Which exponential function is represented by the
graph?
O f(x) = 2()
O f(x) = }(2)
O f(x) = (31
O f(x) = 2(2)​

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50[/tex]

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79[/tex]

The 99% confidence interval for the population mean is (7661.21, 7918.79).

Answer:

QUESTION 2 -> Correct option: A.

QUESTION 3 -> Correct option: C.

Step-by-step explanation:

QUESTION 2

To find the amount of tax we just need to multiply the tax rate by the original price of the product:

[tex]Tax = 29\% * 53.93[/tex]

[tex]Tax = 0.29 * 53.93[/tex]

[tex]Tax =\$15.64[/tex]

Then, to find the total selling price, we need to sum the original price to the tax value:

[tex]Total = tax + price[/tex]

[tex]Total = 15.64 + 53.93[/tex]

[tex]Total = \$69.57[/tex]

Correct option: A.

QUESTION 3

To find the final value after 2 years, we can use the formula:

[tex]P = Po * (1 + r*t)[/tex]

Where P is the final value, Po is the inicial value, r is the interest and t is the amount of time. Then, we have that:

[tex]P = 10000 * (1 + 0.08 * 2)[/tex]

[tex]P = \$11600[/tex]

Correct option: C.

Answer:

no solutions

Step-by-step explanation:

y = − 3 x + 9

3 y = − 9 x + 9

Multiply the first equation  by -3

-3(y )=-3( − 3 x + 9)

-3y = 9x -27

3 y = − 9 x + 9

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

0 = 0 -18

0 = -18

This is never true so there are no solutions

Answer:

for kahn academy -- b -- ( no solutions)

Step-by-step explanation:

Answer:

a. $825,000

b. $1,175,000

c. $750,000

d. $350,000

e. $3,150,000

f. $2,675,000

g. Accounts payable and accruals

Step-by-step explanation:

a. Total debt is long term debt $825,000

b. The amount of liability apearing on balance sheet is $1,175,000 ($825,000 + $350,000)

The amount of equity appearing in balance sheet is $2,000,000

c. Current Assets balance on the balance sheet is $750,000 ($3.5m - $2.75m)

the difference of total assets and net plant equipment.

d. Current liabilities to be reported on the balance sheet is $350,000 and the amount of accounts payable and other payable.

e. Net working capital is calculated by taking total assets and then deducting current liabilities from it. $3,150,000 ($3500,000 - $350,000)

f. Operating working capital is calculated by subtracting total liablities from total assets. $2,675,000 ($3,500,000 - $825,000)

g. The amount of accounts payable and accruals is not provided in the question the amount will be reported in the balance sheet.

Answer:

since f(0) is -4 , f^-1(0) will be the multiplicative inverse of  f(0)

hence, the answer is 1/-4

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Inverse of a function.

so hére after solving here we get as,

==> f^-1(0) = 1

Answer:

Nah bro I gotchu! 2x+28=42

2x=42-28

2x=14

x=7

:)

Step-by-step explanation:

Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get x = 6.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

Answer:

(6,0)

Step-by-step explanation:

The x intercept is where the graph crosses the x axis

Answer:

3

Step-by-step explanation:

5x - 8 = 7

5x = 7+8

5x = 15

x = 15 ÷ 5

x = 3

Answer:

What is the Pythagorean triplet of 32?

But 32/2 = 16 which is even so:

But 32/4 = 8 which is even so:

But 32/8 = 4 which is even so:

Answer:

Answer in explanation below.

Step-by-step explanation:

32² => 1024 => 1024/4 => 256 => 256 + 1 = 257, 256 - 1 = 255: 32, 255, 257

16² => 256 => 256/4 => 64 => 64 + 1 = 65, 64 - 1 = 63: 2 x ( 16, 63, 65) = 32, 126, 130

8² => 64 => 64/4 => 16 => 16 + 1 = 17, 16 - 1 = 15: 4 x ( 8, 15, 17) = 32, 60, 68

4² => 16 => 16/4 => 4 => 4 + 1 = 5, 4 - 1 = 3: 8 x ( 4, 3, 5) = 32, 24, 40

Answer:

I think the answer is C - Between 40 and 60 minutes

Step-by-step explanation:

Since each week the amount of time spend updating websites takes 50 minutes per week with an addition of 10 minutes it would be 1 hour per week (60 minutes)

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=1000\\\\H_a:\mu> 1000[/tex]

