Expresa de. Forma fraccionaria y decimal 7%

Answers

Answer 1

Answer:

7% = .07 = [tex]\frac{7}{100}[/tex]

Step-by-step explanation:


Related Questions

Solve for x

(x-5) ²+5 =49

Answers

Answer:

x = 5±2 sqrt(11)

Step-by-step explanation:

(x-5) ²+5 =49

Subtract 5 from each side

(x-5) ²+5-5 =49-5

(x-5) ² =44

Take the square root of each side

sqrt((x-5) ²) =±sqrt(44)

sqrt((x-5) ²) =±sqrt(4*11)

x-5 = ±2 sqrt(11)

Add 5 to each side

x-5+5 = 5±2 sqrt(11)

x = 5±2 sqrt(11)

Answer:

[tex]\left(x-5\right)^2+5=49[/tex]

Subtract 5 from both sides

[tex]\left(x-5\right)^2+5-5=49-5[/tex]

[tex]\left(x-5\right)^2=44[/tex]

[tex]x-5=\sqrt{44}[/tex]

[tex]44=2^{2} \times11[/tex]

[tex]x-5=\sqrt{11} \sqrt{2^{2} }[/tex]

Radical rule:- [tex]\sqrt[n]{a^{n} } =a[/tex]

[tex]x-5=2\sqrt{11}[/tex]

Add 5 to both sides

[tex]x=2\sqrt{11}+5[/tex]

-------

[tex]x-5=-2\sqrt{11}[/tex]

Add 5 to both sides

[tex]x-5=-2\sqrt{11}[/tex]

Ans: [tex]x=2\sqrt{11}+5,\:x=-2\sqrt{11}+5[/tex]

OAmalOHopeO

If we add one unit to the length (l) of a rectangle that has width (w), what is its new area (NA) in terms of its old area (A)?
NA = A x w
NA = A + w
NA = A + l
NA = A

Answers

NA = A + W

By adding one unit to length, we increase the overall area by the width of the rectangle. This is because the formula for the area of a rectangle is A = l x w. So, NA = (l + 1) x w = (l x w) + w = A + w.

Factor the following

9t^2-42t+49

Answers

Answer:

  (3t -7)²

Step-by-step explanation:

We know that the square of a binomial is ...

  (a -b)² = a² -2ab +b²

So, when we see the first and last terms are both perfect squares, we suspect that the trinomial is a perfect square trinomial.

  9t² = (3t)²

  49 = 7²

  -42t = -2(3t)(7) . . . . confirming we have a perfect square

The factorization is ...

  (3t -7)²

Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the sample mean?
Choose the correct answer below.
A. 15.0 mm
B. 52.5 mm
C. 7.5 mm
D. Somewhere between 45mm and 60mm, but the exact value cannot be determined without more information.

Answers

Answer:

I cannot understand this question

Step-by-step explanation:

I don't know what is in the question

give ABCD is a trapizod , Ab = 13, CD= 14, BC = 15, and AD = 20 what is the area

Answers

Step-by-step explanation:

A=140sq. units

Step-by-step explanation:

ABCD

A=13

B=15

C=14

D=20

C=14×14

=196sqr.units

Find x on this special right triangle

Answers

Answer:

the ans is 45⁰ BC it is a right angle

Step-by-step explanation:

Is this a trigonometry ratio

A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight density of water is 62.4 lb ft 3 lb/ft^3. Calculate the work required to pump all of the water out over the top.
___________ ft-lb

Answers

9514 1404 393

Answer:

  491,400 ft·lb

Step-by-step explanation:

The mass of the water is ...

  M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb

The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.

  W = (3 ft)(163,800 lb) = 491,400 ft·lb

I want to know how to solve this equation

Answers

Answer:

B

Step-by-step explanation:

5³.5^×

simply means

5³×5^×

using indices rule,

multiplication is addition

5 is common

so 5(³+×)

hence 5^3+×

Which of the following is an example of a sample that would NOT be random?

A. Going through the list and choosing the first 25 names on the list.
B. Writing each student’s name on a card and then drawing out 25 names without looking.
C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names.
D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Answers

Answer: D

"Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group."

Step-by-step explanation:

You are sampling an equal amount of boys and girls since your getting an equal sample of each gender. (Not random)

The option that is not a random sample is:

Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Option D is the correct answer.

What is random sampling?

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

We will see which option is a sample that is not random.

A. Going through the list and choosing the first 25 names on the list.

Going through the list means every name has an equal chance of getting chosen.

This is a random sample.

B. Writing each student’s name on a card and then drawing out 25 names without looking.

Since we are drawing out 25 names without looking, all the students' names have an equal chance of getting drawn.

