Supplementary solving for x

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:

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

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:

32

Step-by-step explanation:

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

Answer: spinning a spinner with 4 equal sections 50 times

Step-by-step explanation:

The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.

Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.

Therefore, the correct option is B.

Answer:

5/6x^2 + 1/2x + 1/15

Step-by-step explanation:

(1/2x + 1/5)(5/3x + 1/3)

5/6x^2 + 1/6x + 1/3x + 1/15

5/6x^2 + 1/6x + 2/6x + 1/15

5/6x^2 + 3/6x + 1/15

5/6x^2 + 1/2x + 1/15

Answer:

(19,1/2)

Step-by-step explanation:

you can put any number in the x coordinate as long as y is the same .

Answer:

I think its 3,600... plz let me know if I'm wrong

Step-by-step explanation:

300,000 x 0.012 or %1.2 (they're the same thing) = 3,600

Answer:

h

Step-by-step explanation:

g

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:

B. 23.8

Step-by-step explanation:

Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)

c = length of side you are finding

a = length of side a

b = length of side b

y =angle opposite c

Answer:

$7

Step-by-step explanation:

Answer:

pretty sure its 7

Step-by-step explanation:

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{150}{2}[/tex]

Slope = 75

Hope this helps!

Answer:

$25.22

Step-by-step explanation:

26 x .03= 0.78

26-0.78= $25.22

i hope this helps :)

Answer:

65 units

Step-by-step explanation:

Answer:

C=10

Step-by-step explanation:

Answer:

Area = ab sinx

Area = (8)(18) sin32

Area  = 144 sin32

Area = 79.41

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

Answer:

you can add them

Step-by-step explanation:

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:

its A

Step-by-step explanation:

just took the test

Answer:

The first graph on edge 2021

Answer:

its tb=tc g

Step-by-step explanation:

Answer:

the answer is 51

Step-by-step explanation:

a triangle has 180 degree in total

180-124=56

73+56+x= 180

x= 51

Answer:

51

Step-by-step explanation:

➝x+73=124

➝x=124-73

➝x=51

Answer:

[tex]x^{3}-5x^{2}+2x+8[/tex]

Given:

First 10 term of a geometric series are:

[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]

To find:

The expression that  represents the sum of the series.

Solution:

The first term of the given geometric series is:

[tex]a_1=\dfrac{16}{25}[/tex]

The common ratio of the given geometric series is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]

[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]

[tex]r=\dfrac{5}{2}[/tex]

The sum of first n terms of a geometric sequence is:

[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]

Where r is the common ratio.

Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get

[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]

Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].

Answer:

the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)

Step-by-step explanation:

Answer:

147/572

Step-by-step explanation:

The number of combinations of  n  things chosen  r  at a time is

[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex]  (Some writers use the symbol [tex]_nC_r[/tex])

Choose 4 women from the 7:

[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex]  ways

Choose 3 men from 9:

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex]  ways

There are 35 x 84 = 2940 ways to choose both, out of

[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.

Probability:

[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]

P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].

[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]

When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.

[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]

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