The following function is cumulative distribution function.


F(x) = 0 x < −10

0.25 −10 ≤ x < 30

0.75 30 ≤ x < 50

1 50 ≤ x

Determine the requested probabilities. Round your answers to two decimal places (e.g. 0.98).


P(X ≤ 50) =


P(X ≤ 40) =


P(40 ≤ X ≤ 60) =


P(X < 0) =

3.80%

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

19 is the answer.

You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,

4+10+5=19

So the coffee shop sells 19 different types of drinks.

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Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer:

The sentence you have can be expressed in algebra (using x as 'the number'):

2x + 5 = x / 3.  (We add 5 to the left side because that product is less than the right side.)

Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.

or

Let the unknown number that we are solving for be x.

The product of a number and 2  means 2*x

5 less than the quotient of a number and 3 means x/3 - 5.

So,

 2*x = x/3 - 5   subtract x/3 from both sides of the equation

2x - x/3 = -5 , now find the least common denominator for the left side of the equation

6x/3 - x/3 = -5

(6x - x)/3 = -5

5x/3       = -5, now multiply both sides of the equation by 3

5x          = -15  now divide both sides of the equation by 5

x = - 3. So the number is -3.

Step-by-step explanation:

Building an equation and solving for the number, it is found that the number is \(x = -\frac{3}{2}\)

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

Equal, thus:

\(2x = \frac{x}{5} - 3\)

Multiplying everything by 5:

\(10x = x - 15\)

\(9x = -15\)

\(x = -\frac{15}{9}\)

\(x = -\frac{3}{2}\)

A similar problem is given at https://brainly.com/question/1755985

Answer: y = 5x-2

Step-by-step explanation:

Answer: 0 ft

First, let us illustrate the problem.

Since the angle of elevation is 360 degrees, this would mean that the kite is on the ground. Therefore, the kite is 0 ft high.

To show this through computation:

The equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

The expression is given as:

\(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\)

Divide 128 by 2

\(\sqrt{\frac{64x^5y^6}{x^7y^5}}\)

Apply the law of indices to the variables

\(\sqrt{\frac{64y^{6-5}}{x^{7-5}}}\)

Evaluate the differences

\(\sqrt{\frac{64y}{x^2}}\)

Take the square root of 64

\(8\sqrt{\frac{y}{x^2}}\)

Take the square root of x^2

\(\frac{8\sqrt y}{x}\)

Hence, the equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

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Answer:

A≈78.54

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

because i said so

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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0.31

Ok Hope it’s correct ;)

Answer: A) Enlargement      B) Reduction

Step-by-step explanation:

If k > 1, it is an Enlargement

If k < 1, it is a Reduction

A) k = 1.75 > 1  so it is an Enlargement

B) k = 0.25 < 1 so it is a Reduction

...........the answer is 64

Answer:

$38.08

Step-by-step explanation:

12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

The possible answer is the first choice because thats how you  do a equation

The first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

Given the system of equations

4x − 3y = 34

3x + 2y = 17

In order to eliminate, the first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

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The answer to the question Which THREE methods could be used to find the change in height, in feet, of the second drone is B Multiply −38.75 by 0.2

Since the first drone decreases a height of 38 ³/₄ feet, since this is a decrease, its change in height is h =  -38 ³/₄ feet = -38.75 feet. (The value is negative because it is a decrease in height).

Also, the second drone decreases by 20 % the decrease in height of the first drone, we have that the decrease in height of the second drone, h' = h × 20 % = -38.75 × 0.2

So, to find the change in height of the second drone we multiply -38.75 by 0.2.

So, the answer to the question Which THREE methods could be used to find the change in height, in feet, of the second drone is B Multiply −38.75 by 0.2

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Answer:

see below

Step-by-step explanation:

1.

a)

the relation is

\(y=5x+28\)

b)

\(f(x)=5x+28\)

we can use it because for every value of  x there is just one value, as the definition of function states

c)

\(f(22)=?\\\\f(22)=5(22)+28\\\\f(22)=110+28\\\\f(22)=138\)

and

\(f(?)=128\\\\5x+28=128\\\\5x=128-28\\\\5x=100\\\\x=20\)

2.

the points are

(-2,2) with

\(x_1=-2\\\\y_1=2\)

