Answer:
The margin of error for a 99% confidence interval was of $1.84.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.325[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation(square root of the variance) and n is the size of the sample. In this question, [tex]\sigma = \sqrt{375}, n = 600[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}} = 2.325\frac{\sqrt{375}}{\sqrt{600}} = 1.84[/tex]
The margin of error for a 99% confidence interval was of $1.84.
Determine the value of x.
Question 19 options:
A) 44.78
B) 70.57
C) 3.22
D) 0.02
Answer:
A) 44.78
Step-by-step explanation:
A foul ball leaves the end of a baseball bat and travels according to the formula
h(t) = -16t? +64t where h is the height of the ball in feet and t is the time in seconds.
How long will it take for the ball to reach a height of 64 feet in the air?
Answer:
80t
Step-by-step explanation:
16t+64t=80t
The ratio of the lengths of the three sides of a triangle is 6:8:9. Its perimeter is 345 in. Find
the measure of the SMALLEST side of the triangle.
Do not include unit in your answer. Type the numerical answer ONLY.
Answer:
40 : 60 : 90
Step-by-step explanation:
To solve this add the total of all the numbers of the ratio. 4 + 6 + 9 = 19.
Take that total and divide the perimeter by it: 190 / 19 = 10.
So each of those ratios need to be multiplied by 10.
Final answers: 40 : 60 : 90. They have a ratio of 4:6:9 and add up to 190.
What is the product
of (a - 5) and (a + 3)?
Answer:
a^2 - 2a - 15
Step-by-step explanation:
( a - 5 )(a + 3 )
distribute
a^2 + 3a - 5a - 15
a^2 - 2a - 15
Hope this helps!!!
(c) Select all that describe JM.
K
Perpendicular bisector of KL
Angle bisector of 2
M
U Median of AJKL
u Altitude of AJKL
L
I None of the above
Answer: Can someone please help me on my most recent question?
Step-by-step explanation: Sorry man I dunno how to do this but I need help too
Need help ASAP
i dont understand this someone help
Answer:
x=2
Step-by-step explanation:
Dilation of 3
6/3=2
The blue dot is at what value on the number line? -10 -16
PLEASE ANSWER NOW!!!!
Answer:
- 22
because if you add 6 more to 16 the answer will be -22
Round each measurement to the nearest ten. Then estimate the area of the rectangle.
Answer:
C. 4,000
Step-by-step explanation:
46 can round to 50, and 82 rounds to 80. 50 * 80 = 4,000
Help You Will Get Brainiest Please I Don't Have Time
Answer:
What is the area of the border of the wall?
Step-by-step explanation:
[tex] {x}^{4} - 17x ^{2} + 16[/tex]
factor completely
Answer:
[tex] \underline{{x}^{4} - 17 {x}^{2} + 16} \\ {x}^{4} - {x}^{2} - 16 {x}^{2} + 16 \\ {x}^{2} ( {x}^{2} - 1) - 16( {x}^{2} - 1) \\ ( {x}^{2} - 1)( {x}^{2} - 16) \\ \boxed{(x - 1)(x + 1)( x - 4)(x + 4)}✓[/tex]
(x-1)(x+1)(x-4)(x+4) is the right answer.April is making necklaces using beads
that are 6 millimeters in diameter.
What is the diameter of each bead in
centimeters?
Step-by-step explanation:
To convert millimeters to centimeters we divide
As, 10 millimeters = 1 centimeter
So 1 centimeter = 1/10 millimeter
So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm
So the diameter of each bead in the necklace = 0.6cm
The diameter of bead in a necklaces is 0.6 centimeters.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, April is making necklaces using beads that are 6 millimeters in diameter.
We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.
Here, 6 millimeters
= 6×0.1
= 0.6 centimeters
Therefore, the diameter of a bead is 0.6 centimeters.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ2
Henry has p colored pencils. katie has 7 times as many pencils as henry. ben has 8 fewer pencils then Katie. How many pencils do they have in all?
Answer:
7 x 8=56
Step-by-step explanation:
The equation gives the position s = f(t) of a body moving
on a coordinate line (s in meters, t in seconds).
1) s = 1 + 9(cos t)
Find the body's speed at time t=pi/3 sec.
2) s = 12(sin t) - (cos t)
Find the body's velocity at time t=pi/4 sec.
Answer:
1) The velocity at this time is of [tex]-9\frac{\sqrt{3}}{2}[/tex] meters per second.
2) The velocity at this time is of [tex]13\frac{\sqrt{2}}{2}[/tex] meters per second.
Step-by-step explanation:
This question involves concepts of derivatives.
The velocity is the derivative of the position.
