Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and
earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the
$25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other.
Express all probabilities as percentages to two decimal places, and express differences by number of percentage points
(for example, 23% is 5 percentage points greater than 18%).
a The situation involving the food establishment has a probability 11.14 percentage points higher
than the situation involving the financial establishment
b. The situation involving the financial establishment has a probability 12.03 percentage points
higher than the situation involving the food establishment
c. The situation involving the food establishment has a probability 2.08 percentage points higher
than the situation involving the financial establishment
d. The situation involving the financial establishment has a probability 4.99 percentage points
higher than the situation involving the food establishment

Answer:

the probability is 1.01

Answer:  [tex]\frac{219}{100}[/tex]

======================================================

Explanation:

Think of [tex]2.19[/tex] as [tex]\frac{2.19}{1}[/tex] or [tex]\frac{2.19}{1.00}[/tex]

This works because dividing anything over 1 does not change the original number.

Then we can move the decimal point two spots to the right for each number

Therefore, [tex]2.19 = \frac{219}{100}[/tex]

Using scientific notation, it is found that the number in standard notation is represented by:

[tex]74.94 \times 10^3 = 74940[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the number is given by:

[tex]74.94 \times 10^3[/tex]

Hence, applying the multiplication, we have that:

[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]

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Answer:

7.53

3.5 + 0.02 = 3.52

11 + 0.05 = 11.05

11.05 - 3.52 = 7.53

Answer:

[tex]\huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

Step-by-step explanation:

[tex]a = 12 \sin 30 \degree \\ \\ \implies \: a = 12 \times \frac{1}{2} \\ \\ \implies \: \huge \red{ a = 6} \\ \\ b = 12 \cos 30 \degree \\ \\ \implies \: b = 12 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: b = 6 \times \sqrt{3} \\ \\ \implies \: \huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

Answer: the slope is y=-1/2

Step-by-step explanation:

because the line is moving from left to right, it is a negative slope

Answer:

5√6

Step-by-step explanation:

√25 x 6

√25 x√6

5√6

Answer:

x=√15 or x = -5 or x=3

Step-by-step explanation:

Possibility one:

x=x^2+x-15

x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)

-x^2+x=x-15

-x^2+x-x=x-15-x (subtract x from both sides)

-x^2=-15

-x^2/-1=-15/-1 (divide both sides by -1)

x^2=15

square root both sides

x=√15 or x=-√15

Possibility two:

x=(-x^2+x-15)

x=-x^2-x+15 (simplify)

x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)

x^2+2x-15=0

(x-3)(x+5)=0 (factor left side of equation)

x-3=0 or x+5=0 (set factors equal to 0)

x=3 or x=-5

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.

Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

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What is volume of the box in diagram (in cubic ft.)

Volume of cube = a³

putting the value of a

Volume = (2.5ft.)³

Volume = 15.625 ft³

To find how many such boxes can be fit into the truck , we need to first find the volume of cargo hold of the truck and then divide it by the volume of 1 box

Volume of Cargo hold of truck =

= 15ft. × 7.5ft. × 7.5ft

= 843.75 ft³

No. of boxes that can be fit into the truck =

Volume of truck/ Volume of one box

= 843.75ft.3³/15.625ft.³

= 54 boxes

Answer:

C . The sun

plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal

Answer:

1300 ppl

Step-by-step explanation:

35%  = .35 in decimal

.35 x =455

x = 455/.35 = 1300 ppl

Reason:

The standard error of the mean has the formula [tex]\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] (greek letter sigma) is the standard deviation and n is the sample size.

As n gets bigger, the standard error [tex]\frac{\sigma}{\sqrt{n}}[/tex] gets smaller, and vice versa. This assumes sigma is fixed. A larger sample indicates the error goes down to narrow in better on the population mean.

Based on what I mentioned, this tells us that sample A has the larger standard error since n = 350 is smaller than n = 500 for sample B.

