5z^3-2z^4-9z^2+z5z <br> What is the degree of the polynomial?

saveliy_v [14]

Area= Length x Width
7: 48m 2
8: 78.37375 ft 2

8 0

2 years ago

The ages of dogs at an animal shelter are normally distributed with a mean of 3.9 years and a standard deviation of 1.2 years.

Aleks [24]

Answer:

<u>The correct answer is A. 1.86 years</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean of the dogs at an animal shelter = 3.9 years

Standard deviation = 1.2 years

2. What is the age of a dog at the shelter with a z-score of −1.7 ?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a z-score of - 1.7 for the ages of dogs is:

-1.7 * 1.2 = -2.04

Now, we calculate the value using the mean, this way:

3.9 + -2.04 = 3.9 - 2.04 = 1.86

<u>The correct answer is A. 1.86 years</u>

Note: Same answer to question 14270011, answered by me today.

3 0

2 years ago

Brian invests £6500 into his bank account.

Mashcka [7]

Answer:

approximately 11 years

Step-by-step explanation:

Use the compound interest formula:

A = P(1+r)^n, where r is the annual interest rate as a decimal fraction and t is the number of years.

Here we have:

(10000 pounds) = (6500 pounds)(1 + 0.04)^t and must find the value of t.

Solve for (1.04)^t by dividing both sides of this equation by (6500 pounds):

1.5385 = 1.04^t

Take the log of both sides:

log 1.5385 = t*log 1.04, or

log 1.5385

t = -------------------- = (0.1871)/0.0170 = 10.98, or approximately 11 years

log 1.04

8 0

2 years ago

Find a quadratic equation with integer coefficient ,if one of the roots is 7-root3

solmaris [256]

One of the roots of a quadratic equation is 7 - √3.

Because rational roots occur in conjugate pairs, the other root is 7 + √3.
The quadratic equation is
(x -(7-√3))(x - (7+√3))
= x² - (7+√3)x - (7-√3)x + (49-3)
= x² - 7x - (√3)x - 7x + (√3)x + 46
= x² - 14x + 46

Answer: x² - 14x + 46

6 0

2 years ago

Find the x-intercepts of the parabola with vertex (5,-12) and y-interdept (0,63). Write your answer in this form: (x1,y1), (x2,V

VLD [36.1K]

The x-intercepts of the parabola are (3, 0) and (7,0)

<h3>How to determine the x-intercept?</h3>

The given parameters are:

Vertex (h, k) = (5, -12)

Point (x, y) = (0, 63)

The equation of a parabola is:

y = a(x - h)^2 + k

Substitute (h, k) = (5, -12)

y = a(x - 5)^2 - 12

Substitute (x, y) = (0, 63)

63 = a(0 - 5)^2 - 12

Evaluate

63 = 25a - 12

Add 12 to both sides

25a = 75

Divide by 26

a = 3

Substitute a = 3 in y = a(x - 5)^2 - 12

y = 3(x - 5)^2 - 12

Set y to 0 to determine the x-intercepts

0 = 3(x - 5)^2 - 12

Add 12 to both sides

3(x - 5)^2 = 12

Divide by 3

(x - 5)^2 = 4

Take the square root of both sides

$x - 5 = \pm 2$

Add 5 to both sides

$x = 5 \pm 2$

Expand

x = (5 - 2, 5 + 2)

Evaluate

x = (3, 7)

Hence, the x-intercepts of the parabola are (3, 0) and (7,0)

5z^3-2z^4-9z^2+z5z What is the degree of the polynomial?