Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, comma, 992 toys each year.
The world population increased, so they built a new workshop. The new workshop allows them to produce 4{,}134{,}232{,}638{,}9374,134,232,638,9374, comma, 134, comma, 232, comma, 638, comma, 937 toys each year.
Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?
Choose 1 answer:
Choose 1 answer:

The probability that the ace of spades will be revealed before any face card (the jack, queen, or king) is 0.0769.

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events.

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

According to given data;

Let's look at the first few probabilities; we're going to do this in reverse order, in order to find a pattern:

P(O,O,O,AS)=39/52)*(38/51)*(37/50)*(1/49)

                  =(39*38*37/3!)/(52*51*50/3!)*1/49

P(O,O,AS)=(39/3)(52/3)×1/49

        but we know that;

(n/2)=n(n-1)/2!

P,(O,O,AS) =(39/2)/(52/2)  *1/50

P(AS)=(39/0)/(52/0) *(1/52)

We now have

P(AS)+P(O,AS)+P(O,O,AS)+P(O,O,O,AS)

FROM THIS CALCULATE ;

P=0.0769

To know more about probability visit;

https://brainly.com/question/12629667

#SPJ9

Answer:

y = -3x + 5

Step-by-step explanation:

(1, 2) and (4, -7)

(x₁, y₁)       (x₂, y₂)

        y₂ - y₁          -7 - 2           -9

m = ------------- = ------------- = -------- = -3

        x₂ - x₁           4 - 1            3

y - y₁ = m(x - x₁)

y - 2 = -3(x - 1)

y - 2 = -3x + 3

  +2            +2

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

y = -3x + 5

I hope this helps!

Since the ​chi-square 27.385 is greater than 13.388 at the provided critical value level value, the null hypothesis is accepted.

For the given question;

The hypotheses for the goodness of fit test are as follows:

The chi-square test has one tail.

The criterion is as follows:

Thus, the null hypothesis is accepted at the provided level of critical value because the ​chi-square 27.385 is more than 13.388.

To know more about null hypothesis, here

https://brainly.com/question/23413408

#SPJ9

Answer: The answer could be 28 but I need to know what is the length and what is the height.

Step-by-step explanation:

I will just name the points for simplicity:

A - (3, -5)

B - (7, -5)

C - (7, 2)

D - (3, 3)

A to B - 4

B to C - 7

C to D -  4.1231

***

Distance (d) = √(3 - 7)^2 + (3 - 2)^2

= √(-4)^2 + (1)^2

= √17

= 4.1231056256177

***

D to A - 8

4 * 7 = 28

Based on the numbers given in the distribution, the standard deviation can be found to be 1.49

To find the standard deviation, you first have to find the mean of the distribution:

= (0 + 0 + 1 + 1 + 1 + 2 + 2 + 3 + 5 ) / 9

= 15 / 9

= 1.67

You can then find the variance using financial calculators to be:

= 2.2222222

The standard deviation is:

= √variance

= √2.2222222

= 1.49

Find out more on standard deviation at https://brainly.com/question/475676

#SPJ1

Answer:

x^2 + y^ = 36

Step-by-step explanation:

See attached worksheet.

From the situation described, it is found that:

a) The linear function that expresses her monthly cost is:

C(m) = 280 + 0.15m.

b) The slope of the graph of the cost function is of 0.15.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

In the context of the cost function in this problem:

Hence the parameters of the function are given as follows:

m = 0.15, b = 280.

The cost function for a mileage of m miles is, considering the above coefficients, is given by:

C(m) = 0.15m + 280.

With the slope of 0.15 already explained.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The surface area of a cylinder is equal to 208π square units.How to calculate the surface area of right cylinder?The surface area is the sum of the areas of all faces of the solid. In the case of a right cylinder, the surface area is the sum of the two areas of the circular base and the lateral area (A), in square units, whose formula is described below:A = 2π · r² + 2π · r · h           (1)Where:r - Base radiush - HeightIf we know that r = 8 and h = 5, then the surface area of the right cylinder is:A = 2π · 8² + 2π · 8 · 5A = 208πThe surface area of a cylinder is equal to 208π square units.

Answer:

domain: all x-values

Step-by-step explanation:

Answer:

Yeah good job! u got it right :)

Step-by-step explanation:

How to find perimeter?

Frist you will add up all the sides

then thats your answer :)

In this case the same logic applies

Hope this helps :3

Both figures 1 & 2 are similar

Point S in figure 1 corresponds to Point P in fugure 2

Answer:

5 3/5

Step-by-step explanation:

assuming you are dividing fractions, here are your steps

Answer:

19

Step-by-step explanation:

The square value of the measure of hypotenuse is equal to the square measure of sum of two legs.

Let x represent the missing leg:

[tex] {20}^{2} = {7}^{2} + {x}^{2} [/tex]

400 = 49 + x^2 subtract 49 from both sides

351 = x^2 find the root for both sides

The root of 351 is between 18 and 19 but it is closer to 19 since 19×19 = 361 and since we are asked to round to the nearest tenth the answer is 19.

Answer:

Domain: { -5, -1, 1, 3, 4}
Range: { -2, 1, 5}

Step-by-step explanation:
Domain = X-Values

Range = Y-Values

Every possible X-Value is the domain, and likewise with the Range.

Meaning if it was a line that went on forever through Y-1 the the Domain would be X = {-[infinity], +[infinity]} and the range would be Y = {1}

Hope this helps.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}[/tex]

Answer:

870,000

Step-by-step explanation:

Ten thousand is 10,000.

