Answer:
.1438848921
Step-by-step explanation:
you divide 1.2 by 8.34 then multiply it by 8.34 to check
The distance covered by the train in 3.5 seconds will be 1575 feet.
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A train travels 45 feet in 1/10 in a second.
Then the speed will be
Speed = 45 / (1/10)
Speed = 45 x 10
Speed = 450 feet per second
The distance covered by the train in 3.5 seconds will be
Distance = 450 x 3.5
Distance = 1575 feet
More about the speed link is given below.
#SPJ2
Answer:
1575 ft
Step-by-step explanation:
Convert 1/10 to decimal to make the math simpler.
1/10 = 0.1
Divide 3.5 by 0.1.
3.5/0.1 = 35
Multiply 35 by 45.
35 × 45 = 1575
The train will travel 1575 feet in 3.5 seconds.
b. Using a critical value, test the null hypothesis at the 5% level of significance.
c. Using a p-value, test the hypothesis at the 5% level of significance.
d. What type of error may have been committed for this hypothesis test
Answer:
a)
b) The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.
c) The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.
d) In this case, the error we may hae comitted is a Type II error (failed to reject a null hypothesis that is false).
Step-by-step explanation:
We have to perfomr a hypothesis test on the mean, with known standard deviation of the population.
a) The null hypothesis is that the deliver time is 15 days or less.
The null and alternative hypothesis are then:
The significance level is defined as 0.05.
b) The critical value of z for a one-side test (rigth side) and a significance level of 0.05 is z=1.645.
If the z-value for this sample is higher than 1.645, it is in the "rejection region".
Calculating the z-value:
The z-value (1.5) is smaller than z=1.645 (critical value), so it is in the "acceptance region". It failed to reject the null hypothesis.
c) The p-value for z=1.5 is:
The p-value (0.07) is greater than the significance level (0.05), so it failed to reject the null hypothesis.
d) There are two types of error:
Type I errors: happen when we reject a null hypothesis that is true.
Type II errors: happen when we failed to reject a null hypothesis that is false.
In this case, the error we may hae comitted is a Type II error.
The null hypothesis at 5% significance level is 1.50
Data;
The alternative hypothesis are
H_o = mean = 15
standard deviation = 5.6 days
using z-test,
n is greater than or equal to 30
Assuming standard deviation is known
z-critical value is 1.96 at 95% confidence level.
Since z-critical value is greater than the test statistic, so we tail to subject H_o.
There's no evidence that mean delivery time is different from 15 days.
Learn more on hypothesis here;
question is below
The missing justification is for the statement that three angles add to a particular angle. The appropriate choice is ...
... c. Angle Addition Postulate
A.16
B.64
C.256
D.none of these
Answer:
64π in²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
where r is the radius.
The radius of a circle is half the diameter. For the circle shown, the radius is ...
r = d/2 = (16 in)/2 = 8 in
Then the area is ...
A = π(8 in)² = 64π in²
_____
Often, units are left off, so the appropriate choice might be 64π.
_____
If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.
* 7x^2 - 6y^2 + 3x
* 9x^2 - 6y^2 + 3x
* 9x^2 - 12y^2 + 3x
* 9x^2 - 12y^2 - 11x
The sum of the polynomials is 4x² - 12y² - 11x. The correct answer is an option (D) 4x² - 12y² - 11x.
A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomials are given as follows:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
By combining like terms, we can add the polynomials:
(8x² - 9y² - 4x) + (x² - 3y² - 7x)
= 8x² - 4x² - 9y² - 3y² - 4x - 7x
= 4x² - 12y² - 11x
Therefore, the sum of the polynomials is 4x² - 12y² - 11x.
Hence, the correct answer is option (D) 4x² - 12y² - 11x.
Learn more about the polynomial here:
#SPJ7
Answer:
Option D
Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
8x^2+x^2-9y^2-3y^2-4x-7x
9x^2-12y^2-11x