Find the z-score location of a vertical line that separates anormal distribution as described in each of the following.a. 15% in the tail on the rightb. 40% in the tail on the leftc. 75% in the body on the rightd. 60% in the body on the left

The slope of the line graph is -1.

The slope of a line is the change in the dependent variable with respect to the change in the independent variable.

The slope is rise over run.

Therefore,

slope = y₂ - y₁ / x₂ - x₁

Using (3, -3) and (-2, 2)

Therefore,

x₁ = 3

x₂ = - 2

y₁ = -3

y₂ = 2

Hence,

slope  = 2 + 3 / -2 - 3

slope = 5 / -5

Therefore,

slope = - 1

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To determine the probability of selecting a classical deck of card

(a) Probability of selecting a 7 or club

(b) Probability of selecting a face card or heart

(c) Probability of selecting both a face card and a club

Step 1 :

We use the Intersecting Chord Theorem which states that :

When two chords intersect each other inside a circle, the products of their segments are equal.

This theorem states that A×B is always equal to C×D

(no matter where the chords are).

From the question, A = 15, B = 12, C = ? , D = 18

Step 2 :

Using the equation, where AB = CD

CONCLUSION :

The value of C = 10 units

You can use number line or inequalities to compare the temperatures of this three different cities.

Using number line to compare the temperatures 2.5, -3.5 F and -5 F

Using inequality

In order to prove that the triangles are congruent, we can write the following statements and reasons:

first box in the first row:

statement: BD bisects angle ABC

reason: given

first box in the second row:

statement: angle ABD congruent to angle DBC

reason: A segment bisector divides a segment into two congruent segments.

second box in the second row:

statement: angle ADB congruent to angle BDC

reason: given

third box in the second row:

statement: side AB congruent to side BC

reason: given

Since we have two pairs of congruent angles and one pair of congruent sides that are not between the angles, we can prove the triangles congruent by case AAS.

So to make equal groups just create the number of groups (divisor, in this case: 4) and insert into that the number of the quotient( in this case: 7)

1) Let's make equal groups for that division since 7 added 4 times is equal to 28:

2) Since 7 x 4 is the same as adding 7 four times, we have above four groups with seven balls that added up yields 28, in each group we have 7 balls.

3) So to make equal groups just create the number of groups (divisor) and insert into that the number of the quotient. Note that this is valid just for exact divisions.

A horizontal line is in the form

y =

This means the x component changes and the y component stays the same

( -7, 10)

The line is in the form

y = 10

x can be any value

The slope is zero since it is horizontal

The point ( 3,10) is on the line

The equation of the line is y = 10

The y intercept is 10 not -7

a. If a friend says his grade is 12 points lower than your grade, it means your grade is greater than his grade, if your grade is represented by x, then the grade of your friend can be found by subtracting 12 from your grade, this can be written as:

b. If x represents your friend's grade instead of yours, then to find your grade you need to add 12 to his grade, it can be represented as:

The correct answers are B. and D.

The expression is given to be:

Rewrite the expression:

Therefore, we have:

Recall the summation identity:

Therefore, we have:

Recall that:

Hence, the equation becomes:

Therefore, we can simplify the expression to be:

The THIRD OPTION is correct.

we know that

total blocks=10

total odd prime numbers------> 3,5,7------> 3 numbers

so

Part 1

The probability of picking an odd prime number is

Part 2

total blocks=10

total numbers greater than zero also a perfect square ------>1,4,9---> 3 numbers

so

The probability is

Answer

Question 3

Largest number where the sum of the digits is 16 is 862

Question 4

The number between 200 band 400 with 6 more tens than ones is 382

Explanation

We can only use numbers from the digit bank to answer this questions.

Question 3

Largest number where the sum of the digits is 16 is 862

Question 4

A number between 200 and 400 with 6 more tens than ones.

Noting that the tens digit is the second digit from the right in a number and the ones digit is the first number from the right for any number.

So, we are asked to form a number whose second number from the right is 6 more than the first number from the right.

So, we can easily see that

The ones number has to be 2

The tens number has to be 8 (Since 8 is 6 more than 2)

Then, for the third and last number, since the number has to be between 200 and 400, the last number has to be 3.

So, the number between 200 band 400 with 6 more tens than ones is 382

Hope this Helps!!!

Given the expression :

The answer will be as follows, add the decimal point and two zeros

See the following picture:

Given the vector represented by:

You know that:

By definition, the Component Form of a vector is:

In this case, you only need to multiply the coordinates of "a" by 8, in order to find the Component Form of:

Therefore, you get:

Hence, the answer is:

Answer:

$8.4

Explanation:

To find how much money you should leave for a tip, we need to find how much is 20% of $42. So, to calculate this, we need to multiply 42 by 20 and then divide by 100, so:

$42 x 20% = 42 x 20 / 100 = 840 / 100 = 8.4

Therefore, the answer is $8.4

Combination:

n is the number of things to choose from, and r is the number of thing

The graph above is a relationship between the amount of oil and the amount of vinegar use to prepare salad dressing. The point 1 is the x axis while the point 1.5 is the y axis .

In terms of the situation if the x axis represents the amount of oil required for the salad dressing and the y axis represents the amount of vinegar , the point (1, 1.5) says for every 1 table spoon of oil required , 1.5 table spoon of vinegar is also used to make the salad dressing.

The selling price of the item is $55.

The money charged by the auction company is;

The fee paid to the auction company is $2.89

You consider each parittion of the axis represents 1 unit.

You can notice that in the given image, the coordinates of the points A, B, C and D are the following:

A(-6,4)

B(-2,1)

C(2,3)

D(-1,-4)

where you have taken into account that point left side of the origin have negative x valuesand points right side have positive x values. Point down side of origin have negative y values and points above origin has positive y values.

ANSWER:

STEP-BY-STEP EXPLANATION:

The first thing is to draw the triangle ABC:

We have that the trigonometric cosine ratio is given as follows

The tangent of an angle, we will follow the steps below

Step 1: Write out the trigonometric ratio to obtain the tangent of an angle

From question 35

Step 2: Apply the tangent ratio

For tan B

Supposing the rate is:

(a) Converting tho mi/day

Knowing that 1 day = 24 hours

The rate is 48 mi/day.

(b) Finding how many days will it take to reach 14 1/2

14 1/2 is the same as 14.5

Dividing 14.5 by 48:

It will take 0.30 days.

(c) Finding when it will reach the destination.

Knowing the rate is 2 mi/hour, let's find how many hours it will take to reach 14.5 miles.

7.25 hours is 7 hours + 1/4 hour (15 min)

So, let's sum 06 (starting time) + 07 hours + 15 min

01:15 pm.

He will reach her destination at 01:15 pm.

Answer:

- (a) The rate is 48 mi/day.

- (b) It will take 0.30 days.

- (c) He will reach her destination at 01:15 pm.

Solution

The surface area of a Triangular prism is given as;

The volume of a triangular prism is given as;

The ratio of surface area to volume of the triangular prism​

Let us represent the premises given:

Then

We can subdivide the argument into substatement

Statement 1: If John is an aardvark then either Charlene has blue eyes or Bob counts

Statement 2: If Charlene has a blue eye then Edna drives a truck

Statement 3: Either John is an aadvark or Dan edits

Statement 4: Moly claims that either Bob counts or Edna drives a truck, but Moly is wrong

Therefor D

The above hypothesis and conclusion can be summarized below as;

Using a truth table calculator, the validity of the above arguments is shown below

Hence, we can conclude that the above is a valid argument.

First box: 10n

2

10n + 2

The area model = 2 (5n + 1)

Thsi can expanded into:

2 (5n) and 2(1)

In the first box:

2 (5n) = 10n

In the second box:

2(1) = 2

In the third box:

2 (5n + 1) = 10n + 2

The diagram illustrating the given scenario is shown below

The triangle formed is a right triangle. From the diagram,

AB = height of pole

angle ACB is the angle between the and the pole

AC is the length of the wire

taking angle 48 as the reference angle,

hypotenuse = AC

adjacent side = BC = 30

θ = 48

We would find AC by applyng the Cosine trigonometric ratio which is expressed as

Cosθ = adjacent side/hypotenuse

By substituting these values into the formua, we have

Cos 48 = 30/AC

By crossmultiplying, we have

AC Cos 48 = 30

By dividing both sides of the equation by Cos 65, we have

AC = 30/Cos48

AC = 44.8

The length of the wire is 44.8 feet

The arc length formula is :

where r = radius

θ = angle in radians

and l = arc length

From the problem, the arc length is 18π/7 and the angle is 6π/7.

Using the formula above :

ANSWER :

The radius is 3

The width of the television is 23 in.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles. The opposite sides of a rectangle are equal and parallel.

Given that, A television's length is 3 inches more than twice its width the perimeter of the television is 144 inches

Perimeter of a rectangle = 2(length+width)

According to question,

l = 3+2w

Therefore,

Perimeter = 2(w + 3+2w) = 144

3w + 3 = 72

3w = 69

w = 23

Hence, The width of the television is 23 in.

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EXPLANATION

The three numbers are 36, 46 and 56. This is because the only three numbers that have 6 ones and wich are included between 30 and 60 are 36, 46 and 56, no other number can comply that condition.

The probability of an event is determined a follows;

We shall begin with the probability of selecting an even number as shown below;

Next we shall calculate the probability of selecting a number less than 5 as shown below;

The probability of event A OR event B occuring is calculated a follows;

The probability of selecting an even number or a number less than 5 is therefore

The correct answer is option A

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

total stars = 9

equal groups = 3

stars per group = ?

1/3 of 9 = ?

Step 02:

stars per group = total stars / equal groups

stars per group = 9 / 3

stars per group = 3

1/3 of 9 = 1/3 * 9 = 9/3 = 3

The answer:

There are 3 stars per group.

1/3 of 9 is 3.