Find a value of 21 + 4(3^2 -5)

Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for s

EleoNora [17]

After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}$

We have a line of best fit:

y = 2.5 + 1.25x

Plug x = 7 weeks

y = 2.5 + 1.25(7)

y = 11.25 units

Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

Learn more about the line of best fit here:

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3 0

3 years ago

A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time t

Mandarinka [93]

Answer:

(a) Confidence Interval for Route A is (38.61, 41.39)min

Confidence Interval for Route B is (42.07, 43.93)min

(b) No

Step-by-step explanation:

(a) Route A

Mean=40min, sd=3min, df=33.1, t=2.0675, n=20

CI = (mean + or - t×sd/√n)

CI = (40 + 2.0675×3/√20) = 40+1.39 = 41.39min

CI = (40 - 2.0675×3/√20) = 40 - 1.39 = 38.61min

CI for Route A is (38.61,41.39)min

Route B

Mean=43min, sd=2min, t=2.0675, n=20

CI = (43 + 2.0675×2/√20) = 43+ 0.93 = 43.93min

CI = (43 - 2.0675×2/√20) = 43 - 0.93 = 42.07min

CI for Route B is (42.07,43.93)min

(b) He should not believe the old timer's claim. The man saves an average of 3 minutes a day by driving Route A

3 0

3 years ago

Read 2 more answers

Select the correct answer!<br> Help asap thanks

tester [92]

The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

<h3>Calculating area </h3>

From the question, we are to determine the area of the shaded region

The area of the shaded region = Area of the semicircle - Area of the triangle

First, we will determine the diameter, d, of the semicircle

d² = 3² + 4² (<em>Pythagorean theorem</em>)

d² = 9 + 16

d² = 25

d = √25

d = 5

∴ Diameter of the semicircle is 5

Thus,

Radius, r = 5/2 = 2.5

Now,

Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)

Area of the shaded region = 1/2(π×6.25) - 1/2(12)

Area of the shaded region = 3.125π - 6

Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

Learn more on Calculating area here: brainly.com/question/14989383

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7 0

2 years ago

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND BRAINLIST Question 3(Multiple Choice Worth 4 points) (05.03 MC) Kayson

Olin [163]

Answer:

The third one is the answer

Building B; it is around 16.35 feet taller than building A

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

cos y° = 6 divided by b cos y° = 6a cos

If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?

24 units

5 0

4 years ago

Read 2 more answers

HELP ASAP I GIVE BIG BRAIN AND 25plus 25 if u get big brain

Serga [27]

<u>Answer</u>:

the length of chicken coop and the garden is of 40 feet.

<u>Explanation</u>:

Given that the garden is the length of the chicken coop, equal length