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Alina [70]
2 years ago
8

Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

Mathematics
2 answers:
Dmitry [639]2 years ago
7 0

Answer: \dfrac{3}{7}

Step-by-step explanation:

From the given table, the total number of flowers = 315

The total number of yellow flowers = 135

Then , if a flower is picked at random, the probability of getting a yellow flower is given by :-

\text{P(Yellow)}=\dfrac{\text{Number of yellow flowers}}{\text{Total number of flowers}}\\\\\text{P(Yellow)}=\dfrac{135}{315}=\dfrac{3}{7}

Therefore, the probability of getting a yellow flower is \dfrac{3}{7}

Westkost [7]2 years ago
3 0
Answer 50:50

If you add 105 and 210 together you get 315 which is equal to the number of yellow flowers alone
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Phantasy [73]
I completely agree with the above statement
3 0
3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
1 year ago
Can someone please answer this question please answer it correctly please show work
Zina [86]

Answer:

34) A

35) C

36) D

Step-by-step explanation:

34) The perimeter of a triangle is equal to the sum of the lengths of its sides

Sides: (6.2p + 4.5q) + (3.4p - 0.7r) + (2.9r - 4.1q)

Combine like terms (same variables)

(6.2p + 3.4p) + (4.5q - 4.1q) + (2.9r - 0.7r)

9.6p + 0.4q + 2.2r

A

35)

Time possibilities

1 hour - $3 - $5 = $-2     No

2 hours - $6 - $5 = $1    Yes

3 hours - $9 - $5 = $4    Yes

4 hours - $12 - $5 = $7    Yes

5 hours - $15 - $5 = $10   Yes

6 hours - $18 - $5 = $13   Yes

7 hours - $21 - $5 = $16   Yes

8 hours - $24 - $5 = $19   No

9 hours - $27 - $5 = $22  No

The possible hours that Ms. Barnes can park are 2 - 7 hours

The only inequality graph that represents all of these values is C

36)

<h3>(-\frac{4}{7}) / (-\frac{3}{4}) * (-2\frac{1}{3})</h3>

Convert to improper fractions

<h3>(-\frac{4}{7}) / (-\frac{3}{4}) * (\frac{-7}{3})</h3>

Divide by finding the reciprocal

<h3>(-\frac{4}{7}) * (-\frac{4}{3}) * (\frac{-7}{3})</h3><h3 /><h3>\frac{16}{21} * -\frac{7}{3}</h3><h3 /><h3>\frac{-16}{9}</h3>

Convert back to a mixed number

-1\frac{7}{9}

D

Hope this helps :)

8 0
3 years ago
2^7/2^3 basic exponent rules
Stells [14]

Answer:

Step-by-step explanation:

Since they have the same base as 2, by the rule of a^m / a^n = a^m-n.

So 2^7 / 2^3 = 2^ 7-3 = 2^4 = 16

6 0
2 years ago
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makvit [3.9K]

Answer:

5.81%

Step-by-step explanation:

8 0
2 years ago
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