=41-8

_3x=33

Scroll on _3x For both parties

x=11

Step-by-step explanation:

I am sure you are 100 percent Clear. You can follow me to get more answer.

Answer is in your next question.

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

The standard equation of the circle is

[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

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Answer:

32/9 or 3.55555555556

hope this answer helps you!

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

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Ok send the picture so I can help you.

Answer:

what is the question? I can help

Step-by-step explanation:

Answer:

$900

Step-by-step explanation:

$180 divided by 0.20 is $900

A percentage is a way to describe a part of a whole. The original cost of the laptop is $900.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the original cost of the laptop be represented by x.

Given that you saved $180 on your new laptop, which is a 20% saving from the original price. Therefore, the percentage can be written as,

20% of original price = $180

(20/100) × x = $180

x = ($180×100)/20

x = $900

Hence, the original cost of the laptop is $900.

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Answer:

c and

28.57%

Step-by-step explanation:

count how many number fall into each category

50-59 has 1

60-69 has 2

70-79 has 4

80-89 has 4

and 90-99 has 3

So the last histogram fits this data

to find the % of those that are between 70-79, take the total number of items that fit into that category (4) and divide by the total number of items (14)

4/14=.2857 --> turn to a percent .2857*100=  28.57%

Answer:

the closest answer I got was A

Step-by-step explanation:

hope this helped at all

Answer:

It's B

Step-by-step explanation:

The actual area of the apartment will be 960 square feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

A blueprint shows an apartment with an area of 15 square inches.

If the blueprint's scale is 1 inch : 8 feet.

Then the scale factor will be 8/1 feet per inch.

Then the actual area square footage of the apartment will be

Actual area = 15 x (scale factor)²

Then the actual area of the footage will be

Actual area = 15 x (8/1)²

Actual area = 15 x 64

Actual area = 960 square feet

Thus, the actual area of the apartment will be 960 square feet.

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Answer:

This is confusing

Step-by-step explanation:

Answer:

there are 10 triangles

Step-by-step explanation:

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector