the population standard deviation is σ = 9.. for a random sample, the standard deviation of the sample mean is 1.5. what is the sample size?

Answer:

The point of intersection of the two lines is;

(-9,-2)

Step-by-step explanation:

What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points

For the first line;

The general form is

y = mx + b

formula for the slope is;

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

The points (3,4) and (-1,2)

m = (2-4)/(-1-3) = -2/-4 = 1/2

So the equation is;

y = 1/2x + b

To get b, let us substitute coordinates of the first point;

4 = 1/2 * 3 + b

4 = 3/2 + b

b = 4 - 3/2

b = (8-3)/2 = 5/2

So the equation is;

y = 1/2x + 5/2

For the second line;

Slope;

m = (-4-0)/(-6+12) = -4/6 = -2/3

The equation is;

y = -2x/3 + b

Let us substitute the first

0 = -2/3(-12) + b

0 = 8 + b

b = -8

The equation is;

y = -2x/3 - 8

Now , we want to get the intersection point

To do this, we have to solve both equations simultaneously;

Since we have an expression for y in both cases, let us equate both y

-2x/3-8 = 1/2x + 5/2

Multiply through by 6

-4x - 48 = 3x + 15

-4x-3x = 15 + 48

-7x = 63

x = 63/-7

x = -9

To get x;

Recall;

y = -2x/3 - 8

y = -2/3(-9) - 8

y = 6 - 8

y = -2

Yes, this shape belong in a group of shapes that have more than one perpendicular sides because its sides meet at a right angle.

In Mathematics and Geometry, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles) as shown in the image (see attachment) attached below.

However, it should be noted that it is not all intersecting lines that are perpendicular to each other because the lines may intersect at different angles other than 90 degrees (90°).

By critically observing the geometric shape, we can reasonably infer and logically deduce that it has more than one perpendicular sides.

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The property that should be used to continue simplifying the above equation is A-^1A = 1. So, correct option is C.

We can start with the equation AB = AC and multiply both sides by A^-1 on the left:

A^-1(AB) = A^-1(AC)

Using the associative property of matrix multiplication, we can simplify the left-hand side:

(A^-1A)B = (A^-1A)C

Using the fact that A^-1A = I (the identity matrix), we get:

IB = IC

Simplifying further using the fact that I times any matrix is that matrix itself, we obtain:

B = C

Therefore, the equivalent equation to AB = AC using A^-1 that simplifies to B = C is A^-1(AB) = A^-1(AC), and the property used to continue simplifying the equation is A^-1A = I.

The correct option is (C) A^-1A = 1, which is equivalent to A^-1A = I, since the identity matrix is denoted as 1 in some contexts.

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Answer:

1

Step-by-step explanation:

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

m=(2-8)/(-3-3)

m=-6/-6

m=1

The perimeter of the rectangle of dimension 1.5 × 10² feet by 1.35 × 10³ feet will be 3,000 feet.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The components of a school building are 1.5 × 10² feet by 1.35 × 10³ feet.

Then the perimeter of the rectangle will be given as,

P = 2(1.5 × 10² + 1.35 × 10³)

Simplify the equation, then we have

P = 2(1.5 × 10² + 1.35 × 10³)

P = 2(150 + 1350)

P = 2(1500)

P = 3000 feet

The edge of the square shape of aspect 1.5 × 10² feet by 1.35 × 10³ feet will be 3,000 feet.

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The ordered pairs represent (x,y)

To know what ordered pair is a solution we need to substitute the values of x and y with the ordered pair and if the result is equal we have a solution to the equation

For example

(0,-7)

x=0

y=-7

-7=5(0)-7

-7=0-7

-7=-7

Due the result is equal the ordered pair (0,-7) is a solution of y=5x-7

Step-by-step explanation:

the upper (smaller) triangle and the complete triangle are similar.

that means the angles in both triangles are the same. and the lengths of all corresponding pairs of sides correlate with the same scaling factor.

therefore,

(8x - 10) / (8x - 10 + 18) = 25 / (25 + 15)

(8x - 10) / (8x + 8) = 25 / 40 = 5/8

8(8x - 10) = 5(8x + 8)

64x - 80 = 40x + 40

24x = 120

x = 5

Answer:

You find the constant of proportionality by how much u need to add or subtract the same number to get the same answer and in a graph you need to see if the line goes through the origin (0,0).

