The probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.
<u>Step-by-step explanation:</u>
- There are 1 red ball and 4 white balls in a box.
- The total number of balls in the box = 1 red + 4 white = 5 balls.
The two balls are drawn without replacement.
<u>Drawing the first ball :</u>
The first draw should be a red ball.
The probability to get a red ball = No.of red balls / Total balls in the box.
We know that, No. of red balls is 1 and total balls in the box is 5.
P(red ball) = 1/5
<u>Drawing the second ball :</u>
The second draw should be a white ball.
The probability to get white ball = No.of white balls / Total balls in the box.
We know that,
No. of white balls is 4.
The total balls in the box after the first draw will be 4 balls.
P(white ball) = 4/4
The probability of getting a red ball on the first drawn and a white ball on the second draw = P(red ball) × P(white ball)
⇒ (1/5) × (4/4)
⇒ 4/20
⇒ 1/5
Therefore, the probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.
Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
He needs 160 5-star reviews in a role. We can write a function to solve this problem. His current total stars is 4.4*160=704. Suppose he needs x more 5-star reviews, then his total stars will be 704+5x. 160+x is the new number of reviews, and the new average will be 4.7, so 4.7*(160+x)=704+5x. The solution is 160. Besides, if you want to get the answer really fast, you can see that 4.7 is right in the middle of 4.4 and 5, so you can immediately guess that the number of new 5-star reviews should be equal to the number of current reviews.
The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).
<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>
It follows from the task content that the logarithmic expression given in the task content is;
log2z + 2log2z + 4log9y + 12log9x - 2log2y
In which case, all terms are to their respective logarithmic bases.
Hence, it follows that; we have;
log2z³ - log2y² + log9y⁴ + log9x¹²
= log2(z³/y²) + log9(y⁴x¹²)
Read more on logarithm laws;
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Answer:put a pt on the y on -2 then go down 3 and 2 right put another pt
Then from first pt go up 3 and 2 left
Now you have 3 pts look at picture
Step-by-step explanation:
