The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need

Answer:

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Step-by-step explanation:

The population follows a binomial distribution, and the fact that

p₀ = 1205/32600 = 0,03696       and then q₀  = 1-0,03696 = 0,9630

And both

p₀*n = 0,03696*32600 = 1205 > 10

q₀*n = 31395 > 10

The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.

Therefore:

Hypothesis Test                    H₀    ⇒    p₀ = p

Alternative Hypothesis        Hₐ   ⇒     p₀ > p

p is the population proportion mean

p = 1/88  =  0,011

We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %

CI = 95 %     α = 5 %    α = 0,05    

Critical value for 0,05  is from z-table  z(c) = 1,64

We compute z(s)

z(s) =( p₀ - p )/ √ p₀*q₀/n

z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600

z(s) =  0,02596* 180,55/ √ 0,0356

z(s) = 4,687 / 0,189

z(s) = 24,9

Comparing  z(s) and z(c)   24,9 > 1, 64

z(s) is out of the acceptance region and we have to reject H₀

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Answer:

-0.24

Step-by-step explanation:

36

because you add 36 6 times so 36×6= 216

Answer:

Well, 216 divided by 6 is 36,so...

Step-by-step explanation:

Answer:

[tex]y = 30x +50[/tex] --- Sam

[tex]y = 20x +80[/tex] --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,80)[/tex]

[tex](x_2,y_2) = (4,170)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170 - 80}{4 - 1}[/tex]

[tex]m = \frac{90}{3}[/tex]

[tex]m = 30[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 80 = 30(x - 1)[/tex]

[tex]y - 80 = 30x - 30[/tex]

Make y the subject

[tex]y = 30x - 30 + 80[/tex]

[tex]y = 30x +50[/tex]

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,100)[/tex]

[tex](x_2,y_2) = (4,160)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{160 - 100}{4 - 1}[/tex]

[tex]m = \frac{60}{3}[/tex]

[tex]m = 20[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 100 = 20(x - 1)[/tex]

[tex]y - 100 = 20x - 20[/tex]

Make y the subject

[tex]y = 20x - 20+100[/tex]

[tex]y = 20x +80[/tex]

Answer:

with what

Step-by-step explanation:

Answer:

It will take Ramona 25 months or 2 years and 1 month to pay back for the car.

Answer:

y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask

Answer:

D. y = -7/2x+5/2

Step-by-step explanation:

The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.

Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.

Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-1-6}{1-(-1)}[/tex]

    = [tex]\frac{-7}{2}[/tex]

   = -[tex]\frac{7}{2}[/tex] (Same as option D)

Thus, the equation would have been: -[tex]\frac{7}{2}[/tex]x + [tex]\frac{5}{2}[/tex]

If you mean to find 4 cos(2a), then recall the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

so that

4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

Answer:

i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers

Step-by-step explanation:

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

[tex]Expected\ Value = 3[/tex]

Answer:

The standard error of the mean remains unchanged.

Step-by-step explanation:

Given that:

The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.

The margin of error [tex]E = z \times S.E[/tex]

This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.  

i.e.

From the question;

sample size n = 100

standard deviation = 1

mean = 3.0

The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]

= 0.1

So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Answer:

Easy man it 9999

Step-by-step explanation:

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.

6__________ = 170______

To find:

The correct units from grams and ounces for these blanks.

Solution:

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Answer: [tex]9.38\times10^{33}[/tex]

Step-by-step explanation:

Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]

A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.

Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]

[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]

Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.

All of them produce an angle of 90 degrees, therefore

90 degrees x 4 = 360 degrees

Answer:

a) Function 1 has the greatest y-intercept

b) Only function 2 has a slope less than -2

c) Function 4 has the least steep slope

Answer:

1. Function 1

2. Function 2

3. Function 4

Step-by-step explanation:

y-intercept:   Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2

- Function 1 has the highest y-intercept

slope less than -2:  Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1

- Function 2 has a slope lower than -2

least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1

- Function 4 has the steepest graph

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

21(4)

Step-by-step explanation:

=84 that's all u have to do

Answer:

line equation: y= 2x-1

Slope intercept formula

y=mx+b

m is also the slope

b is the y-intercept

y=2x+(-1)

+ positive sign and -negative sign= - negative sign

y=2x-1

Answer :

y=2x-1

Answer: 46

Step-by-step explanation:

Yes !!

Answer:

D

Step-by-step explanation:

The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!

Answer:

.51 meters of twine

Step-by-step explanation:

add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36