Solve for v
11v + -15v = 8
V=

Answer:

$20,960

Step-by-step explanation:

Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars

This is the same as the one above me but in simpler terms

Step-by-step explanation:

I =8000 x 9 x 18 =12,960

Total amount = 12960 +8000= $20,960

Answer:

$12960

Step-by-step explanation:

A=P(1+rt)

8000(1 + (0.09 × 18)) = 20960

A = $20,960.

I = A - P

I=20960-8000

ANS=$12960

Answer:

The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease

Step-by-step explanation:

The number of persons in 10,000 people that have the disease = One

The percentage of people with the disease that test positive = 99.6%

The percentage of people who do not have the disease test positive = 0.05%

The probability that someone who tests positive has the genetic disease

[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]

P(disease) = 0.01% = 0.0001

P(positive disease)  = 99.6% = 0.996

P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999

P(positivenodisease) = 0.05% = 0.0005

Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.

Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5

Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive

The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%

Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease

We have;

[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

There are 1287 different teams of 5 students can be formed for competitions.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

The Math Olympiad Club consists of 13 students.

And, To form different teams of 5 students can be formed for competition.

Hence, We get;

Number of different teams of 5 students can be formed for competitions is,

⇒ ¹³ C ₅

⇒ 13! / 5! 8!

⇒ 1287

Thus, There are 1287 different teams of 5 students can be formed for competitions.

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Answer:

The circumference is 351.68 millimeters or 352 millimeters.

Step-by-step explanation:

The formula to find the circumference of circle is 2 * pi * radius.

Applying Circumference Formula: 2 * 3.14 * 56 = 351.68 millimeters.

If you need to round to the nearest hundredth, the answer would be

352 millimeters.

I think this is correct, please don't hate me if I'm wrong. ;D

Answer:

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.

This means that [tex]\mu = 97, \sigma = 11[/tex]

What proportion of the player's serves are expected to be between 119 mph and 130 mph?

This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.

X = 130

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{130 - 97}{11}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

X = 119

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{119 - 97}{11}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

0.9987 - 0.9772 = 0.0215

0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Answer:

the height is 20

Answer:

it depends how many weeks look below

Step-by-step explanation:

1 week=$100.00

2 weeks=$115.00

3 weeks=$130.00

4 weeks=$145.00

and so on

pretty much every week you go up, she earns 15 bucks

hope this helps! have a good day :)

Answer:

C. 12

Step-by-step explanation:

Find x by applying the leg rule.

The leg rule is given as:

Hypotenuse/leg = leg/part

Hypotenuse = 24

Leg = 17

Part = x

Plug in the value into the equation:

24/17 = 17/x

Cross multiply

24*x = 17*17

24x = 289

x = 289/24

x = 12.0416667 ≈ 12 (nearest tenth)

Answer:

[tex](a)\ (8,-3)[/tex]

Step-by-step explanation:

Given

[tex]y =7x +-59[/tex]

Required

Select all solutions

[tex](a)\ (8,-3)[/tex]

This implies that:

[tex]x = 8; y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 =7 * 8 + -59[/tex]

[tex]-3 =7 * 8 -59[/tex]

[tex]-3 =56 -59[/tex]

[tex]-3 =-3[/tex]

The above is a solution:

[tex](b)\ (9,8)[/tex]

This implies that:

[tex]x=9\ y =8[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]8 =7 * 9 + -59[/tex]

[tex]8 =7 * 9 -59[/tex]

[tex]8 =63 -59[/tex]

[tex]8 =4[/tex]

The above is not a solution because [tex]8 \ne 4[/tex]

[tex](c)\ (7,-3)[/tex]

This implies that:

[tex]x=7;\ y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 = 7 * 7 +-59[/tex]

[tex]-3 = 7 * 7 -59[/tex]

[tex]-3 = 49 -59[/tex]

[tex]-3 = -10[/tex]

The above is not a solution because [tex]-3\ne -10[/tex]

[tex](d)\ (10,5)[/tex]

This implies that:

[tex]x =10; y=5[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]5 = 7 * 10 + -59[/tex]

[tex]5 = 7 * 10 -59[/tex]

[tex]5 = 70 -59[/tex]

[tex]5 = 11[/tex]

The above is not a solution because [tex]5 \ne 11[/tex]

Answer:

4

Step-by-step explanation:

The scale factor from 3m to 9m is ×3

So do 12 / 3 = 4

Answer:

the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"

Step-by-step explanation:

I got it right one edge

From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The table shows the set of measures, we need to determine which condition can make triangles.