Step-by-step explanation:

Among smokers, the etiologic fraction of disease due to smoking is: a score of 0.83 for lung cancer and 0.18 for coronary thrombosis.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

The death rate per 100,000 for lung cancer is 7 among nonsmokers and 71 among smokers.

The death rate per 100,000 for coronary thrombosis is 422 among nonsmokers and 599 among smokers.

Lung cancer's relative risk (RR) is equal to 71/7 =  10.1

Lung cancer population etiological factor (PEF) =

0.55(10.1 -1) /0'.55 (10,1 -1)+1

= 0.83

Coronary thrombosis' relative risk (RR) is 599/422, or 1.42.

The population etiological factor (PEF) for coronary thrombosis

= 0.55 (1.42-1)/0'.55. (1.42 -1)+1

= 0.18

Hence, Among smokers with a score of 0.83 for lung cancer and 0.18 for coronary thrombosis.

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Answer:

I love you 3566267840 and pas 123456

Answer: 136,000

Step-by-step explanation:

To find the number of square feet in the remaining 85% of the chocolate factory, we'll first calculate the total square footage of the factory.

We know that Kenya has seen 15% of the factory, which corresponds to 24,000 square feet. Let's represent the total square footage of the factory as "T."

We can set up the following equation based on the given information:

15% of T = 24,000 square feet

Mathematically, this equation can be written as:

0.15T = 24,000

To find the total square footage (T), we can divide both sides of the equation by 0.15:

T = 24,000 / 0.15

T = 160,000 square feet

Now, to find the square footage of the remaining 85% of the factory, we'll calculate 85% of the total square footage:

85% of T = 0.85 * T

= 0.85 * 160,000

= 136,000 square feet

Therefore, there are 136,000 square feet in the remaining 85% of the chocolate factory.

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

\(-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}\)

\(\frac{2p}{10} =-3\)

\(2p=-3(10)\)

\(p=\frac{-30}{2}\)

\(p=-15\)

\(m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3\)

I hope this help you

A- The specific heat of the sugar syrup can be converted to 2,060 kJ/kg·°C, and

b- the rate of heating, which is the heat energy transferred per unit time, is approximately 156.96054 kJ/s in SI units.

A- To convert the specific heat from Btul⁻¹F⁻¹ to kJkg⁻¹°C⁻¹, we use the conversion factor: 1 Btul⁻¹F⁻¹ = 4.184 kJkg⁻¹°C⁻¹.

Specific heat of the sugar syrup = 0.9 Btul⁻¹F⁻¹.

Converting to kJkg⁻¹°C⁻¹:

Specific heat = 0.9 Btul⁻¹F⁻¹ * 4.184 kJkg⁻¹°C⁻¹/Btul⁻¹F⁻¹

Specific heat ≈ 3.7584 kJkg⁻¹°C⁻¹.

(b) The rate of heating, or the heat energy transferred per unit time, can be calculated using the formula:

Rate of heating = (mass of the syrup) × (specific heat) × (temperature change) / (time)

The mass of the syrup can be calculated using the volume and density:

Mass = (volume) × (density) = 50 ft³ × 66.9 lb/ft³ ≈ 3345 lb ≈ 1516.05 kg.

The temperature change is ΔT = 80°C - 20°C = 60°C.

Plugging these values into the formula, we get:

Rate of heating = (1516.05 kg) × (0.388 kJ/(kg⋅°C)) × (60°C) / (30 min × 60 s/min) ≈ 156.96054 kJ/s.

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Answer:

50 m^2

Step-by-step explanation:

3cm = 5 m

6 cm = 10 m

5 x 10 = 50 m^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

50 \(m^{2}\)

Step-by-step explanation:

3cm = 5m

6cm = 10m

5x10 = 50

Answer:

A

Step-by-step explanation:

Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.

The age of Bryson today is 11 1/3 years

From the question, we have the following mathematical statements:

Bryson's dad age = 38

Bryson's dad age = 4 + 3 * Bryson's age

Represent Bryson's age with x

So, we have the following equation

Bryson's dad age = 38

Bryson's dad age = 4 + 3x

substitute the known values in the above equation, so, we have the following representation

4 + 3x = 38

Evaluatet the like terms

3x = 34

Divide by 3

x = 11 1/3 years

Hence, Bryson's age as per the mathematical statement is 11 1/3 years

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Answer:

see explanation

Step-by-step explanation:

starting with the polygon on the left at vertex Z ( marked with x ) and going clockwise.