Answer:

B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

Step-by-step explanation:

[tex]\lim_{x\rightarrow -\infty } f\left( x\right) =\lim_{x\rightarrow -\infty } -4\sqrt[3]{x} = (-4)\times(-\infty) = +\infty[/tex]

[tex]\lim_{x\rightarrow \infty } f\left( x\right) =\lim_{x\rightarrow \infty } -4\sqrt[3]{x} = (-4)\times(+\infty) = -\infty[/tex]

Answer:

Step-by-step explanation:

Remark

If the figures are similar then this is a proportion question. A proportion is 2 equation ratios. The ratios can have at most 1 unknown.

Givens

DC = 7

ML = 4.9

AB = 4

JK = x

Equation

DC/ML = AB/x                  Substitute values into equation and solve

Solution

7/4.9 = 4/x                        Cross Multiply

7x = 4 * 4.9                       Combine the right.

7x = 19.6                           Divide by 7

7x/7 = 19.6/7

x = 2.8

Answer

x = 2.8

Answer:

? ≈ 6.5 yd

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here A = 13.3 and h = 4.1 , then

[tex]\frac{1}{2}[/tex] × 4.1b = 13.3 ( multiply both sides by 2 to clear the fraction )

4.1b = 26.6 ( divide both sides by 4.1 )

b = ? ≈ 6.5 yd ( to the nearest tenth )

Answer:

Step-by-step explanation:

Solve each equation and compare the solutions

1.

2.

Both a and b have same value

Answer:

Yes, a and b have the same value in the given equations.

Step-by-step explanation:

Equation 1

      [tex]2(a-1.1)=5.8[/tex]

[tex]\implies 2a-2.2=5.8[/tex]

[tex]\implies 2a-2.2+2.2=5.8+2.2[/tex]

[tex]\implies 2a=8[/tex]

[tex]\implies \dfrac{2a}{2}=\dfrac{8}{2}[/tex]

[tex]\implies a=4[/tex]

Equation 2

    [tex]\dfrac{5}{2}b-2\frac{3}{4}=7 \frac{1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{2 \times 4+3}{4}=\dfrac{7 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}=\dfrac{29}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}+\dfrac{11}{4}=\dfrac{29}{4}+\dfrac{11}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=\dfrac{40}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=10[/tex]

[tex]\implies 2 \cdot \dfrac{5}{2}b=2 \cdot 10[/tex]

[tex]\implies 5b=20[/tex]

[tex]\implies \dfrac{5b}{5}=\dfrac{20}{5}[/tex]

[tex]\implies b=4[/tex]

Conclusion

As  a = 4  and  b = 4, the two variables have the same value in the given equations.

A,D and E are not polynomials.

Step-by-step explanation:

Well you see my friend, that's how things work.

A polynomial does not have the variable in the denominator.

Answer:

cos 90°

Step-by-step explanation:

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

= cos ( 60° + 30°)

= cos 90°

The expression (cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

We can use the trigonometric identity for the difference of angles between cosines.

cos(x - y) = cos(x)cos(y) - sin(x)sin(y)

By setting x = 60° and y = 30°.

So,

cos(60° - 30°) = (cos 60°)(cos 30°) − (sin 60°)(sin 30°)

cos 30° = (cos 60°) (cos 30°) − (sin 60°) (sin 30°)

Thus,

(cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

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Answer:

61 + 142 + 44 = 247˚

Step-by-step explanation:

Just add haha

the person above is right

A. True. We see this by taking the highest order term in each factor:

[tex]f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots[/tex]

B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.

C. False. f(x) = 0 only for x=0, x = 5, and x = -2.

D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.

E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).

F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.

Volume is a three-dimensional scalar quantity. The height of the cuboid is 7 cm.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the cuboid is 385cm³, the length of the cuboid is 10cm, while the width of the cuboid is 5.5 cm, therefore, the height of the cuboid is,

385cm³ = 10cm × 5.5cm × H

H = 385cm³/(10cm×5.5cm)

H = 7cm

Hence, the height of the cuboid is 7 cm.

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