Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year. Write a formula that models the amount of money in Ash's savings account and find the amount of
money in his account after 4 years.

26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of 676,000,000 license plates.

(1) 26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of

26 x 26 x 10 x 10 x 10 x 10 = 676,000,000 license plates.

(2) The number of possible license plates where the digits must be different is the number of permutations of 10 items taken 4 at a time, or 10P4 = 5040. Multiplying by 26 x 26 gives a total of

5040 x 26 x 26 = 3,636,160 possible license plates.

(3) To find the number of license plates that begin with "A" and don't have a 7, we first find the number of license plates that start with "A" and don't have any restriction on the last 4 digits. This is

26 x 10 x 10 x 10 x 10 = 676,000

Then, we find the number of license plates that have a 7, which is

9 x 26 x 10 x 10 = 23,760

Subtracting this from the total number of license plates that start with "A" gives us

676,000 - 23,760 = 652,240 possible license plates.

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Answer:

2.5

Step-by-step explanation:

Among the following statements, the one that best describes a probability distribution is: A list of the outcomes of a random experiment and the probability of each outcome.

A probability distribution is a list of the possible outcomes of a random experiment and the probability of each outcome. It provides a complete description of the possible outcomes and their associated probabilities for an experiment. Probability distributions are used to calculate the likelihood of specific events occurring and to determine the expected value of a random variable.

It lists all possible outcomes of a random experiment and assigns a probability to each outcome. The probabilities assigned to each outcome must add up to 1.

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\(d = \sqrt{ - 2 - 0) {}^{2} + ( - 2 - 5) {}^{2} } \)

\(d = \sqrt{( - 2) {}^{2} + ( - 7) {}^{2} } \)

\(d = \sqrt{4 + 49} \)

\(d = \sqrt{53} = 7.28 = 7.3\)

Answer:

x = 24

y = 26

Step-by-step explanation:

The triangle are similar because,

Each corresponding angles in the triangles are equal (AAA).

From the diagram,

5/10 = 12/x

Solving for x

x = (10×12)/5

x = 24

Also applying pythagoras theorem to get the hypotenuse of the larger side in the biggerr triangle.

y² = √(10²+24²)

a = √(100+576)

a = √(676)

a = 26.

A relation in math is a set of ordered pairs containing two elements, one from each set. The first element is from the domain and the second from the range.

Relations can be expressed as a set of ordered pairs, as a graph, or as a mapping diagram. A function is a special type of relation in which, for every element in the domain, there is one and only one element in the range. This is expressed mathematically by stating that for every x in the domain, there is one and only one y in the range such that y = f(x). To calculate a relation, the domain and range values are paired with each other, and the ordered pairs are written down. For example, if the domain is {2,3,4,5} and the range is {7,8,9,10}, then the relation would be {(2,7),(3,8),(4,9),(5,10)}.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

$86

Step-by-step explanation:

You multiply 21.50 times 4

Answer:

6

Step-by-step explanation:

im assume 6 because you just need to multiply them check tho

Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.

The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.

Another important part of the ANOVA is the splitting of the independent variables into two or more groups.

The assumptions for the ANOVA test are the same as those for general parametric tests.

Advantages of ANOVA:

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(a) The probability that a person drinks between 10 and 15 gallons of milk a year is 0.558

(b) The maximum gallons of milk a person can consume and still be in the bottom 10% of all milk drinkers is 8.3 gallons

(c) The probability that a person consumes less than 11 gallons is 0.12

(a) To find the probability that a person drinks between 10 and 15 gallons of milk a year, we need to calculate the area under the normal curve between the values of 10 and 15.

This probability turns out to be approximately 0.558.

(b) Using the standard normal distribution table, we can find the z-score that corresponds to the 10th percentile, which is approximately -1.28.

Substituting these values, we get x = 14 - 1.28 × 3.71, which is approximately 8.3 gallons.

(c) To find the probability that a person consumes less than 11 gallons of milk per year, we can use the normal cumulative distribution function with a mean of 14 and a standard deviation of 3.71. This probability turns out to be approximately 0.12.

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Answer:

4^30

Step-by-step explanation:

multiply the exponent

Answer:

175

Step-by-step explanation:

500*.35

Answer:

your answer will be 25 .....ok

Answer:

x = 25

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 15

3 = 15k ( divide both sides by 15 )

\(\frac{3}{15}\) = k, that is k = \(\frac{1}{5}\)

y = \(\frac{1}{5}\) x ← equation of variation

When y = 5 , then

5 = \(\frac{1}{5}\)x ( multiply both sides by 5 to clear the fraction )

25 = x

Answer:

a

Step-by-step explanation:

Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Answer:

3/4

Step-by-step explanation:

you would get 6/8 but need to simplfiy to 3/4 since they both can divide by 2

Answer:

slope = \(\frac{3}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (4, 4) ← 2 points on the line

m = \(\frac{4-(-2)}{4-(-4)}\) = \(\frac{4+2}{4+4}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)

Answer:

the answer is 108 the last choice D

Answer:

The answer to the next one is B. y= -3sin(x)

Answer:

$7.20

Step-by-step explanation:

20% of 36 is 7.2

Answer:

29839150

Step-by-step explanation:

$1= 124.85

$23,9000= 124.85*239000

=RS.29839150

Answer:

-3m+6=9

Step-by-step explanation:

-3m=3

Divide by -3

m=-1

Answer:

5

Step-by-step explanation:

expand: -3m - -6 = -9

-9 + -6 = -15

-3m = -15

-15 / -3 = 5

m = 5

Answer: x=7     x=10

Step-by-step explanation:

\(x^2+70=17x\\x^2+70-17x=17x-17x\\x^2-17x+70=0\\x^2-7x-10x+70=0\\x(x-7)-10(x-7)=\\(x-7)(x-10)=0\\x-7=0\\x=7\\x-10=0\\x=10\)

Answer:

x = 7, x = 10

Step-by-step explanation:

x² + 70 = 17x ( subtract 17x from both sides )

x² - 17x + 70 = 0 ← in standard form

consider the factors of the constant term (+ 70) which sum to give the coefficient of the x- term (- 17)

the factors are - 10 and - 7 , since

- 10 × - 7 = + 70 and - 10 - 7 = - 17 , then

(x - 10)(x - 7) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x - 10 = 0 ⇒ x = 10

The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.

- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.

In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.

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Answer:

You are distributing (multiplying) the three to all the terms in the parentheses.

Start:

3(x-2) = 4x + 2

Next:

3x - 6 = 4x +2

After that simplify:

-8 = x

Hope this helps!

Answer:

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The property we use,

→ Distributive property.

The equation is,

→ 3(x - 2) = 4x + 2

Then the value of x will be,

→ 3(x - 2) = 4x + 2

→ 3(x) - 3(2) = 4x + 2

→ 3x - 6 = 4x + 2

→ 3x - 4x = 2 + 6

→ -x = 8

→ [ x = -8 ]

Hence, the value of x is -8.