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lesantik [10]
3 years ago
14

HELP PLEASE ASAP !!! ON THE LAST QUESTION NEED IT AS SOON AS POSSIBLE !! 10 points

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0
First blank: not random    Because he sent it to the top 5 students. Not random students throughout the grade.

second blank: I would guess not valid because it was not a random sample.
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The two triangles below are similar. What is the ratio of the corresponding side lengths? 4:9 4:2 26:26 4.5:2
MrRa [10]

Answer:

4 : 2

Step-by-step explanation:

We are given ΔABC ≅ ΔA'B'C'.

When two triangles are congruent, their corresponding sides and angles are congruent.

Since, the sides of the triangles are in relation,

AB = 2 × A'B' and side BC = 2 × B'C' i.e. 4 = 2 × 2 and 9 = 2 × 4.5.

Therefore, the ratio of the corresponding sides are given by 4 : 2 and 9 : 4.5 i.e. 2 : 1.

Since, the ratio of the corresponding sides comes out to be 2 : 1 = 4 : 2.

Hence, the ratio of the corresponding sides is 4 : 2.

8 0
3 years ago
Read 2 more answers
( PLEASE HELP BONUS POINTS ) The bases of a trapezoid or 24 ft and 16 feet. the height of the trapezoid is 12 feet. What is the
mote1985 [20]

Answer:  240 feet squared

Step-by-step explanation: A=(b1+b2)h is formula used for trapezoids.

Plug the appropriate numbers in and solve.

7 0
3 years ago
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St
saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(domestic airfare is $550 or more)

P(x > 550)

P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)

= 1 - P(z \leq 1.5)

Calculation the value from standard normal z table, we have,  

P(x > 550) = 1 - 0.933 = 0.067= 6.7\%

b) P(domestic airfare is $250 or less)

P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)

Calculating the value from the standard normal table we have,

P( x \leq 250) = 0.111 = 11.1\%

c))P(domestic airfare is between $300 and $500)

P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%

P(300 \leq x \leq 500) = 61.2\%

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03

= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03

=P( z \leq \displaystyle\frac{x - 385}{110})=0.997

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0
3 years ago
What is the number 2,141 estimated to the nearest thousand
bagirrra123 [75]
It would be 2000 because 141 is closer to 0 so yah
7 0
3 years ago
Read 2 more answers
Working together, Katherine and Marina can sand a large cabinet in 2 hours. It would take Katherine 10 hours to do the job alone
jenyasd209 [6]

<u>Answer</u>

Option 2  

The part of the job that Marina can complete in 1 hour

<u>Explanation</u>

Working together, Katherine and Marina can sand a large cabinet in 2 hours.  

In hour the complete 1/2 of total work

It would take Katherine 10 hours to do the job alone.

In one hour Katherine complete 1/10 of total work

Let r, the part of the job that Marina can complete in 1 hour

So we can write,

r = 1/2 -1/10 = 0.4

The part of the job that Marina can complete in 1 hour is  0.4

8 0
3 years ago
Read 2 more answers
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