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2 years ago

Please solve the inequality: -15< or equal to 5(3p-2) and is < and equal to 20

1 answer:

5 0

It has been awhile since I worked with in qualities but I got the answer, -1/3 < or equal to p < or equal to 2. I multiplied the 5 in the middle of the equation with what's in parentheses to get 15p - 10, then I added 10 to both outer sides of the equation and got -5 < or equal to 15p < or equal to 30. Then lastly I divided 15 by -5 and 30! I hope that's right.. I'm sorry if it isn't!

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Coleen made 1,000 bracelets to sell at a flea market. She sold each bracelet for $5.50. If she sold all of the bracelets, how mu

Alex_Xolod [135]

Answer:

$5.500

Step-by-step explanation:

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In 2006, the population of Tewksbury, Rhode Island was 25,000, and it was growing at an annual rate of 2.2%. What is the growth

Shtirlitz [24]

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3 years ago

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How to solve this substitution

Lena [83]

-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
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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 <u>4 equal parts</u>, 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,

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

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

<u>Multiplication Rule for Independent Events</u>

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><u>Conclusion</u></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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