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zloy xaker [14]
2 years ago
13

A bus is travelli ng with the velo ci ty of 60 km/hr . Pressin g the bra kes sud denly, it is reta rde d to 0.05 m/s2 . How fa r

w ill it tra vel bef ore com ing to rest?
(Ans:20m, 4s)​
Mathematics
1 answer:
solong [7]2 years ago
5 0

Step-by-step explanation:

Initial velocity(u) = 60 km/hr = 50/3 m/s

final velocity(v)= 0 (stops at rest)

acceleration(a) = -0.05 m/s²

display (s)=?

v²-u²=2as

0²- (50/3)= 2(-0.05)s

2500/9= 0.1s

s= 25000/9 m

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What is the quadratic regression equation for the data set?
Svet_ta [14]

Answer:

y=−0.004x2+0.415x−0.546

6 0
3 years ago
A property owner wants to build a cyclone fence around their property. The lot is rectangular, 110 feet by 270 feet. The fence i
dimulka [17.4K]

Answer:

total cost= $5,814

Step-by-step explanation:

Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft

total sq ft= 760 x (7) = 5320 sq ft

total linear ft x labor= 760 x 1.70 = 1292 labor

Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522

the total cost is 1292 + 4522 = $5,814

8 0
4 years ago
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age
lora16 [44]
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"

Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68


7 0
3 years ago
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se
notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0
3 years ago
15 points: can someone help me with this thank you. (all separate equations)
OLga [1]

Step-by-step explanation:

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2p-k=3\qquad\text{subtract}\ 2p\ \text{from both sides}\\\\2p-2p-k=3-2p\\\\-k=3-2p\qquad\text{change the signs}\\\\k=-3+2p\\\\\large\boxed{k=2p-3}\\\\===================

6v-2w=10\qquad\text{subtract}\ 6v\ \text{from both sides}\\\\6v-6v-2w=10\\\\-2w=10-6v\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2w}{-2}=\dfrac{10}{-2}-\dfrac{6v}{-2}\\\\w=-5+3v\\\\\large\boxed{w=3v-5}\\\\===================

5 0
3 years ago
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