for a binomial probability distribution with 8 trials and probability of success equal 0.95. what is probability of exactly six successes? (use the binomial tables)

If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.

Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.

In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.

Number of sixth graders = number that prefer hip hop / percentage

100 / 40%

100 / 0.4 = 250

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Salinity and density decrease as temperature rises. Salinity and density, therefore, have a negative relationship with temperature. The density rises as salinity rises. As the temperature drops, ocean water becomes denser. Therefore, water becomes denser as it becomes colder. The density of seawater also rises as salinity does.

Water that is less dense floats above water that is denser. The warmer water will float on top of the colder water if there are two layers of water with the same salinity. However, there is a catch! Salinity has less of an impact on water density than temperature does. Therefore, if the layer with higher salinity is considerably warmer than the layer with lower salinity, the layer with higher salinity can actually float on top of the layer with lower salinity.

As you descend to the ocean's bottom, the temperature of the water continues to drop. So, as you descend to the ocean's bottom, the density of the water keeps rising. The deep ocean is divided into layers, with the lightest water at the top and the densest water at the bottom. The ocean's depths have horizontal circulation. In other words, water flows in strata of equal density.

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What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

From the figure, we can tell that a transversal is passing through the two parallel lines which makes corresponding angles.

In the given figure 14x+7 and 10x+5 are the two angles formed by the transversal.

14x+7=10x+5

Now take all the variable terms to one side

14x-10x=5-7

4x=-2

Divide both sides by 4

x=-2/4

Divide numerator and denominator by 4

x=-1/2

Hence the value of x is -1/2

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Answer: 5468.9

Step-by-step explanation:

Answer:

I think its $90.75

Hopefully its right :)

Answer:

Step-by-step explanation:

interior angles of polygons:

180(n-2)

1. =180(11-2)

=180(9)

=1620

2. 180(17-2)

=180(15)

=2700

Check the picture below.

An ordered pair which makes both inequalities true is: C. (1, 2).

In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-1, 3), we have:

y < 5x + 2

3 < 5(-1) + 2

3 < -5 + 2

3 < -3 (False).

For ordered pair (0, 2), we have:

y < 5x + 2

2 < 5(0) + 2

2 < 0 + 2

2 < 2 (False).

For ordered pair (1, 2), we have:

y < 5x + 2

2 < 5(1) + 2

2 < 5 + 2

2 < 7 (True).

y > x/2 + 1

2 > 1/2 + 1

2 > 3/2 (True)

For ordered pair (2, -1), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

-1 > 2/2 + 1

-1 > 2 (False)

For ordered pair (2, 2), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

2 > 2/2 + 1

2 > 2 (False)

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Answer:

B , C

Step-by-step explanation:

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.  

(–1, 3)

(0, 2)  

(1, 2)

(2, –1)

(2, 2)                                                                                          Edge  2022

The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.

So, the ratio of gallons of blue paint to gallons of yellow paint is

= 5 to 9  or 5:9

Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint

= 1- 5/9

=4/9

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The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

-0.5 cant be a probability because it is less than 0

0.29 can be a probability because it is more than zero.

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The numbers that could be a probability of an event are  0.29 and 0.06

An event's probability is always between 0 and 1. (inclusive).

This implies:

There can be just one.

It must be zero or less.

Evaluation of Option (a) - 0.5

This cannot represent probability (b) 0.29 because it is less than 1,

This can be used to represent probability (c) 0.06 since it lies between 0 and 1.

This can be used to indicate probability (d) 1.18 since it is less than 1.

Given that this is larger than 1, it cannot be a probability (e) 0

A probability is not zero.

This ranges from 0 to 1, so it can be used to express probability.

Therefore, 0.29 and 0.06 can be used to indicate probabilities.

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When the directrix is at x = 5 and  point in the vertex is at h = 2. Then P would be -3

In the equation of parabola, P is defined as the distance between the directrix and the vertex

The vertex is defined by the points V ( h, k )

h is for the x coordinate

k is for the y coordinate

when the directrix is given in the x, we solve for P using h

P = h - point given for directrix

P = 2 - 5

P = -3

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Dean halverson recently read that full-time college students study 20 hours each week. 0.000519 is the p -value.

Given :

Population mean, μ = 20

Sample mean, xbar = 22.4

Sample standard deviation, s = 3.7

Sample size, n = 31

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (22.4 - 20) ÷ (3.7/√(31))

T = 2.4*5.6 ÷ 3.7

Test statistic = 3.632

Using the Pvalue calculator :

df = n - 1 = 31 - 1 = 30

Pvalue(3.632, 30) = .000519.

The p-value is .000519.

The result is significant at p < .05

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The formula for nth term in the given arithmetic sequence is 10 - 3n

For an nth term in an arithmetic sequence

U(n) = a + (n - 1)d

Where n is the number of terms

a is the first term

d is the common difference

From the sequence above

a = 7

d = 4 - 7 = - 3

The formula for an nth term is

U(n) = 7 + (n - 1)-3

= 7 - 3n + 3

Hence, the formula for nth term is 10-3n

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(a) Probability that third apple is red from three selected apple one after one is 22/23.

(b) Probability that exactly two of the three apples are red is 0.3012

In the question we have,

total number of apples in a box = 25

number of red apples in a box = 22

number of green apples in a box = 3

Now, three apples are selected at random,one after other without replacement and first two apples are green .

(a) Then number of apples remained in a box after two green apples withdraw = 23

probability that third apple is red = 22/23

(b) The following are possible number of sample spaces for exactly two of the three apples are red

where , R--> red apple and G--> green apple

For first sample space , RGR i.e first and last apples are red

probability that first and last apples are red from three withdraw apples or P(RGR) = 22/25× 3/24× 21/23 = 0.1004

similarly, P(RRG) = 22/25×21/24×3/23 = 0.1004

P(GRR) = 3/25×22/24×21/23 = 0.1004..

Probability that exactly two apples are red = P(RRG)+ P(RGR)+ P(GRR) = 3(0.1004) = 0.3012

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Answer:

Step-by-step explanation:

a) 1/2 of 18 = ?

→ 1/2 of 18

→ (1/2) × 18

→ 18/2 = 9

So, answer is 9.

b) 2/3 of 27 = ?

→ 2/3 of 27

→ (2/3) × 27

→ 54/3 = 18

So, answer is 18.

Answer:

2.5 - 2(-3-0.5) + 2(n) > 10.75

Step-by-step explanation:

Step 1: two and 5 tenths is 2.5

Step 2: 2 times the quantity of the difference of negative three and one half is 2(-3-1/2)

Step 3:  two times a number is at least ten and three quarters = 2(n) > 10.75

Combine: 2.5 - 2(-3-0.5) + 2(n) > 10.75

Answer:

Step-by-step explanation:

1 / 3

Reason being: 100 / 3 = 33.333333333

Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

the correct answer is A

Always concentrate on point where X or G(X) equals Zero.

For example, here point (0,2), G(X)=2 when X=Zero.

If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!

The value of x is 22.5528.

Let ABC be the triangle , <A = 70, <B = 30 ,<C = 80.

Sum of angles in a triangle is 180.

70 + 30 + <C = 180

<C = 180 - 100

<C = 80.

Let sides be a = x , b = 12 and c = ?

According to sines law,

a/sin A = b/sin B = c/sin C

substitute a ,b,A,B values

a/sin A = b/sin B

x/sin 70 = 12/sin 30

x = 0.9397*12/1/2

= 11.2764*2/1

x = 22.5528.

Therefore the value of x is 22.5528.

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The solution to the equation given as √|x|² = x is x ≥ 0

From the question, the representation of the equation is given as

√|x|² = x

To start with;

We evaluate the square root expression in the equation

So, we have the following representation

|x| = x

The above implies that the absolute value of a number equals the number

As a general rule of absolute values, the absolute value of a number is positive

This can be represented as

x ≥ 0

Hence, the solution to the equation is x ≥ 0

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1.

