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masya89 [10]
3 years ago
8

Use the following equations to solve the problem.

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0
D f = d i + v * t
We know that: 1 mi = 1.61 km
d i = 11.3 km
v = 35 mph = 35 * 1.61 = 56.35 km/h
t = 3 h
d f = 11.3 km + 56.35 * 3 h = 11.3 km + 169.05 km = 180.35 km ≈ 180 km
Answer:
B ) 180 km
Liono4ka [1.6K]3 years ago
3 0
35 mph = 56 km/h

Final distance = 11.3 + 56 x 3
Final distance = 179.3 km

The second option is correct.
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According to the National Telecommunication and Information Administration, 56.5% of U.S. households owned a computer in 2001. W
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Assuming a binomial distribution for the number of U.S. households that owned a computer in 2001. The formula for binomial distribution is expressed as

P(X = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q = probability of failure

n = number of sample

From the information given,

p = 56.5% = 56.5/190 = 0.565

q = 1 - p = 1 - 0.565 = 0.435

n = 3

We want to determine P(x greater than or equal to 1). This is also expressed as

1 - P(x lesser than or equal to 1)

P(x lesser than or equal to 1) = P(x = 0) + P(x =1)

P(x = 0) = 3C0 × 0.435^(3 - 0) × 0.565^0 = 0.082

P(x = 1) = 3C1 × 0.435^(3 - 1) × 0.565^1 = 0.32

P(x greater than or equal to 1) = 0.082 + 0.32 = 0.402

6 0
3 years ago
Anna is saving to buy some souvenirs on a family vacation. She has already saved $125, and she saves another $2 from her
FinnZ [79.3K]

We can assume that the y-intercept for this equation is 125, because that would be how much Anna already has saved before she begins saving money from her allowance. Then, we know that Anna adds $2 to her savings each day from the problem, so we know that the slope will be positive 2 then.

Equation:

y = 2x + 125

Graph:

Attached below

Hope this helps!! :)

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to cos(1.4x) − cos(0.6x)?
givi [52]

Answer:

  A.  -2sin(x)sin(0.4x)

Step-by-step explanation:

At x=0, the given expression evaluates to zero.

For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.

Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A:

   -2sin(x)sin(0.4x)

___

Of course, a graphing calculator can help you figure this out. See the attachment. The given expression is plotted using a solid red line; the answer choice A is plotted using blue dots.

5 0
3 years ago
Read 2 more answers
What is (16x+9)+(−9x−5) ?
seropon [69]

Answer:

7+4

Step-by-step explanation:

hope it helps

8 0
3 years ago
Read 2 more answers
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 5
Lisa [10]

Answer: 0.4987

Step-by-step explanation:

Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with

Mean : \mu=5\text { lbs}

Standard deviation : \sigma= 2\text{ lbs}

Let X be the random variable that represents the weight of randomly selected student .

Z score : z=\dfrac{x-\mu}{\sigma}

For x = 5 lbs

z=\dfrac{5-5}{2}=0

For x = 11 lbs

z=\dfrac{11-5}{2}=3

By using the standard normal distribution table ,  the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

P(5

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987

5 0
3 years ago
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