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4 years ago

Answer both questions please

Mathematics

1 answer:

ollegr [7]4 years ago

8 0

He first answer is: <1 and <4 <2 and <3
I can’t see all of question 2

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I really need help plzzzzz

Marianna [84]

Answer:

All similar, see below

Step-by-step explanation:

<u>Angles</u>

26° & 64° & 90°
AA similarity

<u>Ratios of corresponding sides:</u>

6/8 = 9/12 = 12/16 ⇒ 3/4
SSS similarity

<u>Angle C is vertical</u>

∠ACB ≅ ∠DCE

<u>Ratios of corresponding sides:</u>

9/15 = 18/30 ⇒ 3/5
SAS similarity

6 0

3 years ago

A die is rolled nine times and the number of times that two shows on the upper face is counted. If this experiment is repeated m

vivado [14]

Answer:

$E(x) = 1.5\\$

Step-by-step explanation:

Given

$n = 9$ -- number of rolls

Required

The mean of 2's

The distribution follows binomial distribution where:

$X \to Binomial(n,p)$

In this case:

$p= \frac{1}{6}$ ---- the theoretical probability of rolling 2

So, the mean of 2's is calculated using:

$E(x) = np$

$E(x) = 9 * \frac{1}{6}$

$E(x) = \frac{9}{6}$

Simplify

$E(x) = \frac{3}{2}$ or

$E(x) = 1.5\\$

5 0

3 years ago

1. Solve for the value of x

Tamiku [17]

Answer:

Explanation:

Line E B C Needs To Equal 180°

Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

7 0

3 years ago

The average daily volume of a computer stock in 2011 was ų=35.1 million shares, according to a reliable source. A stock analyst

Shtirlitz [24]

Answer:

The null hypothesis is $H_o : \mu = 35 .1 \ million \ shares$

The alternative hypothesis $H_a : \mu \ne 35.1\ million \ shares$

The 95% confidence interval is $27.475 < \mu < 37.925$

Step-by-step explanation:

From the question the we are told that

The population mean is $\mu = 35.1 \ million \ shares$

The sample size is n = 30

The sample mean is $\= x = 32.7 \ million\ shares$

The standard deviation is $\sigma = 14.6 \ million\ shares$

Given that the confidence level is $95\%$ then the level of significance is mathematically represented as

$\alpha = 100-95$

$\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 14.6 }{\sqrt{30} }$

$E = 5.225$

The 95% confidence interval confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

substituting values

$32.7 - 5.225 < \mu < 32.7 + 5.225$

$27.475 < \mu < 37.925$

6 0

3 years ago

Q.8 What is the tail length?

Arlecino [84]

If I'm correct you should make a fraction first
5.4 3.6
----- to -----
4.8 ?

Now find the missing number
5.4 to 3.6 would be a difference of ÷ 1.5 so you must do the same for 4.8

÷<span>1.5 </span>
5.4 3.6
----- to -----
4.8 3.2
÷1.5

The tail length should be 3.2 feet

3 0

4 years ago