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3 years ago

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Can a triangle have an angle that measures of 179 degrees? If so, what type of triangle would it be? A. Yes, such a triangle wou

ld be isosceles. B. Yes, such a triangle would be obtuse. C. Yes, such a triangle would be obtuse and isosceles. D. No such triangle exists.

1 answer:

avanturin [10]3 years ago

4 0

I think it would be B

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New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their

Tom [10]

Answer:

1

The correct option is C

2

The correct option is C

3

The correct option is A

4

The correct option is B

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 100$

The standard deviation is $\sigma = 15$

The sample size is $n = 36$

The sample mean is $\= x = 105.1$

Generally

The null hypothesis is $H_o: \mu = 100 \ hours$

The alternative hypothesis is $H_a : \mu \ne 100\ hours$

Given that the null hypothesis is true then the distribution of sample means $\mu_{\= x }$ , from a sample size of 36 is mathematically represented as

$\mu_{\= x } = \mu$

=> $\mu_{\= x } = 100$

According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large $(n > 30 )$ so given that the sample size is large n = 36

Then the test is normally distributed and hence the standard deviation is 15

Generally the standard error of mean is mathematically represented as

$\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }$

=> $\sigma_{\= x } = \frac{15}{\sqrt{36} }$

=> $\sigma_{\= x } = 2.5$

Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

$P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }}$

=> $P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z$

From the z-table (reference calculator dot net )

$P(Z$

So

$P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932$

$P( \= X \ge 105.1 ) =0.02$

4 0

4 years ago

A worm travels 1,250 millimeters. How many meters did the worm travel? step by step

const2013 [10]

1.25m is your answer

4 0

3 years ago

13.24503311258278 Round to the nearest tenth as needed

Ksenya-84 [330]

The number provided rounded to the nearest tenth is 13.2.

Because the number in the hundreds place is a 4, we round down and keep the tenth at 2.

7 0

3 years ago

F(x) = x2. What is g(x)?<br> A. g(x) = -2-3<br> B. (X) = -x2<br> C. g(x) = x2-3<br> D. g(x) = -3/2

Zarrin [17]

Answer: B

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Filomena applies the commutative property to the product. (7/15)⋅(−11)⋅(30) Which expression illustrates the commutative propert

dedylja [7]

The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.

Commutative property of multiplication is expressed as:

a x b = b x a

a x b x c = a x c x b = b x c x a

Note: " . " in the question also means "x" (multiplication)

Applying commutative property to the question:

(7/15)⋅(−11)⋅(30)

(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)

The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.

Option A is the correct answer.

To learn more, visit the link:

brainly.com/question/24733555

8 0

3 years ago

Read 2 more answers