help lol solve for x

Answer:

The area is 0.0316

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using 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

Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14

Below z = -2.16 or Above z = 2.14

Below z = -2.16

z = -2.16 has a pvalue of 0.0154, which means that this area is 0.0154

Above z = 2.14

z = 2.14 has a pvalue of 0.9838, which means that this area is 1 - 0.9838 = 0.0162

Total:

0.0154 + 0.0162 = ​0.0316

The area is 0.0316

Step-by-step explanation:

88/7 units

Answer:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Step-by-step explanation:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Answer:

$11468.52

Step-by-step explanation:

Given data

Principal= $6,082

Rate= 5%

time= 13 years

The expression for compound interest is

A= P(1+r)^t

substitute

A=6082(1+0.05)^13

A=6082(1.05)^13

A=6082*1.885649

A=11468.52

Hence the Amount is $11468.52

Answer:

[tex](f/g)x = \frac{x-1}{5x - 2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x - 1[/tex]

[tex]g(x) = 5x - 2[/tex]

Required

(f/g)x

In functions:

[tex](f/g)x = \frac{f(x)}{g(x)}\ \ \ g(x)\ne 0[/tex]

So:

[tex](f/g)x = \frac{x - 1}{5x - 2}[/tex]

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

x=28

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

X = 28

Answer:

163.5625 or 163.56

Step-by-step explanation:

Answer:

163.5625

Step-by-step explanation:

Answer:

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Step-by-step explanation:

To solve this question, we should understand the exponential distribution and conditional probability.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The average waiting time for this distribution is 38 minutes.

This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]

Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?

Event A: Taking more than 37 minutes.

Event B: More than 37 + 41 = 78 minutes.

Probability of taking more than 37 minutes:

[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]

More than 37 minutes and more than 78 minutes:

The intersection is more than 78 minutes, so:

[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Answer:

Slope: -1

Step-by-step explanation:

(0, -2) and (1, -3)

m= (y2-y1)/(x2-x1)

m= (-3+2)/(1-0)

m= (-1)/(1)

m = -1

Answer:

The answer would be C. 5

Step-by-step explanation:

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

0.9778

0.606

Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

P(Z < - 0.327) = 0.3718

Between 700 and 850

P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

Answer:

The 32th term is 127.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same. The general equation for an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which d is the common difference.

It can also be written as:

[tex]a_n = a_m + (n - m)d[/tex]

75th term is equal to 342, and the 4th term, 24, is equal to - 13.

This means that [tex]a_4 = -13, a_75 = 342[/tex]. We use this to find d. So

[tex]a_{75} = a_4 + (75 - 4)d[/tex]

[tex]342 = -13 + 71d[/tex]

[tex]71d = 355[/tex]

[tex]d = \frac{355}{71}[/tex]

[tex]d = 5[/tex]

Find the value of the 32th term:

[tex]a_n = a_m + (n - m)d[/tex]

[tex]a_{32} = a_{4} + (32 - 4)d[/tex]

[tex]a_{32} = -13 + 28(5) = -13 + 140 = 127[/tex]

The 32th term is 127.

24 divided by 12 equals 2,083

The division of 25 by 12  gives the quotient 2 and remainder is 1.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 25 by 12.

The division is as follow:

                            12| 25 | 2

                                  24

                              ______

                                   1

Thus the Quotient is 2 and remainder is 1.

Learn more about Division here:

brainly.com/question/21416852

#SPJ5

Answer:

The mean of K is 180 calories.

Step-by-step explanation:

Mean of a sum of normal distribution:

The mean of a sum of normal distributions is the sums of the mean.

In this question:

Lunch:

One ounce of chicken sandwich, with mean 110 calories.

Half a cup of lemonade, with mean 140/2 = 70 calories.

Let K be the random variable that represents the total number of calories in this lunch. The mean of K is

110 + 70 = 180 calories

The mean of K is 180 calories.

Answer:

29 x 56 = 1,624

Step-by-step explanation:

Answer:

Only 2

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

treat the sign as if it was an equal sign

then you would solve for x

2x < 6

x < 3

however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples

Answer:

G

Step-by-step explanation:

Given:

The equation of parallel line is [tex]y=6[/tex].

The line contains the point (-1,1).

To find:

The equation of the line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The equation of parallel line is

[tex]y=6[/tex]

It can be written as

[tex]y=(0)x+6[/tex]

The slope of this line is 0.

The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=0(x-(-1))[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Therefore, the equation of the required line is 1.

Answer: 14x,4+4x ^2-3x

Step-by-step explanation:

1. Simplify  6x\times 26x×2  to  12x12x.

2x+12x,10+4{x}^{2}-3x-6

2x+12x,10+4x  

2

−3x−6

2 Simplify  2x+12x2x+12x  to  14x14x.

14x,10+4{x}^{2}-3x-6

14x,10+4x  

2

−3x−6

3 Collect like terms.

14x,((10-6)+4{x}^{2}-3x)

14x,((10−6)+4x  

2

−3x)

4 Simplify  (10-6)+4{x}^{2}-3x(10−6)+4x  

2

−3x  to  4+4{x}^{2}-3x4+4x  

2

−3x) Hope that helps

Answer:

94697330

Ur welcome

Step-by-step explanation:

Answer:

94,697,330

Explanation:

[tex]1235 x 76678 = 94697330[/tex]

Answer:

triangle and conceit is the total and correct

Answer:

D) 111

Step-by-step explanation:

Internal Alternate angle thm states 111 and x are equal:

? = 111

Answer:

D

Step-by-step explanation:

its the same as the angle that was given to you

Answer:

hereeeeeeeeeeee

Answer:

8

Step-by-step explanation:

i dont know set by step but m brother give me the answer he is in high school

Answer:

∠1 and ∠6

Step-by-step explanation:

Supplementary angles are two or more angles added together make 90°.

Right angles indicated by the small square at the corners.

∠2 and ∠5 are right angles.

So, any pair with ∠2 and ∠5 are not supplementary.

The only pair of angles that are not associated with ∠2 and ∠5 is: ∠1 and ∠6.

Answer:

45 teaspoons of baking powder

Step-by-step explanation:

Let x = amt of baking powder needed.

2/240 = x/540

240x = 1080

x = 45 teaspoons of baking powder

The principal was $600.

Explanation:

Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $72, i = 4% and t = 3 years, so

Answer: 173,200

Step-by-step explanation:

This is very simple and I can help with this!!

Interest= Principal x Rate x Time

Interest = ($400)($72)(6)= 172,800+400= 173,200