1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksju [112]
3 years ago
5

Endent Practice

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

Part A: The unit that would be best to describes the situations is to the mile

Part B: 4 significant figures

Part C: 1,450 miles

Part D: He is not correct

Step-by-step explanation:

Part A: By unit conversion, we have;

1 mile = 1,760 yards

Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles

Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;

1 mile = 5,280 feet

Therefore;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles \ngtr 1,450 miles which is the distance from Jackson to Ottawa

You might be interested in
What is the estimate of 5.26 ➕ 9.75?
Lelechka [254]
5.26 + 9.75
= 15.01
= 15
7 0
3 years ago
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air
Stells [14]

Answer:

a) 0.0853

b) 0.0000

Step-by-step explanation:

Parameters given stated that;

H₀ : <em>p = </em>0.6

H₁ : <em>p  = </em>0.6, this explains the acceptance region as;

p° ≤ \frac{315}{500}=0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)

a).

the probability of type I error if exactly 60% is calculated as :

∝ = P (Reject H₀ | H₀ is true)

   = P (p°>0.63 | p=0.6)

where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

   

    = P  [\frac{p°-p}{\sqrt{\frac{p(1-p)}{n}}} >\frac{0.63-p}{\sqrt{\frac{p(1-p)}{n}}} |p=0.6]

    = P  [\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]

    = P   [Z>\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500} } } ]

    = P   [Z > 1.37]

    = 1 - P   [Z ≤ 1.37]

    = 1 - Ф (1.37)

    = 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)

    ≅ 0.0853

b)

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

  = P [p° ≤ 0.63 | p = 0.75]

where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

  = P [\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]

  = P [\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P [Z ≤ -6.20]

  = Ф (-6.20)

  ≅ 0.0000 (from Cumulative Standard Normal Distribution Table).

6 0
3 years ago
Two sides of a right triangle measure 5 inches and 6 inches, and the third side measures√61 inches.The length of the third side
lesantik [10]
The length of the third side is about 7.81 inches and the perimeter of the triangle is about 18.81 inches
6 0
3 years ago
Read 2 more answers
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
Lorico [155]

Answer:

1. 1340

2. Variance = 47200, standard deviation = 217.25556

Step-by-step explanation:

1-

If X is the random variable that give the number of admissions, then the expected number of admissions<em> E[X]</em> for the fall semester is

1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =

1080*0.4+1380*0.1+1540*0.5 = 1340

2-

The <em>variance</em> is defined as

\sigma^2=E[X^2]-(E[X])^2}

We have

E[X^2]=(1080)^2*0.4+(1380)^2*0.1+(1540)^2*0.5=1842800

whereas

(E[X])^2=(1340)^2=1795600

So the variance equals

\sigma^2=1842800-1795600=47200

The <em>standard deviation is just the square root of the variance</em>, so, the standard deviation is

\sigma=\sqrt{47200}=217.25556

8 0
3 years ago
What equation represents the line that passes through the points (-3,7) and (9,-1)
Alex Ar [27]

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, 7) and (9, -1). Substitute:

m=\dfrac{-1-7}{9-(-3)}=\dfrac{-8}{12}=-\dfrac{2}{3}

y-7=-\dfrac{2}{3}(x-(-3))\\\\\boxed{y-7=-\dfrac{2}{3}(x+3)}      <em>point-slope form</em>

\boxed{y=-\dfrac{2}{3}x+5}        <em>slope-intercept form</em>

\boxed{2x+3y=15}       <em>standard form</em>

6 0
3 years ago
Other questions:
  • If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. How long is a side of the original square?
    6·2 answers
  • Graph a line with a slope of -2/5 That contains the point (-3,5)
    8·1 answer
  • Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
    10·1 answer
  • Two of the golf scores at the local tournament were unreadable, but the mean score was 85 and the lowest score was 75. if the re
    10·1 answer
  • A deck of cards contains 52 different cards. A card is drawn at random. What
    15·1 answer
  • If t x 3/15 = 3/4, what is t.​ Please help! it's due tomorrow for a grade!
    5·1 answer
  • Is the following shape a rectangle
    12·1 answer
  • Naomi has earned $50 mowing lawns the past two days. She worked 3 1/2
    5·1 answer
  • Don has an album that holds 600 coins. Each page of the album holds 6 coins. If 68​% of the album is​ empty, how many pages are
    11·1 answer
  • All of my brainly awnsers just got deleted by hannahjaxon for no reason
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!