hiroshi borrowed 3 nonfiction books from the library. This was 25% of the books he checked out. how many books did Hiroshi take out?

Answer: 5798

Step-by-step explanation:

Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  [tex]^n C_r p^{r} q^{n-r}[/tex]

[tex]p =[/tex]success rate

[tex]q=[/tex] failure rate

[tex]p+q=1[/tex]

[tex]n=[/tex]Number of trials

[tex]r=[/tex] number of success

According to the question,

Total number of trials [tex]'n' =4[/tex]

Number of success [tex]'r' =1[/tex]

[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]

Substitute the value to get the required probability,

Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]

                   [tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]

                   ≈ [tex]0.4[/tex]

Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

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Answer: 8

Step-by-step explanation: (6)(4)-4^2                                                                 24−4^2                                                                                                                       24−16                                                                                                                         8          

Answer:

a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.

b) see attachment

Answer:

Hell your answer for x is 4 11/14 ( that is what i got)

Step-by-step explanation: K12

Answer:

6 eggs

Step-by-step explanation:

since recipe states that to make 12 muffins you need 2 muffins

2. = 12

represent the unknown with x

2. = 12

x. = 36

Then you'll cross multiply

36 × 2 = 72

12x = 72

x = 72 ÷ 12

x = 6

Answer:

207

Step-by-step explanation:

By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.

When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.

Answer: what ever u said on the answer to one of my questions got deleted lol

Step-by-step explanation:

Answer:

Quadratic

Step-by-step explanation:

Formula: ax^2+bx+c

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

Answer:

How much is each size balloon-?

Step-by-step explanation:

This is impossible to solve-???

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Answer:

Just apply the same method to part B

x:24

5:8

x3 x3

15:24

Answer:

8

7

Step-by-step explanation:

24 purple

green : purple = 1 : 3

g / p = 1/3

g / 24 = 1/3

g = 24/3

g = 8

now abbi put x green crayons into box

now green : purple = 5 : 8

(8 + x) / 24 = 5/8

8 + x = 5/8 * 24

8 + x = 5 * 3

8 + x = 15

x = 15 - 8

x = 7

This one is an interesting question.

Lets solve first the equation by isolation of the unknown x:

6x + 6 +2 = (3k / 5x )+3 +3

6x = (3k/5x) + 6 -6-2

6x = (3k/5x) -2

6x = (3k / 5x) - (10x / 5x)

6x = (3k-10x)/5x

6x*5x = 3k - 10x

30x² = 3k - 10x

30x² + 10x = 3k

30x² + 10x - 3k = 0

This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.

But delta = b² - 4ac where b = 10, a = 30 and c = -3k

So we need to solve delta < 0

100 - 4*30* (-3k) < 0

100 - 120*(-3)*k < 0

100 - (-360)k < 0

100 + 360k < 0

360k < -100

k < -100/360= -10/36

So there is no solution for all k strictly less than -10/36

Good luck

Answer:

34.71%

Step-by-step explanation:

1112-100 percent

386-x percent

x=386*100/1112≈34.71

The percentage of students living with their parents is 34.44%. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.

The percentage of the students who live with their parents will be calculated as,

Percentage = ( 386 / 1120 ) x 100

Percentage = 0.3471 x 100

Percentage = 34.71%

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Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

Answer:

a.)A and B are the intersection between the two curves. The x coordinate is the equation

[tex]f(x) = g(x)[/tex]

Let's solve it

[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]

We can see that if we substitute x= 0 or x= 4 the equation is verified.

b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.

c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]

At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.

[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.

[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]

Which seems close enough from the photo.

c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

Answer: 25%

Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio

1200:4800

then make that into a fraction, 1200/4800

then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.

for example. p/100 (p, represents the percent)

then cross multiply.

1200x100=1200000

Last divide 1200000 by 4800 to get 25%.

Answer:

4!!!

Step-by-step explanation:

brainliest please?

Answer:

4

Step-by-step explanation:

I hope this helps!

