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Sunny_sXe [5.5K]
2 years ago
14

A model of a tractor trailer is shap d like a rectangular prism and has a width of 2 in. , a length of 11 in. , and a height of

4 in. The scale of the model is 1:35. How many times is the volume of the actual tracto trailer ?
Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

Answer:

Actual volume=3,773,000 in³

Step-by-step explanation:

Scale 1:35

Actual Width=Model Width×Scale factor=(2×35)=70 inches

Actual Length=Model Length×Scale factor=(11×35)=385 inches

Actual Height=Model Height×Scale factor=(4×35)=140 inches

Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³

Actual volume=3,773,000 in³

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Lung cancer is the leading cause of cancer-related deaths in the United States. Researchers examined the idea of testing all Med
Sidana [21]

Answer:

a. P(C) = 0.03

   P(test+ | C) = 0.89

   P(test- | no C) = 0.93

b. Tree diagram is attached.

c. P(test+) = 0.0946

d. P(C | test+) = 0.2822  

Step-by-step explanation:

a. Let C denote Lung Cancer The probability that a heavy smoker will develop lung cancer is 3% i.e. 0.03.

If lung cancer is present, the CT scan result comes out to be positive 89% of the times while if lung cancer is not present, the results are negative 93% of the time. Let test+ denote that the test result is positive and test- denote that the test result is negative.

P(C) = 0.03

P(test+ | C) = 0.89

P(test- | no C) = 0.93

b. The first pair of branches represent whether the individual has cancer or not.

P(C) = 0.03

P(no C) = 1 - 0.03 = 0.97

The second pair of branches will represent if the test result came out positive or negative.

For patients with cancer, P(test+) = 0.89, P(test-) = 1 - 0.89 = 0.11

For patients with no cancer, P(test -) = 0.93, P(test+)= 1 - 0.93 = 0.07.

The tree diagram is attached as an image file.

c. P(test+) = P(C)*P(test+| C) + P(No C)*P(test+| No C)

                                = (0.03)(0.89) + (0.97)(0.07)

                                = 0.0267 + 0.0679

    P(test+) = 0.0946

d. P(C | test+) = P(C ∩ test+) / P(test+)

                       = P(C)*P(test+ | C) / P(test+)

                       = (0.03)*(0.89) / 0.0946

    P(C | test+) = 0.2822  

7 0
2 years ago
An oblique square prism is shown. An oblique square prism is shown. The square has side lengths with a measure of x. The distanc
dimaraw [331]

Answer:

Your answer is C.) x2(x – 2) cubic units

On EDG

Step-by-step explanation:

Just took the test

6 0
3 years ago
Read 2 more answers
What is the difference between the areas of a circular target region with radius 5 m and a target region with radius 7 m? Round
Oliga [24]
That would be 7²π-5²π=49π-25π=24π≈75
6 0
2 years ago
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There are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yell
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Answer:

1/5

Step-by-step explanation:

the prob that you will pick a blue marble would be 12/16, easy.

then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.

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2 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
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Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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3 years ago
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