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3 years ago

Jack went to baseball practice at 5:45 p.m. He returned home at 8:22 p.m. How long was he gone for? SHOW YOUR WORK PLEASE

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

2 hours and 37 mins

Step-by-step explanation:

you want to get to a full hour so 5:45 closes hour would be 15 minutes later which would be 6:00 and then you add 2 hours which would be 8:00 and you have 22 minutes to get 822 p.m. so you add the minutes together 15 + 22 which you'll get 37 and you'll have the 2 hours on the side so it would be 2 hours and 37 minutes

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Help solving this math

9966 [12]

Answer:

24 cm²
6400 -1600π ≈ 1373.45 square units

Step-by-step explanation:

1. You can look at this several ways.

It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².

You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².

You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².

2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...

Square area = d²

Circle area = π(d/2)²

So the difference area is ...

shaded area = d² -(π/4)d² = d²(1 -π/4)

For d=80, the shaded area is ...

shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units

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3 years ago

Fred solved the equation 8(3x – 7) = -6(x + 7) + 4 as shown.

OleMash [197]

Answer: He added 4 to a negative 42 and said it was 46 but its supposed to simplify to -38. X=3/5

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3 years ago

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviatio

Aleks04 [339]

Answer:

$P(\bar X\leq 4.55)=0.0142$

c. 0.0142

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=4.59,\sigma=0.1)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(4.59,\frac{0.1}{\sqrt{16}})$

2) Solution to the problem

We want this probability:

$P(\bar X\leq 4.55)$

The question on this case is ".Find the probability that the average price for 30 gas stations is less than $4.55". So then our value for n=30.

If we apply the formula for the z score to our probability we got this:

$P(\bar X \leq 4.55)=P(Z\leq \frac{4.55-4.59}{\frac{0.1}{\sqrt{30}}})=P(Z$

And using the normal standard table or the following excel code we calculate the probability "=NORM.DIST(-2.19,0,1,TRUE)"

$P(\bar X\leq 4.55)=0.0142$

8 0

3 years ago