Can y’all help me on question 3?!

Answer:

Average speed = 3848 km / h

Step-by-step explanation:

Given:

It took Thandile 30 minutes to fly the distance of 1924 km between Pilanesburg National Park and Johannesburg.

To find:

Calculate the average speed.

Solution:

Average speed = distance / time

30 min = 0.5 h => 1924 / 0.5

= 3848 km / hours

Answer:

Average speed = 3848 km / h

hope this helps.....

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

Answer:

x+80=70°(exterior alternate angles)

x=70-80

x=-10

Answer:

17) option b

18) option b

19) option d

Step-by-step explanation:

17)

Cost of 25 burgers = $75

Therefore , cost of 1 burger:

                                          [tex]\frac{75}{25} = 3[/tex]

18)

Area of  rectangle = length x breadth

                 [tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]

19)

                   14.25

                 x    6.3

             _________

                   4275

            +    8550              

             __________

                89.775

            ___________

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

Answer:

(f + g)(x) = 5x + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 6

g(x) = 3x + 9

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

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Step-by-step explanation:

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the regression equation :

y = 31.6 + 10.9x

x = the number of years of study ;

y = the grade on the test.

The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test

The predictor variable is x, which is the independent variable, which is the number of years of study.

From. The regression output given ;

The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9

The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)

Answer:

[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]

Step-by-step explanation:

[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]

Answer:

.216165788

.582225057

.417774943

Step-by-step explanation:

We need to use a binomial distribution here

A.

10C5*.58⁵*(1-.58)⁵= .216165788

B.

I honestly think the fastest way to solve this is adding the probabiblity of exactly 6,7,8,9,10

which means we write

10C6*.58⁶*(1-.58)⁴+10C7*.58⁷*(1-.58)³+10C8*.58⁸*(1-.58)²+10C9*.58⁹*(1-.58)+10C10*.58¹⁰= .582225057

C.

To solve this just take the compliment of answer B

1-.582225057= .417774943

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27

Answer:

3

Step-by-step explanation:

You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3

Answer:

0.383 (3 d.p.)

Step-by-step explanation:

Probability formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let P(A) = probability that the student owns a credit card

Let P(B) = probability that the student is a freshman

Use the given table to calculate the probability that the student is a freshman and owns a credit card:

[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]

Use the given table to calculate the probability that the student is a freshman:

[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]

To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of A given B is:

[tex]\sf P(A|B)=\dfrac{P(B \cap A)}{P(B)}[/tex]

Substitute the found values into the formula:

[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]

Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).

P(Freshman credit card holder)

P(Freshman)

P(Freshman credit holder|Freshman)

a.

Answer:

240 cm^3

b.

Answer:

208cm^2

7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

A  set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

The points on a line always form a linear relation.

Therefore, consider the line y = x.

The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.

Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

Learn more about linear relations:

https://brainly.com/question/19586594

#SPJ2

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Answer:

2,4,6,8,10,12,14,16,18,20

Answer:

How do you make the number 7 an even number without addition, subtraction or multiplication?

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22 Answers



Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)

Answered 4 years ago

You can remove alphabet S from SEVEN.

You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.

Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.

Introducing a new number system and interchange position of 7 with an even number.

If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.

These are some genuine ways rather than dividing.

ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .

Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

On a coordinate plane, 3 triangles are shown.

Triangle B C D has points (1, 4), (1, 2), (5, 3).

Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).

Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).

Reflection across the y-axis composition translation of 6 units x, -5 units y.

The diagram is given below.

More about the transformation of the points link is given below.

https://brainly.com/question/27224339

#SPJ1

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Answer:

a. 81 square inches

b. 108 inches

Step-by-step explanation:

The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.

Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).

12*9 = 108 and that is the perimeter.

Answer:

area

Step-by-step explanation:

a = 405/5 = 81

a =81 square inches

perimeter

p = √81

= 9

=4×9×5

=180 inches

Answer:

jk

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.

The regression line is expressed as:

[tex]Y_i = a +bx_i[/tex]

where;

[tex]Y_i[/tex] = dependent variable

a = intercept

b = slope

[tex]x_i[/tex] = independent variable

So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9