Which graph best represents the equation f(x) = 2(5)^x

Answer:

4.45 m/s

Step-by-step explanation:

Vertical distance, Sy = 5m

The speed of pebble when they hit her window :

Vx = Sx / t

We can obtain t using the relation :

Sy = 1/2 * at²

Where, a = acceleration due to gravity = 9.8m/s²

We can obtain t

5 = 1/2 * 9.8 * t²

5 = 4.9t²

t = √5/4.9

t = 1.01 seconds

Hence,

Speed, Vx = Sx / t

Vx = 4.5 / 1.01

Vx = 4.45 m/s

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

just use a calculator

Answer:

5

Step-by-step explanation:

2

Answer:

I don't know

Step-by-step explanation:

the answer is 0.2

The average of x and y is 03

The average of the three numbers is given as:

Average = 10

This means that:

(x + y + 24)/3 = 10

Multiply both sides by 3

x + y + 24 = 30

Subtract 24 from both sides

x + y = 6

Divide by 2

(x + y) = 3

Hence, the average of x and y is 03

Read more about average and mean at:

https://brainly.com/question/20118982

#SPJ6

Answer:

a) 48.4%

b) 51.6%

c) 12.3%

d) i) 93.0%  ii) 3.0%

Step-by-step explanation:

a)

P(fp) = probability of false positive result

P(fp) = 0.07

P(fp = 0) = (1 - 0.07)¹⁰

P(fp = 0) = 0.4839... ⇒ 48.4%

b)

P(fp = 1) = 1 - 0.4839...

P(fp = 1) = 0.516... ⇒ 51.6%

c)

P(fp = 2) = 10C2(0.07)²(0.93)⁸

P(fp = 2) = 0.123... ⇒ 12.3%

d)

P(fn) = probability of false negative

P(b) = probability a randomly selected woman has breast cancer  

P(fn) = 0.03

P(b) = 0.0003

If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;

If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%

ii)

If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;

The probability of a false negative is 0.03 or 3%

(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)

Answer:

Supplementary is your answer

Answer:

I believe it is 761 is the cost the roofer will charge.

Step-by-step explanation:

First: Multiply 32 with 19.25 (standing for h), which equals to 616.

Second: Add 616 with 145, which adds up to 761.

Answer:

Step-by-step explanation:

Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367

Answer:

Confounding variable

Step-by-step explanation:

Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.

Answer:

61.2%

Step-by-step explanation:

Let's start by finding the total area of the circle

it says that the radius is 4 so the total area is 16π

Then let's find the area of the traingle

The hieght is 6.5 and the base is 6

.5*6.5*6=19.5

Let's then find the white area

16π-19.5=30.765

Finally we just have to do (30.765/16π)= 61.2%

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21

Answer:

yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Step-by-step explanation:

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.  

The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Option (B) is correct.

It is required to find  the appropriate to model the distribution of the sample.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.

Given that:

A local steakhouse served 625 customers over a weekend.

The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.

So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Learn more about arithmetic here:

https://brainly.com/question/23907399

#SPJ2

Answer:

pls provide with a graph

Answer:

-5, -1/2

Step-by-step explanation:

I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.

Step-by-step explanation:

tan 0 = 5/ √11 = 5√11 /11

__________

Answer:

5 / √11

Step-by-step explanation:

tan θ = opposite side / adjacent side

tan θ = 5 / √11

Answer:

65 degrees

Step-by-step explanation:

Since it is given that AB=DC

then we know that AO=DO and BO=CO because it is the radius of a same circle.

Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]4^{-3} = 0.015625[/tex]

[tex]0.015625 = \frac{1}{64}[/tex]

Answer:

2.83 meters

Step-by-step explanation:

Change 217 cm to meter

217 * 1 m/ 100 cm = 2.17 m

5 meter - 2.17 m = 2.83 meters

Answer:

283 cm Or 2.83 m of cloths remaining after cutting.

Step-by-step explanation:

As we know that

1 m = 100 cm

so, 5 m = 5 × 100 = 500 cm

Subtract 217 cm from 500 cm

➛ 500 - 217

➛ 283 cm Or 2.83 m

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the equivalent to -2(4-3x)+(5x-2)

Using the associative property,

-2(4-3x) = -2(4)+2(3x)

= -8+6x

So,

-2(4-3x)+(5x-2) = -8+6x +5x-2

taking like terms together,

-2(4-3x)+(5x-2) = 6x+5x-8-2

= 11x-10

The equivalent expression is equal to (11x-10).

Answer:

[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]

From the attachment;

[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]

[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]

So, we have:

[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]

[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]

[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]

Express as percentage

[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]

[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]

[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated

Geometry

This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.

Answer:

25

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

57600 is the volume here

Because "was filled with 57600cm of water."

36 x 40 x n = 57600

n = 40

Answer:

[tex]s \ne \±2[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Step-by-step explanation:

Given

[tex]3sx_1 +5x_2 = 3[/tex]

[tex]12x_1 + 5sx_2 =2[/tex]

Required

Determine the value of s

Express the equations as a matrix

[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|A|= (3s*5s -5 *12)[/tex]

[tex]|A|= (15s^2 -60)[/tex]

Factorize

[tex]|A|= 15(s^2 -4)[/tex]

Apply difference of two squares

[tex]|A|= 15(s -2)(s + 2)[/tex]

For the system to have a unique solution;

[tex]|A| =0[/tex]

So, we have:

[tex]15(s -2)(s+2) = 0[/tex]

Divide both sides by 15

[tex](s -2)(s+2) = 0[/tex]

Solve for s

[tex]s -2 = 0\ or\ s +2 = 0[/tex]

[tex]s = 2\ or\ s = -2[/tex]

The result can be combined as:

[tex]s =\±2[/tex]

Hence, the system has a unique solution when [tex]s \ne \±2[/tex]

Next, we solve for s using Cramer's rule.

We have:

[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|x_1| = (3 * 5s - 5 *2)[/tex]

[tex]|x_1| = 15s - 10[/tex]

So:

[tex]x_1 =\frac{|x_1|}{|A|}[/tex]

[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]

Divide by 5

[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

Similarly:

[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]

Calculate the determinant

[tex]|x_2| = 3s * 2 - 3 * 12[/tex]

[tex]|x_2| = 6s- 36[/tex]

So:

[tex]x_2 =\frac{|x_2|}{|A|}[/tex]

[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]

Divide by 3

[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Answer:

C.-2.33

Step-by-step explanation:

We are given that

Significance level, [tex]\alpha =1[/tex]%=0.01

We have to find  the critical value of z  for a left-tailed test.

To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.

By using the z-table at significance level 0.01 for left-tailed test

The critical value of z at  1% significance level for left-tailed test

=-2.33

We get p-value by using z-critical value

P-value=0.0099<0.01

So, hypothesis  test would be reject the null hypothesis at  at 1% significance level.

Hence, the critical value of z=-2.33

Option C is true.

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°