The value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.The confidence level is 95% when finding the margin of error for the mean of a normally distributed population from a sample.
The critical z score value for the confidence level of 95% is 1.96 and +1.96 standard deviation.
Thus, the value of z-score with a confidence level of 95% in finding margin of error for the mean of a normally distributed population from a sample is 1.96.
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Answer:
1.96
Step-by-step explanation:
its 1.96 or c on edge 2020
The parallel sides of a Trapezium are 77 and 60 and its non parallel sides are 26 and 25 m find the area of trapezium
PLEASE GIVE FULL METHOD
Answer:
Area of Trapezium=1/2h(L1+L2)
I think it will help you
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answer:
Step-by-step explanation:
A. Greatest common factor is 6, so wrong.
B. Correct.
C. Wrong, least common multiple is 8.
D. Wrong, least common multiple is 12.
PLEASEEEE HELPPPPP A flying disk is thrown into the air from a height of 25 feet at time t=0. The function that models this situation is h(t) = -16t2 + 75t + 25, where t is measured in seconds and h is the height in feet. Which values best describe the domain of the function in the context of the problem?
A. 0 ≤ t ≤ 5
B. 0 ≤ t ≤ 25
C. All real numbers
D. All positive integers
Answer:
A)
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+75t+25[/tex]
The domain (input values) will be the x-intercepts, so the values of t when h(t) = 0.
The quickest way to find these is to use the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{75^2-4(-16)(25)} }{2(-16)}[/tex]
[tex]\implies t=\dfrac{-75 \pm \sqrt{7225}}{-32}[/tex]
[tex]\implies t=\dfrac{75 \pm 85}{32}[/tex]
[tex]\implies t=5, t=-\dfrac{5}{16}[/tex]
Time cannot be negative.
When h(t) = 0, the disk will hit the floor.
Therefore, the domain is restricted to 0 ≤ t ≤ 5
im trying to get htis one right i dont get it
Answer:
I'd love to help, but I need the full question first!!!
Please help, will give brainest
I need to know what it is
Answer:
1. C 3 1/8
2. A 3
Step-by-step explanation:
Which dog pens have the same perimeter?
Answer:
Problem 4: Dog pens 2 and 3
Problem 5: Dog Pens 1 and 2
Problem 6: 6cm and 6cm
problem 7: A
Step-by-step explanation:
On January 1st, 2003, Gerry opened a savings account that paid 3. 25% annual interest. His initial deposit was $1,100. If Gerry didn’t deposit or withdraw any additional money, what was his balance at the close of December 31st, 2012?
Answer:$1,457.50
Step-by-step explanation:
hi please help i’m having trouble solving these
Step-by-step explanation:
4) 36
5) 45⁰
6) 42⁰
I hope it helped you
Colorado is roughly shaped like a rectangle. The state is about 6.12 x 105 m long and 4.5 x 105 m wide. Wyoming has an area of about 2.6 x 1011 m2. What is the estimated difference of area between the two states? Write your answer using scientific notation. Show your work.
The estimated difference of the area of Colorado and Wyoming in scienfic notation is 2 x [tex]10^{-1}[/tex]m².
What is the difference in the area of the states?Scienfic notation is used in expressing large numbers in smaller numbers. In order to write a number in stscienfic notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
Area of Colorado = (6.12 x [tex]10^{5}[/tex]) x (4.5 x [tex]10^{5}[/tex]) = 27.54 x [tex]10^{10}[/tex]
= 2.8 x [tex]10^{11}[/tex]m²
Difference in the areas = 2.8 x [tex]10^{11}[/tex]m² - 2.6 x x [tex]10^{11}[/tex]m² = 0.2m²
= 2 x [tex]10^{-1}[/tex]m²
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18. 54 grams of a certain brand of breakfast cereal contain 190 calories. Let g
represent grams of cereal and c represent calories. Identify the type of variation,
find the constant, and write an equation to represent the relationship between
grams and calories.
Answer:
The relation is c = 3.519g.
Step-by-step explanation:
This is direct variation.
c = kg where k is the constant of variation.
Substituting the given values:
190 = k * 54
so the constant of variation is:
k = 190/54 = 3.519 to nearest thousandth,
and the equation is:
c = 3.519g.
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11) 3(x 11) x2(x 11) – 3(x 11)
The one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]
We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
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From the observation deck of a skyscraper, Valeria measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 945 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trigonometric ratio:
tan(23) = d/ 945
d = 401.1 feet
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
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The difference between three times an angle's measure and its complement is 46. Find the measure of the angle
Answer:
Step-by-step explanation:
Equation
Let the angles measure = x
Let the complimentary angle = 90 - x
3x - (90 - x) = 46 Remove the brackets
Solution
3x - 90 + x = 56 Combine like terms on the left
4x - 90 = 56 Add 90 to both sides
4x - 90 +90 = 56 + 90 Combine
4x = 146 Divide by 4
4x/4 = 146/4
x = 36.5
Answer
The given angle is 36.5
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x 1 centimeters, 2x centimeters, and x 6 centimeters. the equation 2 x cubed 14 x squared 12 x = 400 can be used to find x. what is the length of the longest side? use a graphing calculator and a system of equations to find the answer. 4 centimeters 5 centimeters 8 centimeters 10 centimeters
A rectangular prism with a volume of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm with the value of x being 4.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeter, 2x centimeters, and x + 6 centimeters.
