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3 years ago

What statement is true about - 14 and -8?

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Answer:

they are both negative numbers and -14 < -8 (less than)

Step-by-step explanation:

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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

Vlad1618 [11]

Answer:

The critical region for α= 0.05 is Z > ± 1.645

The calculated value of Z= 1.100

Step-by-step explanation:

The null and alternate hypotheses are given

H0: μ ≤ 43

H1: μ > 43 one tail test

∝= 0.05

n= 29

Standard Deviation= s= 4.1

Mean = μ0 = 44

For one tail test the z value of α= ± 1.645

The critical region for α= 0.05 is Z > ± 1.645

The test statistic is given by

z=μ0-μ/ s/√n

Z= 44-43/4.1/√29

Z= 1/4.1/√29

Z= 1.100

Since the calculated value Z= 1.100 does not fall in the critical region , We reject H0 and may conclude that the mean number of calls per salesperson per week is not more than 43

7 0

3 years ago

Choose the equation below that represents the line that passes through the point (7,2) and has a slope of -3

True [87]

Answer: y = - 3 + 2x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve 2/3-4x+7/2=-9x+5/6 A.x=-3/2 B.x=-2/3 C.x=2/3 D.x=3/2

pav-90 [236]

The answer to the question

8 0

3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

Arithmetic Sequence

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

Set of whole numbers less than 24

Dmitry_Shevchenko [17]

Answer:

2,4,6,8,10,12,14,16,18,20,,22

Step-by-step explanation:

4 0

3 years ago