We use these following derivatives:
[tex](\sin{x})^{\prime} = \cos{x}[/tex]
[tex](\cos{x})^{\prime} = -\sin{x}[/tex]
1) s = 1 + 9(cos t)
Find the body's speed at time t=pi/3 sec.
We have to find the derivative at [tex]t = \frac{\pi}{3}[/tex]. So
[tex]v = (1 + 9\cos{t})^{\prime} = -9\sin{t}[/tex]
[tex]v(\frac{\pi}{3}) = -9\sin{\frac{\pi}{3}}[/tex]
[tex]\frac{\pi}{3}[/tex] is a common angle, which has a sine of [tex]\frac{\sqrt{3}}{2}[/tex]. So
[tex]-9\sin{\frac{\pi}{3}} = -9\frac{\sqrt{3}}{2}[/tex]
The velocity at this time is of [tex]-9\frac{\sqrt{3}}{2}[/tex] meters per second.
2) s = 12(sin t) - (cos t)
Find the body's velocity at time t=pi/4 sec.
We have to find the derivative at [tex]t = \frac{\pi}{4}[/tex]. So
[tex]v = (12\sin{t} - \cos{t})^{\prime} = 12\cos{t} + \sin{t}[/tex]
[tex]\frac{\pi}{4}[/tex] is a common angle, which has both sine and cosine of [tex]\frac{\sqrt{2}}{2}[/tex]. So
[tex]12\cos{\frac{\pi}{4}} + \sin{\frac{\pi}{4}} = 12\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = 13\frac{\sqrt{2}}{2}[/tex]
The velocity at this time is of [tex]13\frac{\sqrt{2}}{2}[/tex] meters per second.
It is estimated that 75% of the students at Ryder Middle School are involved in athletics or
band. Which decimal represents the number of students involved in athletics or band?
A 0.075
B 0.75
C 7.5
D 75.00
Put a point on the number line to show the location of the number given below.
Answer:
you get 3367/500 which is equal to 6.734 wherever that is on the line
Step-by-step explanation:
put it in a calculator man
Rewrite the expression 13d - (-9d - 4) without parentheses.
Answer: 13d+9d+4
hope this helps! <3
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Pls graph and answer tyyyy!!!!!!!
Answer:
(0,1)
x=0, y=1
Name a linear pair.
Answer:
It is C. Linear pairs make a 180 degree turn. Hope this helps!
Step-by-step explanation:
Answer:
C. ∠GQI, ∠IQM
Step-by-step explanation:
linear pairs must add up to 180°
∠GQI and ∠IQM make a straight line which is 180°
PLEASE HELP FASTTTTT I ADDED A PICTURE
Martin has two rectangles that are the same size. One
rectangle is cut into 2-size parts. The other rectangle is cu
-size parts. He wants to cut the rectangles so they have
same size parts. How can he cut each rectangle?
A common denominator is a common multiple of the
denominators of two or more fractions. Fractions with
common denominators represent wholes cut into the
same number of parts.
Step-by-step explanation:
I want to help you but i don't understand your question
It would be better if you can interprint your question
A Jaguar XJ220 is 41 mph slower than a
Bugatti Veyron, which can travel 253 mph.
How fast does the Jaguar XJ220 travel
Answer:
212mph
Step-by-step explanation:
253-41=212
Suppose that 40% of households use their cell phones for their home phone. If 12 households are randomly selected, what is the probability that at least three use their cell phones
Answer:
0.917
Step-by-step explanation:
You invest $500 dollars in a savings account that has an interest rate of 5.2%. How much interest will you earn in 4 years?
Pls help me!
Answer:
104 Dollars
Step-by-step explanation:
Principal ammount= 500
(R) Interest rate= 5.2%
Time involved= 4 years
I= P x r x t
Hope this helped
Is 6z-2z+4 and 4+2z-6z equivalent
Answer:
yes
Step-by-step explanation:
HELP! Whoever gets it right gets brainliest!!!!
Answer:
B
Step-by-step explanation:
help meeeee please:(
Rewrite 4 * 6 2/3 as a product of a unit fraction and a whole number
Jason buys 2 baseball bats for $300. What is the unit rate per bat?
A. $100
B. $125
C. $140
D. $150
Answer:
Step-by-step explanation:
if 2 baseball bats costs 300
one will cost
300/2=150
Answer:
150 if tax is not present.
Step-by-step explanation:
x/2 - 1 = 3
What is X
Answer:
8
Step-by-step explanation:
x /2 -1 = 3
add 1 to both sides
x/2 = 4
multiply by 2
x = 8
2. Dustin Henderson lives 1 mile from Hawkins National Laboratory. A demogorgan can travel at a top
speed of 70 mph. How long will it take a Dart, Dustin's pet demogorgan, to reach the laboratory.
Give me a quick answer no need for fixing grammar mistakes and It’s not for a assessment, quiz, or test