a child needs to take 1/6tablespoons of medicine per day in 4 equal doses howmuch medicine is in each dose
​

Answer:

0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they booked the hotel using an online travel website, or they did not. Each person is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Suppose that the probability that a person books a hotel using an online travel website is 0.68.

This means that [tex]p = 0.68[/tex]

Sample of fifteen:

This means that [tex]n = 15[/tex]

What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel

[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

So

[tex]P(X = 0) = C_{15,0}.(0.68)^{0}.(0.32)^{15} = 0[/tex]

[tex]P(X = 1) = C_{15,1}.(0.68)^{1}.(0.32)^{14} = 0[/tex]

[tex]P(X = 2) = C_{15,2}.(0.68)^{2}.(0.32)^{13} = 0[/tex]

[tex]P(X = 3) = C_{15,3}.(0.68)^{3}.(0.32)^{12} = 0.0002[/tex]

[tex]P(X = 4) = C_{15,4}.(0.68)^{4}.(0.32)^{11} = 0.0011[/tex]

[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0 + 0 + 0 + 0.0002 + 0.0011 = 0.0013[/tex]

0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel

Answer:

d hopefully this helps you

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

Answer:

110 ft. is the height of the building.

Step-by-step explanation:

Checked out the attached image

Answer:

28.25

Step-by-step explanation:

Area = C²/ 4π = 28.245673384359

Answer:

28.25 units^2

Step-by-step explanation:

Hope this helps!

Answer:

8/9

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

'

Thus, the answer to 1/3 divided by 3/8 in fraction form is: 8/9

Answer:

8/9

Step-by-step explanation:

Use a calculator. It is way easier. Math is hard.

Answer:

95.1 miles

Step-by-step explanation:

If one unit equal to one mile

Then,

Gas Station with 3.8 units = 3.8 miles

Byron's house with 88 units = 88 miles

Market with 3.3 units = 3.3 miles

Total miles travelled from Byron's house to gas station and then to market =3.8+88+3.3= 95.1 miles

not proportional

y=mx+b

does not cross origin

Only CRoC

_______________________________

_______________________________

Answer:

Not a function because the domain 4 repeats.

Answer:

The equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]

Step-by-step explanation:

We need to find the equation of the line that passes through (0, -2) and has a slope of 0?

The equation of line can be expressed in slope-intercept form [tex]y=mx+b[/tex] where

We need to find slope and y-intercept for the equation.

We are given slope = 0 so, m = 0

Now, y-intercept can be found using slope m=0 and point (0,-2)

[tex]y=mx+b\\-2=0(0)+b\\-2=b\\or\\b=-2[/tex]

So, we get y-intercept: b = -2

Now, the equation of the line having slope m=0 and y-intercept b=-2 is:

[tex]y=mx+b\\y=0(x)-2\\y=-2[/tex]

So, the equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]

Answer: about 11.88

Step-by-step explanation: you just multiply all of it lol

Answer/Step-by-step explanation:

✔️Find <K using law of sines:

Thus,

[tex] \frac{sin(K)}{k} = \frac{sin(H)}{h} [/tex]

K = ??

k = 37 mm

H = 34°

h = 29 mm

Plug in the values

[tex] \frac{sin(K)}{37} = \frac{sin(34)}{29} [/tex]

Multiply both sides by 37

[tex] \frac{sin(K)}{37}*37 = \frac{sin(34)}{29}*37 [/tex]

[tex] sin(K) = \frac{sin(34)*37}{29} [/tex]

[tex] sin(K) = 0.713453014 [/tex]

[tex] K = sin^{-1}(0.713453014) [/tex]

[tex] K = 45.5 degrees [/tex] (nearest tenth)

✔️Find J:

m<J = 180° - (45.5° + 34°) (sum of ∆)

m<J = 100.5°

✔️Find j using Sine rule:

[tex] \frac{j}{sin(J)} = \frac{h}{sin(H)} [/tex]

J = 100.5°

j = ??

H = 34°

h = 29 mm

Plug in the values

[tex] \frac{j}{sin(100.5)} = \frac{29}{sin(34)} [/tex]

Multiply both sides by sin(100.5)

[tex] \frac{j}{sin(100.5)}*sin(100.5) = \frac{29}{sin(34)}*sin(100.5) [/tex]

[tex] j = \frac{29*sin(100.5)}{sin(34)} [/tex]

j = 51.0 mm (nearest tenth)

Answer:

102.63

Step-by-step explanation:

There are 12 months in a year. 12 * 38 = 456

There  are 52 weeks in a year 52 * 9 = 468

Cigarettes : dry cleaning :: 468:456

Cigarettes : dry cleaning :: 1.0263

The % is (468/456)*100 = 102.63%

The % shows that she spends more on cigarettes than she does on dry cleaning, which is usually the case.

Answer:

5.421 > 5.4

Step-by-step explanation:

Answer:

8x+2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

86.5ml...hope I am right

The final volume of the mixture is 161.61146 milliliters (ml) as per the data given in the prescription.