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

[tex]df=n-1=108000-1=107999[/tex]

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>254.036)=0[/tex]

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

[tex]d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77[/tex]

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

Step-by-step explanation:

Assuming c is the hypotenuse:

c = √(a² + b²)

c = 22.1

tan A = a/b

A = 36.7°

tan B = b/a

B = 53.3°

The value is 44.977

Feel pleasure to help u

Answer:

44.977

Step-by-step explanation:

Answer: its B 888 cm

Step-by-step explanation: hope this helps let me know if wrong ill fix it

Answer:

12 inches

Step-by-step explanation:

The formula for the area of a triangle is A=bh1/2. Using this formula we can find it backwards....

12 times 6 times 1/2 equals 36.

Answer:

60-|||

61-

62-||

62

64-|||

65

66

67-|

68-|||

69-|

70-||

71

72-||

73

74-||

75

76-||

77

78-|

This is a stem and leaf plot.

mean is 138.2/20=6.91

median of 20 is half way between 10th and 11th or an ordered plot. The 10th and the 11th are both 6.8, so that is the median.

6.4 and 6.8 are modes, but they are so minimal I would say there isn't a clear mode.

The range is 1.8, the largest-the smallest

This is not a normal distribution.

z=(x-mean) sd

a.(72-70.5)/1.5=1 so z>1 is the probability or 0.1587.

b.shorter than 67.5 inches is (67.5-70.5)/1.5 or z < = -2, and probability is 0.0228.

c.Between 69 and 72 inches is +/- 1 sd or 0.6826.

95% is 1.96 sd s on either side or +/- 1.96*1.5=+/- 2.94 interval on either side of 70.5

(67.56, 73.44)units in inches

Step-by-step explanation:

Answer:

a) 35/75

b)25/75

c)10/75

Step-by-step explanation:

Answer:

(12, 2) is the original point on the graph of [tex]y=f(x)[/tex].

Step-by-step explanation:

Given:

[tex]y= 5f(2(x+3))-4[/tex] has a point (3, 6) on its graph.

To find:

Original point on graph [tex]y=f(x)[/tex] = ?.

Solution:

We are given that The point (3, 6) is on the graph of [tex]y= 5f(2(x+3))-4[/tex]

If we put x = 3 and y = 6 in [tex]y= 5f(2(x+3))-4[/tex], it will satisfy the equation.

Let us the put the values and observe:

[tex]6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)[/tex]

Now, let us compare the above with the following:

[tex]y=f(x)[/tex]

we get y = 2 and x = 12

So, the original point on graph of [tex]y=f(x)[/tex] is (12, 2).

Answer:

It has one solution (0, 1).

Step-by-step explanation:

Easiest and fastest way to solve the systems of equation is to graph them on a graphing calc and analyzing where the 2 graphs intersect (if they are not parallel).

Answer:

[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]

Step-by-step explanation:

[tex]$\frac{6x}{x-3} -\frac{5}{x} $[/tex]

[tex]$\frac{6x(x)}{x(x-3)} -\frac{5(x-3)}{x(x-3)} $[/tex]

[tex]$\frac{6x^2}{x^2-3x} -\frac{5x-15}{x^2-3x} $[/tex]

[tex]$ \frac{6x^2-5x+15 }{x^2-3x} $[/tex]

Answer:Yes, alternate interior angles converse

Answer:

55.82% probability that there will not be enough seats available for all booked passengers.

Step-by-step explanation:

For each booked passenger, there are only two possible outcomes. Either they arrive for the flight, or they do not arrive. The probability of a booked passenger arriving is independent of other booked passengers. So we used the binomial probability distribution to solve this question.

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 airline books 22 people on a flight

This means that [tex]n = 22[/tex]

Past studies have revealed that only 89% of the booked passengers actually arrive for the flight.

This means that [tex]p = 0.89[/tex]

Find the probability that there will not be enough seats available for all booked passengers.

The airplane seats 19, so this is the probability of more than 19 passengers arriving.

[tex]P(X > 19) = P(X = 20) + P(X = 21) + P(X = 22)[/tex]

In which

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

[tex]P(X = 20) = C_{22,20}.(0.89)^{20}.(0.11)^{2} = 0.2718[/tex]

[tex]P(X = 21) = C_{22,21}.(0.89)^{21}.(0.11)^{1} = 0.2094[/tex]

[tex]P(X = 22) = C_{22,22}.(0.89)^{22}.(0.11)^{0} = 0.0770[/tex]

[tex]P(X > 19) = P(X = 20) + P(X = 21) + P(X = 22) = 0.2718 + 0.2094 + 0.0770 = 0.5582[/tex]

55.82% probability that there will not be enough seats available for all booked passengers.

