Answer:
449/100
Step-by-step explanation:
1.67 + 2.82 = 4.49
4.49 = 4(0.01) + 49(0.01) = 449(0.01)
Multiplying 449 by 0.01 is the same as dividing 449 by 100
4.49 as fraction = 449/100
-Chetan
A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
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A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
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Is 5.12 times 10n =512
Answer:
it is D
Step-by-step explanation:
I have to show you, but if I do it don't on the paper
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
Prepare an accounting equation for the following business transaction
1. Purchased supplies on account, 4,000
2. Purchased furniture and fixtures for cash, 3,000
3. Paid account in no. 1.
4. Paid advance advertisement for promoting the business 1,000
5. Paid the note 2,000
Answer:
you draw a T. form and then you can start to in debit and credit
Please help this is due tomorrow and I have no idea what to do
Step-by-step explanation:
#1Yes
If you connect the points plotted, they will form a line and will pass through the origin.
This is indication of the proportional relationship.
The equation of circumference is:
C = 2πrSince 2π is a constant value, the equation above represents a proportional relationship.
#2AC is the dimeter#3DB is the radius#4Circumference is the perimeter of the circle.Simplify 7x + [x - (5 + x)].
O 7x - 5
O8X-5
9x - 5
Answer:
7x-5
Step-by-step explanation:
What is 9÷8/9 in simplest form?
Answer:
10 1/8 or 81/8
Step-by-step explanation:
Which of these functions would you use to represent the length, width or heigh of a box whose dime
O Quadratic
O 4th-degree polynomial
O Cubic
O Linear
Answer:
Cubic
Step-by-step explanation:
He has widht, heigh and length.
The cubic function is used to represent the length, width or height of a box. The correct option is C.
What is a cubic function?The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.
A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.
The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.
There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.
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What is the value of m
35.6 355⅝5555555555555555555545455555555
passez une bonne journée points faciles 2+2=?
The quotient of a number p and 3 is 24
Answer:
p= 8
Step-by-step explanation:
because 8 x 3 is 24
hope this helps!❄︎
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =
Answer:
C (Hypotenuse) = 9.9
Step-by-step explanation:
Given the two sides of a triangle, where a = 7, and b = 7:
We can use the Pythagorean Theorem where it states: c² = a² + b².
Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.
c² = a² + b²
c² = 7² + 7²
c² = 49 + 49
c² = 98
[tex]\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}[/tex]
c = 9.89 or 9.9
Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.
Consider the figure.
(7x + 12) (8x + 3)º
What is the value of x?
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .
yooo, i need help with this...
135 rational or irrational
Answer:
Rational
Step-by-step explanation:
I hope this helps!
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
1/2x - 2=3 number line
Answer:
x = 10
Step-by-step explanation:
I don't really get what you mean, so I just solved for x.
1/2x-2=3
We add 2 on both sides.
1/2x=5
Times both sides by 2 to cancel out the 1/2
x=10.
Hope this helped. :)
(sorry if I didn't do what you wanted me to.)
Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
is 6 x 8 4 x 12 equal or not equal
Answer:
both is 48
Step-by-step explanation:
HELP PLS
Answer:
the anser is the first one
i really need help last question PLEASE
Answer:
c
Step-by-step explanation:
its in the middle of all the data
simplify 5/13 ( 75 - 49)
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
For homework, Tina is asked to write down the opposite value for each number listed. Which comparison did Tina write incorrectly?
Answer:
x
Step-by-step explanation:
It still would be a negative.
The comparison that Tina wrote incorrectly is X. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The table is given below.
Comparison Number Opposite value
W -3 3
X -(-9) 9
Y 0 0
Z 4 - 4
The number -(-9) is also written as 9 and the opposite number of 9 is negative 9. Then the comparison that Tina wrote incorrectly is X. Then the correct option is B.
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help please, i’m struggling on this
Answer:
help please, i’m struggling on this
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answer: 252 i think i tried and i think its right
Which of the following best describes a ratio?
Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option
A. A comparison of two numbers
A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8
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The table shows the results for spinning the spinner 80 times. What is the relative frequency for the event "spin a 3"?
Answer:
0.267
Step-by-step explanation:
the answer is 0.267
The table shows the results for spinning the spinner 80 times. The relative frequency for the event "spin a 3" is 0.32.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).
In the problem given,
The table shows the results for spinning the spinner 80 times.
Number of Outcomes of "Spin a 3"=16
Total Number of Trials =50
Therefore,
The relative frequency for the event "spin a 3" = 16/50
= 0.32
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