Select the correct answer.

Find the product. (6 - d)(d 2 - 5 + 3d)

Delvig [45]

(6−d)(d^2−5+3d)=(6+−d)(d^2+−5+3d)=(6)(d^2)+(6)(−5)+(6)(3d)+(−d)(d^2)+(−d)(−5)+(−d)(3d)=6d^2−30+18d−d^3+5d−3d^2
= −d3^+3d^2+23d−30

6 0

3 years ago

a. A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college s

lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

$P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%$

The probability is 0.01083 or 1.083%.

8 0

3 years ago

PLEASE HELP FAST QUESTION IN PHOTO WILL PICK IF CORRECT

Elenna [48]

4 2/11 = 4.1818181

sqrt5 = 2.2360679......

3/16 = 0.1875

answer:
3/16 terminates ( it only has 4 numbers)

4 2/11 don't terminate but keeps repeating

sqrt5 doesn't terminate or repeat

5 0

3 years ago

Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers

monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
-5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d) | 11-5|×|1-5|

| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0

3 years ago

10 points

oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :

$\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}$

So, the distance the diver must swim up to the boat is 240 feet.

6 0

3 years ago