Answer:

  [tex]f(x)\to 1[/tex]

Step-by-step explanation:

The function approaches its horizontal asymptote in both directions as the magnitude of x gets large. The limit is y = 1.

Answer:

(7, -3)

Step-by-step explanation:

Isolate x for 2x +7y = -7:

x = (-7 - 7y)/2

Substitute:

-4((-7 - 7y) / 2) - 3y = -19

Solve for y:

-2(-7y - 7) - 3y =

14y + 14 - 3y =

11y + 14 = -19

11y = -33

y = -3

Substitute -3:

x = (-7 - 7(-3))/2

  = 14/2

x = 7

Answer:

(7,-3)

Step-by-step explanation:

Answer:

15.87%

Step-by-step explanation:

z-score referred to standard score and it provide idea of the difference from the mean a data point it gives measurement of all standard deviations that falls below as well as above the mean in a given score

we were given:

mean of 76

deviation of 10

To calculate the z- scores

z-score = (the given score of interest - mean score given)/ standard deviation.

Z- score =66 - 76)/10

= -10/10 = -1.

Hence our z- score= -1

The next step is to look up the z-score of -1 on a z-table z-table

if you look for A z-score of -1 on the z- score table you will see that a z- score of (-1) has 15.87% of all scores below it.

Therefore, the percent of the scores that were below 66 is 15.87%

BELOW IS THE ATTACHMENT OF THE Z-SCORE TABLE

Answer: A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

This question is related to the criteria of congruence for triangles.

The criteria are:

SSS (you know the 3 sides)

SAS (you know two sides, and the angle between those two sides)

ASA (you know two angles, and the side between those two angles)

AAS (you know two angles, and one side).

So for the given examples, the only one that does not reach any of those criteria is the last option, where we only have the angles:

45°, 45° and 90°.

This means that we can craft multiple triangles with this data:

this is a triangle rectangle where the length of the cathetus is the same, that is the only restriction.

For example we can have lengths:

1, 1 and √2

or 2, 2 and √(2^2 + 2^2) = √8

Answer:

A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

Answer:

$261

Step-by-step explanation:

Simple equation to remember.

I = PRT

In this case, "I" means investment, "P" means principal, a fancy term for saying the starting money, "R" means rate in decimal form (just move the decimal two places to the left to convert the percent to decimal), and "T" means time, which is usually in years.

All you do is just plug in 290 as P, 0.06 as R, and 15 as the T, and then you multiply that all together to get.

However, this is only the simple investment equation, there are other equations such as the compound equation used for interest. I'm assuming you're only using the normal interest equation.

Answer:

[tex]\boxed{y = 2x+4}[/tex]

Step-by-step explanation:

Gradient = m = 2

Y-intercept = b = 4 (Because here x = 0 as in the point (0,4))

So, the equation becomes

=> [tex]y = mx+b[/tex]

=> [tex]y = 2x+4[/tex]

Answer:

172m

Step-by-step explanation:

From the question above we are told:

The distance of the submarine below the surface = 55m

The distance of the underwater robotic vehicle below the surface = 227m

The distance between the underwater robotic vehicle and the submarine is calculated as:

The distance of the underwater robotic vehicle below the surface - The distance of the submarine below the surface

= 227m - 55m

= 172m

Therefore, the distance between the underwater robotic vehicle and the submarine is 172m

Answer:

x=0, y=0

x=2, y=4

Step-by-step explanation:

Answer:

x = 2, y = 4.

Step-by-step explanation:

x^y = y^x

Substitute y = 2x in the above:

x^2x = (2x)^x

x^2x = 2*x * x^x      Divide both sides by x^x:

x^2x / x^x = 2*x

x^(2x-x) = 2^x

x^x = 2^x

So x = 2.

and y = 2x = 4.

We can also make x = 0 and y = 0  but

I'm not sure if  this result is valid because 0^0 is undefined.

Looking further into this there seems to be different opinions on this with some mathematicians say 0^0 = 1, so x=0, y = 0 may be acceptable.