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bogdanovich [222]
3 years ago
8

Expand the binomial using Pascal's triangle (3x+5)

Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

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The 14th term of an arithmetical progression is 15 and it's 9th term is 35 find the 15th term​
AURORKA [14]

Answer:

the 15th term is 11

Step-by-step explanation:

common difference is= -4

first term is 67

4 0
2 years ago
the population of cities A and B are 3.8 x 10^5 and 2,160,000 , respectively . the population of city C is twice the population
erma4kov [3.2K]
The answer is 4, 320, 000


explanation: the problem is asking what the population of city c is, and to do that you need to multiply city b times 2. therefore you do not need the population of city a, it is just there to confuse you
5 0
3 years ago
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
xz_007 [3.2K]

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

5 0
2 years ago
Game consoles: A poll surveyed 341 video gamers, and 89 of them said that they prefer playing games on a console, rather than a
Orlov [11]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.

Of 341 surveyed players, 89 said that they prefer using a console.

The sample resulting sample proportion is p'= 89/341= 0.26

If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.

H₀: p ≥ 0.28

H₁: p < 0.28

α: 0.05

To study the population proportion you have to use the approximation of the standard normal Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }≈N(0;1)

Z_{H_0}= \frac{0.26-0.28}{\sqrt{\frac{0.28*0.72}{341} } }= -0.82

This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:

P(Z≤-0.82)= 0.206

Using the p-value approach:

If p-value ≤ α, reject the null hypothesis

If p-value > α, don't reject the null hypothesis

The decision is to not reject the null hypothesis.

Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.

I hope this helps!

4 0
3 years ago
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
Over [174]

Answer:

135

Step-by-step explanation:

135+45=180

5 0
3 years ago
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