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3 years ago

Find the common difference of the arithmetic sequence. 4, 10, 16, 22, . . .

Mathematics

2 answers:

victus00 [196]3 years ago

7 0

Answer:6

Step-by-step explanation:

1) 10-4=6

2) 16-10=6

3) 22-16=6

Tpy6a [65]3 years ago

4 0

Answer:

Step-by-step explanation:

10 - 4 = 6

16 - 10 = 6

22 - 16 = 6

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(x+0)(x-3)(x+0)(x+5)

pshichka [43]

Answer:

x^2 + 2x - 15

Step-by-step explanation:

(x-3)(x+5) = x^2 + 2x - 15

hope this helps, pls mark brainliest :D

3 0

3 years ago

Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

postnew [5]

Answer:

The average cost of each dinner at Dave's party is <u>$5.79</u>.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

7 0

3 years ago

Which of the following is the equation of a horizontal line

ICE Princess25 [194]

The point (a,b) is (5,7) . Therefore, the equation of the line is y=7

4 0

3 years ago

Charlier is cutting a 10 3/8 foot piece of wood to make shelves for his bedroom. Does Charlie have enough wood to make four shel

Misha Larkins [42]

2 5/8 × 4 = 10 1/2

Charlie does not have enough wood because 10 1/2 is also equal to 10 4/8 and Charlie only has 10 3/8

hope this helped

7 0

3 years ago

4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ

galben [10]

Answer:

$\\ \mu = 118\;grams\;and\;\sigma=30\;grams$

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find $\\ \mu\;and\;\sigma$ .

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

$\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}$

$\\ -0.6 = \frac{100-\mu}{\sigma}$ (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

$\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}$