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2 years ago

Find the 89th term of the arithmetic sequence 25, 35, 45, ...

Mathematics

1 answer:

Eddi Din [679]2 years ago

8 0

Answer:

905

Step-by-step explanation:

arithmetic sequence are in form

a(n)=a(0)+d(n-1)

a(0)=25

common difference: d=35-25=10

a(n)=25+10(n-1)

a(89)=25+10(88)=905

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Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.

myrzilka [38]

Answer:

The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.

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4^4x-5= 8^3x-4 solve

Alexxandr [17]

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3 years ago

Brandon picked 14 of a pound of cherries. That afternoon, Brandon's brother ate 12 of the cherries. How many pounds of cherries

stellarik [79]

Answer:

Step-by-step explanation:

Brandon picked 14 pounds of cherries but later in the afternoon Brandon's brother ate 12 so you would subtracts

14-12 = 2

8 0

2 years ago

X = – 2y – 1 x = – 5y + 5

motikmotik

Answer:

x = -5

y = 2

Step-by-step explanation:

x = – 2y – 1

= -x - 2y - 1

-x - 2y = 1

x = – 5y + 5

= -x - 5y + 5

-x - 5y = -5

-x - 2y = 1

-x - 5y = -5

___________--

3y = 6

y = 6/3

y = 2

-x - 2y = 1

-x - 2(2) = 1

-x - 4 = 1

-x = 1 + 4

-x = 5

x = -5

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2 years ago

Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Therefore,

$\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}$

$\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}$

Multiplication Rule for Independent Events

For independent events A and B:

$\sf P(A\:and\:B)=P(A) \times P(B)$

Therefore,

$\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}$

<h3>Conclusion</h3>

Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

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1 year ago

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