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3 years ago

Please show work for both problems

Mathematics

1 answer:

kirill [66]3 years ago

6 0

Answer:

3) x = 15; 95 and 85 4) x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180 Set the equations equal to 180

5x + 105 = 180 Combine like terms

- 105 - 105 Subtract 105 from both sides

5x = 75 Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4) 5x + 38 = 9x - 10 Set the equations equal to each other

- 5x - 5x Subtract 5x from both sides

38 = 4x - 10

+ 10 + 10 Add 10 to both sides

48 = 4x Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

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Write an equation in slope-intercept form of the line with slope 3/4 that contains the point (-4,1)

marusya05 [52]

Answer:

y = 3/4x + 4

Step-by-step explanation:

to put it into slope intercept form, you need to find the y intercept or b becasue the slope intercept form is y = mx + b where b is the y intercetpt and m is the slope. To find b you insert the points you were given so 1 = -4(3/4) + b

which simplifies to 4 = b so then you can put in your slope and y intercept into slope intercept form

6 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

NEED HELP SOON!!!!<br> for any numbers a, b, and c, a(b + c)=ab+ac

navik [9.2K]

The property displayed here is the distributive property.

If you have a variable or unknown number inside or outside of parentheses, you can distribute it to each term and add the terms together, and it will remain true.

Example:

4(x + 5)

After distributing, it'll look like this:

4x + 20

6 0

3 years ago

people ask me sometimes why can’t you do your homework and I say it’s because I help people with theres and they never help me :

miss Akunina [59]

Answer:

36 is dividend

in 36/6, 6 is the divisor

the other 6 is quotient

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Round to the nearest hundredth 5/8

Solnce55 [7]

Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).

To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.

3 0

3 years ago