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vovikov84 [41]
4 years ago
7

]How would you simplify

absmiddle" class="latex-formula"> (square root of 66)?
Simplify it like this:

\sqrt80 (square root of 80):

in the square root thing: (2 * 2 * 2 * 2 * 5)

sqrt{2^2} * sqrt{2^2} * \sqrt{5}
Mathematics
1 answer:
devlian [24]4 years ago
8 0
66= 2* 3* 11

Because there is no repeated factor of 66, you cannot simplify \sqrt{66}. It is already in its simplest form.

Hope this helps~
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ZA and ZB are complementary angles. If mZA = (2x + 10)° and m
fiasKO [112]

Answer:

∠ZB = 54°

Step-by-step explanation:

Given:

Pair of complementary angles

∠ZA = (2x + 10)° and m

∠ZB = (3x + 15)

Find:

Measure of ∠ZB

Computation:

complementary angles

a + b = 90°

∠ZA + ∠ZB = 90°

(2x + 10) + (3x + 15) = 90

5x + 25 = 90

x = 13

So,

∠ZB = (3x + 15)

∠ZB = 13(3) + 15

∠ZB = 54°

3 0
3 years ago
Help please<br><br> Factorise<br><br> x²-x-56<br><br> its due in 4 minutes
Iteru [2.4K]

Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x=  \frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

7 0
3 years ago
Read 2 more answers
What percent of 63.8 is 37.8?
lakkis [162]
To find percentage, you take 37.8 and divide it by 63.8 then multiply by 100

(37.8/63.8) × 100 = 59.25%
6 0
3 years ago
María bought five apples for 20 cents each, she also bought three pounds of bananas for 25 cents per pound. How much did she spe
gulaghasi [49]

Answer:

She spend $2.00.

Step-by-step explanation:

8 0
4 years ago
We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
3 years ago
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