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Feliz [49]
3 years ago
13

( √2 - √3 )² = a. 5 - 2√6 b. 5 - √6 c. 1 - 2√6 d. 1 - √2 e. 1

Mathematics
1 answer:
TEA [102]3 years ago
7 0
(\sqrt{2} - \sqrt{3})^2= (\sqrt{2})^2-2 \sqrt{2}  \sqrt{3} +(- \sqrt{3}  )^2=2-2 \sqrt{2*3} +3=5-2 \sqrt{6}

Answer: A
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A normal distribution has a mean of 101 and a standard deviation of 3.4. What is the z-score of 105? Enter your answer, rounded
oee [108]

Answer:

Z-score = 1.18

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Z =\frac{X-\mu}{\sigma}

Where

μ is the mean, x is a data of the population and \sigma is the standard deviation

In this case

\mu =101\\\\\sigma = 3.4\\\\X = 105

Then the z-score is

Z = \frac{105-101}{3.4}\\\\Z = 1.18

4 0
4 years ago
Drag and drop the equation to correctly complete the sentence.
Klio2033 [76]

Answer:

y= 2x - 11

Step-by-step explanation:

(-7 +1 )/ (2-5) = 2

y= 2x +b

-1 = 2* 5 + b

solve for b and you get -11 so the equation of the line is :

y = 2x -11

4 0
3 years ago
PLEASEEEE ANSWER ASAP
Alona [7]

Answer:

x = -1, x = 1

Step-by-step explanation:

Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

y = x^{2} - 1\\y = (x-1)(x+1)

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!

Set it equal to 0.

0 = (x+1)(x-1)

Separate the two parenthetical expressions by the Zero Product Property.

0 = x+1\\0 = x-1

Solve for x!

x=-1, x=1

3 0
3 years ago
Cash Orcheck had a balance of $867 in his checking account on
Nadya [2.5K]

Answer:

Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.

98+456+29+381= 964

867-964= -97

His final balance would be -97

Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.

So here are the two options

1) At least one or at most 2 checks must’ve bounced

2) He got more money in his checking account

8 0
3 years ago
Please help!!
garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

LSA = \pi rl and

The total surface area of the cone is

TSA = \pi r^{2} + \pi r l

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

LSA = \pi (14)(27) sq ft

or, LSA = 1187.5 sq ft

Again,

TSA = \pi(14^2)+\pi (14)(27) sq ft

or,TSA = 1803.3 sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

5 0
3 years ago
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