A prescription, also known as a Rx, is a formal communication from a doctor or other registered health-care professional to a pharmacist.

The prescription indicates that Chlorpheniramine comes in a 100ml bottle, Lidocaine comes in a 2oz bottle, and 1/2 tsp of banana flavoring is to be added. The prescription instructs to take 10ml of the mixture twice a day (BID).

First, we need to convert the 2oz of Lidocaine into milliliters. One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters (ml). Therefore, 2oz of Lidocaine is equal to:

2 oz x 29.5735 ml/oz = 59.147 ml

Next, we need to add 1/2 tsp (teaspoon) of banana flavoring to the mixture. One teaspoon is equivalent to approximately 4.92892 milliliters (ml). Therefore, 1/2 tsp of banana flavoring is equal to:

1/2 tsp x 4.92892 ml/tsp = 2.46446 ml

To find the final volume of the mixture, we add the volumes of Chlorpheniramine, Lidocaine, and banana flavoring:

Final volume = Chlorpheniramine volume + Lidocaine volume + Banana flavoring volume

Final volume = 100ml + 59.147ml + 2.46446ml

Final volume = 161.61146 ml

Therefore, the final volume of the mixture is 161.61146 milliliters (ml).

For more details regarding prescription, visit:

https://brainly.com/question/29704315

#SPJ7

Answer:

76x^2 - 58x

Step-by-step explanation:

Area of the Yard: 7x(12x-6) = 84x^2-42x

Area of the Shed: 4x(2x+4) = 8x^2+16x

Area of the Lawn: 84x^2-42x -(8x^2+16x) = (84x^2-8x^2) + (-42x-16x) =

76x^2 - 58x

The answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]", and the further calculation steps can be defined as follows:

For step 1:

Calculating the lawn area:

[tex]\to \bold{7x (12x -6) = 84x^2 - 42x}[/tex]

For step 2:

Calculating the shed area:

[tex]\to \bold{4x( 2x + 4) = 8x^2 + 16x}[/tex]

For step 3:

Calculating the lawn area by subtracting the area of the shed from the area of the yard:

[tex]\to\bold{ 7x (12x -6) - (4x(2x+4))}\\\\\to\bold{ 84x^2-42x -(8x^2+16x)}\\\\\to\bold{ 84x^2-42x -8x^2-16x}\\\\\to\bold{ 76x^2-58x}\\\\[/tex]

So, the final answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]".

Learn more:

Area calculator: brainly.com/question/22951582

Answer: $19.10

Step-by-step explanation:

To be honestly im not sure if this is 100% correct but, i did the work so it should be. So what i did was move the decimal from $27.50 one place to the left which is= 2.750. i then rounded the easiest number which then gave me the answer $2.80. Now the percentage, its 30% so you then change it to .30

then you multiply that number (.30 which is basically 3) with $2.80.

$2.80

x   .30

--------

you then get $8.40

which is the total cost of tax AND tip.

you subtract that with the cost of the dinner. ( $27.50 - $8.40 ) and you get the answer $19.10! I hope this helps! :))

Answer:

32x - 24y - 5

Step-by-step explanation:

That's the answer that I got on the question

Answer:

4x-3y-5

plz mark me branliest

Answer: no

Step-by-step explanation: 2 is not less than 1

Answer:

No because if you plug in f with 2 it is saying 2 is less than 1 which is not true so it would be

No

Answer: The answer is 3 3/4

I hope this helps

Step-by-step explanation:

Answer:

45-35-9-3+2 = 45-47+2 = 0

if the sum of coefficients is equal to 0, 1 is the factor of the polynomial

you can find other integer factors by looking on the integer factors of 45, so -3 will be a guess or you use use Horner, find how does this polynomial look like after factoring out (x-1) and try to group or other technic

Answer:

First, you have a wrong expression for the options given. Secondly, it seems that the right expression when evaluated, equals 0.026. See below what you can do to solve this problem.

The answers are A, D and F

Step-by-step explanation:

The expression given here does not correlate with any of the options.

94.3 ÷ 10 = 9.43

I assume the '2' which is one space after the '10' is the serial number of this question in your textbook or classwork.

Even if the 2 was supposed to be attached to the 10, that'll be 102 and [94.3 ÷ 102] is equal to 0.9245

Given this confusion, it's safest to assume that the right expression when evaluated, will equal 0.026

Now based on this, 3 options that apply (3 options that mean the same thing or that properly describe the answer from the evaluation) are:

(A) The expression is equivalent to (this is the symbol for 'equivalent to' '≡') 0.026

(D) It is the same as dividing 26 by 1000. 26 divided by 1000 will give you 0.026

(F) It is the same as [26 ÷ 10 ÷ 10 ÷ 10]. Simply put all the 10s as denominators and then divide 26 by the total of the multiplied 10s. That is, 10x10x10 = 1000 then 26÷1000