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4 years ago

Use the data set below to determine measurements of central tendency. (45, 65, 30, 50, 20, 30)

2 answers:

5 0

Mean: [45+65+30+50+20+30]/6 = 40.2

Median

First order the number {20, 30, 30,45, 50, 50}

The median is the average of the two values in the middle of the list: (30+45)/2 = 37.5

Mode: 30 and 50 (they are repeated the same number of times)

valkas [14]4 years ago

3 0

Answer:

Answer C

mean = 40, median = 37.5, mode = 30

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Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

Mashutka [201]

<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

7 0

4 years ago

15 points! Please help me with this question

Galina-37 [17]

Answer:

48 f t

Step-by-step explanation:

5 0

3 years ago

Milan invested his savings in two investment funds. the $4000 that he invested in fund a returned a 3% profit. the amount that h

mariarad [96]

Given:

Percent Amount $

Fund A 3% $4000

Fund B 1% x

Total Funds 8% $4000 + x

Find:

Fund B Investment

Solution:

$4000 * .03 + .10 * x = .08% ($4000 + x)

We already know 3 rates and one amount invested

$4000 * .03 + .10 * x = .08% ($4000 + x)

Multiply them out:

120 + (0.10 * x) = 320 + 0.08x

Now, we combine like terms.

.10x – 0.08x = 320 – 120

.02x = 200

Isolate x

x = 200 / 0.02

Divide

x = $10,000

Checking:

($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)

120 + 1000 = 320 + 800

1120 = 1120

Therefore, fund B has an investment of $10,000.

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3 years ago

The boys go to the store after their “Time-Out" to buy flowers for Lisa as

SpyIntel [72]

Answer:

20% of the carnations have wilted.

I hope this helps you :D

8 0

3 years ago

Plz answer the one in the left middle it goes along with the one right next to it.btw the top number in the pyramid says 72☺

9966 [12]

I hope this helps you

4 0

4 years ago