Determine whether the data shown is DISCRETE or CONTINUOUS.

Answer:

The interest rates implied by the combinations of present and future values are:

Present Value   Years   Future Value   Interest Rate

$310                     12             496                 3.994%

 138                      5              194                 7.049%

210                      8              210                  -0.000%

Step-by-step explanation:

a) Data and Calculations:

Present Value   Years   Future Value    Interest Rate

$310                     12             496                 3.994  %

 138                      5              194                  7.049%

210                      8              210                  -0.000%

b) You will need an annual return rate of 3.994% to reach the future value of $496.00.

FV (Future Value) $496.00

PV (Present Value) $310.00

N (Number of Periods) 12.000

I/Y (Interest Rate) 3.994%

PMT (Periodic Payment) $0.00

Starting Investment $310.00

Total Principal $310.00

Total Interest $186.00

c) You will need an annual return rate of 7.049% to reach the future value of $194.00.

FV (Future Value) $194.00

PV (Present Value) $138.00

N (Number of Periods) 5.000

I/Y (Interest Rate) 7.049%

PMT (Periodic Payment) $0.00

Starting Investment $138.00

Total Principal $138.00

Total Interest $56.00

d) You will need an annual return rate of -0.000% to reach the future value of $210.00.

FV (Future Value) $210.00

PV (Present Value) $210.00

N (Number of Periods) 8.000

I/Y (Interest Rate) -0.000%

PMT (Periodic Payment) $0.00

Starting Investment $210.00

Total Principal $210.00

Total Interest $-0.00

The first question shows how the value of x is bigger than the value of -3 while the second question shows how the value of x is smaller than the value of -3.

Hope this helps!

Answer: 1 student scored above an 85%.

Step-by-step explanation:

Let X = percentage score in test (normally distributed).

Given: Sample size = 15 , mean score : [tex]\mu[/tex]= 74.8% = 0.748 ,standard deviation :  [tex]\sigma=7.57[/tex]

Now, The probability that student scores above 85%:

[tex]P(X>85)=P(\dfrac{X-\mu}{\sigma}>\dfrac{85-74.8}{7.57})\\\\=P(Z>1.347)\\\\=1-P(Z<1.347)\\\\=1-0.9110= 0.089[/tex]

Probability that student scores above 85% = 0.089

Number of students scored above an 85% = 0.089 x 15 = 1.335 ≈ 1

hence, 1 student scored above an 85%.

Answer:

  40

Step-by-step explanation:

2³ + 4×8

8 + 32 = 40

PEMDAS:

  Handle the exponents, multiply, then add.

Answer:

Answer: 1. x = 10, y = 6 2. x = 12, y = 3 3. x = 5, y = 2.5 4. x = 1, y = 14 5. x = 0.6, y = 7 6. x = 11, y = 1

Step-by-step explanation:

Answer:

A bed is a type of object a person uses to sleep on. It usually contains blankets and pillows

Step-by-step explanation:

Can i have brainliest?

Answer:

[tex]\frac{3}{2} \textrm{ cups of flour}[/tex]

Step-by-step explanation:

the ratio of cups of flour per 1 cup of water:

[tex]\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}[/tex]

Answer: i won't tell you the answer but i will break it up for you so i can make easier for you

Step-by-step explanation: (-5x^2) (y^c) x (x^5) (2y^3)(5x^7)(y^6)(2)  Or for the ones for  numerator and denominator you can do this

(x^5)

____     =    ( -5x^7)

                   ______

                   (2)

(2y^3)

So for the one with numerator and denominator i got a stuck on a little but i tried doing this way if you like this way i can keep it like this if you dont i can change it

answer is 3.5903 or 3 kg 5903 gram

Answer:

68.6433≤x≤82.3568

Explanation

confidence interval formula is expressed as

CI = xbar ± z × S/√n

xbar is the mean

z is the z score at 90% = 1.645

s is the Standard deviation

N is the sample size = 5

xbar = 60+75+80+70+ 90/5

xbar = 375/5

xbar = 75

Get standard deviation

SD =√\sum(x-xbar)²/N

SD = √(60-75)²+(75-75)²+(80-75)²+(70-75)²+(90-75)²/5

SD = √15²+0²+5²+5²+15²/5

SD = √225+50+225/5

SD = √500/5

SD =√100

SD = 10

Substitute the derived values into the formula

CI = 75±1.645 × 10/√5

CI = 75 ± (1.645×4.4721)

CI = 75±7.3568

CI = (75-7.3568, 75+7.3568)

CI = (67.6433, 82.3568)

Hence the 90% confidence interval of the student is:

68.6433≤x≤82.3568

Answer:

72.1 degrees... 72 point 1 degress in case you cant see the ( . )

Step-by-step explanation:

62.4 minus -9.7= is 72.1

Answer:

12 ( or 24, depending on what the question is asking)

Step-by-step explanation:

The lowest common multiple of 12 and 2 is 12.

