In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1382. They start with $125. At the
beginning of each month they plan to deposit 20% more than the previous month Will they have enough money for their trip? If not, how much more do they need?

The distribution of the animals in the coral reef is an illustration of probability

The distribution of the animals is given as:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

The animal with the highest frequency is the most likely animal.

Hence, the Yellow fish is the most likely animal.

From the question, we have:

Blue fish = 3

Eels = 3

Both animals have the same frequency.

This means that Riley has equal chance of seeing a blue fish and an eel.

The animal with fins are:

Blue fish = 3

Yellow fish = 7

So, the probability is:

[tex]p = \frac{3 + 7}{3 + 7 + 1 + 3}[/tex]

[tex]p = \frac{10}{14}[/tex]

Simplify

[tex]p = \frac 57[/tex]

Hence, the probability of seeing an animal with fins is 5/7

The animal with the least frequency is:

Sea turtle = 1

So, the likelihood is:

[tex]p = \frac 1{14}[/tex]

Hence, the sea turtle has the least likelihood of 1/14

The Blue fish and the Eels have the same frequency of 3

This means that animals have equal likelihood

We have:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

Express as probability

Blue fish = 3/14

Yellow fish = 7/14

Sea turtle = 1/14

Eels = 3/14

Express the fractions as decimals

Blue fish = 0.214

Yellow fish = 0.500

Sea turtle = 0.071

Eels = 0.214

So, their likelihoods are:

Blue fish = Equally likely

Yellow fish = Certainly likely

Sea turtle = Unlikely

Eels = Equally likely

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Answer: yes

Step-by-step explanation: they have to be past 0 to start

Answer:

y = -7x -7

explanation:

y - y₁ = m ( x - x₁ )

y - -7 = -7 ( x - 0 )

y + 7 = -7x

y = -7x -7

Or using the formula:

y = mx + b

y = -7x - 7

using this formula, if only passes y-axis, we can find equation without doing any work.

Models are equations, tables and graphs that are used to represent functions.

The question is incomplete as the models are not given, so I will give a general explanation

For two models to be the same, the equations of the model must be the equivalent.

Take for instance, the following models are the same

y = 2x + 4 and y = x + x + 4 and y = 2x + 2 + 2

And the following models are different

y = 2x + 4 and y = 2^x + 4

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Answer:

Step-by-step explanation:

Circumference = πd

                        = 3.14 * 16

                        = 50.24

Answer:

[tex] - 7[/tex]

Step-by-step explanation:

-6 x + 3 = 45

collect like terms and then make x the subject of formula

=> -6x = 45 -3

note: when turning three over to the other side the plus sign change to minus

In order to make x the subject of formula we divide 45 - 3 by -6

=> [tex] \frac{45 - 3}{ - 6}\\ [/tex]

subtract 45 from 3 which gives us 42

now divide 42 by -6

=> -7

Answer:

slope = -3/5

y intercept = 4/5

Step-by-step explanation:

First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.

slope = -3/5

y intercept = 4/5

Hope this helps!

Answer: The answer is 24.6

Answer:

The system of equations:

Nancy:   Y=$425+$25x

Sam :   Y=$705-$15x

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spent by Sam each week = $15

To find:

Y=$425+$25xx

Y=$425+$25x

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

The equation for Nancy: Y=$425+$25x

2) Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

The equation for Sam:

Y=$705-$15 x x

Step-by-step explanation:

Answer:

8.25*10^24

Step-by-step explanation:

1000*.25= 250 (this converts the .25 into milliliters)

250(3.3 * 10^22)

= 8.25*10^24

The required molecules of water in the glass are given as 8.25 × 10²⁴.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
A glass of water contains 0.25 liter of water.
1 liter = 1000 mililiters
So,

0.25 liter = 250 mililiter

Now,
1 milliliter of water contains 3.3 x 10²² water molecules,
Number of molecules in 0.25 liters of water,
= 250 × 3.3 x 10²²
= 8.25 × 10²⁴

Thus, the required molecules of water in the glass are given as 8.25 × 10²⁴.

