Answer:
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16
Answer:
B
Step-by-step explanation:
Let's use S for Suzanne
A for Allison
S= 12
4s = A
4 x 12 =48
Find the slope between:
(4, -1)
(-2,4)
Answer:
-5
----
6
Step-by-step explanation:
y2-y1
-------
x2-x1
-1-4 -5
------ = ---
4--2 6
~Anna
During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.
Answer:
I think it might be five feet
Step-by-step explanation:
I'm smart<3
The average change in depth is 5 feet/ second.
It is required to find the average change in depth per second.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]
Scuba diver's rate of change
[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.
Therefore, the average change in depth is 5 feet/ second.
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In the inequality, what are all the possible values of x?
−8x + 6 ≤ 2(−3x + 1)
A) x ≥ 2
B) x ≤ 2
C) x > 1/2
D) x < −1
Answer:
A
Step-by-step explanation:
-8*2+6≤2(-3*2+1)
= -10≤-10
What is the water shed
Answer:
Watershed is a drainage basin in a particular area where precipitation collects or stores and drains off in a river or bay etc.
hope it helps!
Answer: A watershed describes an area of land that contains a common set of streams and rivers that all drain into a single larger body of water, such as a larger river, a lake or an ocean. the Mississippi River watershed is an enormous watershed. Small watersheds are usually part of larger watersheds.
Find the slope of the line passing through the poin (- 3, 7) (2, - 6)
Answer:
[tex] \frac{13}{ - 5} [/tex]
Step-by-step explanation:
[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]
Answer:
-2.6
Step-by-step explanation:
Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.
It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.
Given:
Coordinates (- 3, 7) (2, - 6)
y1 = 7, y2= -6, x1= -3, x2=2
Slope : ∆ y/ ∆ x
= (y2 - y1 )/ (x2 - x1)
= (-6 - (7))/ (2 - (-3))
= (-13)/(5) = -13:5= -2.6
what's 4.54 rounded to the nearest tenth?
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
the quadratic function h(t}= -16.1t2+150
Answer:
Huh. I don't really see the question at hand.
PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
30%
Step-by-step explanation:
Seems as if that lamb was thiccccca than what you thought
Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }
B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }
C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }
D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }
Answer:
B
Step-by-step explanation:
A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km
Answer:
16.9 km
Step-by-step explanation:
From the diagram attached, we can see that the problem forms a triangle.
So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.
Thus;
d² = 16.8² + 2.2²
d² = 282.24 + 4.84
d² = 287.08
d = √287.08
d = 16.9434
Approximating to the nearest tenth, we have;
d ≈ 16.9 km
100 points. Easy question.
Topic: Adding and Subtracting fractions.
ONLY DO QUESTION 8 NOT 9 AND 10
Answer:
17 1/8 km
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
The common denominator is 8
6 7/8 already has a denominator of 8
5 1/2 = 5 1/2*4/4 = 5 4/8
4 3/4 *2/2 = 4 6/8
6 7/8 + 5 4/8 + 4 6/8
15 17/8
15 + 8/8+ 8/8+1/8
15 + 1 + 1 + 1/8
17 1/8
Answer:
[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
Turn to improper fractions.
55/8 + 11/2 + 19/4
Make denominator equal by LCM.
55/8 + 44/8 + 38/8
Add fractions because they have same denominators.
137/8
Turn to mixed fraction.
17 × 8 = 136 + 1
17 1/8
If the original quantity is 10 and the new quantity is 13, what is the percent increase?
Answer:
30%
Step-by-step explanation
13 is a 30% increase of 10.
Answer:
30% increase
Step-by-step explanation:
subtract original quantity from new quantity: 13 - 10 = 3
divide the difference by original quantity: 3/10 = 0.30
convert that result to percentage by moving decimal place over twice to the right.
You're done! Answer = 30%
Write in slope-intercept form an equation of the line that passes through the given points. (2, 4), (3, 6) y=
Answer:
m=6-4/3-2=2/1=2
y-4=2(x-2)
y-4=2X-4
y=2X
Hailey has 48 inches of ribbon. How many feet of ribbon does she have?
Conversion:
12 inches = 1 foot
Divide:
48 / 12 = 4
Therefore, Hailey has 4 feet of ribbon.
