Where each input has only one output value is called a(n)

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicu

Sphinxa [80]

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

6 0

3 years ago

Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the

harina [27]

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

np = 1030(103/1030) = 103 ✓
nq = 1030(927/1030) = 927 ✓

10% condition: The sample cannot be greater than 10% of the population.

10n < N, 10(1030) < 200000 ✓

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find $\hat{p}$ , the sample proportion.

103/1030 = .1

$\hat{q}$ , then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

$\hat{p}$ ± z* $\sqrt{\frac{\hat{p}\hat{q}}{n} }$

.1 ± 1.96 $\sqrt{\frac{.1*.9}{1030} }$

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

5 0

3 years ago

F(x) = 4* How to evaluate

photoshop1234 [79]

Answer:fx=4

Step-by-step explanation:

fx=4

7 0

3 years ago

Bonjour je ne comprend pas cette exercice; si quelqu'un peut m'aider je suis preneuse.

gayaneshka [121]

Answer:

0,24 m

Step-by-step explanation:

La table est un rectanble donc l'angle en haut à droite est de 90°.

Tu connais donc un angle et le côté opposé à l'angle et tu cherche le côté adjacent.

On sait que tan(â) = $\frac{Cote oppose}{Cote adjacent}$ donc :

tan(40)= $\frac{1,27}{x}$

$\frac{1,27}{tan(40)} = x$

donc x ≈ 1,51 m

Le trou du mileu est à $\frac{2,54}{2}$ soit 1,27m du bord.

Donc elle doit taper à 1,51 - 1,27 = 0,24m du trou du milieu.

j'espère avoir été clair.

<h2 />

8 0

2 years ago

grace and her friends were to roll the two dice 100 times, how many of the 100 times could they expect to roll the same number o

LenaWriter [7]

Answer:

The probability of both dice having the same number is 636, as there are 36 different outcomes, 6 of which have two of the same number, i.e. (1,1),(2,2),....

The expected number of rolls of this type in 100 pairs of dice rolls is 100∗636

4 0

2 years ago