The ten thousand value here is 6

The thousand value here is 7.

Using rounding rules, 5 and up goes up therefore the ten thousand value becomes 7.

867,000 --> 870,000

Hope that helps

The volume of the cereal box is 144 square inches its width is two inches, its length is six inches and its height is 12 inches.

The top, bottom, and lateral faces of a rectangular prism are all rectangles, and all the pairs of opposing faces are congruent. A rectangular prism is a three-dimensional structure with six faces.

The rectangular prism's base area is equal to lw (using the area of a rectangle formula)

The height of the rectangle prism is equal to h.

Thus, V = lw ×h = lwh is the formula for the rectangular prism's volume.

Given,

width = 2 inches

length = 6 inches

height = 12 inches

The volume of a rectangular prism is simply length× width× height.

Volume = 6× 2× 12

= 144 square inches.

Therefore, the volume of the cereal box is 144 square inches.

To learn more about rectangular prism, visit:

https://brainly.com/question/1161424

#SPJ9

The equivalent fraction of 1 2/3 + 1 1/2 is 1 4/6 + 1 3/6

Expressions are mathematical statements that are represented by variables, coefficients and operators.

The fraction expression is given as

1 2/3 + 1 1/2

Express the mixed numbers as improper fractions

So, we have

1 2/3 + 1 1/2 = 5/3 + 3/2

Rewrite as equivalent fractions

1 2/3 + 1 1/2 = 10/6 + 9/6

Express the improper fractions as mixed numbers

So, we have

1 2/3 + 1 1/2 = 1 4/6 + 1 3/6

Hence, the value of the expression is 1 4/6 + 1 3/6

Read more about fractions at

https://brainly.com/question/2929160

#SPJ1

The scale factor for the model of the elephant is 1 : 30 (option A).

A scale drawing is either a smaller or a larger version of an original image. For example, a map is a smaller version of a city, country or area.

A scale factor provides information on the relationship that exists between the scale drawing and the actual image. The scale factor shows the rate of reduction or enlargement of the original image.

Scale factor = actual length of the elephant / length of the elephant in the model

216 / 7.2 = 30

The scale factor is 1 : 30

Please find attached the complete question. To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-14})\qquad (\stackrel{x_2}{h}~,~\stackrel{y_2}{28}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{28}-\stackrel{y1}{(-14)}}}{\underset{run} {\underset{x_2}{h}-\underset{x_1}{(-2)}}} \implies \cfrac{28 +14}{h +2}~~ = ~~\text{\LARGE 6}\implies \cfrac{42}{h+2}=6 \\\\\\ 42=6h+12\implies 30=6h\implies \cfrac{30}{6}=h\implies \boxed{5=h}[/tex]

20% of a 400 liter tank is 80 liters.

Answer: y+5=3/8*(x-4)

Step-by-step explanation: Find the slope using m = y2-y1/x2-x2 which is the change of y over change of x, so the slope is m=3/8. Use the slope 3/8, and a given point (4, -5) to substitute for x1 and y1 in point slope form y -y1 = m(x-x1). So y-(-5)=3/8*(x-(4)). Now we simplify the equation so it's y+5=3/8*(x-4).

By solving the simultaneous equation value of x = -5, -2 and y = 1, 4.

How to solve simultaneous equation?
1. Use the elimination method to get rid of one of the variables.

2. Find the value of one variable.

3. Find the value of the remaining variables using substitution.

Given that,

y = [tex]x[/tex]+3

y = [tex]x^{2} +5x-2[/tex]

First both equation are equal

[tex]x+3 = x^{2} +5x-2\\x^{2} +4x-5 =0\\x^{2} +5x-x-5=0\\x(x+5)-1(x+5)=0\\x=1, -5[/tex]

Then, substitute the value of x in y =x+3

y = x+3

at x= -5

y= -2

at x= 1

y = 1+3

y = 4

Hence, By solving the simultaneous equation value of x = -5, -2 and y = 1, 4.

To learn more about simultaneous equation from the given link:

https://brainly.com/question/148035

#SPJ9

Based on the number of people who are engineers and those who are chemical engineers, the percentage who are chemical engineers is 2.01%

To find the percentage of something out of the total number, the formula is:

= Number of selected variables / Total number of variables x 100%

The selected variable here is chemical engineers so the percentage of chemical engineers out of the total number of engineers is:

= Number of chemical engineers / Total number of engineers x 100%

= 27,860 / 1,326,800 x 100%

= 2.01%

Find out more on percentages at https://brainly.com/question/24304697

#SPJ1

Answer:

x/36 is what you're looking for my guy

Answer:

B. 160 hits

Step-by-step explanation:

544 × .294 = 159.936, which rounds to 160.

The probability that fewer than 3 women will deliver prematurely is 1/20.

So, 10% of 20:

Therefore, the probability that fewer than 3 women will deliver prematurely is 1/20.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ9

The correct question is given below:

A large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. what is the probability that fewer than 3 of them will deliver prematurely?

Answer:

Step-by-step explanation:

The required two odd numbers are 3 and 5.

We have to determine,  It is a factor of 30 and a multiple of 3 what are 2 numbers.

To obtain the factor of 30 and 2 numbers is calculated in the following steps.

The Factors of 30 are,

30 = 2 , 3 , 5 ,

And multiply the terms by 2,

After multiply by 2 all the term become even.

Then,

The 2 odd numbers are: 3, 5

Hence, The required two odd numbers are 3 and 5.