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Answer:

i think it is (-1,0) and (-6,0)

Step-by-step explanation:

i hope, this helps, if not i'm sorry

Answer:

[tex]\huge\boxed{\bf\:x = 1}[/tex]

Step-by-step explanation:

[tex]x ^ { 3 } +6x-7=0[/tex]

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

[tex](+/-)7, (+/-)1[/tex]

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

[tex]x = 1[/tex]

This means that 1 factor of the above equation will be:

[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]

We now have a quadratic equation with us. By using the biquadratic formula:  -b ± √b² - 4ac / 2a, where,

So,

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]

Here, we can see that,

[tex]x\in \emptyset[/tex]

Then, by listing out the solutions that we found, the value of x will be:

[tex]\boxed{\bf\:x = 1}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

Sure.

See above

I believe this is correct, hope it helps.

Sorry for messy work

-3.5 is equal to 3 1/2 so thats why we place the point there

Answer:

D

Step-by-step explanation:

ED/AB = 5/5 = 1

The scale factor from ΔABC to Δ DEF is, 1

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The figure of ΔABC to Δ DEF is shown in image.

Now, We can formulate for the scale factor,

⇒ AB / DE

⇒ 5 / 5

⇒ 1

Thus, The scale factor from ΔABC to Δ DEF is, 1

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Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.957 = 95.7% probability that he sells less than 3 cars.

The formula is:

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

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

The parameters are:

In this problem:

The probability he sells less than 3 cars is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

In which:

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

[tex]P(X = 0) = C_{16,0}.(0.05)^{0}.(0.95)^{16} = 0.4401[/tex]

[tex]P(X = 1) = C_{16,1}.(0.05)^{1}.(0.95)^{15} = 0.3706[/tex]

[tex]P(X = 2) = C_{16,2}.(0.05)^{2}.(0.95)^{14} = 0.1463[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4401 + 0.3706 + 0.1463 = 0.957.

0.957 = 95.7% probability that he sells less than 3 cars.

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question

he probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 12 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answer:

Step-by-step explanation:

Answer:

1: True

2: False? (unsure)

3: True

4: False

5: True

6: True

7: True

8: True

9: True

10. True

Answer:

1.

a) isosceles right triangle

b) scalene triangle

c) isosceles triangle

d) equilateral triangle

2. 53 degrees

3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.

Step-by-step explanation:

Answer:

6 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2 bh

applying that to this problem, we get

1/2 x 3 x 4

after multiplying then all together, you get

A=6 m^2

Answer:

(6,0)

Step-by-step explanation:

Desmos Graphing Calculator

Answer:

5 miles

Step-by-step explanation:

If Tara lives 3/4 miles from the park and Nikhil lives 6 2/3 as far, then you must multiply them together: 3/4*6 2/3 = 3/4*20/3

Solve: 3/4*20/3=5

Therefore, Nikhil lives 5 miles from the park.

The miles that Nikhil lives from the park given the miles that Tara lives from the park is 5 miles.

A fraction is a number that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Multiply 3/4 by 6 2/3

3/4 x 6 2/3

3/4 x 20/3 = 5 miles

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Answer:

Step-by-step explanation:

In Rhombus opposite angles are equal.

6x + 8 = 86

6x = 86 - 8   {Subtract 8 from both sides}

6x = 78

x = 78/6  {Divide both sides by 6}

x = 13

In rhombus adjacent angles are supplementary.

7y + 3  + 86 = 180

7y + 89 = 180

      7y = 180 - 89   {Subtract 89 form both sides}

      7y = 91

        y = 91/7  {Divide both sides by 7}

y = 13

5z + 4 + 86  = 180

     5z  + 90 = 180

            5z    = 180 - 90  {Subtract 90 from both sides}

             5z   = 90

                z = 90/5    {divide both sides by 5}

z = 18

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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Answer:

Step-by-step explanation:

140 degrees

Answer:

There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.

Answer:

I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.

Step-by-step explanation: