The true statement about the equation of the line of best fit (d) For every year a person gets older, their screen time decreases by 3.2 minutes
How to interpret the line of best fit?The equation of the line of best fit is given as:
y = -3.2x + 274.4
Where:
x represents the persons agey represents the average daily screen timeA linear equation is represented as:
y = mx + b
Where:
m represents the slopeb represents the y-interceptBy comparison, we have:
m = -3.2 and b = 274.4
This means that:
For every year a person gets older, the average screen time decreases by 3.2 minutes
Hence, the true statement is (d)
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Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towards its base
please help me fast
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
Find the greatest common factor of 27,45and9
Answer:
9
Step-by-step explanation:
GCF of 27 and 45 is 9.
Look at the image... I hope this image helps you.
please answer this i need help
Answer:
X=70⁰
Step-by-step explanation:
Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
Answer:
x=70
Step-by-step explanation:
Angle X and 70⁰ are corresponding angles.
Which of the following is involved in an informal argument for the formula for the circumference of a circle? (1 point)
Perimeter
Chord
Area
Circumference
The circumference of a circle is the same as the perimeter of the circle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
The circumference of a circle is the same as the perimeter of the circle. It is given by:
Circumference = 2π × radius = π * diameter
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If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.
Step-by-step explanation:
correct me if I'm wrong.[tex]\huge\mathfrak\red{Hope it's help}[/tex]
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true?
which of the values shown are potential roots of f(x)=3x^3-13x^2-3x+45? Select all that apply
Answer: 3 and 5 (b and g)
Step-by-step explanation:
I got it correct on Edge
Donna bought 5 bags of dog treats for 12.55. What is the cost per bag
Answer:
$2.51
Step-by-step explanation:
12.55/5= 2.51
a bag of dog treats is 2.51 per bag
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41
The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
The total amount to be withdrawn in a year = 15265*2 = $30530
The total amount to be withdrawn in 35 years =$1068550
What is the compound interest?Compound interest is interest on interest along with interest on the principle.
Annual Rate of interest = 4.5%
Semi-annual rate of interest r=2.25%
Amount A= $1068550
[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]
[tex]P = $225093.358[/tex]
Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
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Can someone help me with 9 and 10 i will give brainiest
Answer:
4y-3
Step-by-step explanation:
Need Answers for B,C,D
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population? Answer is $0.62
(b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population proportion? Explain.
The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
Sketch the graph of y=x^2-4x+3
Answer:
see attached graph
Step-by-step explanation:
Given equation: [tex]y=x^2-4x+3[/tex]
Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]
where [tex]c[/tex] is the y-intercept
If [tex]a > 0[/tex] then the parabola opens upwards.
If [tex]a < 0[/tex] then the parabola opens downwards.
Therefore, the y-intercept of the graph is (0, 3)
To find the x-intercepts, factor the equation:
[tex]y=x^2-4x+3[/tex]
[tex]\implies y=x^2-x-3x+3[/tex]
[tex]\implies y=x(x-1)-3(x-1)[/tex]
[tex]\implies y=(x-3)(x-1)[/tex]
Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)
To determine the vertex, differentiate the equation:
[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]
Set to zero and solve for x:
[tex]2x-4=0 \implies x=2[/tex]
Substitute [tex]x=2[/tex] into the original equation and solve for y:
[tex]\implies y=(2)^2-4(2)+3=-1[/tex]
Therefore, the vertex (or turning point) is at (2, -1)
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answer:
(2,4)====(-4,2)
(4,3)===(-3,4)
(2,3)====(-3,2)
PLEASE HELP! DUE TODAY! TY!
Use the diagram to find measure of Arc HJ.
Work:
(HJ) =
Answer: 44 degrees
Step-by-step explanation:
How do you write 5.0 × 105 in standard form?
Answer:
I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000
Step-by-step explanation:
The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.
A, B, C, D and E lie on the circle.
AB is extended to F.
Angle AED = 140° and angle CBF = 95º.
Find the values of w, x and y.
Step-by-step explanation:
it may hint for you by this you can go easily it change for me sorry
what is your favirote subject
Answer:
My favorite subject is Science
Step-by-step explanation:
Because it’s really interesting and the concepts about everything that could and will happen is fascinating
Please i need help !!!
Answer:
Jenna is correct.
Step-by-step explanation:
See attached image.
I need help 1 through 13 please and thank you
Answer
Let's get to it!
Step-by-step explanation:
1) There are 15 pounds of chees on that platter. (3+5+3+4=15)
2) The total weight is 32 ounces and 6 pounds.
3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)
4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)
5) There is a total of 4/8 or 1/2 of an ounce
6) 2/8 ounces of oregano is left.
7) This recipe requires 1 and 1/2 pounds of meat.
(This is all I could do without paper) sorry, hope this helps.
If tan 0 = 8/15, what is sin 0?
I will give brainiest find a linear inequality with the following solution set. each grid line represents one unit.
(give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.)
Answer:
Step-by-step explanation:
please help i am confused.
Answer:
12.16 inches.
Step-by-step explanation:
Use pythagoras thereom since they are right angle triangles. A² = c² - b².
For NP triangle:
10² - 4² = 84. square root of 84 is 9.165.
For MN triangle:
5² - 4² = 9. square root of 9 is 3.
finally, add them up:
3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.
PLEASE HELP ASAP!!!
i dont know this
Answer:
Put 4.96 in the second box then solve which the answer is 6.76
Step-by-step explanation:
convert 15cm ^ 3 into m * m ^ 3
Answer:
15 ×10^-6
Step-by-step explanation:
1 m = 100 cm
1m^3 = 100^3 cm^3
1m^3 = 1×10^6 cm^3
15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3
Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made
Answer:
120
Step-by-step explanation:
The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:
[tex]\frac{10!}{3!(10-3)!}=120[/tex]
This means that you can make 120 three-vegetable plates
Fill in the table using this function rule
y=5+4x
This is the FORTH time I’ve posted this question PLEASE answer IT
20 POINTSSSSS
Answer:
-6,-1,4,9,14
Step-by-step explanation:
Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 times as many should be your answer.
Give an example of dimensions of a pyramid that would result in a volume of 36 cubic units.
Answer:
Step-by-step explanation:
Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2
The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.
How to find the dimensions of a pyramid?To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:
Volume of a pyramid = (1/3) x Base area x Height
Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.
Now, we can substitute the given volume of 36 cubic units into the formula:
36 = (1/3) x a^2 x h
Multiplying both sides by 3 and dividing by a^2, we get:
h = 108/a^2
So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.
We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.
For example, if we choose "a" to be 3 units, we get:
h = 108/3^2 = 12 units
Therefore, the dimensions of the pyramid are:
Base: 3 units x 3 units
Height: 12 units
Checking the volume using the formula, we get:
Volume of the pyramid = (1/3) x 3^2 x 12
Volume of the pyramid = 36 cubic units
So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.
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Help me please !!!!!!!
Answer:
25ft/s
Step-by-step explanation:
500ft/20s = 25ft/s