Testing for a disease can be made more efficient by combining samples. If the samples from people are combined and the mixture tests​ negative, then samples are negative. On the other​ hand, one positive sample will always test​ positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is ​, find the probability of a positive result for samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Answer:

500×(25÷100)=125 This is what she drank

500-125=375

she will be left with 375ml

Answer:

C

Step-by-step explanation:

[tex]\dfrac12^3=\dfrac12 \times\dfrac12 \times\dfrac12[/tex]

Answer:

C 1/2 x 1/2 x 1/2

Step-by-step explanation:

(1/2)³ = 1/2 x 1/2 x 1/2

Hope it helps.

Answer: Great Britain, Africa, New England, and North Central

The is a probability of 15.87% that if you bake 34 muffins it would run out of today.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where x = raw score, μ = mean and σ = standard deviation.

Given that σ = 6, μ = 40, hence:

For x = 34:

z = (34 - 40)/6 = -1

P(z < -1) = 0.1587

The is a probability of 15.87% that if you bake 34 muffins it would run out of today.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

176

Step-by-step explanation:

264 / 12 = x

x * 8 = a

hope this helps :)

227.1 m³

Explanation:

[tex]\sf \ formula \ of \ volume \ of \ cone \ \ : \dfrac{1}{3} \ \pi \ r^2 \ h[/tex]

[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (4.4)^2 (11.2)[/tex]

[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (216.832)[/tex]

[tex]\sf \hookrightarrow 72.3 \pi \ m^3[/tex]

[tex]\sf \hookrightarrow 227.066 \ m^3[/tex]

[tex]\sf \hookrightarrow 227.1 \ m^3[/tex]

Solution:

We know that:

[tex]Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Height = 11.2 \ m\\\\ Diameter = 8.8[/tex]

Step-1: Find the radius of the cone.

[tex]Diameter = 2(Radius) \\\\ 8.8 \ m = 2(Radius) \\\\ \frac{8.8}{2} = \frac{2(Radius)}{2} \\\\ 4.4 \ m = Radius[/tex]

Step-2: Substitute the radius and the height in the formula.

[tex]Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Volume \ of \ cone = (3.14)( 4.4^{2})( \frac{11.2}{3})\\\\ Volume\ of \ cone = (3.14)(19.36)( \frac{11.2}{3}) \\\\ Volume \ of \ cone = \frac{680.85}{3} = \bold{226.95 = 227 \ m^{3} \ (Rounded)}[/tex]

Thus, the volume of the cone is about 227 m³.

p = 75. i just looked it up....

Answer:

The quotient of a number,g, and the sum of 3e and 5 is 6

Step-by-step explanation:

I hope it's help

Answer:

  the levels are 123.5 and 232.7 mg/mL

Step-by-step explanation:

The inverse normal function is used to find limit values from an area (probability).

Your calculator can show these values to you. (see attached)

The top 9% are above 232.7 mg/mL.

The bottom 9% are below 123.5 mg/mL.

__

A suitable calculator can evaluate the inverse normal function to find the x-value corresponding to some area, mean, and standard deviation. For the level that separates the bottom 9% from the rest of the area, we use an area value of 0.09. The mean and standard deviation values are those provided in the problem statement.

For the level that separates the top 9% from the rest of the area, we use an area value of 1 -0.09 = 0.91.

__

The second attachment shows an online calculator that can give the limits on the middle 0.91 -0.09 = 0.82 of the area under the probability curve.

_____

Additional comment

An app version of an approximation to a TI-Nspire calculator is shown in the first attachment. The invNorm function is found at the Distr key (2nd VARS).

For the top 9% we have to find the value x for which

P(X<x) = 0.91

Converted to the standard normal distribution this corresponds to

P(Z<(x-178.1)/40.7) = 0.91

Then: (x-178.1)/40.7 = 1.341

or x = 232.7

For the bottom 9% we have to find the value x for which

P(X<x) = 0.09

Converted to the standard normal distribution this corresponds to

P(Z<(x-178.1)/40.7) = 0.09

Then: (x-178.1)/40.7 = -1.341

or x = 123.5

So the 2 levels that separate the top 9% and the bottom 9% are 232.7 and 123.5.