Volume of rectangular prism = (length x width x height)
400 cm³ =( x + 1 )(2x)(x + 6 )
400 cm³ =( x + 1 )(2x)(x + 6 )
Substitute 4cm as the value of x.
x + 1 centimeters = 4 cm + 1 cm = 5 cm
2x centimeters = 2 ( 4cm) = 8 cm
x + 6 centimeters = 4 cm + 6 cm = 10 cm
Volume of rectangular prism = 10 cm × 5 cm × 8 cm
= 400 cm³
Thus, the given rectangular prism of 400 cubic centimeters has dimensions of 5 cm, 8 cm, and 10 cm.
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Answer:
Step-by-step explanation:
its 10
What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)
The antilog provides the solution to the logarithmic equation. Then x has values of 2 and 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]
Take antilog, then we have
[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]
Then the value of the x is 2 and 4.
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A school district planted maple trees and oak trees to make a school forest. The district planted 504 trees altogether. The district planted 11 times as many maple trees as oak trees.
How many maple trees did the school district plant?
Answer:
Number of maple trees planted = 462
Step-by-step explanation:
Let the number of oak trees planted be x.
Given,
The number of maple trees is 11 times the number of oak trees.
Therefore,
Number of maple trees planted = 11 * x = 11x
Total number of trees planted = Number of oak trees planted + Number of maple trees planted
504 = x + 11x
504 = 12x
x = 504/12 = 42
Number of oak trees planted = x = 42
Number of maple trees planted = 11x = 11 * 42 = 462
its 8th grade math i did not pay attention
Answer:
a = 11
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex] {a}^{2} + {26.4}^{2} = {28.6}^{2} [/tex]
[tex] {a}^{2} + 696.96 = 817.96[/tex]
[tex] {a}^{2} = 121[/tex]
[tex]a = 11[/tex]
I really hate maths :(
a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total change in the water after 2 1/2 hours
The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.
What is the total change in the water?The total change in the water = -1 1/4 x 2 1/2
= -5/4 x 5/2 = -25/8 = -3 1/8
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The hands of clock form a 120° angle. What time is it? A. 2:00 B. 4:00 C. 6:00 D. 9:00
Answer:
4
Step-by-step explanation:
360 degrees in a circle /12 numbers on clock= 30 degrees for each number 120/30=4
Everett bought a hat and a shirt that were both on sale. The hat was on sale for 2/5 off the original price, and the shirt was on sale for 1/10 off the original price. How much more was the discount on the hat than the discount on the shirt?
Answer: 3/10
Step-by-step explanation:
Hat price 3/5
Shirt price 9/10
Difference in Discount 2/5 - 1/10 = 4/10 - 1/10
3x^2-2x+3
when x is 7???
Answer:
136
Step-by-step explanation:
Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.
Answer:
136
Step-by-step explanation:
substitute x = 7 into the expression
3x² - 2x + 3
= 3(7)² - 2(7) + 3
= 3(49) - 14 + 3
= 147 - 11
= 136
Find the area of the figure.
A: 114 cm2
B: 350 cm2
C: 418 cm2
D: 447 cm2
Answer:
The answer is C. 418cm2
Step-by-step explanation:
Which expression is equivalent to startfraction c squared minus 4 over c 3 endfraction divided by startfraction c 2 over 3 (c squared minus 9) endfraction? startfraction c 3 over c squared minus 4 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction startfraction c squared minus 4 over c 3 endfraction divided by startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction
The options have not been given but three correct alternatives have been presented as the solution.
We have given,
[tex]\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}[/tex]
Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,
What is the rule of a^2-b^2?[tex](a^2-b^2)=(a-b)(a+b)[/tex]
By applying the above formula we have:
[tex]=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
[tex]=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}[/tex]
Therefore the solution is,
[tex]=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18[/tex]
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Answer:
C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>
Step-by-step explanation:
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
The equation p(h)=5,000 • 2^h represents a bacteria population as a function of time in hours.
Check the picture below.
[tex]p(h)=5000(2)^h\implies \stackrel{p(h)}{100000}~~ = ~~5000(2)^h\implies \cfrac{100000}{5000}=2^h \\\\\\ 20=2^h\implies \log(20)=\log(2^h)\implies \log(20)=h\log(2) \\\\\\ \stackrel{\textit{using the \underline{change of base rule}}}{\cfrac{\log(20)}{\log(2)}=h\implies \log_2(20)=h}\implies 4.3219\approx h[/tex]
Which triangles are similar?
A. Triangles A and B
B. Triangles A, B, and C
C. Triangles A and C
D. Triangles B and C
Answer:
D. Triangles B and C
Step-by-step explanation:
When we look to Triangles B & C :-
37° = 37°
53° = 53°
90° = 90°
Therefore, both Triangles B and C are similar.
Answer:
D. Triangles B and C
Step-by-step explanation:
Brian is participating in a hotdog eating contest. There are 145 hotdogs on his plate and he will have 8 minutes to eat as many as he can. If he eats 12 hotdogs per minute, how many hotdogs will he have left over?
Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.
What is the percent of decrease from 80 to 0?
Answer:
100%
Step-by-step explanation:
You take everything away meaning you take 100% of the starting value to make it 0
Please hurry!!!
A total surface area of all land on Earth is approximately 6.0x10^7 square miles. Land covers approximately 0.3 of the entire surface of Earth. Which number is closest to the approximate total surface area, in square miles, of Earth?
Answer: 1.8 X 10^8
Step-by-step explanation: 6.0 X 10^7 times .3 = 1.8 X 10^8