This is a random sample.

C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names.

Choosing one student at random means every student has an equal chance of getting chosen.

This is a random sampling.

D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

The students are separated into boys and girls and the sample is chosen from each group so we are selecting the sample from the separated group.

This can not be a random sampling.

Thus,

The option that is not a random sample is:

Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.

Option D is the correct answer.

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Bianca is planting trees along her driveway, and she has 55 sycamores and 55 palm trees to plant in one row. What is the probability that she randomly plants the trees so that all 55 sycamores are next to each other and all 55 palm trees are next to each other

Answers

Answer:

0.0079 = 0.79% probability that she randomly plants the trees so that all 5 sycamores are next to each other and all 5 palm trees are next to each other.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The trees are arranged, so, to find the number of outcomes, the arrangements formula is used.

Arrangements formula:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

Desired outcomes:

5 sycamores(5! possible ways) and then the 5 palm trees(5! possible ways)

5 palm trees(5! possible ways) then the 5 sycamores(5! possible ways).

[tex]D = 2*5!*5![/tex]

Total outcomes:

Arrangements of 10 plants, so:

[tex]T = 10![/tex]

What is the probability that she randomly plants the trees so that all 5 sycamores are next to each other and all 5 palm trees are next to each other?

[tex]p = \frac{D}{T} = \frac{2*5!*5!}{10!} = 0.0079[/tex]

0.0079 = 0.79% probability that she randomly plants the trees so that all 5 sycamores are next to each other and all 5 palm trees are next to each other.

Determine the remaining sides and angles of the triangle ABC.
c=6 mi, B = 38.71°, C = 32.51°
Find the measure of angle A.
A=°
(Type an integer or a decimal.)
Find the length of side a.
а:
mi
(Round to the nearest mile as needed.)
Find the length of side b.
b=mi
(Round to the nearest mile as needed.)

Answers

9514 1404 393

Answer:

  A = 108.78°

  a = 11 mi

  b = 7 mi

Step-by-step explanation:

The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -38.71° -32.51°

  A = 108.78°

__

The remaining sides can be found from the law of sines.

  a/sin(A) = c/sin(C)

  a = sin(A)·c/sin(C) ≈ 0.946762 × 11.163896

  a ≈ 11 mi

  b = sin(B)·11.163896 ≈ 0.625379 × 11.163896

  b ≈ 7 mi

find the area of the triangle and round to the nearest tenth

Answers

Answer: 73.5mi²

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×14×10.5

= 7×10.5

=73.5mi²

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Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) is R(P) = - 8p^2 + 24,000p. What unit
price should be established for the dryer to maximize revenue? What is the maximum revenue?
The unit price that should be established to maximize revenue is $|
(Simplify your answer.)

Answers

Here we have a problem of maximization and quadratic equations.

The unit prize that maximizes the revenue is $1,500, and the maximum revenue is $18,000.

We know that the revenue equation is:

R(P) = - 8p^2 + 24,000p

Where the variable p is the price.

Now we want to find the value of p that maximizes the revenue.

To do it, we can see that the revenue equation is a quadratic equation with a negative leading coefficient.

This means that the arms of the graph will go downwards, then the maximum point of the graph will be at the vertex.

Remember that for an equation like:

y = a*x^2 + b*x+ c

The x-value of the vertex is at:

x = -b/(2*a)

Then for the equation:

R(P) = - 8p^2 + 24,000p

The vertex is at:

p = -(24,000)/(2*-8) = 1,500

The value of p that maximizes the revenue is p = $1,500

To get the maximum revenue, we need to evaluate the revenue equation in that p value.

R(1,500) =  - 8*(1,500)^2 + 24,000*1,500 = 18,000

And the revenue equation is in dollars, then the maximum revenue is 18,000 dollars.

If you want to learn more, you can read:

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p = 1500  $    the unit price

R(p) = 18000000 $ maximum revenue

We will use two different procedures to calculate the maximum revenue.

That is equivalent to solve the problem and after that to test the solution

The first one is:

R(p) = - 8*p² + 24000*p

we realize that R(p) is a quadratic function ( a parabola) of the form:

y = a*x² + b*x + c    ( c = 0 in this case)

We also know that  as the coefficient of p² is negative the parabola opens downwards then the vertex is a maximum value for R(p), and the x coordinate of p is:

x = p =  - b/2*a   then by substitution

p = - ( 24000)/ 2 ( - 8)

p = 1500  $   and for that value of p

R(p) = - 8 ( 1500)² + 24000* (1500)  = - 18000000 + 36000000

R(p) = 18000000 $

The second procedure is solving with the help of derivatives.

