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sesenic
21 day ago
7

Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a

bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is
%. The probability of Kayla drawing a red or a green bead is
%
Mathematics
1 answer:
AnnZ [9K]21 day ago
5 0
Count the total colors of beads

42+28+12+18=100

Next, calculate the sum of the yellow and green beads

42+28=70

To determine the count of beads that are neither yellow nor green, subtract from the total

100-70=30

The first answer thus is 30/100 -> 3/10 -> 30%

Now, tally the red and green beads

28+18=46

Thus, the next answer is

46/100 -> 23/50 -> 46%
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1 (only applicable if e is not zero)

Detailed explanation:

xy + 5ey = 5e

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10 days ago
Use the geometric definition of the cross product and the properties of the cross product to make the following calculations. (a
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Answer:

Step-by-step explanation:

We understand that

\vec{i}\times \vec{j}=\vec{k}

\vec{j}\times \vec{k}=\vec{i}

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(a) \left [ \left ( \hat{i}+\hat{j}\right )\times \hat{i}\right ]\times \hat{j}

=\left [ \hat{i}\times \hat{i}+\hat{j}\times \hat{i}\right ]\times \hat{j}

=\left [ 0-\hat{k}\right ]\times \hat{j}

=\hat{i}

(b) \left ( \hat{j}+\hat{k}\right )\times \left ( \hat{j}\times \hat{k}\right )

=\left ( \hat{j}+\hat{k}\right )\times \left ( \hat{i}\right )

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(c) 4\hat{i}\times \left ( \hat{i}+\hat{j}\right )

=4\hat{i}\times \hat{i}+4\hat{i}\times \hat{j}

=0+4\hat{k}

(d) \left ( \hat{k}+\hat{j}\right )\times \left ( \hat{k}-\hat{j}\right )

=\hat{k}\times \hat{k}-\hat{k}\times \hat{j}+\hat{j}\times \hat{k}-\hat{j}\times \hat{j}

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6 0
1 month ago
Consider the equation pV=kTN , where k is a constant. Select all of the correct answers that describe the variation between vari
PIT_PIT [9101]

Answer:

Refer to the following:

Step-by-step explanation:

Rule: If variables appear on the same side of the equation, they have INVERSE variation.

If the variables are located on opposite sides of the equation, they have DIRECT variation.

a) T and V

  • Opposite sides
  • Directly related

b) p and T

  • Opposite sides
  • Directly related

c) N and V

  • Opposite sides
  • Directly related

d)  N and T

  • Same side
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e)  p and N

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f)  V and P

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4 0
23 days ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
zzz [9066]
To tackle this, we will apply the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the final amount after t years
P denotes the initial investment
r is the interest rate expressed as a decimal
n indicates the frequency of interest compounding annually

Initially, for the first four years, we have: P=2350, r= \frac{4.2}{100} =0.042, t=4, and as the problem does not specify the frequency of compounding, we will assume it occurs annually; thus, n=1. Now, let's insert these values into our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2350(1+ \frac{0.042}{1} )^{(1)(4)}
A=2350(1+0.042)^{4}
A=2770.38

For the subsequent six years, the initial amount will be the resulting figure from our prior calculation, which means P=2770.38. We also know that: r= \frac{4.9}{100} =0.049, t=6, and n=1. Let's substitute these figures back into our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2770.38(1+ \frac{0.049}{1})^{(1)(6)
A=2770.38(1+0.049)^6
A=3691.41

In conclusion, Collin's account will contain <span>£3691.41 after a decade.</span>
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