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2 years ago

Why when I sum the angles I don't get 180

Mathematics

2 answers:

Irina-Kira [14]2 years ago

6 0

You don't have all the numbers, you don't know what X equals, you need to know what X equals in order to complete the equation

babymother [125]2 years ago

3 0

5x+20+7x-80=180
12x-60=180
x=20
I think that's the answer

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assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use

tensa zangetsu [6.8K]

Solution: The given random experiment follows Binomial distribution with $n=10,p=0.44$

Let $X$ be the number of adults who use their smartphones in meetings or classes.

Therefore, we have to find:

$P(X$

We know the binomial model is:

$P(X=x)=\binom{n}{x} p^{x} (1-p)^{n-x}$

$\therefore P(X$

$=\binom{10}{0}0.44^{0}(1-0.44)^{12-0}+\binom{10}{1}0.44^{1}(1-0.44)^{10-1}+\binom{10}{2}0.44^{2}(1-0.44)^{10-2}$

$=1 \times 1 \times 0.0030 + 10 \times 0.44 \times 0.0054 + 45 \times 0.1936 \times 0.009672$

$=0.0030+0.0238+0.0843$

$=0.1111$

Therefore, the probability that fewer than 3 of them is 0.1111

7 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

5 0

3 years ago

This is flipping a figure over the axis of symmrtry

fgiga [73]

Answer:

Step-by-step explanation:

FSDGGHJKL

4 0

2 years ago

for dinner abelita chooses the Italian salad that cost 3.99 before tax and Franco chooses the fettuccine Alfredo that costs $7.1

jolli1 [7]

Abelita and Franco spent $11.74 on food. The sales tax for 5 percent is $56 cents.

Hope this helped :)

7 0

3 years ago

Read 2 more answers

Daniel [21]

Answer:

2.17ft/s

Step-by-step explanation:

Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,

Distance of ladder from the wall 3 seconds after ladder starts to fall = Initial distance+ Velocity× time

= 6 + 2×3

= 12ft

Use trignometry to find out the speed of the top of ladder

cosθ= 12/20

θ= 0.825 rad

tan θ= v/2

v= 2.17ft/s

7 0

3 years ago