Answer:

70 years old

Step-by-step explanation:

300 - 160 = 140

140 ÷ 2 = 70

Answer:

then find the intersection

Answer:

5

Step-by-step explanation:

the quadrtic formula says the x=y=z but it also argues

Answer:

4: [52, 58]

5:  16 ≤ y ≤ 50   where y is in km

Step-by-step explanation:

Step-by-step explanation:

[tex] \tan( \frac{x}{2} ) = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

[tex] \tan( \frac{x}{2} ) = \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } [/tex]

So we have

[tex] \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } = \frac{ \sin(x) }{ \sqrt{1 + \cos(x) } } [/tex]

Next, we then rationalize the numerator so we get

[tex] \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \frac{ \sqrt{1 + \cos(x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } [/tex]

The denominator should be square root so to let you know .

So know we ahev

[tex] \frac{ \sqrt{1 - \cos {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{1 + \cos(x) } [/tex]

[tex] \frac{ \sqrt{ \sin {}^{2} (x) } }{1 + \cos(x) } = \frac{ \sin(x) }{ {1 + \cos(x) } } [/tex]

[tex] \frac{ \sin(x) }{1 + \cos(x) } = \frac{ \sin(x) ) }{1 + \cos(x) } [/tex]

The total amount that Mrs. Chauke paid for buying airtime using her bank's services sum up to R2.20. This question is about Analyzing Bank Statements.

Notice that on the 23rd of March and the 24th of March. On both occasions, she was charged R1.10 each.

Hence, to get the total amount she paid as charges for buying airtime, we say:

1.10 + 1.10  = R2.20

See the link below for more about Analyzing Bank Statements:

https://brainly.com/question/24401217

Answer:

(a) sa = 251.33 cm

(b) v = 235.6 cm^3

(c) 1; doubling the radius to 10 cm while the height remains at 3 cm

Step-by-step explanation:

Answer:

A = 0.65

B = 3.304

C = 6.07

Step-by-step explanation:

You have to subtract to the final result the initial one and divide it for the number of segments. Then, for every segment you add the number you found, for example:

Value of a segment:

[tex] \frac{1 - 0.5}{10} = 0.05[/tex]

Value of A:

[tex]0.5 + 3 \times 0.05 = 0.65[/tex]

Answer:

1/6

Step-by-step explanation:

1/3x1x1/2x2x1/2x5x1/2 =20/120 =1/6

Answer:

Each snack combo costed $8

Step-by-step explanation:

4 friends* 11 per ticket = $44 for four tickets

76 - 44 = $32 spent on all the snack combos

$32 ÷ 4 friends = $8 spent on each snack combo

So, each snack combo costed $8

Hope this helps!

Answer:

Step-by-step explanation:

Rate of interest = r = 2.5%

The amount invested = P = £ 2500

Number of years = n = 5 years

[tex]Simple \ Interest = P*r*t[/tex]

                          [tex]=2500*\dfrac{2.5}{100}*5\\\\\\= 25 * 2.5*5[/tex]

                          = £ 312.5

Amount that Brain will have after 5 years = P + simple interest

  = 2500 + 312.5

  = £2812.50

Answer:

wow your right that is an incredible question and please stop asking me that your making me questioned myself for all my answers and other people's answers.

What made you think that because you do make a point want to talk about it?

Step-by-step explanation:

Answer:

Because he made it...therefore he couldn't be wrong.

Step-by-step explanation:

Big brain moment.

Hope this helps. Pls give brainliest!

Answe

jesiica tardo 29 minutos

Step-by-step explanation:

Answer:

55 minutes

Step-by-step explanation:

[tex]6 \: hrs \: 45 \: min \: - 5 \: hrs \: 50 \: min \: = 55 \: min[/tex]

Do you perhaps have a pic of the triangle they are talking about?

Answer:

Step-by-step explanation:

let 4th vertex be (x,y)

midpoint of diagonal is same.

[tex]\frac{0+0}{2} =\frac{3+x}{2}\\\\3+x=0\\ x=-3\\\frac{0+6}{2} = \frac{3+y}{2} \\3+y=0+6\\y=6-3\\=3[/tex]

so 4th vertex is (-3,3)

Answer:

3.48%

Step-by-step explanation:

Probability = Area of hole / Area of board

= 3.14 x 2 x 2 / 12 x 30

= 12.56 / 360

= 0.0348

= 3.48%

Answer:

Step-by-step explanation:

The rule is:

We have x- values of 1, 3, 10 and need to find the y-values.

Substitute the values of x into the rule to find the corresponding values of y:

We need y values of 1,3,10

#1

#3

#10

Check the picture below.

the only equation form available to it is the one you see in the picture.

why it has no slope?  well, if we pick any two points off of it to get its slope, we'll come back with "undefined", or namely a division by 0, and that's true for all vertical lines.