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Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768

Answer:

13.08

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 * 5^2

A =3.14 *25

A =78.5

The angle of the purple sector is 60 degrees

A full circle is 360 degrees

The fraction of the circle that is purple is 60/360 = 1/6

Multiply the area of the circle by 1/6

1/6* 78.5 =13.0833333

Rounding to the nearest hundredth

13.08

Answer:

given

radius [r]=5units

area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared

Answer:

Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.

Answer:

43 is the answer ok I hope you helped

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

9514 1404 393

Answer:

  associative property of multiplication

Step-by-step explanation:

We assume your equation is ...

  9(3x) = (9·3)x

The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.

_____

Additional comment

It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).

Answer:

retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Trust me.

Answer: 3.1

Step-by-step explanation:

Answer:

i agree!!

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Negative four to the second power is equal to -4 x -4 which is -16

Answer:

C

Step-by-step explanation:

For a relationship to be proportional, x/y needs to be the same for all rows.

5/8 is not 12/15

5/3 is not 15/11

3/8 is not 5/12.

The table C checks out with a ratio of 3:5

Answer:

44

Step-by-step explanation:

9514 1404 393

Answer:

  97,264.64 yd²

Step-by-step explanation:

The circumference of a sphere is the circumference of a circle with the same radius:

  C = 2πr

The area of a sphere is given by the formula ...

  A = 4πr²

In terms of circumference, that is ...

  A = 4π(C/(2π))² = C²/π

Using the given values, the area of the sphere is ...

  A = (552.64 yd)²/3.14 = 97,264.64 yd²

Answer:

Step-by-step explanation:

The circumference of a sphere is the circumference of the circle with the same radius:

C= 2πr

The area of a sphere is given by the formula...

A= 4πr²

In terms of circumference, that is...

A= 4π(C/(2π))²=C²/π

Using the given values, the area of the sphere is ...

A= (552.64 yd)²/3.14= 97, 264.64 yd²

Answer:

154.521

Step-by-step explanation:

Have a good day!

Answer:

154.521

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

If you flip a coin twice, sometimes you get tails twice in a row. That is because each time you flip the coin, the odds remain 1/2; the two flips are independent of each other. The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

Same side interior angles are supplementary

Answer:

5.8

Step-by-step explanation:

The interest rate, to the nearest tenth of a percent, will be 0.05828.

If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:

[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The total is:

[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]

The amount is found as;

[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]

[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]

Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.

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Answer:

To find the surface area of a pyramid

Step-by-step explanation:

The equation is used to find the surface area of a pyramid.

Answer:

8 : 1

Step-by-step explanation:

24 volts : 3 volts

= 24 : 3

= 24 / 3

= 8

= 8 / 1

= 8 : 1

The ratio of 24 volts to 3 volts 8 : 1.

We have given that,

The ratio of 24 volts to 3 volts

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

24 volts : 3 volts

= 24 : 3

= 24 / 3

= 8

= 8 / 1

= 8 : 1

Therefore, The ratio of 24 volts to 3 volts 8 : 1.

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Step-by-step explanation:

1. 51-x-5

= 46-x Answer

2. 21-24

= -3 Answer

Answer:

32

Step-by-step explanation:

(3x-4)+(3x-8)=180

6x-12=180

6x=192

X=32

Applying the concept of supplementary angles the value of x we get is 32.

Use the concept of supplementary angles defined as:

The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.

The given angles are:

Exterior angle = 3x - 4

Interior angle = 3x-8

From the figure, we can see that,

These angles are supplementary angles.

And since we know two angles are supplementary angles then,

Their sum = 180 degrees.

Therefore,

3x - 4 + 3x-8 = 180

6x - 12 = 180

Add 12 both sides are,

6x = 192

Divide by 6 on both sides,

x = 32

Hence,

The value of x is 32.

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Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: y = x^2 - 3

y-intercept = -3

9514 1404 393

Answer:

  g = 12

Step-by-step explanation:

You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:

  (g -12)² = 0

The only solution is the one that makes the squared term equal to zero:

  g -12 = 0

  g = 12

_____

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

Here, we have a=x, b=-12.

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

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

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

Daniela is 11 years old.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.

Let us assume Daniela's age as x.

According to the given information, Santiago is 3 years older than Daniela, so Santiago's age would be x + 3.

The sum of their ages is 25.

We will set up the equation:

x + (x + 3) = 25.

Simplifying the equation, we get:

2x + 3 = 25.

2x = 22.

x = 22/2

x = 11.

Translated question:

Santiago is 3 years older than his cousin Daniela and the sum of their ages is 25. How old is Daniela?

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