-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?

Answer:

x = 33.8°

Step-by-step explanation:

The resulting diagram we have is a right triangle. To find x, apply trigonometric function.

Reference angle = x

Opposite = 116

Adjacent = 173

Apply TOA:

Tan x = Opp/Adj

[tex] tan (x) = \frac{116}{173} [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

x = 33.8° (nearest tenth)

Answer:

(3) [tex]y=-3[/tex]

Step-by-step explanation:

The two points have the same y coordinates so the slope is zero and because both points have an y of -3 the y coordinate will always be -3.

You didnt give us the numbers but it should be 4 and -4

Answer:

Hence, the data provides convincing evidence that a linear relationship exists between hours of sleep observed and academic performance as measured by GPA.

Step-by-step explanation:

Given the data:

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8

GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

The scatter plot shows a positive linear trend. With the correlation Coefficient depicting a R value of 0.56. The residual plot also depicts a a randomly scattered values of the residual values. Similarly, a plot of the normal values of  residuals

The data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data of the 14 seniors shown in the table.

To solve this question we will calculate the correlation coefficient 'r'

The formula for correlation coefficient :

[tex]\rm r =\frac{n\sum xy-\sum x \sum y}{\sqrt{[n\sum x^2-(\sum x)^2]}[n\sum y^2-(\sum y)^2]} }[/tex]

From the table the value of n = 14

[tex]\rm \sum x = 104.5[/tex] , [tex]\rm \sum y =47.7[/tex] , [tex]\rm \sum xy =357.8[/tex] , [tex]\rm \sum x^2 =797.25[/tex] , [tex]\rm \sum y^2 =163.09[/tex]

Put all the values in the above formula we get:

[tex]\rm r =\frac{14\times357.8-104.5 \times47.7}{\sqrt{[14\times 797.25-104.5^2][14\times163.09-47.7^2]} }[/tex]

[tex]\rm r = \frac{5009.2-4984.65}{\sqrt{(241.25)(7.97)} }[/tex]

[tex]\rm r = \frac{24.55}{43.849}[/tex]

r = 0.559 ≈ 0.56

The value of the correlation coefficient is 0.56 which is between the values 0.5 to 0.7 shows that the variables are moderately correlated.

Thus, the data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

Learn more about the correlation here:

brainly.com/question/11705632

Answer:

Length of arc AC = 10.6 ft

Length of arc ADC = 73.4 ft

Step-by-step explanation:

θ = 45°

Circumference = 85 ft

✔️First, find the radius:

Circumference of a circle = 2πr

Thus:

85 = 2πr

Solve for r

Use 3.14 as π

Divide both sides by 2π

85/2π = r

85/2*3.14 = r

85/6.28 = r

r = 13.5350318 ≈ 13.5 ft (nearest tenth)

✔️Find length of arc ADC:

Length of arc = θ/360 × Circumference of the circle

θ = 360 - 45° = 315°

Circumference = 85 ft

Plug in the values

Length of arc ADC = 315/360 × 85

= 74.375 ≈ 73.4 ft (nearest tenth)

✔️Find length of arc AD:

Length of arc = θ/360 × Circumference of the circle

θ = 45°

Circumference = 85 ft

Plug in the values

Length of arc AC = 45/360 × 85

= 10.625 ≈ 10.6 ft (nearest tenth)

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

Answer:

88 yd.²

Hope this helps!

Answer:

Area= 88 sq. yd.

Step-by-step explanation:

The formula for the area of a triangle is A= h b/2.

This means you just divide 16 (the base) by 2 to get 8, and then multiply it by 11 (the height). This gives you 88

Answer:

Apples: 23 , bananas = 9

Step-by-step explanation:

Apples = 18 x 6 = 108p = 1,08£

5-1,08 = 3,92£

£3,92 = 392p

Bananas = 392 : 40 = 9,8= 9

40x9 = 360p = 3,60£

change = 3,92 -3,60 = 32p

apples = 32 : 6 = 5,33 = 5

total apples = 23

Answer:

(a)317 and 3/5 (b) jimmy

Step-by-step explanation:

(a) 317 and 3/5 because i plus there chord both (b) no explanation cause jimmy has mire chord than james

Answer:

A.317 3/5

B.jimmy

Step-by-step explanation:

sana Po makatulong

Step-by-step explanation:

Just telling you, if your grades are bad,

you should listen to the teacher more in class time,

take notes, and more.

Btw, the equation is...

I hope this will help you.

I cannot give answers for everything.

I hope this helps!

Answer:

15

Step-by-step explanation:

Just substitute x in the equation

so x=3

so

3^2=9, 5x3=15, -9

equals 15

Answer:

r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2

Step-by-step explanation:

The volume of the cone can be find with this formula

V = (base area x height)/3

thanks to this formula we can find the base surface

base surface = (V x 3)/height

base surface = (2560π x 3)/30 = 256π cm^2

the formula of the base surface is

base surface = radius^2 x π

so we can find the radius in this way:

radius = √base surface/π

radius = √256π/π = 16 cm

slant height = [tex]\sqrt{radius^2 + height^2}[/tex]

[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm

lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2

surface area = base area + lateral surface = 256π + 544π =800π cm^2

Answer:

square with (-2,4) and (3,-1) vertices

Answer:

The answer would be 'B. perimeter'.

Answer:

2(8a+5)

Step-by-step explanation:

To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.

9514 1404 393

Answer:

  maximum height of 17.07 feet about 10.67 feet from the club

  returns to the ground 21.33 feet away

Step-by-step explanation:

A graphing calculator can answer these questions easily.

The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...

  x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club

The maximum height is the function value at that point.

  h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15

The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

Answer:

Step-by-step explanation:

First Case:

Given,

Side of the big square = 6 yd

Therefore,

Area of the big square = side × side

= 6yd × 6yd

[tex] = 36 {yd}^{2} [/tex]

Second Case:

Length of the patio = 4 yd

Breadth of the patio = 2 yd

Therefore,

Area of the patio = Length × Breadth

= 4yd × 2yd

[tex] = 8 {yd}^{2} [/tex]

Last Case:

According to first and second cases,

Area of the garden

= Area of the big square - Area of the patio

[tex] = 36 {yd}^{2} - 8 {yd}^{2} [/tex]

[tex] = 28 {yd}^{2} [/tex]

Required area of the garden is 28 sq. yd (Ans)

Answer: 4.2

Step-by-step explanation:

hb=2A

b=2·21

10=4.2ft

Answer:

Point, Line, Plane

Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word

Answer:

duuuuuuude if its easy then why do you need help huh answer me

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.

Answer:

About 4 days

Step-by-step explanation:

Convert 39 and 42 degrees C to a z score and then use the z-table

The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.

Given the following data:

Mean midday temperature = 36°C.

Standard deviation = 3°C.

In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:

Let the midday temperature be M.

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

Evaluating, we have:

P(M < 39) = P(Z < [39 -36/3])

P(M < 39) = P(Z < [3/3])

P(M < 39) = P(Z < 1).

P(M < 39) = 0.84134.

P(M < 42) = P(Z < [42 -36/3])

P(M < 42) = P(Z < [6/3])

P(M < 42) = P(Z < 2)

P(M < 42) = 0.02275.

Substituting the parameters into the formula, we have;

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

P(39 < M < 42) = 1 - [0.84134 + 0.02275]

P(39 < M < 42) = 1 - 0.86409

P(39 < M < 42) = 0.13591‬.

Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:

No. of days = 0.13591 × 30

No. of days = 4.0 days.

Note: There are 30 days in the month of June.

Read more on z-scores here: https://brainly.com/question/4302527

#SPJ2

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

[tex]x^2 +4x +3[/tex]

Can be represented as the product of the following,

[tex](x+3)(x+1)[/tex]

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

[tex](x+3)(x+1)\\[/tex]

Distribute,

[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]

Simplify,

[tex]x^2 +x +3x + 3\\[/tex]

[tex]x^2 +4x +3[/tex]

Answer:

c hope it nhelps

Step-by-step explanation:it takes away time

Answer:

the person above me is correct!

Step-by-step explanation:

Answer: 162

Step-by-step explanation:

6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.

4

 27

x  6

--------

162

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx