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Ulleksa [173]
3 years ago
7

Worksheet

Mathematics
2 answers:
uranmaximum [27]3 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

Set proportions and solve

1a.

  • 333/37 = x/55 ⇒ x = 55*9 ⇒ x = 495 miles

1b.

  • 308/5 = x/ 3 ⇒ x = 61.6*3 ⇒ x = 184.8 miles

2a.

  • 428/107 = x/17 ⇒ x = 4*17 ⇒ x = 68 km

2b.

  • 1 / 9 = x / 288 ⇒ x = 288 / 9 ⇒ x = 32 kg
Svetlanka [38]3 years ago
5 0

Answer:

1a. 495 miles. 1b. 184.8 miles. 2a. 68 km. 2b. 32 kg

Step-by-step explanation:

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Approximately 13.2% of US drivers are younger than age 25, with 37.7% in the 25-44 age group, and 49.1% in the 45-and-over-categ
Elan Coil [88]

Answer:

could not be the same

Step-by-step explanation:

Given that approximately US drivers are agewise as follows:

<25   13.2

25-45   37.7%

>45   49.1%

Observations are made for a sample of 200 fatal accidents.

Let us create hypotheses as

H_0:  Proportions age wise are the same as for US drivers\\H_a: Proportions are different

(Two tailed chi square test at 5% significance level)

Age <25 25-45 >45  

Expected 13.2 37.7 49.1 100

Observed 42 80 78 200

Expected no  26.4 75.4 98.2 200

Chi square 9.218181818 0.280636605 4.155193483 13.65401191

df = 2

p value = 0.001084

Since p <0.05 we reject null hypothesis

At the  0.05 level, the age distribution of drivers involved in fatal accidents within the state could not be the same as the age distribution of all US drivers as there seems to be significant difference.

5 0
3 years ago
Write the linear equation 5x-15y=-8 in slope-intercept form?
mylen [45]
Y=(1/3)x+(8/15). Just subtract the 5x over and then divide everything by -15 to get y by itself. 
4 0
4 years ago
Which of the following are properties of the circumcenter of a triangle? Check
Alex_Xolod [135]

Answer: A. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

C. The circumcenter is equidistant fromeach vertex of the triangle.

D. The circumcenter is equidistant from each side of the triangle.

Step-by-step explanation:

The properties of the circumcenter of a triangle from the options given include:

• The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.

• The circumcenter is equidistant fromeach vertex of the triangle.

• The circumcenter is equidistant from each side of the triangle.

Option B is wrong as the circumcenter of an obtuse triangle is not always outside it. For the circumcenter, there is intersection of all the three lines and it's not important that they should always be outside.

5 0
3 years ago
It cost $109 per night to rent a motel room in Hampton. There is a one time $30 non refundable deposit required. How much will i
Lelu [443]

Answer: $793

Step-by-step explanation:

You would take the $109 and multiply it by 7 ( the amount of days in a week) and add $30 non-refundable fee! hope this helps :)

8 0
4 years ago
Factor the trinomial below.
tankabanditka [31]

Answer:

A. 4(2x+1)(x-2)

Explanation:

8x^{2} -12x-8

1. You can factor out a 4.

        4(2x^{2} -3x-2)

2. Factor (2x^{2} -3x-2).

        X-Method:

        1. Draw an X

        2. Multiply ac (2(-2)=-4) then put it in the top part of the X

        3. Then put b, -3, in the bottom part of the X

        4. On the two sides of the X find out what added together equals b, -3,

        and multiplied equals ac, -4.

        5. -4(1)=-4 & -4+1=-3

        6. If the quadratic has a coefficient then you must divide the two sides

        of the X by that coefficient, 2.

        7. -4/2=-2 & 1/2 can't be evenly divided into, so in this case the

        coefficient remains.

        8. When you write this out it will be (2x+1)(x-2)

3. Put it together to get your answer.

        4(2x+1)(x-2)

4 0
3 years ago
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