All categories

3 years ago

The sum of four consecutive odd integerd is -72.

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

n, n + 2, n + 4, n + 6 - four consecutive odd integers

-72 - the sum

The equation:

n + (n + 2) + (n + 4) + (n + 6) = -72

n + n + 2 + n + 4 + n + 6 = -72

4n + 12 = -72 |subtract 12 from both sides

4n = -84 |divide both sides by 4

n = -21

n + 2 = -21 + 2 = -19

n + 4 = -21 + 4 = -17

n + 6 = -21 + 6 = -15

Answer: -21, -19, -17, -15.

You might be interested in

Find the area of the figure. 5ft 85° 9ft

Natali5045456 [20]

Answer:

where is your figure

Step-by-step explanation:

8 0

3 years ago

Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

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.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

2 years ago

Consider the system of linear equations and the matrix equations below.

gregori [183]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

$x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}$

x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

x = 7

4 0

2 years ago

Question 15

Hoochie [10]

Answer:

10% chance or 1/10

Step-by-step explanation:

5 out of the 100 cards are free lunches simplified it would be

1/10

8 0

3 years ago

Read 2 more answers

Which explanation correctly solves this problem?

Molodets [167]

Hello!

The Correct Answer for this Question would be:

"Start with 10.5. Add 3.5 and 10.5. Add 2.25 to the sum. Then add 5 to the answer."

In Other Words, Option "B".

Hope this Helps! Have A Wonderful Day! :)

8 0

3 years ago

Read 2 more answers