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elixir [45]
3 years ago
10

True or false: In order to fill this figure with unit cubes, you would need to fill in 7 cubes in length, 10 cubes in height, an

d 3 cubes in width. Then, you would fill the rest of the space with cubes.
Mathematics
2 answers:
Naddik [55]3 years ago
8 0
The answer to this is true
Anit [1.1K]3 years ago
5 0
The answer is true.
You might be interested in
Find the equation of the line through point (3,2) and perpendicular to 3x + 5y = 15
Vesnalui [34]

Answer:

y=5/3x-3

Step-by-step explanation:

first, let's put 3x+5y=15 into y=mx+b form

move 3x to the other side

5y=-3x+15

divide by 5

y=-3/5x+3

now, perendicular lines have slopes that are negative and reciprocal.

With our new equation we can automatically find the slope, which would be 5/3.

now, we need to find b

plug the points (3,2) into y=5/3x+b

2=5/3(3)+b

2=5+b

-3=b

so that means that our equation will now be

y=5/3x-3.

Hope this helps!

6 0
3 years ago
7y-12-3y+9=0 help please
nasty-shy [4]

Simplify. Combine like terms

7y - 3y = 4y

-12 + 9 = -3

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

4y - 3 = 0

Isolate the y. Note the equal sign. What you do to one side, you do to the other side. Do the opposite of PEMDAS.

4y - 3 (+3) = 0 (+3)

4y = 3

4y/4 = 3/4

y = 3/4

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

y = 3/4 is your answer

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

hope this helps

3 0
3 years ago
Read 2 more answers
A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved in fatal accidents who are f
Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 ​g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~   t_n_-_1

where, \bar X = sample mean BAC = 0.16 g/dL

            s = sample standard deviation = 0.080 ​g/dL

            n = sample of drivers = 60

            \mu = population mean BAC in fatal crashes

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

So, a 90% confidence interval for the population mean, \mu is;

P(-1.672 < t_5_9 < 1.672) = 0.90  {As the critical value of t at 59 degrees of

                                              freedom are -1.672 & 1.672 with P = 5%}    P(-1.672 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.672) = 0.90

P( -1.672 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.672 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.672 \times {\frac{s}{\sqrt{n} } } , \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ]

                                       = [ 0.16-1.672 \times {\frac{0.08}{\sqrt{60} } } , 0.16+1.672 \times {\frac{0.08}{\sqrt{60} } } ]

                                       = [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0
3 years ago
Which statements about a rhombus are always true? Its diagonals bisect each other. All 4 angles are 90°. Its diagonals are congr
GREYUIT [131]
Hello,


The answer is Its diagonals are congruent. Its diagonals are ⊥ to each other.


I believe you can pick more than 1.

Hope this helps
7 0
3 years ago
Read 2 more answers
-13x+4x=-39+18x what is X??????
Vinil7 [7]
X= 1.4
First, you combine like terms

-13x + 4x = -9x 

Then you subtract 18x from each side so you can get -39 by itself

-9x -18x = -27x

Next you divide -27x by -27 and -39 by -27

-27/-27 = 1x   

-39/-27 = 1.4

So X= 1.4
6 0
3 years ago
Read 2 more answers
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