The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
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Find the value of x. Your answer must be exact.
х
45° 18
Answer:
x = 63
Step-by-step explanation:
Simplifying
x + -18 = 45
Reorder the terms:
-18 + x = 45
Solving
-18 + x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + x = 45 + 18
Combine like terms: -18 + 18 = 0
0 + x = 45 + 18
x = 45 + 18
Combine like terms: 45 + 18 = 63
x = 63
Simplifying
x = 63
8x(x+1)=(4x-3)(2x+1)
Answer:
(3x+1)(2x+1)
Step-by-step explanation:
Answer:
[tex]x2[/tex]=[tex]\frac{5-\sqrt{113} }{8} , x2 = \frac{5+\sqrt{113} }{8}[/tex]
Step-by-step explanation:
hope this help and if you can give me brainliest
Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.
Answer:
three times the two foot wave wuold be the six foot wave
Step-by-step explanation:
because its right
Question 2
If MNP = 107, what is NMQ?
Answer:
73 degrees
Step-by-step explanation:
Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]
Step-by-step explanation:
For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.
For px² + 8x + 2 = 0,
We have a = p, b = 8 and c = 2.
=> (8)² - 4(p)(2) < 0
=> 64 - 8p < 0
=> 8p > 64
=> p > 8
Hence the range for p is p > 8.
10.) Combine the like terms in the following expression: 8 + 3x + x + 5 + 2x *
Answer:
6x+13
Step-by-step explanation:
I hope this is right.
I rlly need help and the operation bby plssssss help me
Answer:
∠ AFE = 35°
Step-by-step explanation:
∠ EFD = ∠ BFC = 55° ( vertically opposite angles )
Since BD is a straight line , then
∠ EFD + ∠ AFE + AFB = 180°, that is
55° + ∠ AFE + 90° = 180
∠ AFE + 145° = 180° ( subtract 145° from both sides )
∠ AFE = 35°
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
the middle sign
Step-by-step explanation:
factorize -pq -pr +mq +mr
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
X + 5x - 6 < 12 solve for inequality
Answer:
7
Step-by-step explanation:
x+5x<12
x+5x=12
12-5x
=7
7 divide by 1
=7
A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi
Answer: 16pi
Step-by-step explanation:
All triangles are equal to ______ degrees
Answer:
180
Step-by-step explanation:
PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW
Answer:
cant its blocked
Step-by-step explanation:
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answer:
no solutions
Step-by-step explanation:
i guess im
Write each percent as a fraction in simplest form.
12%
Solve 7+2x over 3 = 5
Please and thank you! x
Answer:
x = 4
Step-by-step explanation:
(7 + 2x) / 3 = 5
Cross product
7 + 2x = 5 * 3
7 + 2x = 15
Subtract 7 from both sides
2x = 15 - 7
2x = 8
Divide both sides by 2
x = 8/2
x = 4
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
4|m-n|
If m=-7 and n=2
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
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3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)
What is the value of 20+6•5/-2
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
its false
Step-by-step explanation:
5+4-6=24
9-6=24
3=24 3 does not equal to 24 so its false
PLEASE HELP ASAP!!!! ILL MARK BRAINLEST
Answer:40
Step-by-step explanation:
100+10+10=3x
3x=120
Divide both sides by 3
X=40
Answer:
40
Step-by-step explanation:
add 100+10+10 and divide it by 3
You and a friend tutor for a total of 12 hours. Use the
tape diagram to find how many hours you tutor.
You
Friend
3x + x - 7 = 10
What does x=
First you add 3x+x because they are like terms.
3x+x-7=10
Your New Simplified Equation:
4x-7=10
Now, you have to take out the -7 by adding a positive 7. Also you have to add +7 on the other side so add 7 to 10.
Your New Simplified Equation:
4x=17 Now, you divide both sides by 4.
Your New Simplified Equation:
x= 17/4 So, that's your answer :)
Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?
Answer:
12
Step-by-step explanation:
4 pounds is 22 people
8 is 44
12 is 66