According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distribution below shows the probability that k out of 6 adults watch the television show. P(k = 0) = 0.0467 P(k = 1) = 0.1866 P(k = 2) = 0.3110 P(k = 3) = 0.2765 P(k = 4) = 0.1382 P(k = 5) = 0.0369 P(k = 6) = 0.0041 The distribution is symmetric. skewed. both symmetric and skewed.

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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In response to the question, we may say that The width of the box is 9 prism inches since W must be an integer (it indicates a length). As a result, option (C) 9 inches is the correct answer.

A prism is an n-sided quadrilateral polyhedron with an n-sided quadrilateral base, a second base that is a relocated duplicate of the first base, and n extra heads (necessarily all parallelograms), generally with two connecting the corresponding sides of the base. Any cross sections that appear parallel to the base are translations. A prism is a solid, three-dimensional object having numerous faces. It has identical cross-sections, horizontal flanks, and bases. A prism's faces are parallelograms or quadrilaterals with no bases. A prism is a refracting object that is homogenous, solid, and transparent, and it is surrounded by planes that are just slightly inclined to one another. A prism typically has two triangular heads and two parallel rectangular sides.

The volume of the rectangular prism is reported as 400 in3. Assume the box's length, breadth, and height are L, W, and H, respectively. And there's:

400 in3 = V = LWH

We are asked to determine the width of the box, which is denoted by W. We may rewrite the equation above to find W:

\(W = 400/(LH) (LH)\\L \geq W\sH \geq W\\W = 400/(W^2) = > W^3 = 400 = > W = 8.85\\\)

The width of the box is 9 inches since W must be an integer (it indicates a length). As a result, option (C) 9 inches is the correct answer.

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Answer:

I think the answer are C, B, C, and A.

The value of the number is 21

Note that algebraic expressions are defined as expressions that are made up of terms, factors, variables, coefficients and constants.

The different types of operations in these expressions are;

From the information given, we have that;

Let the number be x

Then, we have;

4x - 24 = 60

To solve the equation, collect the like terms

4x = 60 + 24

Add the values

4x = 84

Make 'x' the subject

x = 21

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Answer:

first box 1.5, second box -1.5 don't forget the negative for the second box

Step-by-step explanation:

Answer:

Box one: 1.5.

Box two: Negative -1.5

Answer:

he rode 4.8 miles each day

Answer:

decagon (10-sided polygon)

Step-by-step explanation:

A regular polygon has a minimum rotation of 360/n degrees about its center, where n is the number of sides in the polygon.

Therefore, the regular polygon with a minimum rotation of 36 degrees about its center is a polygon with 360/36 = 10 sides, or a decagon.

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

The average rate of change of the function graphed is -4.

What is average rate of change?

The average rate at which one item is changing in relation to another is known as the average rate of change.

The function y = f(x) is graphed.

We have to find the average rate of change of the function on the interval

2 ≤ x ≤ 4.

The average rate of change is defined as,

Average rate of change = \(\frac{f(b)-f(a)}{b-a} = \frac{f(4)-f(2)}{4-2}\)

From graph,

f(4) = -4, f(2) = 4

So,

Average rate of change = \(\frac{-4-4}{4-2} = \frac{-8}{2} = -4\).

Therefore, for the given graphed function, the average rate of change is, -4.

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Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

The  coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)

Step-by-step explanation:

Given that the image of the point (-5, 4) under a translation is (-3,-1).

It means the image (-3, -1) is obtained by moving the right side by 2 units and moving 5 units down.

In other words, the rule of translation is:

P(x, y) → (x+2, y-5)

(-5, 4) → (-5+2, 4-5) → (-3, -1)

now

TRANSLATING THE POINT (-2, 9)

We already know the translation rule

P(x, y) → (x+2, y-5)

so

(-2, 9)  → (-2+2, 9-5)  → (0, 4)

Therefore,

The  coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

101/32 or 3 5/32 or 3.15625

(5/4 × 54/48) = 45/32

(5/4 × 105/75) = 7/4

7/4 x 8 top & bottom =56/32

45+56=101

Hope this helps!

