Solution :
It is given that we use CI = 95%
Therefore, the value of z = 1.96 as the [tex]$P(-1.96 <z<1.96)=0.95$[/tex]
Also, here it is given that E = 0.05 and the value of p = 0.25
Thus from the formula of E, we can find n
[tex]$E= z \times \sqrt{\frac{pq}{n}}[/tex]
[tex]$n= \left(\frac{z}{E}\right)^2 \times p \times q$[/tex]
[tex]$n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$[/tex]
= 288.12
= 289
Solve each equation.
40 = -8(x + 2)
Answer:
x = -7
Step-by-step explanation:
it’s right!
given that angle one is approximately equal to angle two, and angle three is approximately equal to angle one, prove line xy is parallel to line wv (using the statements and reasons columns)
Answer :
Statements :-
1. Segment XY is parallel to segment WV.
2. Angle 1 is congruent to angle 2.
3. Angle 3 is congruent to angle 1.
4. Angle XMY is congruent to angle VMW.
Reasons :-
1. Given
2. Given
3. Given
4. SSS (Side-Side-Side)
Hope this helps, thank you !!
Shape p is translated to shape Q using vector (a b).
Please find A.
Photo attached.
Answer:
-7
Step-by-step explanation:
you basically just move across and because its moving to the left its a negative
Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..
What is translation of a graph?In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.
Given:
The shape P is mentioned on the graph is translated to shape Q.
So, the shape shifted 7 units to left.
and, the shape needs to shift downwards 4 places.
Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].
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How many boxes did Lamar sell?
How many boxes did Jina sell?
what is 473.2608 rounded to the nearest tenth
Answer:
473.2608 rounded to the nearest tenth Is 473.3
Step-by-step explanation:
Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar. How many cups of flour are in this recipe?
The solution is?
Answer:
146
Step-by-step explanation:
because 3times the cups is 36
so four times more 36
There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.
Let's assume the amount of sugar used in the recipe is represented by the variable "s."
According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:
Flour = 3s + 4
Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:
12 = 3s + 4
Subtracting 4 from both sides of the equation:
12 - 4 = 3s
8 = 3s
Dividing both sides by 3:
8/3 = s
s = 2.67
Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.
Now, we can find the amount of flour by substituting the value of sugar into the equation:
Flour = 3s + 4
Flour = 3(3) + 4
Flour = 9 + 4
Flour = 13
Therefore, there are 13 cups of flour in this recipe.
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What are the domain restrictions of q^2-3q-4/q^2-7q-8
QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*
Answer:
ill say its c but im not that sure
Step-by-step explanation:
Rewrite the following polynomial in standard form
Answer:
-7x³ - ⅑x - 1
Step-by-step explanation:
A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.
Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.
Thus, we would have:
✅-7x³ - ⅑x - 1
Work out the value of 3 \times(3^2 + 4) - 83×(32+4)−8
Answer:Conversion a mixed number 8 1/
4
to a improper fraction: 8 1/4 = 8 1/
4
= 8 · 4 + 1/
4
= 32 + 1/
4
= 33/
4
To find new numerator:
a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/
4
= 32/
4
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write a previous answer (new numerator 33) over the denominator 4.
Eight and one quarter is thirty-three quarters
Conversion a mixed number 3 2/
5
to a improper fraction: 3 2/5 = 3 2/
5
= 3 · 5 + 2/
5
= 15 + 2/
5
= 17/
5
To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5
b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17
c) Write a previous answer (new numerator 17) over the denominator 5.
Three and two fifths is seventeen fifths
Subtract: 33/
4
- 17/
5
= 33 · 5/
4 · 5
- 17 · 4/
5 · 4
= 165/
20
- 68/
20
= 165 - 68/
20
= 97/
20
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 7/
3
- 1/
4
= 7 · 4/
3 · 4
- 1 · 3/
4 · 3
= 28/
12
- 3/
12
= 28 - 3/
12
= 25/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - seven thirds minus one quarter = twenty-five twelfths.
Subtract: the result of step No. 3 - the result of step No. 5 = 97/
20
- 25/
12
= 97 · 3/
20 · 3
- 25 · 5/
12 · 5
= 291/
60
- 125/
60
= 291 - 125/
60
= 166/
60
= 2 · 83/
2 · 30
= 83/
30
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step , cancel by a common factor of 2 gives 83/
30
.
In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.
Step-by-step explanation:took a lot of time brainliest plz
Find an equation of the straight line that is perpendicular to y=2x+1 and passes through the point (-2,5)
Answer:
y = -1/2x + 4
Step-by-step explanation:
to answer this question you need to find the slope and the y-intercept
to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line
in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2
knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:
y = mx + b and then plug the values in so find the y-intercept ('b')
5 = (-1/2)(-2) + b
5 = 1 + b
b = 4
put it all together: y = -1/2x + 4
The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s
Answer:
P = 2288 W
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed i.e.