(1,-3) with

\(x_2=1\\\\y_2=-3\)

so the change in y is      \(y_2-y_1\)

\(-3-(2)=-5\)

and the change in x is   \(x_2-x_1\)

\(1-(-2)=3\)

so the slope is

\(\frac{\:Change\:in\:y}{Change\:in\:x} =\frac{-5}{3} =-\frac{5}{3}\)

and the general formula is

\(y=ax+b\)

so with a=-5/3

we plug in point 1

\(2=-\frac{5}{3} (-2)+b\\\\2=\frac{10}{3} +b\\\\6=10+3b\\\\6-10=3b\\\\-4=3b\\\\-\frac{4}{3}=b\)so the formula is

\(y=-\frac{5}{3}x-\frac{4}{3}\)

expressed as a function is

\(f(x)=-\frac{5}{3}x-\frac{4}{3}\)

3.

this is bassically all the work of number 2, so we have

(-2,-5)

\(x_1=-2\\\\y_1=-5\)

(4,31)

\(x_2=4\\\\y_2=31\)

so the slope will be

the change in y    \(y_2-y_1\)

\(31-(-5)=36\)

the change in x   \(x_2-x_1\)

\(4-(-2)=6\)

so the slope will be

\(\frac{\Delta\:y}{\Delta\:x}=\frac{36}{6} =6\)                                              (the triangle means change)

so the formula we have

\(y=mx+b\\\\y=6x+b\)

we plug some point, let's say 1

\(-5=6(-2)+b\\\\-5=-12+b\\\\-5+12=b\\\\7=b\)

so the formula is

\(y=6x+7\)

as a function is

\(f(x)=6x+7\)

so there you have it

Just as a note, for the next one, put more points :)

The correct matches are: 4 in. → 10.2 cm   ,   7 kg → 15.4 lb

6 gal → 22.7 L   and  65 ft → 19.8 m.

Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.

For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.

Here are the conversions:

1 inch = 2.54 cm (approx.)

1 kg = 2.205 lb (approx.)

1 gal = 3.785 L (approx.)

1 ft = 0.3048 m (approx.)

Using these conversions, we can find the equivalent measures:

4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm

7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb

6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L

65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m

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Answer:

0.72/20.  1.98/20.  17.3/20.

Step-by-step explanation:

1000/20 = 50

for blue:

36/1000. divide top and bottom by 50 to get 0.72/20

for green:

99/1000. divide top and bottom by 50 to get 1.98/20

for yellow:

865/1000. divide top and bottom by 50 to get 17.3/20

Answer:

The answer is b false

Step-by-step explanation:

You missed the exam, meaning you didn't write, thus there is no way you can pass

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's

Check the picture below, so Francesca's throw looks more or less like that, and it hits the ground when h(t) = 0

\(\stackrel{h}{0}=1+14t-5t^2\implies 5t^2-14t-1=0 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-14}t\stackrel{\stackrel{c}{\downarrow }}{-1}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(t= \cfrac{ - (-14) \pm \sqrt { (-14)^2 -4(5)(-1)}}{2(5)} \implies t = \cfrac{ 14 \pm \sqrt { 196 +20}}{ 10 } \\\\\\ t= \cfrac{ 14 \pm \sqrt { 216 }}{ 10 }\implies t=\cfrac{ 14 \pm 6\sqrt { 6 }}{ 10 }\implies t=\cfrac{ 7 \pm 3\sqrt { 6 }}{ 5 }\implies t\approx \begin{cases} ~~ 2.870~\checkmark\\ -0.070 \end{cases}\)

so there are two valid values, however we can't use the negative one, since the phenomena is for seconds and we can't have negative seconds in this case.

It is true..

I don't have an explanation.

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

\(_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15\)

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

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Answer:

360

Step-by-step explanation:

6!/(6-4)!

Answer:

NO.

Step-by-step explanation:

NO. You cannot subtract 3x from 6, since they are NOT like terms.

Answer:

2(6-3x)+2(3x)+x

step by step

2x6=12 2x3X=6x + 2x3X=6x +2x

12+6x+6x+2x

=12+12x+2x

add the 12x + 2x =14x

the answer is 12+14x

Answer:

21/4 or 5 1/4

Step-by-step explanation:

Answer: 1 1/3 * 3 = 4

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Answer:

1/2

Step-by-step explanation: