Find the value of z such that 0.11 of the area lies to the right of z. Round your answer to two decimal places.

Answers

Answer 1

Answer:

Final answer:

To find the value of z such that 0.11 of the area lies to the right of z, use the standard normal probability table. The value of z is approximately 1.96.

Explanation:

To find the value of z such that 0.11 of the area lies to the right of z, we can use the standard normal probability table. The area to the right of z is equal to 1 minus the area to the left of z.

Using the information given, the area to the left of z that corresponds to a value of 0.025 is 0.975. The area to the left of 1.96, which can be found using the standard normal probability table, is 0.975.

Therefore, the value of z is approximately 1.96.

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Answer 2

Answer:

Answer:

1.23?

Step-by-step explanation:

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Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?

Answers

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

Solve for XHello, my daughter needs help with Trigonometry. I was never very gifted at math, and cannot remember too much about this subject. Please Help!

Answers

ANSWER:

The value of x is 25

STEP-BY-STEP EXPLANATION:

We can calculate the value of x by means of the Pythagorean theorem that says the following:

$\begin{gathered} h^2=a^2+b^2 \n h=x \n a=7 \n b=24 \end{gathered}$

replacing:

$\begin{gathered} x^2=7^2+24^2 \n x^2=49+576 \n x=\sqrt[]{625} \n x=25 \end{gathered}$

Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?

Answers

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

Answer:

(a + b + c)/2

Step-by-step explanation:

;)

What are the coordinates of point b on ac such that ab=2/5ac

Answers

Answer:

$(-(36)/(7),(40)/(7))$

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = $(mx_2+nx_1)/(m+n)$

and y = $(my_2+ny_1)/(m+n)$

where $(x_1, y_1)$ and $(x_2,y_2)$ are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = $(2* 2+(-8)* 5)/(2+5)$

= $-(36)/(7)$

y = $(2* 5+5* 6)/(2+5)$

= $(40)/(7)$

Therefore, coordinates of pint B will be,

$(-(36)/(7),(40)/(7))$

Final answer:

The coordinates of B on segment AC such that AB=2/5AC are given by line segment division theorem as ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7), where A is (x1, y1) and C is (x2, y2).

Explanation:

The question is asking for the coordinates of point B on line segment AC such that the length of AB is 2/5 times the length of AC.

Since we don't have any specific coordinates for points A, B and C, we can't determine exact coordinates for point B. However, we can describe how to find B based on given points A and C.

If A and C have coordinates (x1, y1) and (x2, y2), respectively, then the coordinates of B can be found using the theorem of line segment division. This theorem says that the coordinates of the point dividing a line segment in the ratio m:n are given by:

((mx2 + nx1) / (m+n) , (my2 + ny1)/ (m+n))

Given the ratio is 2:5, m is 2 and n is 5, substitute the values into the formula:

((2x2 + 5x1) / (2+5) , (2y2 + 5y1)/ (2+5))

So, point B is at ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7).

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Analyze the biconditional statement below and complete the instructions that follow.A polygon is a pentagon if and only if it has five sides.

Express the given biconditional as the conjunction of two conditionals.

A.
If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.
B.
If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon.
C.
If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.
D.
If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon

Answers

Answer:

D. If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon

Step-by-step explanation:

Given statements;

A polygon is a pentagon if and only if it has five sides.

From the statement we see that a pentagon has 5 sides.
A body of this structure with 5 sides can be classified as a polygon.

Therefore, this bi-conditional statement is premised on two "if"s,

If it is a pentagon then we are dealing with a body with 5 sides.

And if such body has five sides, it is a polygon called pentagon

The correct option is D

Choice A, B and C are logically flawed.

A. If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.

The emboldened part we do not know.

B. If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon

The emboldened part is flawed.

C. If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.

We do not know if all pentagons have 5 sides.

Final answer:

The conjunction of two conditional statement for the biconditional 'A polygon is a pentagon if and only if it has five sides' is 'If it is a pentagon, then it has five sides' and 'If a polygon has five sides, then it is a pentagon'.

Explanation:

The given biconditional statement 'A polygon is a pentagon if and only if it has five sides' can be split into two conditional statements as follows: 'If it is a pentagon, then it has five sides' and 'If a polygon has five sides, then it is a pentagon'.

These two separate conditional statements show both possible directions of the biconditional statement. Option D correctly represents these two conditions as the conjunction of two conditional statements.

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Which expression is equivalent to b^m x b^n? A. b^m+n B. b^m-n C. b^mx n D. b^m/n

Answers

Answer:

The expression which is equivalent to

$\rightarrow b^m * b^n\n\n=b^(m+n)\n\n\rightarrow x^a*x^b=x^(a+b)$

Option A

The formula for multiplying exponents are such below.

(b^m)^n = b^mn
b^m/b^n=b^(m-n)
b^m x b^n=b^(m+n)

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