[tex]P\propto s^2[/tex]
or
[tex]P=ks^2[/tex]
Put s = 35, P = 1760 to find k.
[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]
Now put k = 1.43 and s = 40. So,
[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]
So, the new power is 2288 W when the speed is 40 m/s.
The area of a circle is 9πft^2. What is the circumference in feet?
Answer:
98
Step-by-step explanation:
Answer:
6π ftStep-by-step explanation:
Area:
A = πr²Circumference:
C = 2πrSubstitute values in area:
πr² = 9πr² = 9r = 3 ftCircumference is:
C = 2π*3 = 6πcos(2x) + sin^2(x) = 0
cos(2θ) + sin²(θ) = 0
Half-angle identity:
cos(2θ) + (1 - cos(2θ))/2 = 0
Simplify:
2 cos(2θ) + 1 - cos(2θ) = 0
cos(2θ) = -1
Solve for θ :
2θ = arccos(-1) + 2nπ
2θ = π + 2nπ
θ = π/2 + nπ
where n is any integer.
Calculate the value of x
35 degree 2x+16 4x+3
f(x)=x-7 and g(x)=2x-3
find f(g(4))
Answer:
f(g(4)) = -2
Step-by-step explanation:
First, find g(4) by plugging in 4 as x into the function:
g(x) = 2x - 3
g(4) = 2(4) - 3
g(4) = 8 - 3
g(4) = 5
f(g(4)) can be found by finding f(5), since g(4) = 5
Find f(5) by plugging in 5 into the function:
f(x)= x - 7
f(5) = 5 - 7
f(5) = -2
So, f(g(4)) = -2
Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times
Step-by-step explanation:
y = 25t + 250
y is the total amount
t is number of times babysitting
What is the cos A? ....
Answer:
4/5
Step-by-step explanation:
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answer: 12
Step-by-step explanation:
A number x is three times the value of number y. A number z is eight times the value of y. The sum of
the three numbers is 528. What are the 3 numbers (HINT: This problem requires 3 equations to solve!!
Step-by-step explanation:
y=a
x= 3a
z=8a
3a+8a+a=524
12a=528
a=44
X=3×44=132
z=8×44= 352
Answer:
y=a
x= 3a
z=8a
3a+8a+a=524
12a=528
a=44
X=3×44=132
z=8×44= 35
2
Step-by-step explanation:
Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?
9514 1404 393
Answer:
90 student tickets65 adult ticketsStep-by-step explanation:
For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...
6a +3(a+25) = 660
9a +75 = 660
9a = 585
a = 65
(a+25) = 90
The drama class sold 90 student tickets and 65 adult tickets.
PLEASE HELP I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
48
Step-by-step explanation:
Evaluate each of the functions by putting the number where x is.
[tex]g(x)=x^2-4\\\\g(-7)=(-7)^2-4=49-4\\\\\boxed{g(-7)=45}\\\\f(x)=x+4\\\\f(-7)=-7+4\\\\\boxed{f(-7)=-3}[/tex]
Then the difference is ...
g(-7) -f(-7) = 45 -(-3) = 45 +3 = 48
Answer:
solution given;
g(x)=x²-4
f(x)=x+4
Now
g(-7)-f(-7)=(-7)²-4-(-7+4)=49-4+3=48
48 is a required answer.
Solve the system of linear equations by substitution.
−5x+y=−7
−3x−2y=−12
Please help I'm having panic attacks about failing this test and failing the class this is my last test and I have a C please help
Answer:
[tex]x = 2 \\ y = 3[/tex]
[tex] - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ [/tex]
[tex] - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2[/tex]
[tex]y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3[/tex]
From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) 33
B) 65?
C) 60?
D) Becuase its the same shape just smaller.
E) 14, its cut in half
Step-by-step explanation:
be careful if you use these, its been a while since I geometry.
Simplify
(5 - 4x) (6 + 7x)
Answer:
30+11x−28x2
Step-by-step explanation:
it is 30+11x-28x2
The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day ?
write the mixed number you got
4 2/3 think of how many time you can put 3 into 14 the section out the rest
Answer:
4 2/3
Step-by-step explanation:
the millers travled 4 2/3
What type of function is f(x)=2(1/7)^x?
Linear
Exponential Decay
Exponential Growth
None of the Above
Answer:
B) Exp. Decay
Step-by-step explanation:
Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.
The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Function; f(x)=2(1/7)^x
Now,
The function has the form f(x)=abx
where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.
Therefore, by the given function the answer will be Exponential Decay.
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What is 23% over a 100
Answer:
0.0023 or 23 / 10000
Step-by-step explanation:
23% = 0.23
0.23 / 100 = 0.0023
Answer:
23
Step-by-step explanation:
anything over 100 s a percent
like 15/100 is 15%
180 miles in 4 hours at what rate how long will it take to drive 270 miles
Answer:
6
Step-by-step explanation:
180 / 4 = 45
45mi = 1hr
270 / 6 = 45