3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4​

Answer:

(11.605 ; 22.195)

Step-by-step explanation:

11 10 16 15 18 12 25 20 18 24

Sample mean, xbar = Σx / n = 169 / 10 = 16.9

Standard deviation = 5.152 ( using calculator)

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

Df = n - 1 = 10 - 1 = 9

Tcritical at 99%, df =9 = 3.2498

Margin of Error = 3.2498 * 5.152/√10 = 5.2946

Lower boundary :

16.9 - 5.2946 = 11.6054

Upper boundary :

16.9 + 5.2946 = 22.1946

(11.605 ; 22.195)

Answer:

A

Step-by-step explanation:

Answer:

X = 1.71

or

X = 1.70951

Step-by-step explanation:

Good Luck!

The required value of x for the given equation is approximately 1.71.

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Equation:

The given equation is [tex]10(1.5)^{3x} = 80[/tex]

Divide both sides by 10.

[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]

Taking log on both sides, we get

[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]

Divide both sides by 3log(1.5).

x = log 8/ 3log(1.5)

x = 1.71

Therefore, the required value of x for the given equation is approximately 1.71.

Find out more about 'Equation' here:

brainly.com/question/11162571

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Solution :

From the table,

Number of countries = [tex]$N_i$[/tex]

Mean = [tex]$\overline Y_i$[/tex]

Standard deviation = [tex]$\sigma_i$[/tex]

Margin of error of B = 50,000 acres

So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].

Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex]  is given by :

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

Let us complete the numerator

[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]

                [tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]

                = 453329920

The bound on the error of estimation is B = 50,000 acres

Hence we get

[tex]$D=\frac{B^2}{H}$[/tex]

  [tex]$=\frac{50000^2}{4}$[/tex]

  = 625,000,000

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

  [tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]

 = 220.24044

≈ 221 (approximately)

Therefore, the sample size under the proportional allocation from each stratum are given by :

[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1052}{3056}\right]$[/tex]

   ≈ 76

[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{210}{3056}\right]$[/tex]

   ≈ 15

[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1376}{3056}\right]$[/tex]

   ≈ 100

[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{418}{3056}\right]$[/tex]

   ≈ 30

Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.

We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.

Answer:

75 boys

Step-by-step explanation:

[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]

4x = 300

x = 75

Answer:

75

Step-by-step explanation:

5/4 = x/60

4x = 300               300 divided by 4 equals 75

Answer:

y=-2x+13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Answer:

ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps

Step-by-step explanation:

Answer:

y = 1/2 x - 2

Step-by-step explanation:

Slope-intercept form:

y = mx + b

You need to solve for y.

-x + 2y = -4

2y = x - 4

y = 1/2 x - 2

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Answer:

6 should be the correct answer!

Step-by-step explanation:

all of the work I did, you can ignore these:

1 x 2 = 2

2 x 2 = 4

2 x (2 - 1) = 2 x 1 = 2

2 + 4 = 6

Answer:

The answer is 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]

Rounding off to nearest tenth:

b ≈ 12.6

tanθ = 6/12.6

[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]

Hence angle A ≈ 25.5

Angle B = 180-25.5-90

Angle B = 64.53665494

Hence, Angle B ≈ 64.5

Feel free to mark as brainliest

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

5 · 3 = 15

The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

3 · 2 = 6

The area of the second rectangle is 6 ft².

Now we can add the areas, 15 and 6, together to find the total area.

15 + 6  = 21

The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩

Answer:

20 seconds

Step-by-step explanation:

roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing

Answer:

its 504 ok...........................

504. If you multiply all the numbers together, you get all the possible combinations of such events

Answer:

D.21,600 kilograms

Step-by-step explanation:

The volume of the tank is Length x Width x Height (6*1.5*2.4)

So the volume is 21.6 cubic meters.

Therefore, there are 21.6 cubic meters of water.

The density of water is 1,000 kg per cubic meter. So multiply 1,000 to the number of cubic meters. (1,000*21.6)

The mass of the water in the tank is 21,600 kg

Answer:

the width is 15

Step-by-step explanation:

question seems incomplete

there are no notations for inequalities

Answer:

560

Step-by-step explanation:

So we know that 20% goes into 100% 5 times.

700/5 will give you a clean 140, meaning 20% of the price is 140

Thus 700-140 and you get 560 dollars

If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer

Answer:

the number of callers on average are in the system at any given time is 440

Step-by-step explanation:

Given that

The calls that arrive in a call center have an average rate of 100 per min

But it we involve the waiting time so the call needed 4.4 minutes

We need to to find no of callers are in the system at any given time

SO,

= 100 per min × 4.4

= 440

hence, the number of callers on average are in the system at any given time is 440

The same would be considered

Answer:

for number 2:

(6cm x 4cm) + (6cm x 3cm)

24cm + 18cm + 12cm

2 x 54cm

108cm

for number 3:

80m + 1920m

2,000m

Step-by-step explanation:

from the triangle

let angle close to 130⁰ be y

130⁰+y⁰=180⁰(sum of angles on a straight line)

y⁰= 180⁰-130⁰

y = 50⁰

70 + y + x = 180⁰(sum of angles in a triangle)

70 + 50 + x= 180⁰

x= 180⁰-120⁰

x=60⁰

Answer:

It's A

Step-by-step explanation:

5,29×10=52,9

you move coma one place to the right when times 10

Answer:

52.9.

Step-by-step explanation:

[tex]5.29*10=52.9[/tex]

Whenever a number is multiplied by 10, move the decimal one place to the right.

Whenever a number is multiplied by 100, move the decimal two places to the right.

Whenever a number is multiplied by 1000, move the decimal three places to the right.

I'm sure you understand now.

Therefore, the product is 52.9.

However, I do not see an answer choice for this. Perhaps you made a mistake?

Answer:

y = 2x - 4

Step-by-step explanation:

y = (slope)x + (y intersept)

y = (2)x + (-4)

y = 2x - 4

Answer:

By using the pythagorean theorem a^2 + b^2 = c^2

D is the correct answer Where PQ

= √15^2+√19^2

=√ 225 + √361

= √ 586

Length of PQ = √586 = 24.2074368738(ans)

Answer:

Step-by-step explanation:

Convert the equation into slope-intercept form.

5x-6y =30           Subtract 5x from each side

-6y = -5x + 30     Multiply each term by -1

6y = 5x – 30       Divide each side by 6

y = ⅚x - 5

2. Create a table of different x and y values,

x        ⅚x – 5        y  

-12      ⅚(-12) – 5     -15  

-6      ⅚(-6) – 5       -10

0       ⅚(0) – 5         -5

6       ⅚(6) – 5          0

12        ⅚(12) – 5        5

3. Convert the table to ordered pairs

(-12,-15)

(-6, -10)

(0, -5)

(6, 0)

(12, -5)

4. Plot the points and draw a line through them.

Answer:

need help too

Step-by-step explanation:

Answer:

the top box plot should be the way to go

Answer:

this is the answer

Step-by-step explanation:

I hope it was helpful

B is the answer

Answer:

Alcohol intake

Step-by-step explanation:

The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.

Answer:

The answer is

(0 , 0)

Good luck!