Answer:
The minimum sample size required for the estimate is 345.
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 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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 of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
The roots of the equation 2x^2 + 4= 9x are imaginary?
The final statement is: The quadratic equations has real roots.
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: 2x²+4-9x=0
2x²-9x+4=0
2x²-8x-x+4=0
2x(x-4)-1(x-4)=0
(2x-1) (x-4) =0
Therefore the roots of the equation are 1/2 and 4 which are not imaginary.
Hence, The quadratic equations has real roots.
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A headband design calls for 1/5 yard of fabric. If Elizabeth has 3 yards of fabric, how many headbands can she make.
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
15. The cost of an article including 15% for taxes is
$138.00. What is the cost of the article without
taxes?
Answer:
$120
Step-by-step explanation:
Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Answer: the cost of the article without taxes is $120.
The required cost of the article without taxes is $120.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given the cost of an article including 15% for taxes is $138.00.
Lets Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without taxes is $120.
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At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?
Answer:
Darlene's dog weighs 10 pounds.
Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.
Hope this helps.
Please answer thank u ASAP.
Answer:
a?
Step-by-step explanation:
5g ∙ 7h in standard form
9514 1404 393
Answer:
35gh
Step-by-step explanation:
The standard form has one coefficient, and generally has the variables in lexicographical order.
35gh
I have a bucket which I use to fill a
paddling pool
I use 19 full buckets of cold water and 8
buckets of hot water, so the pool is full.
The capacity of the pool is 288 litres.
If I poured the water from one bucket into
some glasses, I could fill 32 glasses,
What is the capacity of each glass
in millilitres?
Answer:
35
Step-by-step explanation:
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whats 1+1 because i think its 11
Answer:
2
Step-by-step explanation:
when i have one fruit and you have another fruit and we add them together they are gonna b two
Witch is larger? 3/4 or 2/3
Please I need it now!,
Answer:
3/4
Step-by-step explanation:
3/4 2/3
find the lcm of the denominators
which is 12
and divide
convert 5.82% to an equivalent decimal
5.82% = 0.0582 in decimal form.
The value of the equation is A = 0.0582
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5.82 % be equation (1)
On simplifying the equation , we get
A = ( 5.82 ) / 100
On further simplification , we get
A = 0.0582
Therefore , the value of A is 0.0582
Hence , the equation is A = 0.0582
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Which expression represents the distance between the two numbers on the
number line?
a. -1 + 2.5
b. -1 -2.5
c. 12.5 - (-1)
d. 12.5 -11
Answer:
B.
Step-by-step explanation:
........................
The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 24 m by 24 m. What will be the area of the playgrounds?
Answer:
Each playground will be 100 m2. Both playgrounds are 200 m2.
Area of square is defined by a × a.
a = length of side. In this case a is 10 m
So, Area = 10 m × 10m
Area = 100 m2 (square meters). This is the area of one playground.
Two playgrounds will be the double, 200 m2
Step-by-step explanation:
What is the inverse of y=2x^2-8
Answer:
f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2
keep it under whole root
Step-by-step explanation:
Helppp me plsssssss I need this hel me out
Please help I'll give brainliest
Classify the following triangle. Check all that apply. 60° 8.4 4.2 30" 7.3 A. Acute B. Equilateral C. Obtuse D. Scalene E. Isosceles O F. Right
The given triangle is a right triangle and a scalene triangle.
What is a scalene triangle?A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.
It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.
In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.
Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.
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A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.
The height of the prism is _____ inches,square inches,cubic inches
Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present.
How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest tenth, if necessary.
7.5 ohms
8 ohms
50 ohms
120 ohms
9514 1404 393
Answer:
(b) 8 ohms
Step-by-step explanation:
We are told that y varies inversely to x, so the relation can be modeled by ...
y = k/x
The value of k is ...
k = xy = (12)(10) = 120
Then for x=15, the resistance is ...
y = 120/15 = 8 . . . . ohms
Answer:
(b) 8 ohms
Step-by-step explanation:
We are told that y varies inversely to x, so the relation can be modeled by ...
y = k/x
The value of k is ...
k = xy = (12)(10) = 120
Then for x=15, the resistance is ...
y = 120/15 = 8 . . . . ohms
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
Candice wanted to get into shape for the tennis match. Her coach said she needed to include running for at least 10 minutes a day. This week Candice ran every day for 12 minutes. What is the total distance Candice ran?
A. The missing information is the distance Candice can run per minute.
B. The missing information is there are 7 days in 1 week.
C. The missing information is the distance Candice can run in one day.
D. The missing information is the amount of time Candice has to get into shape before the match.
Answer:
The answer is C.
Step-by-step explanation:
They don't explain how to find the total distance Candice ran.
Answer:
C
Step-by-step explanation:
can someone help me? please!!!
Answer:
Down below
Step-by-step explanation:
i'm gonna break it down into two parts.
Half-circle
[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]
Square
[tex]A=bh\\A=16*16\\A=256[/tex]
now to get it all we add them
[tex]A=100.48+256\\A=365.48[/tex]
Find shaded area. Please help!
Answer:
Area of shaded region = 70.88 unit
Step-by-step explanation:
Given:
Height of shaded region = 12 units
Width of shaded region = 8 units
Find:
Area of shaded region
Computation:
Radius of semi circle = Width of shaded region / 2
Radius of semi circle = 8 / 2
Radius of semi circle = 4 unit
Area of shaded region = Area of rectangle - Area of Semi circle
Area of shaded region = [l x b] - [πr² / 2]
Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]
Area of shaded region = 96 - [(3.14)(16) / 2]
Area of shaded region = 96 - 25.12
Area of shaded region = 70.88 unit
Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Answer:
6 choices
Step-by-step explanation:
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
What is the constant of proportionality
will choose braij
The constant proportion of the following data is 5.
The constant proportion of the following data is 5.Thank hope it helps
An engineer stands 50 feet away from a building with a surveying device mounted on a tripod. if
the surveying device is 5 feet above the ground and the angle of elevation is 50°, find how tall is
the building.
Answer:
The building is 64.6 feet tall.
Step-by-step explanation:
To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;
Height of the building = x + 5
But,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]
x = 50 x Tan [tex]50^{o}[/tex]
= 50 x 1.1918
= 59.59
x = 59.59
Height of the building = x + 5
= 59.59 + 5
= 64.6 ft
The height of the building is 64.6 feet.
Find the common difference of the arithmetic sequence -2, -4, -6, ...
Answer:
-8
in this the arthmatic difference is table of 2
Answer:
the common d/f is that -2>-4>-6
Help with number 2 please find the missing length
Jordan performed an experiment using a number cube. He rolled a number cube 50 times. He found that he rolled a 6 a total of 8 times. What is the experimental probability that he did not roll a 6?
Answer:
Step-by-step explanation:
Total number of rolls = 50
Number of times rolling a 6 = 8 times
Number of times not rolling a 6 = 50 -8 = 42
P(~6) = 42/50 = 0.84