Similarly polygon on right starting with vertex D ( marked with x ) and going clockwise.

ZLXY ≅ DABC

the scale factor of ZLXY → DABC

is the ratio of corresponding sides

scale factor = \(\frac{DA}{ZL}\) = \(\frac{9}{7.2}\) = \(\frac{5}{4}\)

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

3x^2 ( x+5)

Step-by-step explanation:

1/x^2  + 1/( 3x^2 +15x)

Factor the denominators

x^2 = x*x

3x^2 +15x = 3 *x( x+5)

The common denominator is

x* 3x* (x+5)

3x^2 ( x+5)

Answer: It's more likely it's a Tuesday

========================================================

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

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

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

Answer:

3

Step-by-step explanation:

-2 * 3= -6

-1 * 3= -3

0 *3= 0

1 *3 = 3

2* 3 = 6

3 * 3 =9

Answer:

? = 3

Step-by-step explanation:

To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.

Given formula:

\(\sf y=\boxed{?} \:x\)

Substitute x = 1 and y = 3 into the formula:

\(\sf 3=\boxed{?} \:1\)

To isolate ? divide both sides by 1:

\(\implies \sf \dfrac{3}{1}=\dfrac{\boxed{?} \:1}{1}\)

\(\implies \sf 3=\boxed{?}\)

Therefore, ? = 3:

\(\implies \sf y=3x\)

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:

\(\sf x=-2 \implies y=3(-2)=-6 \quad \boxed{\sf correct}\)

\(\sf x=3 \implies y=3(3)=9 \quad \boxed{\sf correct}\)

Answer:

Given function

The value of y at x = 6:

The closest choice is :

The y-intercept is the value of y when x = 0

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

Note: Consider we need to find the circumference and area of the given circle.

Given:

A circle with radius 7.1 m.

To find:

The circumference and area of the given circle.

Solution:

Circumference of a circle is:

\(C=2\pi r\)

Putting \(r=7.1,\pi=3.14\), we get

\(C=2(3.14)(7.1)\)

\(C=44.588\)

\(C\approx 44.6\)

Therefore, the circumference of the circle is 44.6 m.

The area of the circle is:

\(A=\pi r^2\)

Putting \(r=7.1,\pi=3.14\), we get

\(A=3.14(7.1)^2\)

\(A=158.2874\)

\(A\approx 158.3\)

Therefore, the area of the circle is 158.3 sq. m.

The company should adopt the new tread pattern, as the test statistic is lower than the critical value.

For this problem, we will use a one-tailed hypothesis test to determine if the company should adopt the new tread pattern. The null hypothesis (H0) is that the tires will not allow a car traveling at 60 mph to come to a complete stop within an average of 125 feet after the brakes are applied. The alternative hypothesis (H1) is that the tires will allow a car traveling at 60 mph to come to a complete stop within an average of 125 feet after the brakes are applied.

The test statistic used here will be the mean of the sample set, which is 125.33 feet. We need to find the critical value to determine whether or not the company should adopt the new tread pattern. To do this, we will use a one-sample t-test with a significance level of 0.05.

After taking into account the outlier (102 feet), the critical value is 1.711. Since the test statistic (125.33) is lower than the critical value (1.711), we can reject the null hypothesis and conclude that the company should adopt the new tread pattern. The outlier was accounted for by performing a one-tailed hypothesis test rather than a two-tailed hypothesis test. This allowed us to look at the data in the context of a single direction (whether or not the tires meet the objective), so that the outlier did not affect the results.

The company should adopt the new tread pattern, as the test statistic is lower than the critical value.

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Answer:

There are 8 prime numbers between 0 and 20

There are 8 prime numbers from 1 to 20. They are listed below: 2, 3, 5, 7, 11, 13, 17, and 19.

Answer:

6.7

Step-by-step explanation:

Answer:

Radius = 2.1 in.

Step-by-step explanation:

Pythagorean Theorem

•a²+4²=4.5²

•a²+16=20.25

•Subtract 16 from both sides

•a²=4.25

•Remove the square root

•√a²=√4.25

•a=2.06155

Answer:21-3+8=26

-14+31-6=11

Step-by-step explanation:

Answer:  A

Step-by-step explanation:

Center is the dot in the middle

Vertex is point where 2 lines meet

Answer A  the 2 lines meet at the center.