What is the relation between angles x and y?

Plot the x- and y-intercepts to graph the equation. y=−12x−3

Lisa [10]

X-intercept; -.25
y-intercept; -3

8 0

2 years ago

Read 2 more answers

Evaluate log12y2, given log12y = 16.

serg [7]

Answer:

Its a i just took the test

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using

AlladinOne [14]

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

Explanation:

Binomial experiments are modeled by the formula:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Where

P(X=x) is the probability of exactly x successes

$C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}$

p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.

n is the number of trials

1 - p is the probability of fail

there are only two possible outcomes for each trial: success or fail.

a.) P (x=1)

$P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526$

b.) P (x=5)

$P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206$

c.) P (x=3)

Using the same formula:

$P(X=3)=0.18522$

d.) P (x less than or equal to 3)

P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

P(X=4) = 0.059335
P(X=5) = 0.010206
P(X=6) = 0.000729

P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

e.) P(x greather than or equal to 5)

P(X≥5) = P(X=5) + P(X=6)

P(X≥5) = 0.010206 + 0.000729 = 0.010935

f.) P(x less than or equal 4)

P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)

P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065

5 0

3 years ago

Topic/what am learning:

zloy xaker [14]

4 7/8 + 11 1/2 = 16 3/8
4 + 7/8 + 11 + 1/2
4 + 11 = 15
7/8 + 1/2 = 7/8 + 4/8 = 11/8
11/8 = 1 3/8
15 + 1 + 3/8 = 16 3/8

3 0

2 years ago

The scatter plot shows the average heights of children up to age 5.

Over [174]

Answer:

(a) $y = 4.5x + 22$ -- The equation

(b) 31 inches

Step-by-step explanation:

Given

See attachment

Solving (a): The equation of the trend line.

We start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (0,22)$

$(x_2,y_2) = (4,40)$

So, we have:

$m = \frac{40 - 22}{4 - 0}$

$m = \frac{18}{4}$

$m = 4.5$

The equation is then calculated using:

$y = m(x-x_1)+y_1$

Where:

$(x_1,y_1) = (0,22)$

$m = 4.5$

$y = 4.5(x - 0) + 22$

Open bracket

$y = 4.5x - 0 + 22$

$y = 4.5x + 22$

(b) The height of a 2 year old.

To do this, we substitute 2 for x in $y = 4.5x + 22$

$y = 4.5 * 2 + 22$

$y = 9+ 22$

$y = 31$

The prediction is 31 inches

7 0

2 years ago