Simplify
(6.89 + 14.52) + (-14.52) =

Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

Answer:

76

Step-by-step explanation:

See 4^2 = 4x4 = 16

5^2 = 5x5 = 25

18^2 = 18x18 = 324

So it is

16 x 25 - 324

= 76

Hope it helps :D

Answer:

25.95 + 36

Step-by-step explanation:

You don't have any options so the answer I would say is 25.95 + 36, or the other way around.

Hope this helped :]

Answer:

dependent

Step-by-step explanation:

there is no replacement

Answer:

Dependent

Step-by-step explanation:

The cards aren't replaced, so it depends on which ones are taken.

Answer:

Area = ab sinx

Area = (8)(18) sin32

Area  = 144 sin32

Area = 79.41

Answer:

$7

Step-by-step explanation:

Answer:

pretty sure its 7

Step-by-step explanation:

Answer:

its tb=tc g

Step-by-step explanation:

Answer:16(-1/2)^n-1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We know that the value of x is 120, so we can substitute it into the equation they gave you.

T(x) = 0.06x + 4.5

T(x) = 0.06(120) + 4.5

Now just solve.

0.06 × 120 = 7.2

7.2 + 4.5 = 11.7

So the tax on the room is $11.70

Answer:

area of a circle ⭕= πr²

radius = diameter ÷2;

radius = 38÷2

radius = 19

3.14 * 19²

= 1133.54 cm²

Answer:

Step-by-step explanation:

A.

C.

Answer:

A

Step-by-step explanation:

The figure was turned 90 degrees

Answer:

A) an equilateral triangle with acute angles (60°)

B) isn't the lengths of a triangle

C) is a right triangle

D) is a right triangle

Step-by-step explanation:

A) 2,2,2, all sides and angles are all equal

B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle

C) it's a right triangle as the dimensions are a pythagorean triple

D) it's a right triangle as the dimensions are a pythagorean triple

Answer:

y = -1/3x + 6

Step-by-step explanation:

the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.

5 = -1/3(3) + b

5 = -1 + b

6 = b

Answer:

you can add them

Step-by-step explanation:

Answer:

[tex]\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}[/tex]

Step-by-step explanation:

yeah

Answer:

4+m

Step-by-step explanation:

You can't put them together 'cause they aren't like terms, so you just keep the sign that put them together in the first place.

Answer:

h

Step-by-step explanation:

g

Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) [tex]P(X \geq 48) = 0[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

From past experience, she is successful on 2% of her calls.

This means that [tex]p = 0.02[/tex]

50 calls.

This means that [tex]n = 50[/tex]

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

[tex]E(X) = np = 50*0.02 = 1[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]

[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]

[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]

So

[tex]P(X \geq 48) = 0[/tex]

Answer:

32

Step-by-step explanation:

The number to the right of the decimal is higher than 5, meaning you would round up.

Answer y = 1/4 (x+3)^2 + 4

Step-by-step explanation:

If the focus is (-3, 3) and the directrix is y=5, the vertex is at (-3, 4). a = 1/4p, p=1, a=1/4. (h,k) is the vertex.

y=a(x-h)^2 +k

y=1/4(x+3)^2+4

Answer:

f(x)  =  x² + 6      for x  <  3

and

f(x)  = -x +  6      for x  ≥  3

Step-by-step explanation:

you have to break it up into two separate parts

for x less than 3 is a parabola x²  where y = 6 when x = 0

f(x)  =  x² + 6      for x   < 3

and

for x ≥ 3 the function is a line    two points (3, 3) and (0, 6)

the slope m = (3 - 6) / (3 - 1)   =  -1

y intercept = 6  when x = 0

f(x)  = -x +  6      for x ≥ 3

Answer:

c

Step-by-step explanation:

The mean price of a gallon of gas at the five stations is $3.81. Therefore, option A is the correct answer.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given that, Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71, $3.62, $3.93, and $3.83, respectively.

Today each gas station raised its price by $0.08

Now, mean =(3.56+3.71+3.62+3.93+3.83+5×0.08)/5

= (18.65+0.4)/5

= 19.05/5

= $3.81

Therefore, option A is the correct answer.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

Answer:

$25.22

Step-by-step explanation:

26 x .03= 0.78

26-0.78= $25.22

i hope this helps :)

Answer:

30.5

Step-by-step explanation:

4.25÷17×122

0.25×122

30.5

Answer:

30.5

Step-by-step explanation:

Answer:

anything lower than 7 can be substituted for x to make this work

Step-by-step explanation: i tried

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

60 is my resultados of area

Answer

[tex]54 \sqrt{3} [/tex]

Step-by-step explanation:

Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6

Area=

[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]

[tex] = 54 \sqrt{3 } cm ^{2} [/tex]