When Shaquana commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 22 minutes and a standard deviation of 3 minutes. Using the empirical rule, determine the interval that represents the middle 95% of her commute times.

Answer:

0.14 as a percentage is 14%

Answer:

A = $5,984.74

A = P + I where

P (principal) = $5,000.00

I (interest) = $984.74

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.03/12)(12)(6)

A = 5,000.00(1 + 0.0025)(72)

A = $5,984.74

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.

9514 1404 393

Answer:

  38.63 m

Step-by-step explanation:

The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.

The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...

  d = √(4² +6²) = √52 ≈ 7.21 . . . meters

The straight line across the top is marked 9 meters.

The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...

  semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m

The straight bottom edge of the figure is 4+9 = 13 m.

Then the sum of lengths around the figure is ...

  7.21 m + 9 m + 9.42 m + 13 m = 38.63 m

The perimeter of the figure rounded to 2 decimal places is 38.63 meters.

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

Answer:

29.54

Step-by-step explanation:

29.54. is your answer to this problem

Answer:

w<32

Step-by-step explanation:

Answer:

Step-by-step explanation:

let  the missing side be x

a^2+b^2=c^2

6^2+12^2=x^2

36+144=x^2

180=x^2

[tex]\sqrt{180[/tex] =x

6[tex]\sqrt{5[/tex] =x

for angle C

take angle C as reference angle

using tan rule

tan C=opposite/adjacent

tan C=6/12

tan C=0.5

C=[tex]tan^{-1}[/tex]0.5

C=26.6 degree

Answer:

You did not finish the question. If you were to finish it, we might be able to help you.

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Conditional probability:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that [tex]N = 11[/tex].

7 red, which means that [tex]k = 7[/tex]

3 are chosen, which means that [tex]n = 3[/tex]

We want all red, so we find P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121[/tex]

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

[tex]P(A) = 0.2121*0.5 + 1*0.5 = 0.60605[/tex]

Probability of all red cards and from the first stack:

0.21 of 0.5. So

[tex]P(A \cap B) = 0.21*0.5 = 0.105[/tex]

What is the probability the first stack was selected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733[/tex]

0.1733 = 17.33% probability the first stack was selected.

Answer:

70

Step-by-step explanation:

Tangent Chord Angle = 1/2Intercepted Arc

? = 1/2(140)

? = 70

Answer: if its asking for that angle its 70 cause thats the only one that would fit

Step-by-step explanation:

Answer:

Jose's father weighs 70 kilograms.

Step-by-step explanation:

Given that Jose weighs 25 kg, while his father is 5 kg less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:

Jose = 25

Father = 3J - 5

3 x 25 - 5 = Father

75 - 5 = X

70 = X

Therefore, Jose's father weighs 70 kilograms.

Answer:

27

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4

Answer:

the answer is 4

Step-by-step explanation:

Answer:

I believe it is 761 is the cost the roofer will charge.

Step-by-step explanation:

First: Multiply 32 with 19.25 (standing for h), which equals to 616.

Second: Add 616 with 145, which adds up to 761.

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

[tex]\sin(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(B) = \frac{b}{c}[/tex]

(b) cos B

[tex]\cos(B)[/tex] is calculated as:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{a}{c}[/tex]

(c) tan B

[tex]\tan(B)[/tex] is calculated as:

[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(B) = \frac{b}{a}[/tex]

(d) tan A

[tex]\tan(A)[/tex] is calculated as:

[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(A) = \frac{a}{b}[/tex]

(e) cos A

[tex]\cos(A)[/tex] is calculated as:

[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(A) = \frac{b}{c}[/tex]

(f) sin A

[tex]\ain(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\sin(B) = \frac{a}{c}[/tex]

Answer:

Area=120 cm

Step-by-step explanation:

I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.

First figure: 12 times 5= 60 cm

Second figure=8 times 5=40cm

Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)

Answer:

the answer is 1.7 litres

to compare we must have all quantities in the same unit

1.7 × 1000 = 1700 ml

hence, 1700 ml is the largest capacity from the given options

Answer:

x = 43

Step-by-step explanation:

The two angles add to 93

x+ 50 = 93

Subtract 50 from each side

x+50-50 = 93-50

x = 43

Answer:

x = 43 °

Step-by-step explanation:

sum of two angles is equal to 93°,

50 ° + x = 93 °

Subtract 50° from each side

50° - 50° + x = 93° - 50°

x = 43°

Answer:

Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.

This means that [tex]p = 0.9[/tex]

4 compact-disk players are randomly selected

This means that [tex]n = 4[/tex]

Check the picture below.

Answer:

Depends. See below.

Step-by-step explanation:

Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.

-2/3

[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]

Answer:

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Step-by-step explanation:

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Answer:

it's b trust me i don't know how to explain my answer but it's b

Step-by-step explanation:

explanation