The ratio of the lengths of __ and __ is 2 : 1.

To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Answer:

A

Step-by-step explanation:

16 / a = x (+ r)

16 is the dividend

a is the divisor

x is the quotient

(r is the remainder, if the division is an integer division)

the smaller the divisor, the larger the quotient, of course. and vice versa.

remember, a division is the calculation how often the divisor fits into the dividend.

therefore, the smaller the divisor, the more often it fits into the dividend.

the quotient must be greater than 4. so, 4 itself is not a valid quotient for this problem.

but let's start with it :

16 / 4 = 4.

so, a = 4 (B) is not a valid solution.

to make the quotient larger (than 4), a must be smaller than 4.

the only valid solution is

A a = 2

except for C all other answer options are larger than 4 making the quotient smaller than 4.

and C is negative, which would make the quotient negative and therefore smaller than 4.

so, A is the only remaining valid answer.

16/2 = 8

perfect. the quotient (8) is larger than 4.

The depth of the swimming pool s 8 feet

From the question, we have the following parameters that can be used in our computation:

This means that

Depth = Volume/(length * width)

substitute the known values in the above equation, so, we have the following representation

Depth = 2000/(25 * 10)

Evaluate

Depth = 8

Hence, the depth is 8 feet

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1. 9 + k - 19

2. 6.7n

3. 37t - 9.85

5. 15 + \(\frac{60}{w}\)

6. 7 - 3v

7. \(5m - \frac{t}{7}\)

8. \(\frac{p}{14} + \frac{q}{3}\)

9. 8 - 9r

Answer:

3

Step-by-step explanation:

Answer:

it doesn't matter if you do division or multiplication first, but they must be done after parentheses and exponents and before addition and subtraction.

Step-by-step explanation:

trust me

∠c = 100° (Since ∠c and ∠100° are opposite angles)

∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)

∠a = 30° (Since ∠a and ∠30° vertically opposite angles)

What are opposite angles?

Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.

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Answer:

the and swer is 3x+9

hoped that helped

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

Answer:

\(\frac{x+a}{b} = y\)

Step-by-step explanation:

"yb" means multiply so to solve you divide both sides by "b" to get y = x+a/b

Hope that helps and have a great day!

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

Answer:

\(f=6\)

Step-by-step explanation:

Well we know that for a line the degrees is equal to 180 degrees to find that interior angle you will have to do
\(180-152\\ =28\)

And we know that the interior of a triangle is equal to 180 degrees

\(180= 120 +5f+2+28\\180=5f+150\\30=5f\\f=6\)

Answer:

it would be 0.48

Step-by-step explanation:

yeah you divide

\({ \large{ \sf{ \dfrac{12}{25} = 0.48 }}}\)

There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.

Given that,

There are A to E equations.

We have to find that which equation is having 3 as the greatest common factor.

To check the the greatest common factor we have to multiply by 3.

A. b+3+6c

Divide by 3.

b/3+3/3+6c/3

b/3+1+2c

The equation does not have 3 as the greatest common factor.

B. 27n+66p

Divide by 3

27n/3+66p/3

9n+22p

The equation have 3 as the greatest common factor.

C.38-9j+6k

Divide by 3

38/3-9j/3+6k/3

38/3-3j+2k

The equation does not have 3 as the greatest common factor.

D.12x+75y+21

Divide by 3

12x/3+75y/3+21/3

4x+25y+7

The equation have 3 as the greatest common factor.

E. -32-24z

Divide by 3

-32/3-24z/3

-32/3-8z

The equation does not have 3 as the greatest common factor.

Therefore, The equation B and D area the equations have 3 as the greatest common factor.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

= 6cm

The choices that describe an exact number are option b, option c, option d, and option e because they show a definite countable quantity with 100% accuracy.

The following options describe an exact number:

b. The house has four bedrooms.

c. There is one gram of salt in this beaker.

d. You drank one liter of water.

e. The little dog weighs 10 kilograms.

