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avanturin [10]
2 years ago
10

Consider the following proportion:

Mathematics
2 answers:
lakkis [162]2 years ago
8 0

Answer:

x=9/4

Step-by-step explanation:

Assoli18 [71]2 years ago
7 0

Answer:

2x=84

÷2. ÷2

x=42

Step-by-step explanation:

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What is the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B81%5E4%7D%7B3%5E5%7D" id="TexFormula1" title="\frac{81^4}{3^5}"
IRISSAK [1]

Answer:3^1^1\\

Step-by-step explanation:

\frac{81^4}{3^5}

\frac{3^1^6}{3^5}

The base is same power can be add or subtract

3^1^6^-^5

3^1^1

5 0
3 years ago
1. Mark Ford deposits $11,800 into Role Bank, which pays 8% interest that
borishaifa [10]

Answer:

The amount after 4 years = $ 16198.87

Step-by-step explanation:

Points to remember

Compound interest

A = P[1 + R/n]^nt

Were A - Amount

P - Principle

R - Rate of interest

t - Number of years

n - Number of times compounded

<u>To find the amount</u>

Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times

A = P[1 + R/n]^nt

 =  11800[1 + 0.08/4]^(4 * 4)

 = 16198.87

Therefore amount after 4 years = $ 16198.87

5 0
3 years ago
$150 dinner; 18% tip
Whitepunk [10]

Answer:

27

Step-by-step explanation:

6 0
3 years ago
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Assume that different groups of couples use the XSORT method of gender selection and each couple gives birth to one baby. The XS
olganol [36]

Answer:

Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.

Step-by-step explanation:

We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.

Now consider a group consisting of 36 couples.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x=0,1,2,3,.....

where, n = number of trials (samples) taken = 36 couples

            r = number of success

            p = probability of success which in our question is probability

                   of a girl, i.e.; p = 0.5

<em><u>Let X = Numbers of girls in groups of 36 births </u></em>

So, X ~ Binom(n = 36, p = 0.5)

Now, mean for the numbers of girls in groups of 36 births is given by;

         <u>Mean</u>, E(X) = n \times p = 36 \times 0.5 = 18

Also, standard deviation for the numbers of girls in groups of 36 births is given by;

        <u>Standard deviation</u>, S.D.(X) =  \sqrt{n\times p\times (1-p)}

                                                      =  \sqrt{36\times 0.5\times (1-0.5)}

                                                      =  3

3 0
3 years ago
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