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3 years ago

14

I NEED HELP ASAP... PLEASE HELP

1 answer:

Evgen [1.6K]3 years ago

6 0

The first one is y=6(x-2)^2+4 and the second one is y=-3/2(x+6)^2+4

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I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP!!!

professor190 [17]

52 kilometers in 4 hours = 52 x 4 = 208 km in 4 hours

Total of 5 hours = 208 km + 62 km = 270 km

Average speed = 270 km / 5 hours = 54 km per hour

Answer

54 km per hour

5 0

3 years ago

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

3 years ago

A racquetball club membership costs $22.50 per month. What would a year’s membership cost?

dsp73

Answer:

270 dollars for a year, so 22.50 times 12

8 0

3 years ago

Read 2 more answers

The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.

nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches .... correct

when h = -6inches

A = 18 * -6 ≠ 216 square inches

So height is 12 inches

5 0

3 years ago

In the 9th and 10th grades at Jefferson High School, there are 236 students. Of thoes students, 121 are in 9th grade, Of the 214

Lorico [155]

Total -

Right-handed: 214! Left-handed: 22!

Total of students: 236 students

I hope this helped! :D

Step-by-step explanation:

9th Grade: Right Handed: 111! Left Handed: 10!

10 Grade: Right Handed: 103! Left Handed: 22!

Add left handed for both grades. Add right handed for both grades. And add total numbers.

I hope this helped :D

5 0

3 years ago

Read 2 more answers