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2 years ago

A rectangle has is 70 cm long and w cm wide. The perimeter of the rectangle is 182 cm. What is the width, w?

Mathematics

1 answer:

joja [24]2 years ago

5 0

Answer:

w = 21

Step-by-step explanation:

i've done this kind of thing before a million times

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Drag the tiles to the correct boxes to complete the pairs. Match each expression with its simplified form. Tiles 3a5 − (-a5) 6a7

fredd [130]

3a^5 - (-a^5) = 3a^5 + a^5 = 4a^5

6a^7 - 2a^7 = 4a^7

-3a^5 - (-2a^5) = -3a^5 + 2a^5 = -a^5

7a^7 - 8a^7 = -a^7

7 0

4 years ago

Read 2 more answers

You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte

Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

$f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \, otherwise }} \right.$

a) We calculate the probability that you need less than 5 minutes to get up:

$P(x$

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate the probability that you will need between 8 and 13 minutes:

$P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3$

Therefore, the probability is P(8<x<13)=0.3.

d) We calculate the probability that you will be late to each of the 9:30am classes next week:

$P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6$

You have 9:30am classes three times a week. So, we get:

$P=0.6^3=0.216$

Therefore, the probability is P=0.216.

e) We calculate the probability that you are late to at least one 9am class next week:

$P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1$

Therefore, the probability is P=1.

3 0

3 years ago

Recopier et compléter le tableau suivant

NemiM [27]

here click on my files.com/3_& and it should give you the answer

8 0

3 years ago

Find the inequality represented by the graph. Thanks!<br><br> (plz no spam...)

nikitadnepr [17]

Answer:

y > (1/3)x - 3.

Step-by-step explanation:

The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.

In the image, the slope of the graph from the given points is 1/3.

In the image, the y-intercept is -3.

Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!

We see the line isn’t dotted, so that means it must be > or <.

We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.

I hope this helps! :)

6 0

3 years ago

Read 2 more answers

How do you find the quotient of 5/2 ÷ 1/4 ?

anastassius [24]

The answer is to what is 5/2 divided by 1/4 is 10

3 0

4 years ago