Answer:

I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.

Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25

Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25

Bottom row in both cases, the two angles sum up to 90°

Left one: 4x-20+2x-16 = 90 so x = 21

Right one: 2x-30 +x+15= 90 so x = 35

Answer:

Umbrella goes up when rain comes down.

Answer:

Step-by-step explanation:

p = 10x + 2 + 7x - 6 + 8x

p = 25x - 4

Answer:

perimeter = 10x + 2 + 7x - 6 + 8x

= 25x - 4...ans

Step-by-step explanation:

Answer:

The three prizes can be awarded in 6 different ways

Step-by-step explanation:

1. P1 - Book; P2 - Calc; P3 - Card

2. P1 - Book; P2 - Card; P3 - Calc

3. P1 - Calc; P2 - Card; P3 - Book

4. P1 - Calc; P2 - Book; P3 - Card

5. P1 - Card; P2 - Book; P3 - Calc

6. P1 - Card; P2 - Calc; P3 - Book

Answer:

p = 32.317

A = 47.911

Step-by-step explanation:

given ∠A = 60

∠C = 45

AB = 9

From sum of all angles in triangle is 180

∠A + ∠B + ∠C = 180

60 + ∠B + 45 = 180

∠B = 180 - 105 = 75

∠B = 75

from sine rule in ΔABC

AB / sin C = BC / sin A

=> 9 / sin 45 = BC / sin 60

=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]

=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]

BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]

BC = 11.023

length of AC is

AC / sin B = AB / sin C

AC / sin 75 = 9 / sin 45

AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]

= [tex]9\sqrt{2} * sin 75\\12.294[/tex]

perimeter of ΔABC

AB + BC + CA

= 9 + 11.023 + 12.294

= 32.317

Area of ΔABC is

= 1/2 * AB * AC * sin A

= 1/2 * 9 * 12.294 * sin 60

= 1/2 * 9 * 12.294 * √3/2

= 47.911

Using proportions, it is found that the height of the lighthouse is of 84 ft.

The rule of three is:

5.25 feet - 8 feet

x feet - 128 feet

Applying cross multiplication:

[tex]8x = 5.25(128)[/tex]

[tex]x = \frac{5.25(128)}{8}[/tex]

[tex]x = 84[/tex]

The height of the lighthouse is of 84 ft.

A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153

Answer:

θradians sin(θ)

3π/2 -1

Step-by-step explanation:

leave a thanks if helped pls <3

The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,

sin(270°) = sin(3π/2)  = -1

Also, if the trigonometric function is needed to be changed then we can write,

sin(3π/2) = cos(π) = cos(180°) = -1

Hence, the trigonometric function and angle are equivalent to sin(270°).

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Answer:

$1,353 a year $16,256 total paid 12 years

Answer:

Step-by-step explanation:

The entered points belong to an increasing, linear function.

Equation: y = 1x + 4.

Check B

(-3,0) and (0,-3)

Find slope

It has y intercept (0,-3)

Check A

(3,0) and (0,3)

Option A is correct

Answer:

A

Step-by-step explanation:

Positive slope:  as the x-value increases, the y-value increases.

Negative slope:  as the x-value increases, the y-value decreases.

The slope of the graph is -1

As it has a negative sign, the graph has a negative slope.  

As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.

The line passes through (0, 3)

When the x-value is zero, the line intercepts the y-axis.  

Therefore, the line will intercept the y-axis when y = 3.

Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.

[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]

The value of x is equal to 127 degrees.

Data;

To find the angle x which is related to angle 233 to form the outer angle 53, the equation

[tex]\frac{1}{2} (233 - x) = 53[/tex]

We can proceed to solve for x by simplifying the equation which will give us

[tex]\frac{1}{2}(233-x) = 53\\2 * 53 = 233 - x\\106 = 233 - x\\x = 233 - 106\\x = 127^0[/tex]

The value of x is equal to 127 degrees.

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Answer:

Step-by-step explanation:

just took the quiz