If Charlotte doesn't write anymore pages after writing the original twelve, and Barry writes 2 pages six times, they both write the same number of pages. So, the smallest number of pages is 12

However, if the question is asking for the smallest total number of pages, then the answer is 24 since they both write 12 pages each.

Answer:

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Step-by-step explanation:

We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:

[tex]x^{2}+y^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Horizontal distance of the goose from pond, measured in feet.

[tex]y[/tex] - Vertical distance of the goose from pond, measured in feet.

[tex]r[/tex] - Resultant distance of the goose from pond, measured in feet.

We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):

[tex]2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r[/tex]

[tex]x\cdot \dot x + y\cdot \dot y = r\cdot \dot r[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (Eq. 2)

Where:

[tex]\dot x[/tex] - Rate of change of horizontal distance, measured in feet per second.

[tex]\dot y[/tex] - Rate of change of vertical distance, measured in feet per second.

[tex]\dot r[/tex] - Rate of change of resulting distance, measured in feet per second.

If we know that [tex]x = 500\,ft[/tex], [tex]y = 300\,ft[/tex], [tex]\dot x = 50\,\frac{ft}{s}[/tex] and [tex]\dot y = 0\,\frac{ft}{s}[/tex], the rate at which the distance from the goose to the pond is increasing is:

[tex]\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}[/tex]

[tex]\dot r \approx 42.875\,\frac{ft}{s}[/tex]

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Answer:

do you have the graph?

Step-by-step explanation:

Answer:

yes it does

Step-by-step explanation:

the x numbers do not repeat

Yes, the given relation is function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}

As, we know that the function has one input with corresponding one output.

So, we can see from the ordered pair that no input value have repeated and have respective output.

Hence, the relation is function.

Learn more about function here:

https://brainly.com/question/23712366

#SPJ2

Answer:

I never learned that sorry ‍♀️

Answer:

y= 1/3x + 1.

Step-by-step explanation:

Answer:

[tex]1/3 (p+5) [/tex]

Step-by-step explanation:

[tex]1/3 p + 15 = \frac{1}{3} p + 15 = \\ \frac{p + 5}{3} = \frac{1}{3} ( p+ 5)[/tex]

♨Rage♨

Answer:

I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

Answer:

a) 0.30567

b) 0.69433

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

,a.Find the probability that the student earned between 80 and 90 points.

For 80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x = 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x = 90) = 0.88493

The probability that the student earned between 80 and 90 points.

P(x = 90) - P(x = 80)

= 0.88493 - 0.57926

= 0.30567

b.Find the probability that the student earned either less than 80 points or more than 90 points.

For less than80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x < 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x<90) = 0.88493

P(x>90) = 1 - P(x<90) = 0.11507

The probability that the student earned either less than 80 points or more than 90 points.

= 0.57926 + 0.11507

= 0.69433

Answer:

C.20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Answer:

4

Step-by-step explanation:

Answer:

the simplest form of 1/9 is: 1/9

Step-by-step explanation:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 1 and 9.

2. The numerator must be greater than the denominator, an improper fraction, so it can be converted to a mixed number. 1 is not greater than 9.

Answer: 0.254

Step-by-step explanation:

Given that:

Number of cars = number of trials (n) = 8

Number that will be stopped by a red light = Numbe rof successes (r) = 3

Probability of success :

Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds

P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3

1 - p = 1 - 3/10 = 7/10 = 0.7

Using the binomial probability relation:

p(exactly 3):

P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)

P(8, 3) = 8C3 * p^3 * (1-p)^5

P(8, 3) = 56 * 0.3^3 * 0.7^5

= 0.25412

= 0.254

Answer:

1-5

3-7

8-4

2-6

6-3

3-7

Step-by-step explanation:

Answer:

x=21

Step-by-step explanation:

(3+2x)/(x+9)=3/2

(x+9)(3+2x)=(3/2)(x+9)

3+2x=(3x+27)/2

2(3+2x)=3x+27

6+4x=3x+27

x=21

Answer:  (number 1 is the popular vote) (number 2 is whoever wins the state gets all the electoral votes) (number 3 is electors cast the official vote) (and finally at number 4 the first candidate to 270 wins the election)