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Galina-37 [17]
3 years ago
8

An automobile manufacturer has given its van a 39.0 miles/gallon (MPG) rating. An independent testing firm has been contracted t

o test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 120 vans, they found a mean MPG of 38.8. Assume the population standard deviation is known to be 2.2. Is there sufficient evidence at the 0.02 level to support the testing firm's claim? Make the decision to reject or fail to reject the null hypothesis.
a. Reject Null Hypothesis
b. Fail to Reject Null Hypothesis
Mathematics
1 answer:
swat323 years ago
6 0

I know that the value of the test statistic is z= -1.00 given the information I just read from your upload.

I want to say B. Fail to Reject Null Hypothesis

But I'm not a 100% sure it's actually B

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9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
irakobra [83]

<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
  • Perpendicular = ?

\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

4 0
2 years ago
There are 49 flowers to split evenly between 7 vases. How many flowers go in each vase?
dexar [7]
49 divided by 7 is 7. 

The answer is 7 flowers in each vase.
3 0
3 years ago
Read 2 more answers
When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32
ziro4ka [17]
Answer: 1 hour and 40 minutes

Explanation: Add all the time together and you get 100 minutes.

100 - 60 = 40

(I’m not very good at explaining it)
7 0
2 years ago
Read 2 more answers
Can someone plz help me with this one problem plz I really need this to be correct!!!
daser333 [38]

Answer:

The answers would be 5.42 and 5.1.

Step-by-step explanation:

The diagram shows 5.39, so those answers would be more than the diagram shows.

3 0
3 years ago
50 POINTSSSS!!!!!!! HELP ASAP<br><br> DONT SCAM PLS
Anit [1.1K]

The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)

<h3>Factorization</h3>

Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number.

In the given expression, 36x⁴y³ - 16x³y can be factorized as

36x⁴y³ - 16x³y = 4x³y(9xy² - 4)

The common factor in the expression is 4x³y

Learn more on factorization here;

brainly.com/question/8021175

#SPJ1

3 0
11 months ago
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