Find the value of x.
(will give brainliest to correct answer)
30°
15x

A. 4

B. 2

C. 12

D. 10

Answer:

B

Step-by-step explanation:

Answer:

45/50= 9/10

Step-by-step explanation:

If 5 packs were left after the sale, then 50-5=45 is the number of packs sold

Then the fraction sold would be the number of packs sold divided by the total number of packs.

45 sold/50 total

Answer:

0.2916 = 29.16% probability that one of them is pre-diabetic

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. 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.

10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.

This means that [tex]p = 0.1[/tex]

Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

This is P(X = 1) when n = 4. So

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

[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]

0.2916 = 29.16% probability that one of them is pre-diabetic

Answer:

5x - 8 < 37 and x < 9

Step-by-step explanation:

again, sorry if it's wrong.

5x - 8 < 37

    +8   +8

5x < 45

----   -----

5     5

x < 9

Answer:

Step-by-step explanation:

2 1/3

Answer:

Almost the same way you normally find it! :D

Step-by-step explanation:

To get the GCF multiply all common factors. You can use the greatest common factor to simplify fractions. A ratio is an expression that tells us the quotient of two numbers

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

Answer:

0.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

0.06 divided by 0.60 = 0.1

Answer:

[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

*Note:

This is a known derivative (apply trigonometric differentiation).

Step 1: Define

Identify

[tex]\displaystyle y = sech(u)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

the answer is D. 30

Step-by-step explanation:

I got it wright

Answer:

7

Step-by-step explanation:

Answer: x= 3.5 is -2. The mean is 6.5.

z score to the left is 2

Step-by-step explanation:

X is a normally distributed random variable with μ=6.5 (mean) and σ=1.5 (standard deviation). To calculate the z-score,

z=x−μσ=3.5−6.51.5=−31.5=−2

This means that x=3.5 is two standard deviations (2σ) below or to the left of the mean. This makes sense because the standard deviation is 1.5. So, two standard deviations would be (2)(1.5)=3, which is the distance between the mean (μ=6.5) and the value of x (3.5).

Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

--------------------------------

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is from the mean, above or below.  

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.5 - 6.5}{1.5}[/tex]

[tex]Z = -2[/tex]

The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.

A similar problem is given at https://brainly.com/question/13383035

Answer: B.60

Step-by-step explanation:

9 divided by 15%=60

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

Answer:

r = 1 , 0

Step-by-step explanation:

-7[tex]r^{2}[/tex] + 7r + 2 = 2

-7r(r-1)=2-2

-7r(r-1)=0

r-1=0

r=1

Answer:

a = 1.8 to the nearest tenth.

Step-by-step explanation:

Remark

I don't think this case is ambiguous. It has only 1 solution, I think.

Step One

Find the top angle.

All triangles have 180 degrees.

15 + 105 + x = 180

120 + x = 180                     Subtract 120 from both sides

x = 180 - 120

x = 60

Step Two: Find a

a/sin(60) = 2/Sin(105)       Multiply both sides by sin(60)

a = 2 *  Sin(60) / sin(105)

a = 2 * .8660 / 0.9659

a = 1.793

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

Answer:

1/4

Step-by-step explanation:

Answer:

(x - 7) (x - 3)

Step-by-step explanation:

Did u want the actual answer? Cuz if u do I could do that too, jus lemme kno

Answer:

( X - 7)  (X-3)

9514 1404 393

Answer:

  8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

  x + y = 21 . . . . . their sum is 21

  y = 4x -19 . . . . .one is 19 less than 4 times the other

__

Substituting for y in the first equation, we get ...

  x + (4x -19) = 21

  5x = 40 . . . . . . . . . add 19

  x = 8 . . . . . . . . . . . divide by 5

  y = 4(8) -19 = 13

The two numbers are 8 and 13.

Answer:

2 1/3 hours

Step-by-step explanation:

7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3

Answer:

[tex]y = 6(2^{x} )[/tex]

Step-by-step explanation:

Let

[tex]y = kb^{x}[/tex]

When x = 0, y = 6.  So, [tex]6 = kb^{0}[/tex] = k(1 ) = k

Since k = 6 we have [tex]y = 6b^{x}[/tex]

When x = 1, y = 12.  

So [tex]12 = 6b^{1} = 6b[/tex]

b = 2

Therefore, the exponential function is  [tex]y = 6(2^{x} )[/tex]

Answer:

Step-by-step explanation:

Given

Substitute the values to verify which is correct

A. (-1, -5)

B. (1, -5)

C. (2, 3)

D. (2, -2)

Answer:

we have

y>2x-3

now

For

A. (-1,-5)

-5>-2-3

-5>-5

It is equal. So false.

B. (1,-5)

-5>2-3

-5>-1

-1 is not greater than -5

So false

For

C. (2,3)

3>2-3

3>-1

3 is greater than -1

So True

For

D. (2,-2)

-2>2-3

-2>-1

-2 is not greater than -1

So false

Answer:

There were 56 different choices for the five locations to apply the new ointment.

Step-by-step explanation:

The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.

Combinations formula:

[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]

How many different choices were there for the five locations to apply the new ointment

Five locations from a set of 8. So

[tex]C_{8,5} = \frac{8!}{5!(8-5)!} = 56[/tex]

There were 56 different choices for the five locations to apply the new ointment.

Answer:

option B : X=2

Step-by-step explanation:

Because the line U touches on X:2