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2 years ago

PLEASE HELP THANK YOU SO MUCH IN ADVANCE. IF POSSIBLE PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER

Mathematics

1 answer:

natka813 [3]2 years ago

8 0

Answer:

Step-by-step explanation:

To be right triangle has to verify the Pythagorean Theorem

hypothenuse² = (side 1 )² + (side 2)²

Since the hypothenuse is the largest of the sides we consider the largest number the hypothenuse and check the relation.

16, 30, 34

34² = 16²+30²; 1156 = 1156 ✅

16, 30, 34 are measurements of a right triangle

8, 14, 16

16² = 8² +14²; 256 = 260 ❌

8, 14, 16 is not a right triangle

10, 12, 16

16² = 10² +12²; 256 = 244 ❌

10, 12, 16 is not a right triangle

5, 12, 13

13² = 12²+5²; 169 = 169 ✅

5, 12, 13 are measurements of a right triangle

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A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude

AnnZ [28]

Answer :

<h3> $4^{10}$ <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as by using the product rule

$=4.4.4.4.4.4.4.4.4.4$

$=4^{10}$

$=1048576$

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>

3 0

3 years ago

Please help

stiks02 [169]

Answer:

270 cubic inches

Step-by-step explanation:

first you multiply 9 times 5 which equals 45 and then you multiply 45 by 6 to get 270. (for volume its length times width times height)

3 0

3 years ago

Solve for x. Write the smaller solution first, and the larger solution second.

Shkiper50 [21]

Answer:

Step-by-step explanation:

x^2 + 3x - 10 = 0

(x - 2)(x + 5) = 0

x - 2 = 0 x + 5 = 0

x = 2 x = -5

smaller x = -5

larger x = 2

5 0

3 years ago

What would the answer be to this

Vladimir79 [104]

Answer:

265.2

Step-by-step explanation:

3(6*13)=234

2*15.6=31.2

234+31.2=265.2

6 0

3 years ago

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

san4es73 [151]

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0

3 years ago