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4 years ago

Car A went 60 km in 3/4 hour while a car B went 80 km in 4/5 hour. Which car was faster? How many times faster?

Mathematics

1 answer:

Helen [10]4 years ago

3 0

Answer:

Car A went 60 km in 3/4 hour, mean 60: 3/4=80 km per hour.

Car B went 80km in 4/5 hour, mean 80;4/5= 100km per hour.

So Car B went faster than Car A and faster than 20 km. That will be help.

Step-by-step explanation:

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Find s25 for 3 + 7 + 11 + 15

alexdok [17]

The common difference is d = 4 because we add 4 to each term to get the next one.

The starting term is a1 = 3

The nth term of this arithmetic sequence is
an = a1 + d(n-1)
an = 3 + 4(n-1)
an = 3 + 4n-4
an = 4n - 1

Plug in n = 25 to find the 25th term
an = 4n - 1
a25 = 4*25 - 1
a25 = 100 - 1
a25 = 99

So we're summing the series : 3+7+11+15+...+99

We could write out all the terms and add them all up. That's a lot more work than needed though. Luckily we have a handy formula to make things a lot better
The sum of the first n terms is Sn. The formula for Sn is
Sn = n*(a1+an)/2

Plug in n = 25 to get
Sn = n*(a1+an)/2
S25 = 25*(a1+a25)/2

Then plug in a1 = 3 and a25 = 99. Then compute to simplify

S25 = 25*(a1+a25)/2
S25 = 25*(3+99)/2
S25 = 25*(102)/2
S25 = 2550/2
S25 = 1275

The final answer is 1275

8 0

3 years ago

2 is underlined 4.282 what is the place value for 2

labwork [276]

The first 2 is in the tenths place
The second 2 is in the thousandths place

7 0

3 years ago

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A Each topping costs $1

Ksju [112]

It is a assuming each topping is a dollor

3 0

2 years ago

Find the rate of change.

ollegr [7]

Answer:

It add up by 6.

Step-by-step explanation:

6 plus 6 is 12 plus another is 18 and it keeps going.

4 0

4 years ago

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consider the distribution of monthly social security (OASDI) payments. Assume a normal distribution with a standard deviation of

Orlov [11]

Answer:

$\mu = x - z(\sigma)$

$\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15$

Therefore, the mean monthly payment is $1137.15.

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We are asked to find the mean monthly social security (OASDI) payment.

Mean monthly payment = μ = ?

We are given that the standard deviation is $116

One-fourth of payments are above $1214.87

One-fourth means 25%

$P(X > x )= P(Z > z ) = 0.25\\\\P(X < x )= P(Z < z) = 1 - 0.25\\\\P(X < x )= P(Z < z) = 0.75\\\\$

From the z-table, the z-score corresponding to 0.75 is found to be 0.67

$z = 0.67$

The mean is found by

$x = \mu + z(\sigma)$

$\mu = x - z(\sigma)$

Where

x = $1214.87

z = 0.67

σ = $116

$\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15$

Therefore, the mean monthly payment is $1137.15.

3 0

3 years ago