Condition 1:

AB = 15 cm, BC = 20 cm, ∠B = 40°

By SAS criteria, this condition can form a triangle.

Condition 2:

AB = 20 cm, BC = 15 cm, ∠C = 40°

Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.

Condition 3:

BC = 10 cm, BC = 5 cm, ∠A = 20°

Here side length of BC alone is given. With one side and one angle, no triangle can be formed.

Condition 4:

AC = 5 cm, BC = 10 cm, AB = 14 cm

Here three sides are given, so we can form a triangle.

Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

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Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

Answer:aa

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Q

A

W

W

Q

Q

S

S

W

Q

W

W

W

W

Step-by-step explanation:

A

Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb

Answer:

the probablity of rolling a number greater than 18 is 0

Step-by-step explanation:

mark me as brainliest

Answer:

The probability is 0 since there is no outcome that gives him a role greater than 18

Please mark as braniest if this is what you are looking for

Answer:

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donuts

Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to

If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).

E(X) = np

Given that,

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles would be

The probability would be

p = 3/6

p = 0.5

n = 10

Now,  the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

Hence, the number of sprinkles is 5

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Answer:

Step-by-step explanation:

Given function is,

[tex]y=(\frac{1}{2})^x[/tex]

In the given exponential function,

Base of the function = [tex]\frac{1}{2}[/tex]

By the property of an exponential function,

1). If the base is between 0 and 1, function will be a growth function.

2). If the base is greater than 1, function will be a decay function.

Therefore, given function is a decay function.

Input-output table,

x             -2                -1               0                1                 2

y      [tex](\frac{1}{2})^{-2}=4[/tex]     [tex](\frac{1}{2})^{-1}=2[/tex]     [tex](\frac{1}{2})^{0}=1[/tex]   [tex](\frac{1}{2})^1=\frac{1}{2}[/tex]      [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]

By plotting these points we can get the graph of the function.

Domain: (-∞, ∞)

Range: (0, ∞)

y-intercept: 1

Asymptote: y = 0

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

3

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

Answer:

tsc = 8*1*10 = $80

twc = 8*20*0.0667*12 = $128.06

tc = 80 + 128.06 = $208.06

Step-by-step explanation:

To find the total expected costs for an 8 hour period, first you must find the total service costs (tsc) and the total waiting costs (twc) as the two costs are what make up the total cost (tc).

Total service cost = (the number of channels)(cost per channel)

tsc = m*Cs

There is only 1 employee so the number of channels is 1.

The cost for this channel is $10 per hour, so 10 * 8 hours in the day.

Total waiting cost = (total time spent waiting by all arrivals)(cost of waiting)

twc = (number of arrivals)(average wait per arrival) Cw

The number arrivals is at the rate of 20 per hour.

The average wait per arrival was found as Wq previously.

                 Wq = 20/(30*(30-20)) = 0.0667 hours

The cost of waiting (Cw) is the $12 per hour multiplied by the 8 hour day.

Total Expected Cost for an 8 hour day is the sum of the total service cost plus the total waiting cost.

Answer:

about 27 degrees

Step-by-step explanation:

all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27

Answer:

The solution in the photo aobve I think that is true

Step-by-step explanation:

I hope that is useful for you :)

Answer:

Solution given:

<ABC+<QRS=180° (supplementary)

m<QRS=180°-41°=139° is your answer

Answer:

The probability of the given scenario occuring is about 0.0153.

Step-by-step explanation:

A standard deck contains 52 cards.

We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.

So, the probability that the first card is a spade is 13/52 or simply 1/4.

Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.

This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.

Now that we've drawn two cards without replacing them, the total number of cards left is 50.

And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.

Then the probability of the third card being hearts will be 12/50 or 6/25.

Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:

[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]

The probability of the given scenario occuring is about 0.0153.