Find the z-score for the given shaded region under the standard normal distribution. Round your answer to two decimal places

Yes, construction of a quadrilateral is possible when the four sides and one of the diagonal of the quadrilateral is given.

Step by Step explanation:

Steps of constructions of a quadrilateral with four given sides and one given diagonal is as follow :

Therefore, construction of quadrilateral is possible with four sides and given diagonal.

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Answer: There will be 3 different ways for the frog to reach the number 8

Step-by-step explanation:

It's a simple addition, just add 3+2+3 which will equal 8. You can also look at a number line and do it that way. Hope this helps!

Answer:

120

Step-by-step explanation:

Let's assume that "5 (!)" is 5! (5 factorial)

5*4*3*2*1 = 120

The expected value of the sample mean of the values obtained in these 300 tosses is 3.5

Given :

A fair six sided die is tossed 300 times

We have to find the expected value of the sample mean of the values obtained in these 300 tosses.

A dice have six sides:

In a fair dice every side has equal chance of occurrence,

Now the probability of presence of each side = 1/6

Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:

E(x) = Σx P(x =x)

= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6

= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6

= 1/6 (1+2+3+4+5+6)

= 1/6 (21)

= 21/6

E(x) = 3.5

Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5

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Therefore the answer to the problem is that the sample taken for study is 20 cheerleaders .

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Here,

The sample of this study is the 20 cheerleaders which are taken for study.

Explanation: As the study of banana effect on speed and endurance of high school cheerleaders is been studied on the 20 selected cheerleaders from high schools in california so, as they are only 20 cheerleaders not all cheerleaders from california thus, the sample available is 20 cheerleaders so answer of sample becomes 20 cheerleaders.

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In geometry, the perimeter is the overall length of a shape's boundary. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. 28 units make up Figure I's perimeter.

Its dimensions are expressed in linear units like centimetres, metres, inches, and feet. A rectangle in Figure I has four sides that are 8 units, 6 units, 6 units, and 8 units in length. You must total the lengths of all four sides in order to get a rectangle's perimeter. Figure I's perimeter is 8 + 6 + 6 + 8 units, or 28 units.

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The length of DE from the given triangle ABC is 9. Therefore, option C is the correct answer.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

In the given triangle ABC, AD=DB

Here, D is the midpoint on AB so AD:DB=1:1

Now, DE=BC/2

=18/2

=9

Therefore, the length of DE is 9.

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To find the speed of the walker, divide distance by time.

Distance = 4.5 miles

Time = 0.75 hours

Speed = 4.5/0.75

Speed = 6 mph

If walking twice as fast, speed = 12 mph

Distance given speed and time is time multiplied by speed

0.75 * 12 = 9 miles.

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions

What is Exclusion Restrictions?

Most undergraduate econometric curricula cover the use of instrumental variables as a typical method for determining a variable's causal relationship to another variable. The fundamental tenet of the approach is that it can be applied in circumstances when a source of exogenous variation in X cannot be identified. Instead, a third variable called the instrument, Z, is utilized, where Z only influences Y by acting through X.

When estimating outcomes using instrumental variables (IV) or exogenous variables, which are used in many fields of research, including statistics and economics, researchers rely on proper exclusion limits.

the assumptions that z2 and z3 do not appear in the model

Hence z2and z3 are uncorrelated with the error u1 are known as are known as exclusion restrictions.

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The median of the employees' ages is 27.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.

The ages of the workers at a small company are given.

Employees’ ages are 17, 22, 56, 45, 34, 18, 21, 62, 25, 29.

To find the median,

firstly, arrange the data points in ascending order.

17, 18, 21, 22, 25, 29, 34, 45, 56, 62.

The total element in the data set is 10.

And 10 is an even number.

Then the median is the simple average of the middle two numbers.

And the middle numbers are 25 and 29.

So, 25 + 29 / 2

= 54/2 = 27

Therefore, the median is 14.

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Answer: b≈37°

Step-by-step explanation:

tg(b)=0.7536

b=arctg(0,7536)

b≈37°

The values of x in the cyclic quadrilateral are 6.67 and 25 and the angle

m∠ ACB is 115°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral. The circle which consists of all the vertices of any polygon on its circumference is known as the circumcircle.

1)

To find the value of x

12/8 = 10 / x

x = 20 / 3

x = 6.67

2) To find x;

(4x + 15)° + (6x + 3)° + 92° = 360°

Sum of angles in a circle is 360°

4x + 15 + 6x + 3 + 92 = 360

10x + 110 = 360

10x = 250

x = 25

The value of m ∠ACB in the quadrilateral  = 4x + 15

m∠ ACB = 4(25) + 15

m ∠ ACB = 115°

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The answer is 99 and the remainder is 16

The equation of line d is perpendicular to line c is y=-4/3 x+5.

The equation of line is y=3/4 x-2.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line.

In the equation of line is y=3/4 x-2, slope=m=3/4

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope of a perpendicular line is -4/3

Substitute m=-4/3 and (x, y)=(6, -3) in y=mx+c, we get

-3=-4/3 (6)+c

⇒ -3=-8+c

⇒ c=5

Now, substitute m=-4/3 and c=5 in y=mx+c, we get

y=-4/3 x+5

Therefore, the equation of line d is perpendicular to line c is y=-4/3 x+5.

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The possible ordered pairs set for the values in domain D is {(-6,11),(-5,9),(-2,3),(0,-1),(1,-3)}. The above graph shows the plot of these ordered pairs.

We have given that

y = -2x - 1 --(1)

Domain , D = {-6, -5, -2, 0, 1}

now, we find out the values of y for corresponding to given domain value.

y = -2(-6) -1 = 11

the first ordered pair is (-6,11).

y = -2(-5) - 1 = 9

The second order pair is (-5,9).

y = -2(-2) - 1 = 3

The third ordered pair is (-2,3).

y = 0 -1 = -1

The fourth ordered pair is (0, -1).

y = -2(1) - 1 = -3

The fifth ordered pair is ( 1, -3).

Now, we get all the possible ordered pairs from domain for plotting.

We can easily plot these points on 2-D graph taking y values on y-axis and domain points on x-axis.

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Complete question:

Use the drawing tools to form the correct answers on the graph. Consider this linear function: y = -2x - 1

Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1} Drawing Tools Click on a tool to begin drawing. (Plato)

Answer: 81.9 ??

Step-by-step explanation:

If there are 8 pieces of strawberry candy and 7 pieces of rhubarb candy then I have 77 different methods to give this candy to kids who have donated $5.

Number of strawberry candy = 8 pieces

Number of rhubarb candy = 7 pieces

Find the number of ways for equally distributing candy to all 5 children

Using formula:

→ ⁿCr = n!/r(n-r)!

          = 8!/5!3!

          = 8×7×6×5!/5! 3 × 2 ×1

          = 8×7×6/6

          = 56

Calculating the distributing way to rhubarb candy:

→ ⁿCr = n!/r(n-r)!

          = 7!/5!2!

          = 7×6×5!/5! × 2 ×1

          = 7×6/2

          = 21

Adding both distributing ways:

56+21 = 77 ways

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below.

I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.

The amount of work done in compressing the spring from a length of 10 inches to a length of 5 inches is 63.75 in-lb .

In the question ,

it is given that ,

a force of 6 pounds compresses a 16-inch spring 4 inches ;

we know that F = k*x

So , 6 = k*4

k = 6/4 lb/inch .

Work done in compressing spring from 10 inches to 5 inches is

W = ∫₆¹¹ kx dx .

W = k[x²/2]₆¹¹ = (k/2)*[121 - 36] = 85k/2 .

Substituting the value of k = 6/4 , we get

the Work Done is = 85/2 × 6/4 = 63.75 in-lb .

Therefore , the work done in compression is 63.75 in-lb .

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Answer:

$6

Step-by-step explanation:

The rate of change of the area of the triangle at that instant is 8.5 square mm per minute.

A' = (1/2)(b'h +bh') .  differentiating with respect to time

A' = (1/2)((-13)(1) +(5)(6)) = (1/2)(17) = 8.5 . . . . mm²/min

The area is increasing at the rate of 8.5 mm²/min.

Solution based on numbers

Take a look at the triangle dimensions.

01 minute before and 01 minutes after the moment of interest Previously, the base was 5 + 0.13 = 5.13 mm, while the height was 1 - 0.06 = 0.94 mm. After: base = 5 -0.13 = 4.87 mm; height = 1 +.06 = 1.06 mm; area = 2.4111 mm2. 2.5811 mm2 area

The average rate of change throughout that time period is (2.5811 -2.4111)/0.02 =.17/.02 = 8.5... mm2/min.

It should be noted that we assumed the base is dropping at a rate of 13 mm/min. We're not sure whether this isn't 1/3 mm/min because division bars frequently get lost on Brainly. At the anticipated pace, the triangle will vanish in 5/13 minutes, or around 23.08 seconds, when the base reaches zero. Of course, it only existed for 1/6 minute (10 seconds) when the height reached non-zero.

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Answer:

Step-by-step explanation:

42.3 x 1 = 42.3

42.3 x 10= 423

42.3 x 10^2=

    10 x 10 =100

42.3 x 100=4230

The sample of 800 residents to analyze the voting habit is not large enough because there can be a selection bias the solution is explained below.

In the question ,

it is given that ,

a sample of 800 residents of a city is taken to analyze the voting habits of all the residents ,

the population of the city is given as 150000 residents ,

In general, a sample of 800 people in a city of 150,000 is not large enough to analyze the voting habits. With the given sample size, there is a high chance that we will miss out to analyze many people with different voting habits.

If the margin of error in analyzing the voting habits is very large , then only we can consider a sample of 800 people.

Therefore , the sample of 800residents  can only be considered if the margin of error is very high .

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All the individuals who have recently broken up with a significant other is the population in this study answer to this question.

The study of statistics includes the collection, examination, analysis, and interpretation of data as well as methods for doing so. Statistics can be divided into two main categories: descriptive statistics and inferential statistics.

given,

Yael examined the texts, emails, and social media posts of 32 people who had recently split up with their partners. Her results are published in the Almanac of Doubtful Statistics.

People who just broke up with a significant other who have pledged to return to that in a moment on social media, cell phone, or internet service providers.

Keep in mind that this is about the users, not the providers, and is being done for social and behavioral science study.

All the individuals who have recently broken up with a significant other is the answer to this question.

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The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

A number system is defined as a system of writing to express numbers.

Given,

I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.

We need to find the suitable integer in the blank.

The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level

Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.

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$24.34 on each student  on pae and $7.55125 is spent on each student on lunch.

Money is a good that is widely acknowledged as a means of economic exchange.

there are 32 people all together in a field trip to the zoo

so therefore;

Amount spent on a student for pae:

$778.88=32 people

x = 1 person

cross multiply

32x=$778.88

divide both sides by 32

x=778.88/32

x=$24.34

therefore $24.34 is spent on each student on pae

Amount spent on a student for lunch:

$241.64=32 people

x = 1 person

cross multiply

32x=$241.64

divide both sides by 32

x=$241.64/32

x=$7.55125

therefore $7.55125 is spent on each student on lunch.

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The value of x, if In triangle ABC, AC = 18, BC = 30 is 24.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

In triangle ABC, AC = 18, BC = 30

As we know, if a tangent is drawn from the circle then it will form a right-angled triangle thus, ∠ ABC = 90°,

Calculate the value of x by using Pythagoras' theorem as shown below,

[tex]x^2 = BC^2 - AC^2[/tex]

x² = 30² - 18²

x = √(900 - 324)

x = √576

x = 24

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Answer:

there are 22 boys and 40 girls

Yes, because the slope of OR times the slope of

QR equals -1.

Option C is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of QR is 5y = -4x + 41.

QR is tangent to the circle at R(4, 5) if the radius of the circle is perpendicular to QR.

This means,

The slope of the radius x Slope of the line QR = -1

Now,

The centre of the radius 0 = (0, 0)

R = (4, 5)

OR is the radius.

The slope of the radius.

= 5/4

Now,

5y = -4x + 41

y = (-4/5)x + 41

The slope of QR.

= (-4/5)

Now,

The slope of the radius x Slope of the line QR = -1

5/4 x -4/5 = -1

-1 = -1

Thus,

QR is tangent to the circle O at R(4, 5).

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New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity

The speed at which one body orbits the other body is known as the orbital velocity. The term "orbit" refers to an object's consistent circular motion around the Earth. The distance between the object and the earth's center determines the orbit's velocity.

According to the given information

When the radius given is r

Orbital Velocity = [tex]\sqrt{\frac{Gm}{r} }[/tex]

V = [tex]\sqrt{\frac{Gm}{r} }[/tex]

Here

V = orbital Velocity

G = Gravitational Constant

m = mass of Satellite

r = radius

When radius = 6r

Orbital Velocity = [tex]\sqrt{\frac{Gm}{5r} }[/tex]

New V = [tex]\frac{1}{\sqrt{6} }[/tex] × [tex]\sqrt{\frac{Gm}{r} }[/tex]

New V = [tex]\frac{1}{\sqrt{6} }[/tex] × V

So

New orbital Velocity is [tex]\frac{1}{\sqrt{6} }[/tex] times the Actual orbital velocity

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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