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FromTheMoon [43]

3 years ago

13

The cheerleading team is doing a car wash for a fundraiser. They are able to wash an average of 1 1/2 cars each 1/6 hour. What i

s the unit rate for cars they can wash per hour?

1 answer:

Mrrafil [7]3 years ago

4 0

Answer:

9 cars/hour

Step-by-step explanation:

1.5 cars=1/6 hours

multiply both by 6

9 cars=1 hour

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Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability th

grandymaker [24]

Answer:

$P(-3\% < x < 3\%) = 0.901$

Step-by-step explanation:

Given

$p = 21\%$

$n = 498$

Required

$P(-3\% < x < 3\%)$

First, we calculate the z score

$z = \sqrt{p * (1 - p)/n}$

$z = \sqrt{21\% * (1 - 21\%)/498}$

$z = \sqrt{21\% * (79\%)/498}$

$z = \sqrt{0.1659/498}$

$z = \sqrt{0.000333}$

$z = 0.0182$

So:

$P(-3\% < x < 3\%) = P(-3\%/0.0182 < z$

$P(-3\% < x < 3\%) = P(1.648 < z$

From z probability, we have:

$P(-3\% < x < 3\%) = 0.901$

6 0

3 years ago

Ed earns a $100 commission on each computer he sells plus a base salary of $50,000. His total income last year was $75,000. Whic

atroni [7]

50,000 + 100x = 75,000

He sold 250 Computers last year

5 0

3 years ago

3. Marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image and between

BlackZzzverrR [31]

Answer:

Table

________________________________

Scale factor 3.

(-1-3,2+3) --> A(-4,5)

(1+3,2+3) --> B(4,5)

(1+3,-2-3) --> C(4,-5)

(-1-3,-2-3) --> D(-4,-5)

(-2-3,3+3) --> E(-5,6)

(2+3,3+3) --> F(5,6)

(2+3,-3-3) --> G(5,-6)

(-2-3,-3-3) --> H(-5,-6)

___________________________________

Scale factor 4

(-1-4,2+4) --> A(-5,6)

(1+4,2+4) --> B(5,6)

(1+4,-2-4) --> C(5,-6)

(-1-4,-2-4) --> D(-5,-6)

(-2-4,3+4) --> E(-6,7)

(2+4,3+4) --> F(6,7)

(2+4,-3-4) --> G(6,-7)

(-2-4,-3-4) --> H(-6,-7)

______________________________________________________

Second Image.

Scale Factor 2

Length = 6

Width = 8

Perimeter = 2(6+8)= 2(14) = 28

Area = 6 times 8 = 48.

Scale Factor 3

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 4

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

_____________________________________________

Scale Factor 2

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 3

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

Scale Factor 4

Length = 12

Width = 14

Perimeter = 2(12+14)= 2(26) = 52

Area = 12 times 14 = 168.

Step-by-step explanation:

7 0

3 years ago

Given EAB and DCB are two right triangles. The figurebhas BED=BDE. point b is the midpoint of segment AC. prove EAB= DCB.

Ronch [10]

Answer:

EAB= DCB

Step-by-step explanation:

Since EAB and DCB are two right triangles then the figure ACDE is rectangular. since the total sum of rectangular 360° there is no options except to be rectangular. If the figure ACDE is rectangular then the two sides AE & CD are equal. Since Point b is midway point the two sides are also equal.

3 0

4 years ago

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

nikitadnepr [17]

Answer:

$F(t)=Ts+(T0-Ts)^{e-0.2t$

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

$F(t)=Ts+(T0-Ts)^{e-kt$

Where

F( t ) is the temperature of the object at a given time t

T s is the surrounding temperature

T 0 is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

$F(t)=Ts+(T0-Ts)^{e-0.2t$

7 0

3 years ago