Best of Luck!
Answer: 4 foot of ribbon
Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer
hope this helps and mark me brainliest if it did hope you have a great day
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.
Answer:
3.3 cm
Step-by-step explanation:
Volume of a rectangular prism =Length X Width X Height
Volume of the cake batter [tex]=1848cm^3[/tex]
The cake pan is a right rectangular prism 20cm wide by 28cm long.
Therefore:
1848=20 X 28 X Depth
1848=560 X Depth
Depth=1848/560
Depth of the batter=3.3 cm
The batter is 3.3cm deep in the pan.
HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.
The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.
CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as
Answer:
more than
Step-by-step explanation:
Answer: (A ) greater than
Step-by-step explanation:
The answer is greater than the number Of points Luther scores in each game
All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.
Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish
Answer:
Step-by-step explanation:
4 feet
Answer:
It would be 4 feet because 6-10 is 4 its really easy
Step-by-step explanation:
I hope i helped?
Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?
Answer:
100 pack
Step-by-step explanation:
Well first just calculate the cost. 16 * 6 = 96
1.75 * 6 = 10.5
100 popsicles is cheaper.
Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?
Answer:
The volume of Vince’s Kitchen is 680 cubic feet
Step-by-step explanation:
To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen
Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen
From the question, the area of the kitchen floor = 85 square feet
Height of kitchen = 8 feet
Plugging these values to get the area of the Kitchen, we have;
V = 8 * 85 = 680 cubic feet
The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge.
Answer:
Cost of ordering t-shirts the same at both sides is 7
The cost is $85
Step-by-step explanation:
let x equal the number of tshirts
Hence:
15 + 10x = 50 + 5x
10x-5x= 50-15
5x = 35
35/5x
x = 7
Therefore the cost of ordering t-shirts the same at both sides is 7
The cost is $85
i need help with this questions can someone please help me
Answer:
pupil question:
3 6 1
3 have brothers
6 have both
1 has sisters
Step-by-step explanation:
3+6+1+2=12
A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.
Answer:A
Step-by-step explanation:
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.
What is a box plot?A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.
Here,
The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8
The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.
The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.
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Question 28
Let be an angle in quadrant such that.
Find the exact values of and.
Answer:
see explanation
Step-by-step explanation:
Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0
Using the identity
sec x = [tex]\frac{1}{cosx}[/tex] , then
cos x = - [tex]\sqrt{1-sin^2x}[/tex]
= - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus
secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]
---------------------------
Using the identity
tan x = [tex]\frac{sinx}{cosx}[/tex] , then
tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]
The value of sec(x) is (5/4) and tan(x) will be (-3)(4).
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.
The six trigonometric ratios are the source of all fundamental trigonometric identities.
The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-
sec(x) = 1 / cos(x)
[tex]cosx = \sqrt{1-sin^2x}[/tex]
[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]
cos(x) = 4 / 5
sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)
The value of tan(x) will be calculated as:-
tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )
tan(x) = (-3/4)
Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).
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Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1
Answer: My bad I don’t know how to teach it but it’s B
Need help ASAP. WILL MARK BRAINLIEST
Answer:it is b2 I took the test
Step-by-step explanation:
Now mark me braunliest
What is the distance between (2,4) and (5,-2)
Answer:
my answer is 3√ 5
Answer:
-3
Step-by-step explanation:
Here is the formula for this one: (x 2- x 1) + (y 2- y 1).
Hope this helps.
Divide -x^3-2x^2-2x+4 by x -3
Answer:
− x 2 − 5 x − 17 − 47 x − 3
Step-by-step explanation:
Divide using polynomial division.
Polynomial :
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
11=3x-4
x=....
thanks all
Answer:
the value of x is 5 .
Step-by-step explanation:
In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :
[tex]11 = 3x - 4[/tex]
[tex]11 + 4 = 3x - 4 + 4[/tex]
[tex]15 = 3x[/tex]
Next, you have to divide it by 3 :
[tex]3x = 15[/tex]
[tex]x = 15 \div 3[/tex]
[tex]x = 5[/tex]
Answer:
the answer is attached to the picture
Step-by-step explanation:
hope this helps
