Jason has three T-shirts of different colors. He shares his T-shirts with his two brothers. How many ways can all three boys trade shirts and not wear the same color twice? A. one B. two C. three D. six​

Answer:

Chickens

Step-by-step explanation:

The 4th one I'm sorry if my answers wrong i tried to understand it and thats what i got

Answer: C. Increase the sample size

Step-by-step explanation: The confidence interval is a interval estimate of two numbers. From the question, the width confidence interval

Can be modified into a more narrow margin by reducing the standard error. The standard error is the value obtained from the division of standard deviation and the square root of sample size. Hence, a decrease in the standard error will give a more narrow confidence interval estimate. The standard error can be reduced by increasing the denominator of the standard error formula which is the sample size.

The number of pupils that chose English as their favorite subject is 26

From the table given, we can see that we have to fill the space before the addition of the numbers.

For the number of girls that chose English, we have;

= Total number of girls - sum of Maths and Sciences

= 38 - (20 + 12)

= 38 - 32 = 6

For the number of boys that chose English, we have;

= Total for Maths - Girls that chose Maths

= 25 - 20 = 5

Also,

Total pupils for all the courses - total for girls

= 70 -38 = 32

Then,

= 32 - ( 5 + 7)

= 32 - 12 = 20

Total pupils that chose English

= 20 + 6

= 26 pupils

Thus, the number is 26

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

1,428 inches cubed

Step-by-step explanation:

This easy, to find a volume of a cube/rectangular prism you just do lengthxwidthxhight

12x7x17=1428

In the wοrd prοblem ,the smallest distinct pοsitive numbers that prοvide a cοunterexample tο shοw the statement is false.

Wοrd prοblems are frequently defined verbally as situatiοns in which there is a prοblem and οne οr mοre questiοns are raised, the sοlutiοns tο which can be discοvered by applying mathematical principles tο the numerical infοrmatiοn prοvided in the prοblem statement. A cοmmοn prοblem in cοmputatiοnal mathematics is determining if twο prοvided statements are equivalent with respect tο a cοllectiοn οf rewritings.

Here let us take any three even number .

x=2,y=4,z=6.

Nοw adding three different even number then,

=> 2+4+6 = 12

12 is nοt οdd number. Then the given statement is False.

Thus, the smallest distinct pοsitive numbers which prοvide a cοunterexample tο shοw the statement is false.

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Answer:

C

Step-by-step explanation:

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.

In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. A line is said to be perpendicular to another line if the two lines intersect at a right angle or 90 degrees.

Answer:

D

Step-by-step explanation:

The required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression,
= -10w - 15.5
taking 5 commons from both the terms,
= -5(2w + 3.1)

Thus, the required expression that is equivalent to the given expression is -5(w+3.1) . Option D is correct.

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Answer:

V= 21.7

Step-by-step explanation:

180-90=90

2v+v+25=90

3v+25=90

3v=65

V=21.7

Answer:

1/5

Step-by-step explanation:

7 + 13 =20

20 + 5 = 25

5 is a fifth of 25

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

There are 25 socks in total, only 5 of these are green.

The proportion would look like this:

\(\frac{5}{25}=\frac{1}{5}\)

Answer:

1.  Choice (2)     13

2.  Choice (3)    8.1

3.  Choice (3)    95 to 105 ft

4. Choice (3)     96 in

Step-by-step explanation:

All the problems use the Pythagorean theorem
The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

\(c^{2} = a^{2} + b^{2}\)

or

\(c = \sqrt{a^{2} + b^{2}}\)

where c is the hypotenuse and a, b the shorter sides.

This means that given any two of the three sides of a right triangle we can compute the length of the third side

For example if we were given the hypotenuse c and side b, we can solve for side a by:

\(a = \sqrt{c^{2} - b^{2}}\)

If we were given side a and asked to solve for side b then
b = \sqrt{c^{2} - a^{2}}

Frankly it does not matter which you choose as side a and side b.

Question 1
The distance from the foot of the ladder to the wall can be taken to be side a and is equal to 8ft

So b = 8ft

The length of the ladder is the hypotenuse c = 15 feet
\(a = \sqrt{c^{2} - b^{2}} \\\\a = \sqrt{15^{2} - 8^{2}}\\\\a = \sqrt{225 - 64}\\\\a = \sqrt{161}\\\\a = 12.68857754045 \\\\\)

Rounded to nearest foot, that would be 13 feet So choice (2)

Question 2

The points J and K have the following coordinates as indicated on the graph.

J(-3, 2)

K (1, -5)

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

For:

(X1, Y1) = (-3, 2)

(X2, Y2) = (1, -5)

\(d = \sqrt {(1 - (-3))^2 + (-5 - 2)^2}\\\\d = \sqrt {(4)^2 + (-7)^2}\\\\d = \sqrt {{16} + {49}}\\\\d = \sqrt {65}\\\\d = 8.062258\\\\\text{Rounded to the nearest 10th it would be \boldsymbol{8.1}}\\\\\) So choice (3)

Question 3

This again involves a right triangle as shown in the figure
The sides are a = AC = 60 and b = BC = 80 and we are asked to find the length of AC which is the hypotenuse of ΔABC

Use the Pythagorean Theorem directly
\(c = \sqrt{a^{2} + b^{2}}}\\\\a = \sqrt{60^{2} + 80^{2}}\\\\c = \sqrt{3600 + 6400}}\\\\c = \sqrt{10000}}\\\\c = 100}\\\\\)

Answer 100 feet so choice (3): from 95 to 105 ft

Question 4

The brace is one of the shorter sides, with the platform top as the hypotenuse.

