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Vikki [24]
3 years ago
13

At most, 47 passengers can sit on a bus. There are already 29 passengers seated on the bus. The inequality p+ 29 less than or eq

ual to 47 represents this situation, where p is the number of additional passengers who could be seated
Mathematics
1 answer:
AlekseyPX3 years ago
8 0
P+29=47
p=47-29
p=18
It is less than 47 :)

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The dot plot below represents a set of
mel-nik [20]
1, 3, 3, 4, 5, 6, each x is one of each number below
3 0
3 years ago
ABCD is a trapezoid.<br> What is the area of trapezoid?
lana [24]
Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
  Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
  Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
  Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
  Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
  Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
  Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
  Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
  (5/8 -1/6 -1/12)AB·h = 30 cm²
  AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
  Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
6 0
3 years ago
SIMPLE CORDINATE PLOTTING! BRAINLIEST, 5 STAR, AND A LIKE ON UR ANSWER. SHOW SOME WORK.
Damm [24]

Answer:

A

Step-by-step explanation:

( 2, -5 )

( -2, -5)

Hope this helps dude

7 0
3 years ago
Read 2 more answers
Professor Doom has applied to the town planning board to build a Villain's Lair in a suburban neighborhood. The local residents
tester [92]

Answer:

Check explanation below.

Step-by-step explanation:

Hello!

The objective of this experiment is to test if doctor Doom is controlling the neighbors' minds from his new Lair. To test this a random sample of 11 neighbors was taken and a "free will" test was administrated before the Villain's Lair was constructed and again after it was finished.

This experiment type where you have a single sample and the variable is measured "before" and "after" applying a treatment (in this case, that doctor Doom has moved into town) is a classic example of a paired sample test. You have two dependent variables, X₁: "Results of the free will test before Dr. Doom Lair is constructed" and X₂: "Results of the free will test after Dr. Doom Lair is constructed", with these variables you can establish a new variable, Xd, that I'll define as " X₁- X₂", and the objective of my hypothesis test will be to know if there is any change after the Lair is done, if there is, in fact, a change then the population mean of the difference will be nonzero, symbolically: μd ≠ 0

Using the data I've calculated the summary measures for Xd:

sample mean: Xd[bar]= 3.18

sample standard deviation: Sd= 5.44

The statistic hypothesis is:

H₀: μd = 0

H₁: μd ≠ 0

α: 0.05

(There is no signification level specified, so I've chosen the most common one)

Assuming that the variable difference, Xd, has a normal distribution, and with unknown population variance, the best statistic to use is the Students-t for paired samples:

t=  Xd[bar] - μd  ~t_{n-1}

Sd/√n

This test is two-tailed, so you will reject at low values of the statistic or at high values of it.

t_{n-1;\alpha/2 } = t_{10; 0.025} = -2.228

t_{n-1; 1-\alpha /2} = t_{10; 0.975} = 2.228

If t ≤ -2.228 or t ≥ 2.228 then you reject the null hypothesis.

If -2.228 < t < 2.228 then you don't reject the null hypothesis.

t= <u> Xd[bar] - μd  </u> =  <u> 3.18 - 0  </u> = 1.94

        Sd/√n             5.44/√11

Since the statistic value t= 1.94 then the decision is to not reject the null hypothesis.

So, with a significance level of 5% there is not enough evidence to reject the null hypothesis, this means that the population mean of the difference on the free will test results of the neighbors before and after the Villain's Lair was constructed is equal to cero. In other words, there is not enough evidence to conclude that Dr. Doom is controlling the neighbor's minds.

I hope it helps!

3 0
3 years ago
What's 17 times 1764
Gnoma [55]
Answer:


1764 x 17 = 29,988
3 0
3 years ago
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