Answer:

2 17/21 :)))

Step-by-step explanation:

Answer:

1 1/3 - 6/7 = 0.47619047619 or just 0.47619

or as a fraction it would just eqaul 10/21

Answer:

14.4 kN

Step-by-step explanation:

cantilever balcony 2m wide 0.2m deep and 1.5m length.

= 2 x 0.2 x 1.5

= 0.6 m³

weight of the balcony

= 0.6 x 24

= 14.4 kN.

therefore the max shear 14.4 kN and is acting at support.

D

The reason its D is because π is a irrational and its not a real number. Search it up. Hope i get brainliest!

hope this helped :)

Answer:

9.7 feet

Step-by-step explanation:

You can use the Law of Sines to solve this problem. The law states:

\(\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}\)

Since the given triangle is ASA (angle-side-angle) and we can use the triangle angle sum theorem to find the third angle (sum of triangle angles is 180 degrees). We can therefore determine that angle G is 72 degrees because 180-90-18 is 72.

According to the diagram, we can input our values into the Law of Sines in order solve for FG. Now we can solve the ratio for FG.

\(\frac{sin72}{9.2} = \frac{sin90}{FG}\)

sin90 is 1, so FG is equal to:

\(FG = \frac{9.2}{sin72}\)

FG is equal to 9.67 feet, which is 9.7 when rounded to the nearest tenth of a foot.

Answer:

  12rs -14rt +9

Step-by-step explanation:

We assume you want to simplify this expression. Combine like terms:

  = rs(7 +5) +rt(-3 -11) +9

  = 12rs -14rt +9

9514 1404 393

Answer:

  13/8

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  \(\dfrac{4\dfrac{2}{3}-\left(-1\dfrac{5}{6}\right)}{-7\dfrac{3}{4}-(-11.75)}=\dfrac{6.5}{4}=\boxed{\dfrac{13}{8}}\)

The number of students would there be in a school with 32 teachers is 32k.

As the number of students are proportional to number of teachers.

Thus,

students ∝ teachers

student ∝ 32

students = 32k

where, k is the constant of proportionality.

Thus, the total number of students will be 32 k.

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Answer: Murr's annual social security deduction is the amount of money he pays in social security taxes. Social security tax is 6.2% of Murr's annual salary. To find the annual social security deduction, we can multiply Murr's annual salary by the social security tax rate:

57,285.50 x 6.2% = 3,541.829

Murr's annual social security deduction is 3,541.829

Note that Medicare tax is 1.45% and it's calculated separately, if you want to calculate it you can use the same formula:

57,285.50 x 1.45% = 829.4078

So the total Social security and Medicare tax is 3,541.829 + 829.4078 = 4,371.2368

It's important to note that these are the federal Social Security and Medicare taxes, there might be additional state taxes or deductions that are not included.

Step-by-step explanation:

The given expression is,

Opening the brackets and multiplying each term inside the bracket with 5, we get,

The simplified expression is 15k = 35 and the value of k is 2.33.

Length of a text can be measured with ruler. Therefore, option C is the correct answer.

Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.

A ruler, sometimes called a rule, line gauge, or scale, is a device used in geometry and technical drawing, as well as the engineering and construction industries, to measure distances or draw straight lines.

Length of a text can be measured with ruler.

Therefore, option C is the correct answer.

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Answer:

C

Step-by-step explanation:

Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

Answer:

257.73

Step-by-step explanation:

93% of 277.13 is 257.73

Answer:

It’s actually $259

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

brainliest me

Answer:

ok so they test 7 components so the probity of getting a bad one for each is 0.2 so we just multiply this 7 times

0.2*0.2*0.2*0.2*0.2*0.2*0.2=0.0000128

Hope This Helps!!!

The required probability will be 0.0000128 that the first defect is found in the seventh component tested.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a company ships computer components in boxes that contain 50 items.

Assume that the probability of a defective computer component is 0.2.

As per the given condition, the required solution would be as:

They test seven components, and the probability of obtaining a defective one for each is 0.2, so we just multiply this by seven.

⇒ 0.2×0.2×0.2×0.2×0.2×0.2×0.2

⇒ 0.0000128

Thus, the required probability will be 0.0000128 that the first defect is found in the seventh component tested.

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Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

y = -3/5x + 21

M=-3/5x

B=21

Step-by-step explanation: