Seven less than the product of 24 and a number

Answer:

The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.

Step-by-step explanation:

89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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Answer:

The first one is B, the second is A

Step-by-step explanation:

For a polynomial to be in standard form, it needs to have the exponents decreasing from left to right. In order from left to right, B goes 7,3,2,1,0, hence it is in standard form.

A polynomial cannot have a fractional exponent, hence a is not a polynomial.

Answer:

This is a great opportunity for me to be able to work with you

3x-3 Perimeter= 16x + 6 equals 3x - 2.5 = W The following is an equation for calculating the perimeter of a rectangle: perimeter = length plus length plus width plus width P = l + l + w + w.

Therefore,

3x-3 Perimeter= 16x + 6

perimeter = 2L + 2W

16x - 6 = 2(3x-3) + 2W

16x - 6 = 5x + 6 + 2W

6x - 5 = 2W

3x - 2.5 = W

3x-3 Perimeter= 16x + 6 is 3x - 2.5 = W.

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(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

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Answer:

i think the answer is 24

hope this helps

Answer:

C. 24

Step-by-step explanation:

(3-5)^4 (2)-16÷2      (Given)

-2^4 (2) - 16/2

16(2) -16/2

32 - 8

24.

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q.  Note:  This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so   q log a -3 log b  in condensed logarithm form is

log {a^q*b^(-3)}

                 a^q

or log  -----------------

                 b^3    

Answer:

6(2+3)

Step-by-step explanation:

6x2=12

6x3=18

12+18

A continuous variable is defined as a variable which can take an uncountable set of values or infinite set of values.

Since time can take on any values at the interval then the data is continuous.

Answer to the second question.

9

Step-by-step explanation:

3⁴ simply means 3×3×3×3=81

3² 3×3=9

81/9=9

Answer:

240

Step-by-step explanation:

If u take 244-4 then u get 240 but it isn't always the case of inverse...

Answer:

a = 3

b= -1  

c = 5

X = (-b +- sqrt [b^2 - 4ac]) / 2a

X = (--1 +- sqrt (1 - 4*3 * 5)) / 2* 3

x = (1 += sqrt (1 -60)) / 6

x1 = (1 + sqrt (-59)) / 6

x2 = (1 - sqrt (-59)) / 6

Source: http://www.1728.org/quadratc.htm

Step-by-step explanation:

The value of c in the right triangle using Pythagoras theorem is c = √113.

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem shows the relationship between the sides of a right triangle. Hence:

c² = 8² + 7²

c = √113

The value of c in the right triangle using Pythagoras theorem is c = √113.

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To answer your questions, we need to analyze the given equations and variables:

Equation 1: C = 900 - 50T

Equation 2: Y = 400

Equation 3: (M/P) = 0.25 - 62.5r

Equation 4: (M/P) = 400

The equation of the IS curve represents the equilibrium relationship between real GDP (Y) and the real interest rate (r). From Equation 2, we can see that the equation of the IS curve is Y = 400.

The equation of the LM curve represents the equilibrium relationship between the real interest rate (r) and the level of real money supply (M/P). From Equations 3 and 4, we can equate the expressions for (M/P) and solve for r:

0.25 - 62.5r = 400

-62.5r = 400 - 0.25

-62.5r = 399.75

r ≈ -6.396

Therefore, the equation of the LM curve is r ≈ -6.396.

To find the equilibrium values of the real interest rate (r) and real GDP (Y), we need to find the point where the IS curve intersects the LM curve. From Equation 2, we already know that Y = 400. Substituting this into the equation of the LM curve, we can solve for r:

400 = -6.396

Therefore, the equilibrium values of the real interest rate and real GDP are r ≈ -6.396 and Y = 400.

The Keynesian multiplier represents the impact of changes in autonomous spending on the overall change in equilibrium output (GDP). In this case, we don't have information about autonomous spending (investment), so we can't calculate the Keynesian multiplier.

An increase in government spending (G) would shift the IS curve to the right. This would lead to an increase in GDP (Y) and potentially a decrease in the real interest rate (r) as the IS and LM curves intersect at a higher level of output. However, without more information about the magnitude of the increase in government spending, we cannot determine the exact impact on GDP and the rate of interest.

The impact on national savings and the government budget balance of the increase in government spending depends on the financing of the spending increase. If the government increases taxes (T) or borrows to finance the higher spending, it may impact national savings and the government budget balance. However, based on the given equations, we do not have sufficient information to determine the specific impact on these variables.

