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Eduardwww [97]
2 years ago
5

Please help me find the missing side !

Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be x-x\sqrt{3} -2x

If across the 60 is 7\sqrt{3} then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50%50% of this population prefer
n200080 [17]

Answer:

0.1527

Step-by-step explanation:

Given that a researcher wishes to conduct a study of the color preferences of new car buyers.

Suppose that 50% of this population prefers the color red

15 buyers are randomly selected

Let X be the no of buyers who prefer red.

X has exactly two outcomes red or non red.

Also each buyer is independent of the other

Hence X is binomial with p = 0.5 and n = 15

Required prob =The probability that exactly three-fifths of the buyers would prefer red

= P(X=9)

= 15C9 (0.9)^9 (0.6)^6

=5005(0.0000305)=0.1527

6 0
2 years ago
Leo and her on spent 3/4 hour shopping 5/6 hour preparing the pizzas and 11/12 hour cleaning up after the party how many minutes
Aneli [31]

Answer:

150 minutes

Step-by-step explanation:

First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.

To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.

3/4 h =

3/4 * 60 = 45m

5/6 h =

5/6 * 60 = 50m

11/12 h =

11/12 * 60 = 55m

to calculate the total number of minutes we have to add the 3 values ​​that we have

45m + 50m + 55m = 150m

8 0
3 years ago
The number of withdrawals a bank processes in a day follows a random variable X. The number of deposits in a day is represented
Serhud [2]

Answer:

Check the explanation

Step-by-step explanation:

Number of transactions in a day is sum of number of withdrawals and number of deposits. So,

Number of transactions in a day, Z = X + Y

Moment Generating function of Z is,

T+1

Expected number of transactions in a day = E[Z]

= \frac{\mathrm{d} }{\mathrm{d} t}_{t=0}M_Z(t) = (r+1)\left ( \frac{p}{1-qe^t} \right )^{r} * \frac{-p}{(1-qe^t)^2} * (-qe^t)    for t = 0

= (r+1)\left ( \frac{p}{1-qe^0} \right )^{r} * \frac{-p}{(1-qe^0)^2} * (-qe^0)

= (r+1)\left ( \frac{p}{1-q} \right )^{r} * \frac{-p}{(1-q)^2} * (-q)

= (r+1)\left ( \frac{p}{p} \right )^{r} * \frac{-p}{(p)^2} * (-q)

= \frac{(r+1)q}{p}

4 0
3 years ago
If a, b, and c are rational numbers and a > b, is ac > bc always true? Justify your answer
Mariana [72]
ac> bc is always true. This is beacuse c is multiplied to both a and b, and since a> b then ac will have a higher value than bc. Hence ac> bc is always true under the condition a> b.
8 0
2 years ago
Read 2 more answers
Amelia has a 1-6 number cube (dice). She rolls the cube twice. What is the probability that she rolls two even
ryzh [129]

Answer:

6/9

Step-by-step explanation:

2/6 x 2 = 0.6... and the 6 keeps repeating. There is one repeating number, so your answer is 6/9.

4 0
2 years ago
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