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Paraphin [41]
2 years ago
5

Simplify 9r - 4s -6r + s

Mathematics
2 answers:
Temka [501]2 years ago
8 0

Answer:

The answer is 3(r-s)

Step-by-step explanation:

9r-4s-6r+s

= 3r-3s

= 3(r-s)

Serggg [28]2 years ago
3 0

your answer is

3r-3s


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Plz help me. I need help fast
Margaret [11]
I think is C

Let me know!
5 0
3 years ago
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
What is the length of segment LP?
Mariana [72]
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

8 0
2 years ago
Simplify the radical expression below.<br><br><img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B7%7D%20-%20%5Csqrt%7B63%7D%20" id=
anzhelika [568]

So for this, we can simplify √63 as such:


\sqrt{63}=\sqrt{7*9}=3\sqrt{7}


Using the simplified version of √63, we can solve it:


3\sqrt{7} -3\sqrt{7} =0


Zero is your final answer.

4 0
3 years ago
Hannah wants to buy cupcakes and cookies for her friends with a budget of $35. Cupcakes are $6
Serggg [28]
1. She can buy 5 cupcakes and spend 30 dollars.
2. So she can by 5 more cookies with the rest of her money.
3 0
2 years ago
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