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From the given question we find that the direct quote from the U.S. perspective would be €1.00 = $1.25.

The given exchange rate states that €0.80 is equivalent to $1.00. To determine the direct quote from the U.S. perspective, we need to express the value of the euro in terms of the U.S. dollar.

Since €1.00 would be more valuable than €0.80, it would also be more valuable than $1.00. Therefore, the direct quote would have a higher value for the euro compared to the U.S. dollar.

To calculate the value, we can use the ratio of €0.80 = $1.00. Dividing both sides of the equation by 0.80, we get €1.00 = $1.25. This means that 1 euro is equivalent to 1.25 U.S. dollars. Hence, the correct direct quote from the U.S. perspective is €1.00 = $1.25.

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Answer:

y=43x-210

Step-by-step explanation:

Distribute 43

then add five on each side

you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43 through the parenthesis.

y-5=43x-215

Move the constant to the right and change its sign.

y=43x-215+5

Calculate sum.

y=43x-210

Hope i helped :)

Answer:

$526.3 is the monthly payment

Step-by-step explanation:

We use the compound interest formula to calculate the total amount payable on the loan.

Mathematically;

A = P(1 + r/n)^nt

Where A is the amount to pay

P is amount borrowed = 22,000

r is interest rate = 7.25/100 = 0.0725

t is years = 5 years

n is the number of times we compound lee year = 12 times since it’s monthly

Substituting these values, we have

A = 22,000(1 + 0.0725/12)^(12)(5)

A = 22,000(1 + 0.006041666666667)^60

A = $31,578

Monthly payment is total amount/ number of months

There are sixty months in 5 years

So monthly payment is 31578/60 = $526.3

To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.

To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).

In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.

While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.

For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.

Number of trees per acre: 1 tree per acre

Total yield: 1185 peaches per acre

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Answer:

The number of boxes of candy sold are:

40 small boxes and

12 large boxes of candy.

Step-by-step explanation:

Let the number of small boxes sold = x

Let the number of large boxes sold = y

we are given the following information:

x + y = 52 - - - - - -(1)   (Chara sold 52 boxes of candy)

3.5(y) + 1.75(x) = 112 - - - - - - (2)   (Chara sold $112 worth of candy)

From the two equations above, x and y can be solved as follows:

x + y = 52   - - - - - -(1)

x = 52 - y    - - - - - - (3)

putting the value if x in equation (3) to replace x in equation (2);

3.5(y) + 1.75(x) = 112 - - - - - - (2)

3.5(y) + 1.75(52 - y) = 112

3.5y + 91 - 1.75y = 112

(3.5y - 1.75y) + 91 = 112

1.75y = 112 - 91 = 21

y = 21 ÷ 1.75 = 12

y = 12

Now, let us put the value of y into equation (3)

x = 52 - y    - - - - - - (3)

x = 52 - 12 = 40

Therefore,

40 small boxes and 12 large boxes of candy were sold.

Answer: 3.5

Step-by-step explanation:

y=(10)-6.5

Answer:

21 girls

Step-by-step explanation:

boys : girls = 5 : 3

5+3=8

56/8 = 7

(multiply both ratios by 7):

35 boys : 21 girls

Answer:

21 girls

Step-by-step explanation:

35 boys

21 girls

Answer:

The answer is c. 81.76%

Answer:

37

Step-by-step explanation:

4b+10-b = 3b + 10 = 3(9) + 10 = 27 + 10 = 37

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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Answer:

1)

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2)

Let x be the number of miles.

Then, we have inequality: 8x+2<=10

Solve the inequality: 8x+2<=10

Subtract 2 from both the sides:

8x+2-2<=10-2

Simplify

8x<=8

:

Divide by 8 both sides we get

x<=1;  

as shown in figure 1.

4)  

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y=x^6-7

vertex is (0,-7)

x=y^6-7

y=6√x+7

inverse for vertex is (-7,0)

graph it and x values are greater than -7

The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.

As given in the question,

Side length of the given rhombus 's' = 51 units

Length of the shorter diagonal of given rhombus 'a' = 48 units

Let us consider length of the longer diagonal of the given rhombus be 'b'

As per the property of the rhombus:

Diagonals of the rhombus bisects each other at right angle

Triangle formed by side length bisecting diagonals is right angled triangle.

Using Pythagoras theorem we have,

(Side length)² = (a/2)² + (b/2)²

Substitute the values

⇒ (51)² = (48/2)² + (b/2)²

⇒2601 = 576 + (b/2)²

⇒(b/2)² = 2601 -576

⇒(b/2)² = 2025

⇒b/2 = √2025

⇒ b/2 =45

⇒ b = 90units

Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.

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Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6

The volume of the composite solid in terms of pi and using 3.14 as pi are 1125π cubic inches and 3532.5 cubic inches respectively

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes

The volume of the composite cylinder is expressed as shown below;

V = πr²h

where

r is the radius

h is the height

According to the given diagram;

V = Vl - Vs

V = π(10)²*15 -  π(5)²*15

V = 1500π - 375π

V = 1125π cubic inches

If the value of π is 3.14, hence;

V = 1125(3.14) cubic inches

V = 3532.5 cubic inches

The volume of the composite solid in terms of pi and using 3.14 as pi are 1125π cubic inches and 3532.5 cubic inches respectively

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Answer:

3x or 3*x

Step-by-step explanation:

Answer:

E the base equation shifts to the right to five unit from the midpoint

Answer:

Hey there!

We have that 4/5, or 80% of the 60 students passed the exam.

Thus, we have:

0.8(60)=48

48 students passed the exam.

