express the confidence interval 0.255 plus or minus 0.045
​

for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong

Step-by-step explanation:

Considering a linear function for the radius, we have that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

[tex]r(t) = 0.03t + 48[/tex]

Thus, the volume of the sphere is given by:

[tex]V = \frac{4\pi r(t)^3}{3}[/tex]

[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]

After 300 seconds, the volume in cubic inches is given by:

[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

Answer:

Richard= 16 years old

Teo= 7 years old

Step-by-step explanation:

Let Richard's and Teo's age be R and T years old respectively.

[tex]\textcolor{steelblue}{\text{Form 2 equations based on given information:}}[/tex]

R +T= 23 -----(1)

R= 2T +2 -----(2)

[tex]\textcolor{steelblue}{\text{Solving by substitution:}}[/tex]

Substitute (2) into (1):

(2T +2) +T= 23

3T +2= 23

3T= 23 -2

3T= 21

T= 21 ÷3

T= 7

Substitute T= 7 into (2):

R= 2(7) +2

R= 14 +2

R= 16

Thus, Richard is 16 years old and Teo is 7 years old.

Answer:

6.0

Step-by-step explanation:

practice many times

Answer:

I'm so confused. I don't get the question. I know the options are:

A) 3,4, 5

B) 2, 10, 4

C) 2, 10, 3

D) 2, 15, 2

but I don't understand the question. Could you maybe be a bit more specific?

Answer:

pls send the image along with it. So it can be solved

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

Answer:

y is equal to 4 if that's what ur asking for

Answer:

16 if ur asking for y^2+4=20

Step-by-step explanation:

Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode.   HOPE THIS HELPED !!!

Answer:

m<BAC = 85°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

m<BAC = 170°/2

m<BAC = 85°

option C

hope it helps...!!!

Answer:

[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]

Step-by-step explanation:

Given:

circumference of circular dinner plate= 113.04 cm

To find:

Area of dinner plate = ?

Solution:

circumference = 113.04 cm.

we know that circumference = 2πr

[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]

We know that,

Area of circle = πr²

now substituting value of r in above formula,

[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]

[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]

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Expression: 5x + 12

Coefficients (The number directly next to the variable): 5

Variable (A letter that stands for a unknown number): x

Term (A single mathematical expression): 5x , 12

Constant (A term that has no attached variables): 12

Answer:

Step-by-step explanation:

Answer:

fourteen thousand six hundred and eighty nine

Step-by-step explanation:

1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)

Answer:

Fourteen-thousand and six-hundred eighty nine.

Answer:

theta= 1.085

Step-by-step explanation:

Answer:

16 triangles I am pretty sure.

Step-by-step explanation:

Answer:

44 mm

Step-by-step explanation:

radius = 22 mm

diameter = 2 * radius = 44 mm

Answer:

20 years time

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

The expected value of the game is the mean value of the game

The expected value of the game is $1

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]

Simplify

[tex]E(x) = \frac 74 - \frac34[/tex]

Evaluate

[tex]E(x) = 1[/tex]

Hence, the expected value of the game is $1

Read more about expected values at:

https://brainly.com/question/15858152

2. i) 1/2 × x

x/2

ii) 1/5 × x

x/5

iii)1-(1/2+1/5)

1- (5/10+2/10)

10/10- 7/10

3/10

3/10×x

3x/10

3. i)15× $p

15p

ii) cost for 4 bananas= $g

cost for 1 banana = $g÷4

cost for 16 bananas = $g/4 ×16

=$g×4

=4g

iii)

Cost for an orange= $p

Cost for 5 oranges = 5×$p

Cost for 1 banana= $g÷4

Cost for 2 bananas = 2× ($g÷4)

Add both of the expressions to get the total cost for 2 bananas and 5 oranges.

(2×$g÷4)+(5×$p)

($g×2/4)+(5×$p)

2/4 can be simplified as 1/2

g×1/2+5p

(g/2)+5p

Hope this helps!

Answer:

where is the figure

pls send it

Answer:

a = -2

b =3

c =2

Step-by-step explanation:

f(x) = 2 + 3x – 2x²

Rewrite in descending powers of x

-2x^2 +3x+2

The form is ax^2 +bx +c

a = -2

b =3

c =2

Answer: A (-7,-4)

Step-by-step explanation:

Took the same test

Answer:

17, 9, 18, 7, 19, 5, 20, X

Bold: 17, 18, 19, 20, .....

Other: 9, 7, 5, 3, 1 ....

I think the answer is 3

By finding the pattern, we conclude that the next number in the sequence is 3.

We have the sequence:

17, 9, 18, 7, 19, 5, 20, x.

Here the pattern is kinda simple.

First, we have a two-digit number which increases by one unit (on the odd positions). Then we have a single-digit number that decreases by two (on the even positions).

Then we will have:

x = 5 - 2 = 3

We conclude that the next number in the sequence is 3, we get:

17, 9, 18, 7, 19, 5, 20, 3.

If you want to learn more about sequences:

https://brainly.com/question/6561461

#SPJ2

Answer:

Step-by-step explanation:

4.5 ÷ 2

[tex]\frac{9}{2}[/tex]  ÷ 2

[tex]\frac{9}{2} * \frac{1}{2}[/tex]

9 / 4

Answer:

58.5 ft²

Step-by-step explanation:

The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.

Let's find the area of each!

Square

Area of square= side ×side

Area

= 3(3)

= 9 ft²

Triangle

Area of triangle= ½ ×base ×height

Base= 11 ft

Height= 3 ft

Area

= ½(11)(3)

= 16.5 ft²

Rectangle

Area of rectangle= length ×breadth

Area

= 3(11)

= 33 ft²

Area of figure

= 9 +16.5 +33

= [tex]\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }[/tex]