Answer:
The answer is x= -1.9.
Use the 3 to multiply the number and the letter in the bracket... which is...
3x-24=-29.7.
3x=-29.7+24.
3x=-5.7.
x=-5.7/3.
x=-1.9.

Break the expression into group:

factor out x from 4x² - 5x : x (4x-5)
factor out 3 from 12x-15 : 3 (4x-5)

factor out common term (4x-5) :

hope this helps!
Given:
Circular racetrack with a diameter of 1/2 mile
Find: how far does a car travel in one lap around the track?
We need to find the circumference of the racetrack.
Circumference is multiplying pi to the diameter of the racetrack.
Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
Answer:
1a. p0= 0.714
1b The result is not reasonably close to the value of 3/4 that was expected
Step-by-step explanation:
1a.Since One sample of offspring contained 376 green peas and 150 yellow peas therefore the probability of getting an offspring pea that is green will be:
Green pea/(Green pea+ Yellow pea)
p0= 376 /(376+150)
p0=376/526
Probability of getting Green pea = 0.714
1b.The result is not reasonably close to the value of 3/4 that was expected.
Answer:
95% Confidence interval for the variance:

95% Confidence interval for the standard deviation:

Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is

The confidence interval for the variance is:

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

Then, the confidence interval can be calculated as:

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:
