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Elis [28]
3 years ago
7

The list shows all of the combinations of cutlery at a dinner table. A total of four pieces consisting of forks and spoons are l

aid out per person. (first, second, third, fourth). F stands for fork, and S stands for spoon.
SSSS, SSSF, SSFS, SSFF, SFSS, SFSF, SFFS, SFFF, FSSS, FSSF, FSFS, FSFF, FFSS, FFSF, FFFS, FFFF,

What is the probability that a combination of 2 spoons and 2 forks will be laid out if a combination of cutlery is chosen at random from the list? Round the answer to the nearest hundredths.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0
6/16 which is .375, round that to the nearest hundredth and you get .38
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Answer:

5)102,78

6)56,56

<em><u>See</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>IMAGE</u></em><em><u> </u></em><em><u>FOR</u></em><em><u> </u></em><em><u>SOLUTION</u></em><em><u> </u></em>

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3 years ago
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What is 170% of 97 tons???
Ede4ka [16]
x=170\% * 97 \\ \\ x= \frac{170}{100} *97 \\ \\ x= \frac{17}{10}*97 \\ \\ x= \frac{1649}{10}=164.9
6 0
3 years ago
Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
3 years ago
I am a 3-digit number. If rounded off to the nearest hundreds. I become 500. If rounded off to the nearest tens, I become 540. I
dimulka [17.4K]

Answer:

535 is the cirrext answer

6 0
3 years ago
Please help me with this please and thank you
Alina [70]

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

3 0
2 years ago
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