what is the surface ara of a sphere with a diameter of 16cm

32pi cm^2
256 pi cm^2
1,024 pi cm^2
126 pi cm^2

Answer:

41°

Step-by-step explanation:

Looking at the attached diagram

A central angle of a circle is always congruent to its intercepted arc.

Therefore, m arc BC = m∠BZC

Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.

This gives us the following results:

= m∠BZC = 82°

= m arc BC = m∠BZC

= m arc BC = 82°

= m∠BAC = 1/2 × 82°

= m∠BAC = 41°

Note that:

∠DCA ≅ ∠BAC because alternate interior angles are congruent.

So m∠DCA = m∠BAC.

Hence, m∠DCA = 41°.

Answer:

(0,9.8) and (10,1.2)

Step-by-step explanation:

it makes the best line

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Option B is the correct answer.

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.

We can plot the given points and visually inspect the scatter plot to find the line of best fit.

 10|         o

   |             o

 9 |          o

   |          o

 8 |       o

   |       o

 7 |     o

   |    o

 6 |  o

   |o

 5 |o

   |            o

 4 |       o        o

   |                o

 3 |         o

   |             o

 2 |           o

   |                o

 1 |                o

   |____________________________

     0  1  2  3  4  5  6  7  8  9 10

From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.

One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).

This line represents the overall trend in the data and passes close to many of the given points.

Therefore,

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Learn more about scatterplots here:

https://brainly.com/question/7219025

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Answer:

Term

Expression

Step-by-step explanation:

8y is a term in the expression

7x + 8y

There are two terms in the expression 7x + 8y

First is 7x

Second is 8y

7 and 8 are coefficient of x and y respectively

7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.

Unlike an equation that has the Equal to sign(=)

There are three basic types of expression:

1. Arithmetic expression

2. Character expression

3. Logical or relational expression

Answer:

p+q = 12

Step-by-step explanation:

Let's draw the diagram obtained from the given information. Find attached the diagram.

When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.

See attachment for diagram.

Ratio of area ABYX to XYCD = p:q

p+q = ?

Area of trapezoid = ½(base 1 + base 2)height

For trapezoid ABYX:

Base 1 = AB = 12, Base 2 = XY

Using Pythagoras theorem to find height of ∆AOB

AO² = AP² + PO²

PO² = (10²-6²) = (100-36)

PO = √64 = 8

height of trapezoid ABYX =h = ½ PO

= 8÷2 = 4

base of triangles in trapezoid ABYX:

base² =  5² -4² = (25-16)

base = √9 = 3

XY = 12+3+3 = 18

Area of trapezoid ABYX = ½(AB + XY)height

= ½(12+18)×4

= ½(120) = 60

Area of trapezoid XYDC = ½(XY + DC)height

Height of both trapezoid = ½ PO = 4

base of triangles in trapezoid XYCD = 3

DC = 3+18+3 = 24

= ½(18+24)×4

= ½(168) = 84

Ratio of both areas

p:q = 60: 84

p:q = 5:7

p+q = 5+7

p+q = 12

Answer:

D

Step-by-step explanation:

not positive but i think it would be D

Option C is the distributions are positively skewed.

Since, A distribution that is positively skewed would have the following highlights:

More points on the left, if represented on a dot plot

Tall bars on the left, if represented on a histogram

Whisker on the left, if represented on a box plot

The above means that none of the distributions are positively skewed.

This is so because:

A is negatively skewed because the whisker is at the right

B and C are symmetrical because there are tall bars at the middle

D is positively skewed because the whisker is at the left.

Hence, Option D is the distributions are positively skewed.

Read more about skewness at:

brainly.com/question/24309209

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Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149

Step-by-step explanation:

ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0

from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up

the highest number is 756149 because from 50 onwards it will round to 756200 instead.

so you can choose any number from 756050-756149

Answer:

the lines are perpendicular

Step-by-step explanation:

the first step to this question will be to find the slope intercept form of each of these lines. to do this we will first:

find the slope-

(-3,-1) and (1,-9)

y2-y1 / x2- x1

-9 - (-1)  / 1 - (-3)  (negative - negative = positive)

-8 / 4

therefore the slope is:

-2

we know that slope intercept form is y=mx+b

so.. y= -2x +______

I left the last part blank, because we only have the first half of the equation, now we will substitute the value of x and y into the equation from one of the coordinate points given above.

(-9) = -2(1) + _____

now we can simplify:

-9 = -2

this equation (-9 = -2) is not true, therefore we need to determine what we have to do to -2 to make it equal to -9.

-9 = -2 - 7 is true

therefore the answer is :

y= -2x-7

therefore the slope intercept form is y= -2x - 7

now that you know how to find the slope intercept form, you can find the other slope intercept form, and i'll provide the answer:

the slope intercept form you should find is

y= [tex]\frac{1}{2}[/tex]x + [tex]\frac{7}{2}[/tex]

now when we plot both of these lines we can see that:

the lines are perpendicular, meaning the lines pass through each other.

Answer:

the two lines are perpendicular to one another

Step-by-step explanation:

Find the slopes of the two lines and then compare them.

If the slopes are the same, the lines are parallel.

If the slopes are negative reciprocals, the lines are perpendicular.

If neither of these conditions hold, then the lines are neither parallel nor perpendicular.

(−3,−1) and (1,−9):  As we go from the first point to the second, x (the "run") increases by 4 and y (the "rise") decreases by 8.  Thus, the slope of the line through (−3,−1) and (1,−9) is m = rise / run = -8/4, or m = -2.

(1,4) and (5,6):  As we go from the first to the second, x increeases by 4 and y increases by 2.  Thus, the slope of the line through (1,4) and (5,6) is

m = rise / run = 2/4 = 1/2.

Because 1/2 is the negative reciprocal of -2, we know that the two lines are perpendicular to one another.

Answer:

6:3

Step-by-step explanation:

the ratio of Quinn's throws to Sam's throws would be 6:3

Answer:

2:1

Ratio of Quinn's free throws to Sam's free throws

P(B given A) = P(A and B) / P(A)

P(B given A) = 0.10 / 0.20

P(B given A) = 0.50

Answer:

4/25

Step-by-step explanation:

Answer:

180 degress

Step-by-step explanation:

triangles always add up to 180

Answer:

[tex](x+10)^2-186[/tex]

Step-by-step explanation:

Answer:

The correct option is;

Two-tailed test

Step-by-step explanation:

From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14

Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;

H₀: Null hypothesis (no difference, or no change)

H₁: μ ≠ μ₀ which is hypothesizing  difference which is known as a two-tailed test

The confidence level is then selected and the test statistic is calculated

Answer:

parallel = 4/3

perpendicular =-3/4

Step-by-step explanation:

Solve for y

-4x+3y=11

Add 4x to each side

3y = 4x+11

Divide by 3

y = 4/3 x +11/3

This is in the form y = mx+b where m is the slope

m =4/3

The parallel line has the same slope

parallel slope is 4/3

The perpendicular line has a negative reciprocal slope

m = -(1 /4/3) = - 3/4

Answer:

[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 11 ( add 4x to both sides )

3y = 4x + 11 ( divide all terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

slope of parallel line = [tex]\frac{4}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]

Answer:

260% of 420=1092

166 2/3%of 60= 100

Answer:

1/6

Step-by-step explanation:

There are 6 possible outcomes when you roll a die

1,2,3,4,5,6

P(5) = number of outcomes with a 5/ total outcomes

        =1/6

Answer:

1st Graph

Step-by-step explanation:

Parent Graph of Exponentials: f(x) = a(b)^x + d

Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.

Alternatively, we could graph the equation and choose the best fit:

Answer:

Step-by-step explanation:

 f(x) = a(b)^x + d

Answer:

x and y

Step-by-step explanation:

x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.

If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.

Answer:

X = 1, 2.

Step-by-step explanation:

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.

Hope this helps!

Answer: 257/16

Step-by-step explanation:

You are given the algebraic expression: m^4+ 1/m^4

if m− 1/m = 3

Solve for m by cross multiplying

m - 1 = 3m

Collect the likes terms

3m - m = -1

2m = -1

m = -1/2

Substitutes m into the algebraic expression above.

(- 1/2)^4 + 1/(- 1/2)^4

Open the bracket

1/16 + 1/(1/16)

1/6 + 16

16(1/16) or 257/16

Answer:

The answer is x + 4y = 7

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Slope of the line between the points

(-1, 2) and (3, 1) is

Slope = 1-2/ 3+1 = - 1/4

Equation of the line using point

(-1, 2) is

y - 2 = -1/4(x + 1)

4y - 8 = - x - 1

x + 4y = 7

Hope this helps you

Answer:

F. 2 1/9

Step-by-step explanation:

Step 1: Substitute q

[tex]r = 3(\frac{1}{3^n} )+2[/tex]

When you plug in n = 1, 2, 3:

n(1) = 3

n(2) = 2.11111

n(3) = 2.3333

So our answer is F.

Answer:

0.4% = 0.40 or 0.4

Answer:

2nd quadrant.

Step-by-step explanation:

The given function is

[tex]h(x)=-6+\dfrac{2}{3}x[/tex]

We need to find the quadrant from which the graph of function is not passing.

At x=0,

[tex]h(0)=-6+\dfrac{2}{3}(0)=-6[/tex]

So, y-intercept is (0,-6).

At h(x)=0,

[tex]0=-6+\dfrac{2}{3}x[/tex]

[tex]6=\dfrac{2}{3}x[/tex]

[tex]18=2x[/tex]

[tex]9=x[/tex]

So, x-intercept is (9,0).

It means the graph intersect negative side of y-axis and positive side of x-axis. When we join these two points, we get the graph is not passing through the 2nd quadrant.

Therefore, the required quadrant is 2nd quadrant.

Answer:

Quarderant 2

Step-by-step explanation:

Brainliest, please?

Answer:

Here is the full proof:

AB || DE  Given

∠B = ∠D  Alternate interior angles theorem

∠A = ∠E   ↑

C is the midpoint of BD Given

BC = CD Definition of midpoint

ΔCBA ≅ ΔBDE    SAA

AC = CE   CPCTC

C is the midpoint of AE  Converse of definition of midpoint

Answer:

21.94

Step-by-step explanation:

Convert the percentage to a decimal.

23.7% = 0.237

Divide the number the decimal.

5.2/0.237 = 21.94

The answer is 21.94.

Answer:

4

Step-by-step explanation:

An integer is a number that is not a decimal or a fraction.

The integers that lie between -1.25 and 2.6 are -1, 0, 1, and 2. They are all numbers with no decimal or fraction.

So, there would be 4 numbers that lie between -1.25 and 2.6.

Answer:

1

Step-by-step explanation:

Answer:

double: 1%

year6%

6 year: 36%

Step-by-step explanation:

Answer:

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Step-by-step explanation:

We want to calculate the area under the curve within 3 standard deviations from the mean.

If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).

[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]

The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.