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Firdavs [7]
3 years ago
12

A number increased by nine is translated as

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Let a number be x.
So, it can be translated as
x + 9
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PLSSSS HELP ME WITH THIS QUESTION!!!
AysviL [449]

Given,  

∠AOE = 30°

∠DOB = 40°

So, ∠EOD = 180 - (30+40)           [angles on a straight line]

                =  180 - 70

                =  110

∠EOD = ∠COF                             [ vertically opposite angle]

∴ ∠COF = 110°

7 0
3 years ago
Read 2 more answers
Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
3 years ago
2, Find the price of a a video game that costs $60.00 with 30% discount.
Pie

Answer:

18$

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
MVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x
kotykmax [81]
The diagram of the three angles is shown below with point U as the point where all three lines meet.

Angles property: Angles around a point add up to 360°

We set up an equation

175+17x-3+17x+8=360
180+34x=360
34x=360-180
34x=180
x= \frac{180}{34}= \frac{90}{17}
5 0
3 years ago
Factorise<br> x<br> 2<br> +<br> 2<br> x<br> −<br> 48
Hatshy [7]

Answer:

x^2+ 2x +-48

product: -48  sum: 2

8, -6

x^2 +8x - 6x - 48

=> x(x+8) -6(x+8)

=> (x+8)(x-6)

Hope it helps...........

8 0
2 years ago
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