These numbers are exact because they are specific measurements that are not subject to uncertainty. They are countable and defined. While "you ran two miles" or "you drank one liter of water" could be approximate measurements.

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The distribution of Y is a Beta distribution

Assume X is a continuous random variable and has a pdf f (x) = 3x2, 0 < x < 1. Let Y = X3.

a. The pdf of Y can be found by substituting X3 into f (x) to get:

fY(y) = 3y2/3, 0 < y < 1

b. The distribution of Y is a Beta distribution, since it is a continuous random variable with a pdf f (x) = 3x2, 0 < x < 1.

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Answer:

answer D

Step-by-step explanation:

hello,

\(f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2\)

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

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The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.

Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.

Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.

We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.

On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.

By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.

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Answer:

option 3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

Answer:

C

Step-by-step explanation:

m<2:

180 - 60 - 48 = 72

Vertical angle thm:

m<1 = 48

m<3:

180 - 62 - 48 = 70

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

There are 4 possible seating arrangements in the family car for Mr. and Mrs. Lopez and their two children.

Hence option A is correct.

There are two people who could sit in the driver's seat (Mr. or Mrs. Lopez), and once one of them is in the driver's seat,

There is only one person left to sit in the other front seat.

So there are 2 x 1 = 2 ways to choose who sits in the front seats.

Now, we have to figure out how many ways we can seat the remaining two people in the back seat.

There are two people left, so there are 2 x 1 = 2 ways to choose who sits on the left side of the back seat.

Once we've chosen who sits on the left side,

There is only one person left to sit on the right side.

So there are 2 x 1 = 2 ways to seat the two remaining people in the back seat.

Therefore,

We need to combine all of the possibilities.

There are 2 ways to choose who sits in the front seats, and 2 ways to seat the remaining two people in the back seat.

So the total number of seating arrangements is 2 x 2 = 4.

Therefore, there are 4 possible seating arrangements in the family car for Mr. and Mrs. Lopez and their two children.

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Answer: You and your friends spent $8.35 for tips.

Step-by-step explanation:

From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1  .

The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.

The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.

Which proves that :  ∠1 and ∠4 are complimentary to the same angle that is ∠5.

Therefore, the ∠ 1 is congruent to angle 4 .

The given question is incomplete , the complete question is

From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?

(a) angle1

(b) angle2

(c) angle3

(d) angle5

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On a demand curve for most goods, as the price of the product decreases, the number of units the customer is willing to buy increases.

The relationship between price and quantity demanded is a fundamental concept in economics and is typically represented by a demand curve. According to the law of demand, as the price of a product decreases, the quantity demanded by customers tends to increase, and vice versa. This inverse relationship between price and quantity demanded can be attributed to various factors.

When the price of a product decreases, it becomes more affordable for consumers, leading to an increase in their willingness to purchase it. Lower prices may also create a perception of greater value or incentivize customers to buy more of the product. Conversely, as the price of a product increases, consumers may find it less affordable or less attractive, resulting in a decrease in their willingness to buy.

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We need to find the vertex of the quadratic equation -0.001x² + 8x - 7000. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.001 and b = 8. Plugging in the values, we get x = -8/(2*(-0.001)) = 4000. the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases. Option (b) is the correct answer. It's worth noting that we can also verify that this is a maximum by checking the sign of the leading coefficient (-0.001) - since it is negative, the quadratic opens downwards, meaning that the vertex represents a maximum point.
The manufacturer's profit is given by the equation P(x) = -0.001x^2 + 8x - 7000. To find the value of x that maximizes the profit, we need to determine the vertex of the parabola. The x-coordinate of the vertex is found using the formula x = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively.

In this case, a = -0.001 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2 * -0.001) = 4000

Therefore, the value of x that maximizes the manufacturer's profit is 4000 cases (option b).

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