R(p) =  - 8*p² + 24000*p

Tacking derivatives on both sides of the equation we get:

R´(p) = -16p  +  24000

If R´(p) = 0    then    -16p  +  24000 = 0

p = 24000/ 16         p  =  1500

if we check for the second derivative

R´´(p) = -16          -16 < 0  therefore there is a maximum value for R(p) when p = 1500, and that value is:

By substitution in R(p)

R(p) = -8 *(1500)² + 24000* 1500

R(p) =  - 18000000 + 36000000

R(p) = 18000000 $

3. What is the length of a rectangle with a width of 1.2 m and an area of 2.4 m2 m ?​

Answers

Step-by-step explanation:

area=length×width

2.4=x×1.2

1.2x=2.4

x=2.4÷1.2

x=2

therefore width = 2cm

The length of the rectangle is 2 meters.

We have,

Width of rectangle= 1.2m

Area of rectangle = 2.4 m²

To find the length of a rectangle when given its width and area, you can use the formula:

Length = Area / Width

So, the length rectangle

Length = 2.4 m² / 1.2 m

Length = 2 meters

Therefore, the length of the rectangle is 2 meters.

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Please help explanation if possible

Answers

Answer:

17.3

Step-by-step explanation:

14.4 x 1.2

= 17.28

= 17.3 ( approximately )

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area. In a survey of 100 viewers, 26% indicated that they watch the late evening news on this local Fox station. What is the null hypothesis

Answers

Answer:

The null hypothesis is [tex]H_0: p = 0.31[/tex]

Step-by-step explanation:

Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area.

From the claim, we get the expected proportion, that is, the value tested at the null hypothesis. Thus, at the null hypothesis, we test if the proportion is of 31%, that is:

[tex]H_0: p = 0.31[/tex]

find the HCF of 72,108 and 180​

Answers

Answer:

36 is the answer

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

72: 2×2×2×3×3

108: 2×2×3×3×3

180: 2×2×3×3×5

here, common factors are 2,2,3 and 3 ..

so.. HCF: 2×2×3×3

•°•HCF=36 ..

A rational expression is​ _______ for those values of the​ variable(s) that make the denominator zero.

Answers

9514 1404 393

Answer:

  undefined

Step-by-step explanation:

A rational expression is undefined when its denominator is zero.

I do not understand this and could use help it needs the work shown

Answers

Answer:

a = 9

Step-by-step explanation:

The given trinomial is :

[tex]x^2-6x+\_\_\__[/tex]

let the blank is a.

So, we need to find the value of a so that it results in a perfect square trinomial.

We know that, [tex](m-n)^2=m^2-2mn+n^2[/tex]

So,

[tex]x^2-6x+a=x^2-2(1)(3)+3^2\\=(x-3)^2[/tex]

So, the value of a is 9. If a is 9, then only it would be a perfect square trinomial.

The volume of the cylinder is V=1/3r^2h, where r is the radius and h is the height. if the radius of a cylinder is 3 inches and the height is 8 inches, which answer below best estimates it’s volume?

Answers

Answer:

75 inches

Step-by-step explanation:

with this we use change of subject

V=1/3

Pie=3.14

radius =3

height =8

so therefore

V=1/3 ×3.14×3×3×8

V=75.36

Translate and solve: five less than z is 4

Answers

z -5 =4

neutralize the left -5 by adding 5 on both sides

z -5 (+5) = 4 (+5)

z = 9

How do you multiply 123 x 62?

Answers

Answer:

(123)(62)=x

Step 1: Simplify both sides of the equation.

7626=x  

Step-by-step explanation:

Have a good day.

Answer:7,626

Step-by-step explanation:The easiest way I do it is by taking the numbers and putting them under each other like this

123

 62

then take the number 2 for example and multiply it by 3 then 20 then 100 and do the same with the 6=60 and heres how I solve it

2 x 3=6      2 x 20=40     2 x 100=200       60 x 3=180     60 x 20=1,200    60 x 100=6,000 now take all the numbers and add them

6+40+200=246

180+1,200+6,000=7,380

7,380+246=7,626

(if this helps in anyway feel free to put brainiest but thats your choice) :) happy to help.

Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800

Answers

Answer:

C. 10,080

Step-by-step explanation:

We can multiply to find how many minutes there are in 1 day.

24 * 60 = 1,440

Now, we can multiply that value by 7 to find out how many minutes there are in 1 week.

1,440 * 7 = 10,080

Best of Luck!

There are C. 10,080 minutes in a week

We are again studying the times required to solve two elementary math problems. Suppose we ask four students to attempt both Problem A and Problem B. Assume the students are independent and all results are normally distributed, but note that a particular student's times on the two questions are likely to be positively correlated. The results are presented below (in seconds).
student Problem A Problem B
1 20 35 2 30 40 2 3 15 20 4 40 50
Again find a two-sided 95% CI for the difference in the means of A and B.

Answers

Answer:

(-16.494 ; -3.506)

Step-by-step explanation:

student Prob A Prob B difference, d (A-B)

1 20 35____ - 15

2 30 40 ___ - 10

3 15 20 ___ - 5

4 40 50 __ - 10

Difference, d = -15, -10, -5, -10

Xd = Σd/ n = - 40 / 4 = - 10

Standard deviation of d ; Sd = 4.082

The confidence interval for the difference is given as :

Xd ± Tcritical*(Sd/√n)

Tcritical at 95%; df = n - 1 ; 4 - 1 = 3

Tcritical(0.05, 3)). = 3.182

C.I = -10 ± 3.182(4.082/√4)

C.I = -10 ± 6.494462

C. I = (-16.494 ; -3.506)

Assume that x and y are both differentiable functions of t. Find dx/dt when x=11 and dy/dt=-4 for the equation xy=99 .

Answers

Differentiating both sides of

xy = 99

with respect to t yields

x dy/dt + y dx/dt = 0

When x = 11, we have

11y = 99   ==>   y = 9

and we're given that dy/dt = -4 at this point, which means

11 (-4) + 9 dx/dt = 0   ==>   dx/dt = 44/9

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 83 months with a variance of 81. If the claim is true, what is the probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors? Round your answer to four decimal places.

Answers

Answer:

0.9922 = 99.22% probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors.

Step-by-step explanation:

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

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 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 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

The production manager claims they have a mean life of 83 months with a variance of 81.

This means that [tex]\mu = 83, \sigma = \sqrt{81} = 9[/tex]

Sample of 146:

This means that [tex]n = 146, s = \frac{9}{\sqrt{146}}[/tex]

What is the probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors?

This is 1 subtracted by the p-value of Z when X = 81.2. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{81.2 - 83}{\frac{9}{\sqrt{146}}}[/tex]

[tex]Z = -2.42[/tex]

[tex]Z = -2.42[/tex] has a p-value of 0.0078.

1 - 0.0078 = 0.9922.

0.9922 = 99.22% probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors.

Which of the following will result in a rational answer? multiplying pi by a fraction. adding the square root of a non perfect square to a whole number. adding the square root of a perfect square to pi. multiplying a fraction by a repeating decimal.

Answers

Correct option is "multiplying a fraction by a repeating decimal."

Explanation:

Since multiplying a fraction is a rational and repeating decimal is also rational, therefore, it's result is also rational.

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Find the value of x.

Answers

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]

The consumer price index (CPI), issued by the U.S. Bureau of Labor Statistics, provides a means of determining the purchasing power of the U.S. dollar from one year to the next. Using the period from 1982 to 1984 as a measure of 100.0, the CPI figures for selected years from 2002 to 2016 are shown here. Year Consumer Price Index 2002 179.9 2004 188.9 2006 201.6 2008 215.3 2010 218.1 2012 229.6 2014 236.7 2016 240.0 E. To use the CPI to predict a price in a particular year, we can set up a proportion and compare it with a known price in another year, as follows. price in year A index in year A price in year B index in year B​

Answers

‏An object travels for 3 s at an average speed of 10 m/s and then for 5 s at an average speed of 15 m/s , The average speed over the 8 s period is Select one : a . 12.5 m/s * b . 13.125 m/s O c. 105 m/s d. 3.125 m/s

5/root 7 - root 3 +1/root 7+ root 3

Answers

[tex]\\ \sf\longmapsto \frac{5}{ \sqrt{7} - \sqrt{3} } + \frac{1}{ \sqrt{7} + \sqrt{3} } \\ \\ \sf\longmapsto \frac{5( \sqrt{7} + \sqrt{3} ) + 1 (\sqrt{7} - \sqrt{3} )}{( \sqrt{7} - \sqrt{3} )( \sqrt{7} + \sqrt{3} )} \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + 5 \sqrt{3} + \sqrt{7} - \sqrt{3} }{( { \sqrt{7} )}^{2} - ( \sqrt{3}) {}^{2} } \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + \sqrt{7} + 5 \sqrt{3} - \sqrt{3} }{7 - 3} \\ \\ \sf\longmapsto \frac{6 \sqrt{7} + 4 \sqrt{3} }{4} [/tex]

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