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3 years ago

5

3) Veronica traveled 126 miles on 3 gallons of gas. On another trip she traveled 210 miles on 5 gallons of gas. Find the unit ra

te in miles per gallon on her two trips.

1 answer:

Goshia [24]3 years ago

8 0

The answer is 42 mpg, all you need to do is divide 126/3 or 210/5 and they both equal 42.

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A study shows that 20% of college students pray daily in their own religious beliefs. In a group of 300 college students, find t

svetlana [45]

Answer:

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = $\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93$

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma }$

For x = 57:

$z=\frac{57-60}{6.93 } =-0.43$

For x = 62:

$z=\frac{62-60}{6.93 } =0.29$

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

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3 years ago

I am a quadrilateral with 2 pairs of opposite sides that are parallel, 2 pairs of sides that are of equal length,and 4 right ang

Ludmilka [50]

Answer:

Rectangle

Step-by-step explanation:

The shape is of a rectangle who has got two pairs of opposite sides that are parallel and two pairs of sides that are of equal length of each other with all the four right angles that makes up total angle of 360 degrees in total. It can be acquired that the area which is equal to length multiply by breadth.

Calculation,

A length of the rectangle is equal to each other,

Assuming it to be 3cm,

Breadth of it is equal to each other,

Assuming that to be 2cm,

Length x Breadth = Area

3 x 2 = 6cm to the power 2.

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3 years ago

I will give 30 points please don’t mess around. Write an informal proof for why the construction of an equilateral triangle work

Marina86 [1]

Answer:

An equilateral triangle is one with all three sides the same length. It begins with a given line segment which is the length of each side of the desired equilateral triangle. ... It is similar to the 60 degree angle construction, because the interior angles of an equilateral triangle are all 60 degrees.

Step-by-step explanation:

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3 years ago

Naomi‘s fish is 40 mm long. Her guinea pig is 25 cm long. How much longer is your guinea pig than her fish?

hjlf

Answer:

21 cm

Step-by-step explanation:

25-4=21

3 0

3 years ago

2. In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students

Alja [10]

Answer:

<u>60</u> students are involved in either band or sports.

<u>95</u> students are not involved in either sports or band.

Step-by-step explanation:

Given:

In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities.

Now, to find the students are involved in either sports or band. And students who are not involved in either sports or band.

<em>Total number of students</em> = 320.

Number of students in the band = 85.

Number of students in the sports team = 200.

Number of students participate in both activities = 60.

Thus, 60 students are involved in either band or sports.

So, the number of students in the band adding number of students in the sports team we get:

200 + 85 = 285.

Then, to subtract the number of students participate in both activities we get:

285 - 60 = 225.

<em>Thus, the remaining students are </em>= 225.

Now, to get the students who are not involved in either sports or band we subtract the total number of students from the remaining students:

$320-225$

$=95.$

Therefore, 60 students are not involved in either band or sports. 95 students are not involved in either sports or band.

8 0

2 years ago