Write an equation for 15 is 15% of what number? Use x for your variable

Answer:

1742 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single light:

Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]

The probability is 0.20 that the sample mean lifetime is more than how many hours?

This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84

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

By the Central Limit Theorem

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

[tex]0.84 = \frac{X - 1700}{50}[/tex]

[tex]X - 1700 = 50*0.84[/tex]

[tex]X = 1700 + 50*0.84[/tex]

[tex]X = 1742[/tex]

Answer:

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Step-by-step explanation:

As the given Augmented matrix is

[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 1 :

[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 2 :

[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]

Step 3 :

[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]

Step 4 :

[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]

Step 5 :

[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]

Step 6 :

[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]

∴ we get

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

answer is x =-8

hope that helps^^

Answer:

this is clear that answer

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

-11

Step-by-step explanation:

m²+12q

= (5)² + 12(-3)

= 25 -36

= -11

Answer:

D

Step-by-step explanation:

180-152= 28°

4x+6x-8+28=180

10x=160

x=16°

kjl= 6x-8= 88°

Answer:

4

Step-by-step explanation:

subtract negative 4 by negative 8

Answer:

Step-by-step explanation:

Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles

5 * [tex]\frac{3}{5}[/tex]

Answer

Step-by-step explanation:

is Each circle represents : 3/2 and 5 circles

Answer:

The difference between the greatest and smallest rational number   [tex]=\frac{3}{20}[/tex]              

Step-by-step explanation:

Step(i):-

Given that the rational numbers

[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]

we have to find that the difference between the greatest and the smallest rational numbers

solution:-

The greatest rational number  =  [tex]\frac{11}{20}[/tex]

Convert into decimal = 0.55

The smallest rational number = [tex]\frac{2}{5}[/tex]

Convert into decimal = 0.4

The difference between the greatest and smallest rational number

                     [tex]= \frac{11}{20} - \frac{2}{5}[/tex]

                     = [tex]\frac{11-8}{20}[/tex]

                    [tex]=\frac{3}{20}[/tex]

Final answer:-

The difference between the greatest and smallest rational number     [tex]=\frac{3}{20}[/tex]

Answer:

19%

Step-by-step explanation:

Answer: it's b on edge

Step-by-step explanation:

x<=4

x is less than or equal to four

children less than or equal to four can ride the train for free

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

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Answer:

The answer would be 0.05

Step-by-step explanation:

This is because it is PER Cent so 5% is 0.05 of 1

Answer:

1/20 and 0.05

Step-by-step explanation:

Answer:

Image attached

Step-by-step explanation:

Just wandering, no hate, you can post answers on brainly but can't read an analog clock.

BTW I've got one in my house

Answer:

I dont kn0w try g00gle searches

Answer:

B. M(t)= 5240+240t

Step-by-step explanation:

cause

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Answer: D. 15 square root with 3 inside

Step-by-step explanation:

Just try it

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  c = 6√2

  d = 12

Step-by-step explanation:

The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.

The hypotenuse of an isosceles right triangle is √2 times the side length, so ...

  d = c√2 = (6√2)(√2) = 6·2

  d = 12

__

If you don't believe that, you can always use the Pythagorean theorem to find d:

  d^2 = (6√2)^2 +c^2

  d^2 = 72 +72 . . . . . . . . . since c=6√2

  d = √144

  d = 12

Answer:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Step-by-step explanation:

Given

[tex]t= thickness[/tex]

[tex]h =height[/tex]

From the first statement, we have that:

[tex]t\ mm \ge 0.1 * h\ cm[/tex]

Convert mm to cm

[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]

[tex]t\ *0.1 \ge 0.1 * h[/tex]

Divide both sides by 0.1

[tex]t \ge h[/tex]

From the second statement, we have that:

[tex]Cost \le 12.2[/tex]

Substitute 0.2 + t + 0.5h for Cost

[tex]0.2 + t + 0.5h \le 12.2[/tex]

Collect Like Terms:

[tex]t + 0.5h \le 12.2-0.2[/tex]

[tex]t + 0.5h \le 12.0[/tex]

So, the inequalities are:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Answer: it's a, the answer

Step-by-step explanation:

Answer:

[tex]y = - \frac{4}{5} x + 3[/tex]

Step-by-step explanation:

[tex]b = 3[/tex]

[tex] - 2 = 4a + 3[/tex]

[tex]a = - \frac{4}{5} [/tex]

Answer:

3.75

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:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

Answer:

3.75

Step-by-step explanation:

Answer:

£212.5

Step-by-step explanation:

15% of 250 = 37.5

250 - 37.5 = 212.5

Answer:

?????????

Step-by-step explanation:

wheres the equation

Answer:

1.268 cups

Step-by-step explanation:

60 G=0.2536 cups  (I found a G to cup converter on the internet)

0.2536x5=1.268 cups of paint it would mix with at a 1 to 5 ratio