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Vesna [10]
2 years ago
12

Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per

pound) Onions $0.79 Tomatoes $0.93 Cheese $1.85 Ham $3.15 Turkey $3.40 Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy's order? $93.75 $110.25 $204.23 $293.66
Mathematics
1 answer:
shepuryov [24]2 years ago
4 0

Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

=  8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

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A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80
julia-pushkina [17]

Answer:

Step-by-step explanation:

Since the amounts of charges are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the amounts of charges.

µ = mean amount

σ = standard deviation

From the information given,

µ = $500

σ = $80

a) the probability that customers charges more than $380 per month is expressed as

P(x > 380) = 1 - P(x ≤ 380)

For x = 380,

z = (380 - 500)/80 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

P(x > 380) = 1 - 0.067 = 0.933

The percentage of customers that charges more than $380 per month is

0.933 × 100 = 93.3%

b) the probability that customers charges less than $340 per month is expressed as

P(x < 340)

For x = 340,

z = (340 - 500)/80 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

The percentage of customers that charges less than $340 per month is

0.023 × 100 = 2.3%

c) the probability that customers charges between $644 and $700 per month is expressed as

P(644 ≤ x ≤ 700)

For x = 644,

z = (644 - 500)/80 = 1.8

Looking at the normal distribution table, the probability corresponding to the z score is 0.96

For x = 700,

z = (700 - 500)/80 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.994

P(644 ≤ x ≤ 700) = 0.994 - 0.96 = 0.034

The percentage of customers that charges between $644 and $700 per month is

0.034 × 100 = 3.4%

3 0
2 years ago
Describe in words the region of double-struck R3 represented by the inequality. 0 ≤ z ≤ 7 The inequality 0 ≤ z ≤ 7 represents al
qwelly [4]

Answer:

All points between z = 0 and z = 7 along the z-azis in R3 x-y-z plane

Step-by-step explanation:

The inequality 1 \le z  \le7 represents all sets of points on the z-axis in the R3 plane that lies bewteen z = 0 and z= 7.

It is represents a line segment joining two point z= 0 and z=7 along z- axis in the R3 plane, while x=0 and y=0 on the x-y plane.

4 0
2 years ago
Sarah runs at a rate of 8 miles per hour what is her speed at feet per second
LekaFEV [45]

Answer:

i worked some of it out

Step-by-step explanation:

1 mile = 5,280ft

1 hour = 8 miles

30 min = 4 miles

15min = 2 miles

7.5 (7min and 30 sec) = 1 mile

3.75(225 sec) =1/2 mile = 2,640ft

0.25(quarter of a mile) = 1,320ft

i just completely lost myself but if this helps then great! sorry if i wasted your time

4 0
2 years ago
∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The c
Ivenika [448]

Answer:

A'(-2, 1), B'(1, 0), C'(-1, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).

If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)

From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)

If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)

If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)

7 0
2 years ago
A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.
Alisiya [41]

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

 (2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

7 0
2 years ago
Read 2 more answers
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