Answer:

**Answer:**

x=8

**Step-by-step explanation:**

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

Answer:

**Answer:**

x = 8

**Step-by-step explanation:**

According to Pythagorean Theorem

here

**Now, **

**AB ****=****x ****=****8**

Solve this simultaneous equation by using substitution method 3x-2y=12 and x+3y=-7

Right triangle ABC is shown. Which of these is equal to cos(A)?A) cos(B) B) cos(C) C) sin(B) D) sin(C)

How can I calculate this expression?

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x, y, and z to be the length, width, and height, respectively, of the box in meters. Then we wish to maximize V

Right triangle ABC is shown. Which of these is equal to cos(A)?A) cos(B) B) cos(C) C) sin(B) D) sin(C)

How can I calculate this expression?

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)

A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x, y, and z to be the length, width, and height, respectively, of the box in meters. Then we wish to maximize V

This is what the distributive property is all about.

4(6x +x) = 4*6x +4*x = 24x +4x

Of course, this can be simplified further by combining the terms.

24x +4x = (24 +4)x = 28x

Equivalent expressions without parentheses are ...

24x +4x

28x

4(6x +x) = 4*6x +4*x = 24x +4x

Of course, this can be simplified further by combining the terms.

24x +4x = (24 +4)x = 28x

Equivalent expressions without parentheses are ...

24x +4x

28x

**Answer:**

The value of *Q* is **350**.

**Step-by-step explanation:**

Denote the events as follows:

* X* = the test is positive

* Y* = the test is negative

* A* = the person is telling the truth

* B *= the person is telling a lie.

It is provided that:

P (B ∩ X) = 0.90

P (A ∩ Y) = 0.50

Then:

P (B ∩ Y) = 1 - P (B ∩ X) = 1 - 0.90 = 0.10

P (A ∩ X) = 1 - P (A ∩ Y) = 1 - 0.50 = 0.50

To test the accuracy of lie-detector a police officer tests 1000 suspected criminals.

It is assumed that 700 per 1,000 suspected criminals tell the truth during polygraph tests.

The table needed to be completed is:

** Truth (A) Lie (B) TOTAL**

**Positive (X)** __ Q__ __ __

**Negative (Y)** __ __ P__ __

**TOTAL **__ __ __

For the 1000 suspected criminals selected complete the table as follows:

Given:

** Truth (A) Lie (B) TOTAL**

**Positive (X)** __ Q__ __ __

**Negative (Y)** __ __ P__ __

**TOTAL **700 300 1000

n (A ∩ X) = P (A ∩ X) × n (A)

= 0.50 × 700

= 350

n (A ∩ Y) = P (A ∩ Y) × n (A)

= 0.50 × 700

= 350

n (B ∩ X) = P (B ∩ X) × n (B)

= 0.90 × 300

= 270

n (B ∩ Y) = P (B ∩ Y) × n (B)

= 0.10 × 300

= 30

n (X) = n (B ∩ X) + n (A ∩ X)

= 270 + 350

= 620

n (Y) = n (B ∩ Y) + n (A ∩ Y)

= 30 + 350

= 380

Complete table is:

** Truth (A) Lie (B) TOTAL**

**Positive (X)** __ Q = 350__ 270 620

**Negative (Y)** 350 __ P = 30__ 380

**TOTAL **700 300 1000

Thus, the value of *Q* is **350**.

Approximately 68.26% of the **measurements **fall between 46 and 74 in this **distribution**.

To find the **proportion **of measurements between 46 and 74 in a normal distribution with a mean (μ) of 60 and a **standard deviation **(σ) of 14, we can use the standard normal distribution (z-score) and the cumulative **distribution **function (CDF).

First, we need to convert the interval **endpoints **to **z-scores** using the formula:

z = (x - μ) / σ

Where x is the value in the interval, μ is the **mean**, and σ is the standard deviation.

For x = 46:

z₁ = (46 - 60) / 14

z₁ = -1

For x = 74:

z₂ = (74 - 60) / 14

z₂ = 1

Using the Excel functions:

=NORM.S.DIST(-1) and =NORM.S.DIST(1)

The **probabilities **are 0.1587 and 0.8413 respectively.

Now, we want the proportion of measurements between z₁ and z₂, which is:

Proportion = 0.8413 - 0.1587

≈ 0.6826

To learn more about the **z-score;**

#SPJ12

**Answer:**

8 inches

**Step-by-step explanation:**

90 miles -------------> represented by 3 inches

1 mile -------------> represented by 3/90 inches

240 miles ----------> represented by 3/90 x 240 = 8 inches

Answer: 62.5 (assuming it flies straight up, because we don't know the speed of the bird going straight, left, right, or back.)

Step-by-step explanation:

They want to know how far the bird flies in a minute. What you do is you use the char to help you figure it out, by dividing the first row both by 2, so it would give the answer under the altitude column.

**Answer:**

other x values are -5,-4

**Step-by-step explanation:**

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6 1 15 74 120

0 -6 - 54 -120

-------------------------------------------------

1 9 20 0

the quotient is

now factor the left hand side, product is 20 and sum is 9

So other x values are -5,-4