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3 years ago

Find 3 consecutive even integers such that the sum of the 2 smaller is 10 more than the largest

Mathematics

1 answer:

qaws [65]3 years ago

7 0

<span>Let n, n+2, and n+4 represent the three consecutive even integers.</span>

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Write the equation of the line, given the y- and x-intercepts:

sasho [114]

Answer:

y=2x+19

Step-by-step explanation:

Slope: 0-19/-9.5-0=-19/-9.5=2

y-intercept: 19

3 0

3 years ago

Read 2 more answers

Easier way to learn multiplication

joja [24]

Do this every day
1x1=

2x1

3x1

4x1

5x1

6x1

AND SO ON JUST DO TABLE BY TABLE

6 0

3 years ago

A restaurant offers the following limited lunch menu:. Main Courses: Beef, Pork Roast, Duck, Quiche. Vegetables: Broccoli, Carro

max2010maxim [7]

The correct answer to this question is "120 ways"

Main Courses consists of Beef, Pork Roast, Duck, Quiche (4), Vegetables consists of Broccoli, Carrots, Potatoes (3), Beverages consists of Coffee, Tea, Milk, Soda and Shakes (5), Desserts consists of Ice Cream, Brownies (2)

The total number of ways can be solved as: 4 * 3 * 5 * 2 = 120

5 0

4 years ago

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

How many ways can 6 people sit on a bench if 3 of them have to sit side by side

pickupchik [31]

Answer:

144 ways

Step-by-step explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

4 0

3 years ago