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Answer:

Please type or attach a question that you need help with. Currently, all you have is the statement "I still don`t get it."

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

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Answer:

approx. 68%

Step-by-step explanation:

this is a normal distribution.

in a normal distribution, approximately 68% of the data is within one standard deviation of the mean (we also have 95% of data is within two standard deviations of the mean, and 99.7% of data is within three standard deviations of the mean).

one standard deviation in our question is 113.

315 is one standard deviation below the mean because 428 - 113 = 315.

541 is one standard deviation above the mean because 428 + 113 = 541.

so we expect approx. 68% of the data to be between 315 and 541.

The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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Is {x}^{3} + { x }^{3} = {x}^{6}: B. No, because you are not multiplying the bases, so exponent rules don't apply.

Simplifying x^{4} × x^{10} by using exponent rules is equal to: C. x^{-6}.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;

bⁿ

Where:

the variables b and n represent numerical values or an algebraic expression.

From the information provided, we can logically deduce the following mathematical expression:

Expression = {x}^{3} + { x }^{3}

Therefore, exponent rules does not apply to the given expression because you are not multiplying the bases.

Next, we would apply exponent rules to the second expression because the bases are being multiplied:

Expression = x^{4} × x^{10}

Expression = x^{4 - 10}

Expression = x^{-6}

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The given information provides a square thin plane lamina with side length 4 cm, which is earthed along three sides.

(i) Deriving expressions for the potential and electric field strength:

Electric Field Strength (E):

E = -∇V, where ∇ represents the gradient operator and V(x, y) = sin(πx/2a)sin(πy/2a).

Now, let's calculate the components of the electric field E using the partial derivatives:

E = -(∂V/∂x)î - (∂V/∂y)ĵ

= -[(πcos(πx/2a))/2a]î - [(πcos(πy/2a))/2a]ĵ

= -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ.

(ii) Calculating the values at the center of the plate:

Voltage at the center of the square:

V(x, y) = sin(πx/2a)sin(πy/2a)

V(0.02, 0.02) = sin(π/4)sin(π/4) = 0.5V.

Vector E field at the center of the square:

E = -(π/2a)cos(πx/2a)î - (π/2a)cos(πy/2a)ĵ

E(0.02, 0.02) = -(π/2(0.04))cos(π/4)î - (π/2(0.04))cos(π/4)ĵ

= -19.63î - 19.63ĵ V/m.

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The slope of all the given options  are equal and it is equal to slope of given equation .

So, All of the above

Given

Equation of a given line is \(x+2y=6\)

Lets find out slope m by writing the equation in y=mx+b form

\(x+2y=6\\2y=-x+6\\y=\frac{-1}{2}x+6\)

The slope of the line is \(\frac{-1}{2}\)

Now we find slope of each option using formula \(m=\frac{y_2-y_1}{x_2-x_1}\)

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-3}{6-0} =\frac{-1}{2}\)

Now pick two points from option B to find slope

(-10,-3)   and (0,-8)

\(m=\frac{-8+3}{0+10} =\frac{-1}{2}\)

Now we consider the third option

\(y=\frac{-1}{2}x+2\\slope = \frac{-1}{2}\)

Slope of all the options are same  and it is equal to the slope of given equation

So, all the above

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The equilibrium points for the autonomous differential equation (4) dy/dx = y(y^2 - 2) are at y = -√2, y = 0, and y = √2. The equilibrium point at y = -√2 is asymptotically stable, while the equilibrium points at y = 0 and y = √2 are unstable.

To find the equilibrium points, we need to set dy/dx equal to zero and solve for y.

dy/dx = y(y^2 - 2) = 0

This gives us three possible equilibrium points: y = -√2, y = 0, and y = √2.

To determine whether these equilibrium points are stable or unstable, we need to examine the sign of dy/dx in the vicinity of each point.

For y = -√2, if we choose a value of y slightly less than -√2 (i.e., y = -√2 + ε, where ε is a small positive number), then dy/dx is positive. This means that solutions starting slightly below -√2 will move away from the equilibrium point as they evolve over time.

Similarly, if we choose a value of y slightly greater than -√2, then dy/dx is negative, which means that solutions starting slightly above -√2 will move towards the equilibrium point as they evolve over time.

This behavior is characteristic of an asymptotically stable equilibrium point. Therefore, the equilibrium point at y = -√2 is asymptotically stable.

For y = 0, if we choose a value of y slightly less than 0 (i.e., y = -ε), then dy/dx is negative. This means that solutions starting slightly below 0 will move towards the equilibrium point as they evolve over time.

However, if we choose a value of y slightly greater than 0 (i.e., y = ε), then dy/dx is positive, which means that solutions starting slightly above 0 will move away from the equilibrium point as they evolve over time. This behavior is characteristic of an unstable equilibrium point. Therefore, the equilibrium point at y = 0 is unstable.

For y = √2, if we choose a value of y slightly less than √2 (i.e., y = √2 - ε), then dy/dx is negative. This means that solutions starting slightly below √2 will move towards the equilibrium point as they evolve over time.

Similarly, if we choose a value of y slightly greater than √2, then dy/dx is positive, which means that solutions starting slightly above √2 will move away from the equilibrium point as they evolve over time. This behavior is characteristic of an unstable equilibrium point. Therefore, the equilibrium point at y = √2 is also unstable.

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Answer:

Mean number of alligators = 7

Step-by-step explanation:

Given that:

Number of alligators

7, 0, 11, 10

Sum of quantities = 7 + 0 + 11 + 10

Sum of quantities = 28

Number of quantities = 4

We can find the average by dividing the sum of quantities by number of quantities.

Mean = \(\frac{28}{4}\)

Mean = 7

Hence,

Mean number of alligators = 7

Answer:

7

Step-by-step explanation:

So there were four different places and four different amounts of alligators.

The numbers are 7, 0, 11, 10.

When you add 7, 0, 11, 10, you get the number, you get 28.

You then divide 28 by 4, because there are four different numebrs on the chart. 7(1), 0(2), 11(3), 10(4).

After you divide this, the mean would be 7 because 28/4 = 7. (28/4 means 28 divided by 7)

Answer:

240 miles

Step-by-step explanation:

To find how far John will travel is he travels 48 miles per hour for 5 hours, you can multiply John's speed (48 mph) with his travel time (5 hours) to get:

48 mph × 5 hours = ?

48 × 5 = 240

Therefore, John will travel 240 miles if he travels for 5 hours at 48 miles per hour.

Answer:

\(X=12.125\%\)

Step-by-step explanation:

From the question we are told that:

Cost Price \(CP=734\)

Sale Price \(SP=823\)

Generally the equation for Profit  P is mathematically given by

 \(Profit=SP-CP\)

 \(P=823-734\)

 \(P=89\)

Therefore as a percentage

Percentage Profit X is given as

 \(X=\frac{89}{734}*100\)

\(X=12.125\%\)

The directional derivative of the function at the given point in the direction of the vector v is Dug(1,1)=3. To explain in 250 words, the directional derivative of a function is a measure of the rate at which the function changes at a given point in a specific direction.

This is expressed mathematically as the dot product of the gradient of the function at the given point and the unit vector in the direction of interest.

To find the directional derivative of g(p, q) at (1, 1) in the direction of the vector v = i + 4j, we need to follow these steps:

1. Calculate the gradient of the function g(p, q) at the point (1, 1).

The gradient of g(p, q) is the vector of partial derivatives of g(p, q) with respect to p and q, respectively. That is:

∇g(p, q) = <∂g/∂p, ∂g/∂q>
          = <4p3 - 2pq3, -3p2q2>

At the point (1, 1), we have:

∇g(1, 1) = <4(1)3 - 2(1)(1)3, -3(1)2(1)2>
           = <2, -3>

2. Normalize the vector v to obtain the unit vector u in the direction of v.

The unit vector u is given by:

u = v/||v||

where ||v|| is the magnitude of v. In this case, we have:

||v|| = ||i + 4j|| = sqrt(1^2 + 4^2) = sqrt(17)

Therefore, the unit vector u in the direction of v is:

u = (1/sqrt(17))i + (4/sqrt(17))j

3. Compute the dot product of the gradient vector and the unit vector in the direction of v.

The directional derivative of g(p, q) at (1, 1) in the direction of v is:

Dug(1,1) = ∇g(1,1) · u
             = <2, -3> · (1/sqrt(17))i + (4/sqrt(17))j
             = (2/sqrt(17)) - (12/sqrt(17))
             = -10/sqrt(17)

Therefore, the directional derivative of g(p, q) at (1, 1) in the direction of the vector v = i + 4j is -10/sqrt(17).

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Answer:

slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis

Step-by-step explanation:

fill in the points and do the equation m= rise(y points)/ run(x points)

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

The answer is D! (I think we have the same curriculum lol)

Answer:

d

Step-by-step explanation:

Answer:

48\(\pi\) cubic feet

Step-by-step explanation:

Have a good day :)