MATHEMATICS MIDDLE SCHOOL

A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20

Answers

Answer 1

Answer:

The probability that the spinner stops at purple and a pink card is selected is 1/20

How to determine the probability?

The given parameters are:

Spinner = {Green, Blue, Purple, Yellow, Red}
Cards = {Red, Yellow, Blue, Pink}

There is 1 purple color on the spinner and 1 pink card in the card.

So, the probability that the spinner stops at purple and a pink card is selected is:

P(Purple and Pink) = 1/5 * 1/4

Evaluate the product

P(Purple and Pink) = 1/20

Hence, the probability that the spinner stops at purple and a pink card is selected is 1/20

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Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake?

Answers

It would take Rene 1 1/2 hours to get to the lake.

We know that the lake is 60 miles away and divide it by her mph (40) and get 1.5 hours. If we did this as a fraction, it would be 60/40=1 20/40 or 1 1/2

Time = Distance/ speed
Time = 60/40
time = 6/4
=3/2
1 hour 30 m

What is 4 2/10 - 2 8/10

Answers

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Look at attachment

Answer:1.4

Step-by-step explanation: 4 2/10 - 2 8/10=1.4

Fiecare dintre cei 26 de baieti si 14 fete care au participat la excursia de la Bran au adunat câte 5 pietricele pentru acvariul clasei.Cate pietricele sunt in total?Calculează în două moduri.

Answers

26+14=40
40*5=200 pietricele
Sau
26*5=130
14*5=70
130+70=200pietricele

the answer is 35 of whatever u said

There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 10 chocolate chip and 7 sugar cookies. The green jar contains 8 chocolate chip, 14 sugar and 11 peanut butter cookies. The pink jar contains 6 chocolate chip, 5 sugar and 9 peanut butter cookies. One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively. A cookie is then chosen at random from the chosen jar. What is the probability that the pink jar was chosen, if it is known that the cookie was a sugar cookie?

Answers

The probability that the pink jar was chosen, when it is known that the cookie was a sugar cookie is 0.167..

What is Bayes' theorem?

Suppose that there are two events A and B. Then suppose the conditional probability are:

P(A|B) = probability of occurrence of A given B has already occurred.

P(B|A) = probability of occurrence of B given A has already occurred.

There are three colored cookie jars. One jar is blue, another green and the last one pink.

The blue jar contains 10 chocolate chip and 7 sugar cookies.
The green jar contains 8 chocolate chip, 14 sugar and 11 peanut butter cookies.
The pink jar contains 6 chocolate chip, 5 sugar and 9 peanut butter cookies.

Thus the probability of chossing sugar is,

$P=(1)/(2)*(7)/(17)+(1)/(4)*(17)/(33)+(1)/(4)*(5)/(20)$

One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively.

Thus the probability for pink jar was chosen, when it is known that the cookie was a sugar cookie is,

$\rm P=(P(pink\cap sugar))/(P(sugar))\n\rm P=(P(sugar| pink)P(Pink))/(P(sugar))$

Put the values,

$P=((1)/(4)*(5)/(20))/((1)/(2)*(7)/(17)+(1)/(4)*(17)/(33)+(1)/(4)*(5)/(20))\nP=0.167$

Thus, the probability that the pink jar was chosen, when it is known that the cookie was a sugar cookie is 0.167.

Learn more about the Bayes' theorem here;

brainly.com/question/13750253

Answer:

Pr(pink jar will be selected)=6/11

Tanika took a test that had 20 multiple- choice questions and 10 true/false questions. she got 9/10 of the multiple choice questions correct and she got 4/5 of the true/falsequestions coorect.
how many multiple- choices questions did tanika get correct

Answers

this is a ratio based problem.
knowing that there are 20 mc questions and she got 9/10 of them right, we can solve the problem by getting the equivalent fraction that has the same denominator as the total number of mc questions ( in this case,20)

multiplying 9/10 by 2/2, we get 18/20 and that's the answer

She got 19 answers correct.

You buy a sandwich for $2.95, an apple for $.45, and a bottle of juice for $1.05. What is the total cost?

Answers

The total is going to be $4.45 because 2.95 plus 0.45 plus 1.05 equals 4.45. I hope this helped.

2.95
+
1.05
___
$4.00 + $.45
=$4.45

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