The slope intercept form is y=mx+b

4x-3y=2

subtract 4x from both sides

3y=2+(-4x)

Divide by 3

y=2/3+(-4x/3)

simplify:

y=2/3-4x/3

reorder:

y=-4/3x+2/3

slope= -4/3, y intercept= 2/3

2.

In the same way,

3x+2y=-3

2y=-3-3x

y=-3/2 - 3x/2

y+3/2=-3x/2

y=-3x/2-3/2

y=-3/2x-3/2

slope=-3/2, y intercept= -3/2

I hope this helped you.

The formula that plots the radius against the area of such water puddle here on floor; A = πr².

For the given question,

Let the area of the water puddle on the floor be 'A'.

Let the radius of the water puddle be 'r'.

Then, using the area of the circle,

The function for the area of the water puddle be,

A = πr²

Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².

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Slope:

The slope is found with m = (y2 - y1) / (x2 - x1).

You can use any two points, so I'd pick ones with positive x and y values.

Using (1,5) and (3,3):

    m = (3 - 5) / (3 - 1) = (-2)/(2) = -1

The slope is -1.

To find the y-intercept, we can go to the point (-1,7) and use the slope of -1.  A slope of -1 means that if x goes up by 1, then then y goes down by 1.  So if we go from x=-1 to x=0, then the y-value of 7 will go down by 1.

y-intercept (0,6)

The equation in slope-intercept form is y = -x + 6, since we already found the slope and y-intercept.

Answer:

x = 36

The measure of the exterior angle is 114°

The remote interior angles are 24° and 90°.

Step-by-step explanation:

The angle marked 3x + 6 is the exterior angle. The other two marked angles are called "remote interior angles"

The two remote interior angles added together equals the exterior angle.

3x+6 = 24° + 2x + 18

Combine like terms.

3x + 6 = 2x + 42

Subtract 2x from both sides.

x + 6 = 42

Subtract 6 from both sides.

x = 36

If required, use the x=36 to find the measure of the exterior angle.

3(36) + 6

= 108 + 6

= 114°

Or find the measures of the remote interior angles.

2(36) + 18

= 72 + 18

= 90°

The remote interior angles are 24° and 90°.

Naoki shifted the base of ladder by 14 feet as the updated distance is 39 feet and old distance was 25 feet.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc). Finding the elements of vectors, modeling the mechanics of waves (both electromagnetic and physical), summarizing the strength of fields, and using dot and cross products are all physics applications of trigonometry. You can use trigonometry quite a bit in projectile motion.

Here,

The length of ladder= 65 foot

It rest at a wall at height of 60 foot.

So distance of foot of ladder from wall,

=√(65²-60²)

=√625

=25 foot

Now, as the ladder is shifted, it rest on the wall at height of 52 foot.

=√(65²-52²)

=√1521

=39 foot

Shift in the base of ladder,

=39-25

=14 foot

As the updated distance is 39 feet and the previous distance was 25 feet, Naoki moved the base of the ladder up by 14 feet.

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Answer:

it is important because this will be helpful for your incomes, tax, bills etc. This also will plan for other things that you might pay like savings.

Step-by-step explanation:

The surface area of the triangular prism is  936 cm².

In geometry, a triangular prism is a three-sided prism.

Therefore, the surface area of the triangular prism can be calculated as follows:

surface area of triangular prism = bh + L(x + y + z)

where

Therefore,

surface area of triangular prism = 24 × 18 + 7(18 + 30 + 24)

surface area of triangular prism = 432 + 7(72)

surface area of triangular prism = 432 + 504

surface area of triangular prism = 936 cm²

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The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.

The given function is -x⁴ -x³ +3x² +2x +6

The degree of the given function is even and the leading coefficient is negative. So,

End behavior is given by

f(x) → -∞, as x→ -∞

f(x) → -∞, as x→ +∞

The graph looks as follows:

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