Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)

Answer:

last option

Step-by-step explanation:

i used the quadratic formula

a = 1, b = 7, c = 8

(-b±√b²-4ac) / 2a

= -7 ± √49 - 4(8) / 2

= -7 ± √17

      2

Answer:

45

Step-by-step explanation:

6^2+2×6−3=45 is the correct answer

Answer:

$450

Step-by-step explanation:

First, write out an equation.  We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.

Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.

Let "x" represent the amount of money made each hour, and form your equation.

Your equation would be: \(19x=950\)

Then, just solve for "x".  Divide both sides by 19.

\(\frac{19x}{19}=\frac{950}{19}\\x=50\)

The "x=50" means that Hannah and Zach each earn $50 per hour.

Now, the question asks us to find the amount of money that Zach made.  So, multiply 50 by only the number of hours Zach worked, which is 9.

\(50*9=450\)

That means that Zach made a total of $450.

Step-by-step explanation:

Given equation is:-

Dividing both sides by 4, we get

By doing simply, we get

Hence, the value of c will be ¾.

Answer:

f

Step-by-step explanation:

f

Answer: a=2x 3 b=3y 5 (2x 3 -3y 5) (4x 6 +6x 3 y5 +9y 10)

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Answer:

4

Step-by-step explanation:

3 Hourly pays: 3*14= 42

1 Weekly Allowance: 21

Rides the bus 6 times= -2.50*6= -15

(42+21) - 15 = 63- 15= 48

48/12= 4

Answer:

x = -76 , y = 57

Step-by-step explanation:

5x - 6y = -38

3x + 4y = 0

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

use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

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

use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

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

20x - 24y = -152

18x + 24y = 0

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

2x = -152

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

divide 2 by both sides

x = -76

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

to find y, slot in the of x to either equation 1 or 2

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

equation 2

3x + 4y = 0

3(-76) + 4y = 0

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

-228 + 4y = 0

4y = 228 - 0

4y = 228

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

divide both sides by 4

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

y = 57

for this type of question, you can use

i used substitution method

hope it helps

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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Step-by-step explanation:

They are chords that cover the same arc length, so the chords are =

2s = s + 11     subtract 's' from both sides of the equation

s = 11

Answer:

should be about 60

Step-by-step explanation:

Answer:

8 and 4/9 i think... i am sorry if i am wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the speedometer reading is \(S_0=63\) mph, perimeter of factory-installed tires is \(P_0=75.1\) inches and perimeter of current tires is \(P=82.4\) inches.

The speedometer reading, \(S_0\),  is based on the number of actual revolution of tires in \(1\) second, \(n\), and on the perimeter of installed tires, \(P_0\) , as

\(S_0=n\times P_0 \Rightarrow n=\frac{S_0}{P_0}\;\cdots (i)\)

Let \(S\) be the actual speed of SUV having actual perimeter \(P=82.4\) inches,

\(\Rightarrow S=n\times P\)

\(\Rightarrow S= \frac{S_0}{P_0}\times P\) [from equation \((i)\)]

So, from the given values, we have

\(S= \frac{63}{75.1}\times 82.4\) mph

\(\Rightarrow 69.124\) mph

Hence, the actual speed of the SUV is \(69.124\) mph.

Given the below equations;

We can solve this by using the substitution method, we'll go ahead and find y in the 1st equation and substitute the value of y into the 2nd equation to find x;

To find y in the 1st equation;

To find x,let's substitute the value of y into the 2nd equation;

Therefore, the solution is (71/16, -1/4) or (4.44, 0.25) in decimal.

The equation that relates x, y, and z is z = (k x y).  the value of z when x=6 and y=8 is 192.

Based on the given question, the  question can be interpreted

z = (k x y)

k =constant of variation.

We were given that  z=-60 when x=3 and y=-5.

-60 = k * 3 * (-5)

-60 = -15k

k = -60/ -15

k = 4

Then the equation will be z = (4 x y), given that x = 6 and y = 8:

z = 4 * 6 * 8

z = 192

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Answer:

first question is b second is d

Step-by-step explanation:

The balance (future value) in Malik's account after 2 years of investing $7,550 at 1.95% compounded annually is $7,847.32.

The future value is the compounded present value of an investment or periodic deposit.

The future value can be determined using the FV formula, FV table, or an online finance calculator as below.

N (# of periods) = 2 years

I/Y (Interest per year) = 1.95%

PV (Present Value) = $7,550

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $7,847.32

Total Interest = $297.32

Thus, Malik's account balance (future value) after 2 years will be $7,847.32.

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Answer:

The slope of a line parallel to Y-axis is zero.

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

The graph of the function f(x) = { x + 1 } at different domain are plotted and attached

{ if x < 0 }

{ if 0 < x < 1 }

{ if x > 1 }

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

The graph of f(x) = x + 1 for different domain is plotted and attached

{ if x < 0 } the domain includes { -∞....-3 -2 -1}

{ if 0 < x < 1 } the domain includes { 0...0.7 0.8 0.9}

{ if x > 1 } the domain includes { 0 1 2 3 4 5...∞ }

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Answer:

4:     3  1/4 inches

5:     13 inches

Step-by-step explanation:

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

C is the answer, please choose the letter C that's the answer

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Answer:

Step-by-step explanation:

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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P(-2.33 ≤ z ≤ 2.33) = 0.98 for a standard normal random variable Z.

We are aware that the area under the curve between - and - is equal to 1 for a standard normal random variable Z.

The task of finding a number for z0 such that P(-z0 z z0) = 0.98 is given to us.

We can divide the area of 0.98 evenly between the two tails of the distribution since the normal distribution is symmetric around the mean.

(1 - 0.98 / 2) = 0.01 would be the area in each tail.

We can determine the z-score that corresponds to the area of 0.01 by using a calculator or a conventional normal distribution table. An area of 0.01 equates to a z-score of roughly -2.33.

Thus, z0 would have the value:

z0 = -(-2.33) = 2.33

Hence, for a typical normal random variable Z, P(-2.33 z z 2.33) = 0.98.

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y + 5x = 0 is the line's equation in point-slope form.

Given is a line with a slope of 0 and a point at (0, -10) on it. We must determine the line's point slope form equation.

The line's point-slope shape is  ( y -\(Y_{1}\)  ) = m ( x - \(X_{1}\)  ).

According to the query, slope (m) = 0 and

the line is going through ( \(X_{1}\) , \(Y_{1}\) ) = ( 0 , -10 )

∴ ( y - \(Y_{1}\) ) = m ( x - \(X_{1}\) )

y + 10 = 0 ( x - 0 )

y + 10 = 0

y + 5x = 0

As a result, the equation for the line in point-slope form will be

y + 5x = 0.

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