Answer:
We have to reject null hypothesis
Step-by-step explanation:
n = 800
P* = sample proportion = 0.67
Alpha = 0.05
Null hypothesis h0: proportion = 63%
Alternate hypothesis h1: proportion > 64%
Test statistics:
Z = (p* - P)/√pq/n
Z = 0.67 - 0.64/√0.63x0.37/800
= 0.67 - 0.63/0.017
=0.04/0.017
= 2.352
At 0.05 the critical value of z = 1.645
We compare z calculated and z critical value.
2.352 is greater than 1.645 therefore we take the decision to reject the null hypothesis at 0.05 level of significance.
The percentage of residents that supports construction is greater than 63%
Solve x≤0 or x≥−4 and write the solution in interval notation.
Answer:
-4 ≤ x ≤ 0
Step-by-step explanation:
Given
x ≤ 0 or x ≥ -4
Required
Write using Interval notation
x ≤ 0 or x ≥ -4
This can be rewritten as
x ≤ 0 or -4 ≤ x
Reorder the above inequality to give:
-4 ≤ x or x ≤ 0
The above inequality can then be combined to give
-4 ≤ x ≤ 0
Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0
- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.
Answer: 1,150
Step-by-step explanation:
100 x 5 = 500
150 x 3 = 450
500 + 450 + 200
Connor has 1,150 points
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
$254.76
$867.16
$632.00
$2,547.58
Answer:
Patricia's account balance after thirteen years is $867.16
Step-by-step explanation:
This problem is on simple interest calculation
we know that the formula for simple interest is given as
A= P(1+rt)
Given that
P= $612.40
r= 3.2%= 0.032
t= 13 years
Applying the formula we have
A= 612.40(1+0.032*13)
A= 612.40(1+0.416)
A= 612.40(1.416)
A= 867.1584
A= $867.16
For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).
Answer:
[see below]
Step-by-step explanation:
Replace 'x' with the given value and evaluate.
For f(0):
[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]
For f(1/2):
[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]
For f(-2):
[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]
Hope this helps.
Is the point (2,14) a solution of the equation y = 5x - 3?
Answer: No it is not
Could you answer this
A preferred stock pays an annual dividend of $6.75 and sells for $58.60 a share. What is the rate of return on this security?
Answer:
11.52%
Step-by-step explanation:
Price (p0) = 58.6
Dividend (D1) = 6.75
P0= D1/ke
58.6 = 6.75/ke
ke = 6.75/58.6
ke = 0.1152 or 11.52%
Rate of return (ke) = 11.52%
(2x-) + (1/2xy-10) x=4 and y=7
Answer:
0
Step-by-step explanation:
[2(4)-12]+[1/2(4)(7)-10]
(8-12)+(2(7)-10)
-4+14-10
0
BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Hey there!
4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.
4a^2 - 20a +25
(2a)^2 - 20a + (-5)^2
(2a - 5)^2
(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.
Let me know if this helps :)
Answer:
Step-by-step explanation:
Part A
[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]
does that seems familiar?
it's because it's a perfect square that can be factorized as
[tex](2a-5)^2[/tex]
so the length of each side is
2a-5 both of them
Part B
[tex]9a^2-16b^2[/tex]
[tex](3a)^2-(4b)^2[/tex]
that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]
so
[tex](3a-4b)(3a+4b)[/tex]
so the lengths are
3a-4b and 3a+4b
In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!! i will mark brainliest for the best answer
If 20% of a number is 20
find that number
Answer: 100
1. Set a proportion.
[tex]\frac{20}{x} = \frac{20}{100}[/tex]
x = 100
How do I make sure if it is correct?
100 x .2 = 20
3.6399; thousandths round it
Answer:
3.6399 = 3.640
Step-by-step explanation:
[tex]3.6399\\1\:2\:3[/tex]
Rounding to nearest thousandth means rounding to 3 decimal place
(0 to 4) =round down
(5 to 9)= round up
Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths
Answer:
a) experimental: 164/500 = 41/125, which is 0.328
b) theoretical: 2/6 = 1/3, which is 0.333333....
c) the first answer, small difference
Step-by-step explanation:
A recipe for chocolate chip cookies calls for 1 1/4 cups of flour. If you are making 2 2/3 recipes, how many cups of flour are needed?
(Simplify your answer. Type a whole number, reaction, or mixed number.)
Answer:
2 2/3 cups of flour
Step-by-step explanation:
To answer this question you need to multiply 1 1/4 by 2 2/3
To multiply first make each mixed number an improper fraction
This means multiplying the whole number by the denominator, then adding the numerator
For example 1 1/4 would become 5/4 because 4 x 1 = 4 and 4 + 1 = 5, & 2 2/3 would be 8/3
Now multiply the numerator and denominator (5/4 x 8/3)
30/12 simplified to 8/3 (2 2/3)
Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?
Answer:
The probability is [tex]P(X < 25) = 0.308[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time is uniform probability distribution between 21 and 38 minutes.
Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as
[tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]
=> [tex]P(X < 25) = 0.308[/tex]
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle.
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
in order to find the area of the rectangle first you need to find the measure of the length and width.
since both of them aren't given ,use trigonometry to find the value of the length and width.
sin30°=opposite/hypotenuse
sin30°=opposite/8cm
opposite=sin30°*8cm. >sin30°=0.5
opposite=4cm
cos30°=adjacent/hypotenuse
cos30°=adjacent/8cm
adjacent=cos30°*8cm. cos30°=0.866
adjacent=6.92cm (approximate value)
Arectangle= bh
Arectangle=4cm*6.92cn
Arectangle=27.68cm
Write an equation of the line below.
Answer: y=(-1/4)x
Step-by-step explanation:
slope-intercept form: y=ax+b
--------------------------------------------
#1 Find the slope
- Use rise/run: -(2/8)=-1/4
-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4
#2 Find the y-intercept
- Given the point (0,0), the y-intercept is already shown which is 0
------------------------------------------
a=-1/4
b=0
y=(-1/4)x
Please help fast!, i'd really like the correct answers- :'O
Answer: 2/5
Step-by-step explanation:
[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5
Answer:
−2/5 + 4/5= 2/5
2/5
I'd love brainliest btw (❁´◡`❁)
express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form
Answer:
Step-by-step explanation:
the prime factors of 1470= 2 x 3 x 5 x 7 x 7
also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
hence of
1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
required answer pls hit the stars and brain-list it
Solve √108÷√125+√75 step by step
Answer:
Step-by-step explanation:
√108 ÷ √125 + √75
= 6√3 ÷ 5√5 + 5√3
= 11√3 / 5√5
hope this helps
plz mark as brainliest!!!!!!!
will mark brainliest, 60 points
Answer:
21 C
22 B
23 169
Step-by-step explanation:
21 3m mean 3 times a certain number
22 the negative make the 4 go negative and the -5 positive
23 i did 5^2-4^2= 9
then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2
then 13 x 13 = 169
the product of nine and the difference between a number and five
5-9x
9(x-5)
9(5-x)
9x-5
Answer:
9(x-5)
Step-by-step explanation:
Product of 9 = Multiply by 9
Difference = Subtract
Number = x
Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).
What is an Algebraic Equation?An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.
Let variable x represent the number
Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).
Learn more about algebraic expression on:
https://brainly.com/question/2164351
(–6x2 – 3x – 1) - (x + 8)
Answer:
-6x^2-4x-9
Step-by-step explanation:
(–6x^2 – 3x – 1) - (x + 8)
Distribute the minus sign
–6x^2 – 3x – 1 - x - 8
Combine like terms
-6x^2-4x-9
an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.
Answer:
Since I can't draw it I'll give you the answer. 2,000 g.
Step-by-step explanation:
A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.
Which of the following statments is true regarding the solutions to the quadratic equation 5x^2 +6x+2=0? See picture
Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches
Answer:
16 inches
Step-by-step explanation:
in a triangle, the sum of any two sides must be greater than the third side
Use the drop-down menus to complete each
statement
On the time line, each hash mark represents
years.
The Council of Trent lasted
v years.
>
Answer:
Each hashmark represents 10 years, concil of trent was for 25 years,
pls give thanks and mark brainliest
Answer:
It's TEN and EIGHTEEN.
Step-by-step explanation:
Given the following expression, identify the coefficient of the 2nd term
-6n^2+5n+3
A. -6
B. 2
C. 5
D. 3
Answer:
C. 5
Step-by-step explanation:
The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.
2x + 5 = 25 solve for x
will give brainliest
Answer:
x = 10
Step-by-step explanation:
Subtract 5 from both sides:
2x + 5 = 25
2x = 20
Divide each side by 2
x = 10
Answer:
x=10
Step-by-step explanation:
25-5 = 20, so then you divide 20 by 2 to get 10
f (x) = 2(x)2 +59/(x+2)