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Lady_Fox [76]
2 years ago
11

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit

for the scatter plot can be described by the equation y = 4/5x. If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36
39
56
24

Mathematics
1 answer:
creativ13 [48]2 years ago
6 0

Answer:

36\ \text{gallons per unit} will flow from the hose in 45 minutes.

Step-by-step explanation:

The line of best fit for the scatter plot can be described by the equation :

y=\dfrac{4}{5}x

y is amount of water in gallons

x is time

When x = 45 minutes, put x = 45 in above formula as :

y=\dfrac{4}{5}\times 45\\\\y=36\ \text{gallons per unit}

So, 36\ \text{gallons per unit} will flow from the hose in 45 minutes.

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Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not
tangare [24]

Answer:

a.

\bar p_1=0.05\\\bar p_2=0.067

b-Check illustration  below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let p_1  \& p_2 denote processes 1 & 2.

For p_1: T1=10,n1=200

For p_2:T2=20,n2=300

Therefore

\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067

b. To test for hypothesis:-

i.

H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05

ii.For a two sample Proportion test

Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\

iii. for \frac{\alpha}{2}=(-1.96,+1.96) (0.5 alpha IS 0.025),

reject H_o if|Z|>1.96

iv. Do not reject H_o. The noncomforting proportions are not significantly different as calculated below:

z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}

z=-0.78

c.(1-\alpha).100\% for the p1-p2 is given as:

(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt   \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645  \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0
2 years ago
Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?
Andrej [43]
.50 is the answer I think, hope this helps
7 0
1 year ago
Jenny is either a hippie or an artist. But Jenny is certainly not a hippie. So it can be concluded that Jenny is an artist is th
Natasha2012 [34]

Answer:

Deductive

Step-by-step explanation:

Jenny is an artist.

This is a deductive argument because the inductive use the particular to get the general and the deductive use the general to get the particular.

4 0
1 year ago
What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm?
ololo11 [35]

central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Step-by-step explanation:

We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.

arc length l== 7.2 cm

radius =r= 8 cm

central angle=Ф = ?

The formula used is:

l=r\theta

Putting values:

\theta=\frac{l}{r}\\ \theta=\frac{7.2}{8} \\\theta=0.9\,\,radians

So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Keywords: central angle of circle

Learn more about central angle of circle at

  • brainly.com/question/8618791
  • brainly.com/question/1952668
  • brainly.com/question/2860697

#learnwithBrainly

4 0
1 year ago
A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady r
sleet_krkn [62]

Economic Order Quantity

The economic order quantity, that is, the order quantity that minimizes the inventory cost is:

300 cases of tennis balls

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 tennis balls

This implies that the distributor will place about 33 orders in the coming year.  With each order, the quantity placed is 300 units.  This is the economic order quantity that will minimize its inventory cost for the year.

8 0
2 years ago
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