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SOVA2 [1]
2 years ago
10

What is the volume, in cubic meters, of a cube with an edge length of 5 meters?

Mathematics
1 answer:
Lilit [14]2 years ago
8 0
125 cubic meters
V=lwh
125= 5 • 5 • 5
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Inequality<br><br> Show your step by step solution to this.<br><br> 5-2x&gt;17
bonufazy [111]

<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

subtract 5 both sides of an equation.

5-2x-5>17-5

simplify.

-2x>12

multiply by -1 both sides of an equation.

(-2x)(-1)<12(-1)

simplify.

2x<-12

divide by 2 both sides of an equation.

2x/2<-12/2

-12/2=-6

12/2=6

6*2=12

12/6=2

x<-6

Hope this helps!

Thanks!

Have a great day!

3 0
3 years ago
A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher
tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

10^{4}*26^{3} = 175760000 possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

P = \frac{78624000}{175760000} = 0.4473

There is a 44.73% probability that all symbols are different.

7 0
3 years ago
Y = 2 cm x = 75 grams
Nookie1986 [14]

Answer:

Step-by-step explanation:

3 0
2 years ago
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive
gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}  = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students  believe that they will find a job immediately after graduation= 3099

Then,  \hat{p}=\dfrac{3099}{3597}\approx0.8616

We know that , Critical value for 99% confidence interval = z*=2.576  (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}

0.8616\pm (2.576)\sqrt{0.0000331513594662}

\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0
3 years ago
What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
Karolina [17]
\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ -2}}\quad ,&{{ -3}})\quad &#10;%   (c,d)&#10;&({{ 5}}\quad ,&{{ 4}})&#10;\end{array}&#10;\\\quad \\\\ % slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{4-(-3)}{5-(-2)}\implies \cfrac{4+3}{5+2}
6 0
2 years ago
Read 2 more answers
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