Let me know if this helps :)

Answer:

2,-12

Step-by-step explanation:

The given equation is ,

\(\implies |x + 5 | = -7 \)

We know that modulus only gives positive value , Therefore on squaring both sides we have ,

\(\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} \)

The fractional equivalent of the repeating decimal n = 0.1515... is 5/33, with two repeating digits.

A fractional equivalent is a fraction that shares the same equivalent value with a decimal.

For instance, the equivalent fraction of 0.1515 is 303/2000.  But for a repeating decimal like 0.1515..., the equivalent fraction is 5/33.

When numbers or values are said to be equivalent, it means that they are equal.

By their nature, repeating decimals continue endlessly.

Let x = 0.1515... equation 1

100x = 15.1515... equation 2

Subtract equation 1 from equation 2:

100x = 15.1515...

    x =   0.1515...

99x = 15

x = 15/99

x = 5/33

Thus, n = 0.1515... as a repeating decimal or 5/33 as a fraction.

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Answer:

It's the second option, 0.13.

Step-by-step explanation:

Step 1 : Find how many marbles there are in the bag all together.

4 + 4 + 12 = 20 marbles all together

Step 2 : Find what the probability of choosing a red marble is first.

4 red marbles out of 20 marbles =

\(P_{1} = \frac{4}{20}\)

Step 3 : Find the probability of choosing a yellow marble now.

Since one red marble was already taken, there are less marbles in total.

Instead of 20 marbles now there are only 19 marbles.

There are 12 yellow marbles out of 19 marbles =

\(P_{2} = \frac{12}{19}\)

Step 4 : To get the probability of both of these events happening, we multiply the 2 probabilities.

\(\frac{4}{20}\) · \(\frac{12}{19}\) = \(\frac{12}{95}\)

Step 5 : Express your answer as a decimal.

12 ÷ 95 = 0.12631578947

Rounded to the nearest hundreth that's 0.13.

It's the second option, 0.13.

Hope this helps, please mark brainliest if possible. Have a nice day. :)

The probability of choosing a red and then a yellow marble is 0.13.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.

That means that there are a total of 4+4+12=20 marbles.

Now to find the probability that she pulled out a red marble first and a yellow marble second.

The probability of choosing a red marble out of 20 marbles is:

P = 4/ 20

The probability of choosing a yellow marble on the second draw is:

P = 12/19

Hence, the probability of choosing a red and then a yellow marble is:

P = 4/ 20 x  12/19

P = 0.13

Hence, the probability of choosing a red and then a yellow marble is 0.13.

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A standard normal table contains the probability of a standard normal random variable (z-score) falling within a certain range of standard deviations from the mean.

A standard normal table is a table of probabilities for a standard normal random variable (z-score), which is a normal distribution with a mean of 0 and a standard deviation of 1. The table shows the probability of a z-score falling within a certain range of standard deviations from the mean.

The table typically includes values for z-scores ranging from -3.4 to 3.4 with increments of 0.1. It also includes the corresponding cumulative probability, which is the total probability of z-scores falling below a certain value.

Standard normal tables are commonly used in statistics and probability to calculate the probability of certain values occurring in a normal distribution.

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Answer: 1

Step-by-step explanation:

9-(4 2)

9-8=1

The value of the given expression (w - 4x) is 1.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression can be solved as:-

E = w - 4x

Put w = 9 and x = 2 in the expression above.

E = 9 - ( 4 x 2 )

E = 9 - 8

w = 1

Hence, the value of the given expression is 1.

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If the radius of ice cream scoop is 1.75 cm and radius of cone is 1.75cm , then

(a) the volume of the scoop is  22.437 cm³ ;

(b) the height of cone to fit in ice cream is 7cm  .

The shape of the ice cream scoop is a whole sphere ,

the radius of ice cream scoop = 1.75cm ;

the radius of the cone is = 1.75cm ;

Part(a) ;

the volume of the ice cream scoop can be calculated by using the formula for Volume of sphere ;

So , the volume of ice cream scoop is = (4/3)×(3.14)×r³ ;

substituting the radius of sphere = 1.75 cm ;

we get ;

Volume =  (4/3)×(3.14)×(1.75)³

= 22.437

So , the Volume of the sphere is 22.437cm³ .

Part(b) ;

If the ice cream melts and fits in the cone ,

then the volume of sphere and cone should be equal ;

⇒ 22.437 = (1/3)×(3.14)×r²×h

substituting the radius of cone = 1.75cm ;

we get ;

22.437 = (1/3)×(3.14)×(1.75)²×h

22.437 = (1/3)×(3.14)×(1.75)²×h

22.437 = 3.205 × h

So , h = 22.437/3.205

h = 7.0006

h ≈ 7cm .

So , the height of the cone is 7cm .

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Based on this estimation, there would have been approximately 20 murder victims in Nepal in 1970.

Option (a) is correct.

Based on the given data that there were 1,000,000 people in Nepal in 1970 and the number of murder victims per 100,000 people was 2, we can estimate the total number of murder victims in Nepal for that year.

To calculate this estimate, we can use the following formula:

(Number of murder victims per 100,000) * (Total population / 100,000)

Plugging in the values, we get:

(2 * 1,000,000) / 100,000 = 20

Therefore, based on this estimation, there would have been approximately 20 murder victims in Nepal in 1970.

However, Actual murder rates can vary based on various factors such as socioeconomic conditions, crime rates, law enforcement, and other contextual factors. To obtain a more accurate number, specific historical data on murder rates in Nepal in 1970 would be required.

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Complete question is:

Suppose there were 1,000,000 people in Nepal in 1970. How many murder victims would there have been in 1970 in Nepal?

a) 20

b) 200

c) 2000

d) 2

Answer:

yuppp, you're correct