Pls help urgently extra points and mark brainlist

The graph shows the number of tacos ordered and the cost.<br> What is the unit rate?

Pie

(2,1), (4,2), (6,3) or (8,4) are the numbers we will use to find the first differences which will give us the unit rate

2/1 = 2
4/2= 2
6/3= 2
8/4= 2

therefore this graph is linear and its unit rate is 2.

3 0

3 years ago

The mean incubation time of fertilized chicken eggs kept at 100.5 degree F in a still-air incubator is 21 days. Suppose that the

Nitella [24]

Given Information:

Mean incubation time = 21 days

Standard deviation of incubation time = 1 day

Required Information:

a) P(X < 20) = ?

b) P(X > 22) = ?

c) P(19 < X < 21) = ?

Answer:

a) P(X < 20) = 15.87

b) P(X > 22) = 15.87

c) P(19 < X < 21) = 47.23%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

a) We want to find out the probability that a randomly selected fertilized chicken egg hatches in less than 20 days.

$P(X < 20) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 20) = P(Z < \frac{20 - 21}{1} )\\\\P(X < 20) = P(Z < \frac{-1}{1} )\\\\P(X < 20) = P(Z < -1)\\$

The z-score corresponding to -1 is 0.1587

$P(X < 20) = 0.1587\\\\P(X < 20) = 15.87 \%$

Therefore, the probability that a randomly selected fertilized chicken egg hatches in less than 20 days is 15.87%

b) We want to find out the probability that a randomly selected fertilized chicken egg takes over 22 days to hatch?

$P(X > 22) = 1 - P(X < 22)\\\\P(X > 22) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 22) = 1 - P(Z < \frac{22 - 21}{1} )\\\\P(X > 22) = 1 - P(Z < \frac{1}{1} )\\\\P(X > 22) = 1 - P(Z < 1)\\$

The z-score corresponding to 1 is 0.8413

$P(X > 22) = 1 - 0.8413\\\\P(X > 22) = 0.1587\\\\P(X > 22) = 15.87 \%$

Therefore, the probability that a randomly selected fertilized chicken egg takes over 22 days to hatch is 15.87%

c) We want to find out the probability that a randomly selected fertilized chicken egg hatches between 19 and 21 days?

$P(19 < X < 21) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(19 < X < 21) = P( \frac{19-21}{1} < Z < \frac{21 - 21}{1} )\\\\P(19 < X < 21) = P( \frac{-2}{1} < Z < \frac{0}{1} )\\\\P(19 < X < 21) = P( -2 < Z < 0 )\\$

The z-score corresponding to -2 is 0.0227 and 0 is 0.50

$P(19 < X < 21) = P( Z < 0 ) - P( Z < -2 ) \\\\P(19 < X < 21) = 0.50 - 0.0227 \\\\P(19 < X < 21) = 0.4723\\\\P(19 < X < 21) = 47.23 \%$

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 47.23%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.0, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.00 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0

4 years ago

Hank's pickup can travel 72 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 54 miles?

Ira Lisetskai [31]

Answer:

3 gallons of gas

Step-by-step explanation:

First we need to create the ratio to build our answer off of.

This ratio would be 72:4, meaning 72 miles for every 4 gallons.

We can divide 72 by 4 to find the unit rate.

72 / 4 = 18

So, the unit rate is 18 miles for every 1 gallon.

Next we need to figure out how may gallons are needed to travel 54 miles.

We can divide 54 by 18 to receive 3.

This means that our ratio needed to answer the question is 3 times the unit rate.

Our new ratio is now: 54:m, m meaning miles.

To find the amount of miles, multiply the 3 we used later, to make this ratio 3 times the unit rate.

So, our final ratio is 54:3,

meaning that Hank will have used 3 gallons of gas after traveling 54 miles.

5 0

3 years ago

What are linear equations

Dominik [7]

A linear equation is an equation in which the highest power of the variable is always

5 0

3 years ago

Read 2 more answers

Write the slope intercept form of an equation with a slope of 5 and y-intercept of -4

Delvig [45]

Answer:

y = 5x - 4

Step-by-step explanation:

5 is the slope so it goes in front of the x and -4 is the y Intercept so it goes last.

5 0

3 years ago