Let's use a for the brace, b for the 40 in side and c for the hypotenuse = 104 in

So we have to compute for b using the formula:

\(b = \sqrt{c^{2} - a^{2}}\)

Using the given values, this would be:

\(b = \sqrt{104^{2} - 40^{2}}\\\\b = \sqrt{10816 - 1600}\\\\b = \sqrt{9216}\\\\b = 96\\\\\)

which would be choice (3)

Answer:

The line of symmetry divides the quadratic graph into 4 parts

Step-by-step explanation:

The line of symmetry divides the quadratic graph into 2 parts, not 4 parts.

Since a quadratic parabola is symmetrical on two sides, the line of symmetry divides it into these 2 parts.

So, this statement is not true.

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

statistic

Step-by-step explanation:

Answer:

\(4x - 6 + 2x - 4 = 2 + 3x \\ 4x + 2x - 3x = 2 + 6 + 4 \\ 3x = 12 \\ \\ x = \frac{12}{3} \\ \\ x = 4\)

I hope I helped you^_^

Answer:

4x-6+2x-4=2+3x

4x+2x-3x=2+6+4

6x-3x=12

3x/3=12/3

x=4

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

78

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4096/27

Step-by-step explanation:

This is Exact Form

Answer:

Hello your question is poorly written the complete question is attached below

answer :

a) H0 : p1 = p2

  Ha : p1 ≠ p2

b)  Z = -0.58

c) P-value =  0.561915

d) we will reject the Alternative hypothesis

Step-by-step explanation:

For sample 1 ;  n1 = 254 , x1 = 28

For sample 2 ; n2 = 301 , x2 = 38

level of significance ∝ = 0.01

P1 = X1 / n1 = 28 / 254  = 0.1102

P2 = X2 / n2 = 38 / 301 = 0.126

a) Determine the null and alternate hypothesis

H0 : p1 = p2

Ha : p1 ≠ p2

b) Determine Test statistic

we perform a Z-statistic to test the hypothesis

Z = \(\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }\)  -------- ( 1 )

p =  ( x1 + x2 ) / ( n1 + n2 )

= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189

Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )

∴ Z = -0.58

c) Determine P-value

P-value =  0.561915 ( using excel function )

d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis.  therefore it proves that p1 = p2

Answer:

B. Temp Rises 5 Degrees

Step-by-step explanation:

If we want the opposite of -5, then we look for +5 and B seems appropriate

The sequence of transformation carried out on ABCD is; B: Reflection about the y-axis followed by a translation left by 2 units

As in rotation, reflection and translation the transformed image is congruent to the original figure (i.e all the points undergo same change). Thus, analyzing any one point will give the series of transformation undertaken.

Taking point A(3, 1) into consideration; Reflecting a point (x, y) over y axis, it becomes (-x, y).

Thus, reflecting A(3, 1) over y - axis gives the the new coordinates as (-3, 1)

Now, translating a point (x, y) k units left, gives a new coordinate (x - k, y).

Thus, translating point (-3, 1) 2 units left, gives the new coordinates as A'(-5, 1).

This is the coordinates for A'.

Thus, we can conclude by saying that the sequence of transformation carried out on ABCD is reflected about the y-axis followed by a translation left by 2 units.

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SSS theorem

Step-by-step explanation:

KL = MN

KN = ML

KM = KM

Answer:

i think it's ASA

Step-by-step explanation:

Complete question is:

Let C(x) be the statement “x has a cat,” let D(x) be the statement “x has a dog”, and let F(x) be the statement “x has a ferret”. Express each of these statements in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the domain consist of all students in your class.

a) A student in your class has a cat, a dog, and a ferret.

b) All students in your class have a cat, a dog, or a ferret.

c) Some student in your class has a cat and a ferret, but not a dog.

d) No student in your class has a cat, a dog, and a ferret.

e) For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as a pet.

Answer:

a) ∃x(C(x) ∧ D(x) ∧ F(x))

b) ∀x(C(x) ∨ D(x) ∨ F(x))

c) ∃x(C(x) ∧ D(x) ¬ F(x))

d) ¬∃x(C(x) ∧ D(x) ∧ F(x))

e) (∃xC(x)) ∧ (∃xD(x)) ∧ (∃xF(x))

Step-by-step explanation:

We are given;

C(x) = “x has a cat”

D(x) = “x has a dog”

F(x) = “x has a ferret”

We will make use of the following interpretation symbols;

Negation ¬ A : Not A

Disjunction A ∨ B : A or B

Conjunction A ∧ B : A and B

Existential quantification ∃ x A(x) : There exists an element x in the domain such that A(x)

Universal Quantification ∀x A(x) : A(x) for all values of x in the domain

So, using the above interpretations, we can answer the questions as;

a) ∃x(C(x) ∧ D(x) ∧ F(x))

b) ∀x(C(x) ∨ D(x) ∨ F(x))

c) ∃x(C(x) ∧ D(x) ¬ F(x))

d) ¬∃x(C(x) ∧ D(x) ∧ F(x))

e) (∃xC(x)) ∧ (∃xD(x)) ∧ (∃xF(x))

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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The value of x using the theorem of intersecting secants is 10

From the question, we have the following parameters that can be used in our computation:

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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Answer:

48 unit

Step-by-step explanation:

36=x75%

x=36/75% = 48

double check just in case :)

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

From the question, we have the following parameters that can be used in our computation:

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

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

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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