Determine the critical value Z a/2 That corresponds to the giving
level of confidence 88%

1 cup of flour per 6 cookies 1:6

24÷4=6

Hope this helps! :)

Answer:

Step-by-step explanation:

El ancho es x, el largo es x+3

El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6

El polinomio sería: P(x)=4x+6

Answer:

f(6) = - 4

Step-by-step explanation:

Substitute x = 6 into f(x) , that is

f(6) = - 6 + 2 = - 4

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

2400

2640

360

Step-by-step explanation:

the retailer has to sell it for the same price as the dealer.

so, both mark it for 2400 sale price.

if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.

2400 = 100%

1% = 2400/100 = 24

15% = 24×15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

the final price is then including 10% VAT

2400 = 100%

10% = 24×10 = 240

final price = SP + VAT = 2400 + 240 = 2640

Answer:

about 7.3 units

Step-by-step explanation:

to find the answer you do Pythagorean theorem

so you have (-9, -4) and (-2, -6)

you do X1-X2 and Y1-Y2

so -4-(6)=2

and -9-(-2)= -7

now you do a^2 + b^2 = C^2

so 2^2 + -7^2 = C^2

which is 4 + 49= C^2

53=C^2

√53=7.3

so 7.3 units :)

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

Answer:

-3a² - ab - 7ac - 2b² + 6bc + 4c²

Step-by-step explanation:

Step 1: Distribute

3a² + 3ab + 3ac - 2ab + 2b² -2bc

Step 2: Combine like terms

3a² + ab + 3ac + 2b² - 2bc

Step 3: Distribute again

-4ac + 4bc + 4c² - (3a² +ab + 3ac + 2b² -2bc)

Step 4: Combine like terms again

-3a² - ab - 7ac - 2b² + 6bc + 4c²

And you have your final answer.

Answer: in slope intercept form: y=-3x+170

In point slope form: y-50=-3(x-40)

Step-by-step explanation:

Choose coordinates from the graph to calculate slope.

(30,80) and (40,50) are on grid lines , so the values are clear.

Find the slope by finding the difference in x-values divided by the difference in y-values

50-80 = -30   = -30 is the rise      

40 - 30 = 10  is the run  Rise/Run = slope -30/10 = -3

the slope m is -3

To find the y intercept, substitute the y and x values from any given coordinate into the slope intercept form and solve for  b

y= mx + b    b is the y-intercept   m is the slope

80 = (-3)(30) + b

80 = -90 + b

80 + 90 = b

170 = b

170 = b  This is the y-intercept

Rewrite the equation using the values found for  m and b

y = -3x + 170

The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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Answer:

he academy has 20 students per teacher and need 12 tutors for 120 students

Answer:

20 students per teacher, 10 students per tutor and you will need 12 tutors for 120 students

Step-by-step explanation:

teachers: 60/3 = 20

tutors: 40/4 = 10

120 students: 120/10 = 12

Answer:

Area= 4,200 square feet

Step-by-step explanation:

If I read your question correctly, I'm assuming the dots (".") mean a multiplication sign ("x").

If they are all being multiplied, use PEMDAS to solve this. First, find to value for any exponents you have (in this case, it's \(2^3\) and \(5^2\)).

\(2^3=2*2*2=8\\5^2=5*5=25\)

Now that you have the values for these two exponents, multiply all the numbers together.

8 x 3 x 25 x 7 = 4,200

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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Step-by-step explanation:

\(13 - x \leqslant 10\)

\(3 \leqslant x\)

Answer:

30

Step-by-step explanation:

Answer:

2700

Step-by-step explanation:

(^-^)

Answer:

Exact Form:

2.7 ⋅ (10³)

Decimal Form:

2700

Answer:

Step-by-step explanation:

Given : Lisa has to cut her grandma's grass this weekend

Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.

To Find : Area of Polygon

Solution:

Area of triangle = (1/2) bh

= (1/2) * 20 * 20

= 200   sq feet

= (1/2) * 6 * 6

= 18   sq feet

Area of rectangle = 30 x 6 = 180   sq feet

Total area = 200 + 18  + 180

= 398 sq feet

Area of Polygon = 398 sq feet

The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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Answer:

y=1.5x-2

Step-by-step explanation:

Use equation y=mx+c

m is the gradient of the graph

c is the y-intercept

Finding the gradient:

Coordinates of the blue circles: (0,-2) and (2,-5)

(-5)-(-2)=-3

2-0=2

3÷2=1.5=m

Therefore, the gradient is 1.5

Next, to find the y-intercept, just simply look at the y axis

The blue circle is the intercept.

Therefore, the final equation is:

y=1.5x-2

Hope this helped

Answer:

Step-by-step explanation:

7.50a + 2.50c = 1945

      a +       c = 364

Use -2.50 for 2nd equation

7.50a + 2.50c = 1945

-2.50a - 2.5oc = -910

5a = 1035

a = 207 adult tickets were sold

207 + c = 1945

c = 1738 child's tickets were sold

Answer:

39

Step-by-step explanation:

Since we are multiply the shorter side by 6.5 (you can find this by dividing 26 over 4) We have to do the same for the longer side and by multiplying we get 39, which is the answer.

36 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle is isosceles => two sides are equal,that means that angles are equal too

x=180-72*2

x=180-144

x=36

It will be nice if you give me brainliest. Good luck!

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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The possible value of x is any value less than 1100, under the condition that the triangles are not drawn to scale.

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. Using this theorem, we can find possible values of x in the triangle with sides 10000, 1000 and 10x.

So we have:

10000 + 1000 > 10x
11000 > 10x
1100 > x

Therefore, x can be any value less than 1100.
The triangle inequality theorem states the relationship regarding the three sides of a triangle. According to this theorem, for any particular triangle, the summation of lengths of two sides is always greater than the third side. In short , this theorem aids to  specify that the shortest distance between two distinct points is always a straight line.

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The amount that would be in the account after 7 years to the nearest ten dollars is $75,260.

The formula for calculating future value:

FV = P (1 + r)^nm

65,000 X (1 + 0.021/4)^(7 x4) = $75,260

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Answer:

The smallest five positive integers that each have exactly four factors are 6, 8, 10, 14, and 15.

6 + 8 + 10 + 14 + 15 = 53

The person that has the higher average speed is Teresa.

The average speed is the total distance travelled by the object in a particular time interval.

Average speed measures the average rate of speed over the extent of a trip.

Therefore,

average speed = distance / time

Hence, Karl drove 40 miles in 50 minutes.

Therefore,

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minute

Teresa drove 35 miles in 42 minutes.

Therefore,

average speed of Teresa = 35 / 42

average speed of Teresa  = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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Answer:

Graphical method

We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

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

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.