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Alekssandra [29.7K]
2 years ago
4

Lucy takes 20 minutes to cover a mile on foot. Identify the graph that shows the relationship between time taken and distance co

vered and the parent function that best describes it. Then use the graph to estimate the time it would take Lucy to cover 3.5 miles.
quadratic; 30 minutes
linear; 140 minutes
linear; 70 minutes
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0

Answer:

  linear; 70 minutes

Step-by-step explanation:

No graphs are attached to your question here, so we cannot identify the graph for you. It will be one with time on the vertical axis and distance on the horizontal axis. The time scale will show it takes Lucy 20 more minutes for each additional mile she walks. The shape of the graph will be a straight line through the origin.

  (20 min/mi) × (3.5 mi) = (20×3.5) min = 70 min

It will take Lucy 70 minutes to cover 3.5 miles at her 20 min/mile pace.

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Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y a
pickupchik [31]

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90°  (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

4 0
2 years ago
a marathon is 26.2 miles. If Sally ran a marathon in 3 hours 3 minutes what was her approximate pace in minutes?
Tom [10]

Let's turn 3 hours and 3 minutes into minutes.

One hour=60×3=180+3=183

So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.

26.2÷183≈ 0.143

So, Sally ran 0.143 miles every minute.

7 0
2 years ago
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The answer is D
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6 0
2 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
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52. Rahzel wants to determine how much gasoline they had every month => He used 78 1/3 gallons of gas monthly => his wife used 41 3/8 gallons of gas last month How much is to total of gas that they both used. First let’s convert this fraction to decimal => 78 1/3 = 78.33 => 41 3/8 = 41.38 Now, let’s start adding. => 78.33 + 41.38 = 119.71 this is already rounded to the nearest hundredths.
7 0
2 years ago
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