What is the value of x? -2x = 8

What is the slope of y = - 1 + 3x

mihalych1998 [28]

Answer:

Slope m = 3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -1 + 3x

Step 2: Rewrite

Rearrange

y = 3x - 1

Step 3: Break Function

Identify parts

Slope m = 3

y-intercept b = -1

8 0

3 years ago

The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among

jeyben [28]

Answer:

(a) The value of P (None) is 0.062.

(b) The value of P(at least one) is 0.938.

(c) The value of P(at most one) is 0.253.

(d) The event is not unusual.

Step-by-step explanation:

Let X = number of households watching the show.

The probability of the random variable x is, P (X) = p = 0.18.

The sample selected for the survey is of size, n = 14

The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.

The probability of a Binomial distribution is computed using the formula:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

(a)

Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:

$P(X=0)={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}=1\times1\times0.06214=0.062$

Thus, the value of P (None) is 0.062.

(b)

Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-0.062\\=0.938$

Thus, the value of P(at least one) is 0.938.

(c)

Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:

P (X ≤ 1) = P (X = 0) + P (X = 1)

$={14\choose 0}(0.18)^{0}(1-0.18)^{14-0}+{14\choose 1}(0.18)^{1}(1-0.18)^{14-1}\\=0.062+0.191\\=0.253$

Thus, the value of P(at most one) is 0.253.

(d)

An event that has a very low probability of occurrence is known as an unusual event.

The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.

This probability value is not low.

Hence, the event is not unusual.

5 0

3 years ago

The expression 3 ( 1 . 5 )^ t models the number of bacteria in a culture as a function of the number of hours since the culture

Masteriza [31]

Answer:

A

Step-by-step explanation:

Given

3 $(1.5)^{t}$

When the culture was created t = 0, thus

3 $(1.5)^{0}$ = 3 × 1 = 3

That is there were initially 3 bacteria in the culture → A

4 0

3 years ago

Ok so this isn't actual homework but I need help calculating this.

jeka57 [31]

Ok so there is 60 minutes in an hour and you have 107 minutes so
107-60 = 47 ( 60 has become an hour)

So we are left with 47 minutes, so add the hour to 7:45 which will make it 8:45 pm
Then add 15 to make it 9:00 pm ( 47 - 15 = 32)

And so then add 32 minutes to 9:00 pm

Answer is 9:32 p.m.

7 0

3 years ago

One can convert temperature from Kelvin into Fahrenheit using the formula F=95(K−273)+32. What is the temperature in Kelvin corr

DiKsa [7]

Answer:

The temperature in Kelvin corresponding to F degrees Fahrenheit is $K=\frac{F-32}{95}+273$