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Amanda [17]
3 years ago
6

(07.05 MC)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

-3

Step-by-step explanation:

just did the test got a 100%

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WILL MARK BRAINLIEST PLS HELP<br> Will these side lengths make a triangle? 5 yds, 6 yds, 5 yds
Elina [12.6K]

Answer:

Yes!

Let the height of the triangular shaped garden be h yards. Its base would then be 5+h yards.Step-by-step explanation:

4 0
3 years ago
It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items
Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2s^2}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so  

\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

---------------------------------------------------------------------------------------

(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0
3 years ago
Given the vectors, a=3i+4j, b=-2i+5j, c=10i-j, d=-1/3i+5/2j, find -0.4a-0.3b+0.2d=?
sveta [45]

Answer:

-\frac{2}{3}i - \frac{13}{5}j

Step-by-step explanation:

-0.4(3i + 4i) - 0.3(-2i + 5j) + 0.2(-\frac{1}{3}i + \frac{5}{2}j)

-1.2i - 1.6j + 0.6i - 1.5j - \frac{0.2}{3}i + 0.5j

Converting to fraction form;

-\frac{6}{5}i + \frac{3}{5}i - \frac{1}{15}i - \frac{8}{5}j - \frac{3}{2}j + \frac{1}{2} j

<u>Solving the i part;</u>

\frac{-18i + 9i - i}{15} = -\frac{2}{3}i

<u>Solving the j part;</u>

\frac{-16j-15j+5j}{10} = -\frac{13}{5}j

So -0.4a - o.3b + 0.2d =  -\frac{2}{3}i - \frac{13}{5}j

6 0
4 years ago
A car company is going to issue new ID codes to its employees. Each code will have one digit followed by four letters. The lette
scoray [572]

2734375 employee ID codes can be generated

<em><u>Solution:</u></em>

Given that Each code will have one digit followed by four letters

The letter V and the digits 3, 4, and 5 will not be used

So, there are 25 letters and 7 digits that will be used

Assume that the letters can be repeated

Each code = 1 digit + four letters

digits 3 , 4 , 5 cannot be used

Therefore, the remaining digits are 1, 2, 6, 7, 8 , 9, 0

7 digits that will be used

One digit can be chosen from 7 digits in 7 ways

The first letter can be chosen from 25 letters in 25 ways

Since given that letters can be repeated

The second letter can be chosen from 25 letters in 25 ways

Similarly, the third letter can be chosen from 25 letters in 25 ways

Similarly, the fourth letter can be chosen from 25 letters in 25 ways

<u><em>Therefore, the total number of ways are:</em></u>

\rightarrow 7 \times 25 \times 25 \times 25 \times 25 = 7 \times 25^4\\\\ \rightarrow 2734375

Thus 2734375 employee ID codes can be generated

3 0
3 years ago
How much do you need to subtract from 87/10 to make 8
Brut [27]

Answer:

You would have to subtract 7/10

Step-by-step explanation:

87/10 - 7/10 would equal 8

3 0
3 years ago
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