Given ü=<4,-1 > and =< 3,2 >

Which of these is an example of discrete data?

Nadya [2.5K]

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7 0

3 years ago

Shen borrowed $8000 at a rate of 12%, compounded semiannually. Assuming he makes no payments, how much will he owe after 7 years

Alexandra [31]

Answer:

$18,087.23

Step-by-step explanation:

The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:

FV=PV*(1+r/2)^n*2

FV is the worth of the loan in 7 years which is unknown

PV is the actual amount of loan which is $8,000

r is the rate of interest of 12%

n is the number of years of the loan which is 7 years

the 2 is to show that interest is computed twice a year

FV=8000*(1+12%/2)^7*2

FV=8000*(1+6%)^14

FV=8000*1.06^14=$18,087.23

4 0

2 years ago

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

2 years ago

A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.

tino4ka555 [31]

The probability that the cube never lands on 3 is (D) 23.3%.

<h3>What is probability?</h3>

A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

To find the probability that the cube never lands on 3:

Given -

Number cube toss = 8

Required

Probability of not landing on 3.

First, we need to get the probability of landing on 3 in a single toss.

For a number cube,

n(3) = 1 and n(total) = 6

So, the probability is P(3) = 1/6

First, we need to get the probability of not landing on 3 in a single toss.

Opposite probability = 1.

So, P(3) = P(3') = 1.

Make P(3') the subject of the formula.

P(3') = 1 - P(3)
P(3') = 1 - 1/6
P(3') = 5/6

In 8 toss, the required probability is (P(3'))⁸

This gives:

P = (5/6)⁸
P = 390625/1679616
P = 0.23256803936

Approximate to 1 decimal place, P = 23.3%.

Therefore, the probability that the cube never lands on 3 is (D) 23.3%.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?

A. 6.0%

B. 10.4%

C. 16.7%

D. 23.3%

5 0

11 months ago

Help ASAP ! And explain too

Sedbober [7]

Answer:

4 inches

Step-by-step explanation:

it is given that

1/2" on the blueprint -----> 12 feet actual length

we can rearrange to say :

12 feet actual length ---> 1/2" on paper

or

1 foot actual length = (1/2)" ÷ 12 = 1/24" on paper

hence

96 feet actual length = 1/24 x 96 = 4 inches (answer)

3 0

3 years ago

Read 2 more answers