Answer:
P (x≥ 57) = 6.7789 e^-8
Step-by-step explanation:
Here n= 100
p = 31/100 = 0.31
We formulate the null hypothesis that H0: p= 0.31 against the claim Ha: p≠0.31
The significance level is chosen to be ∝= 0.05
The test statistic x to be used is X, the number U.S. residents is to be taken which is at least 57
The binomial calculator gives the
P (x≥ 57) = 6.7789 e^-8
IF ∝= 0.05 then ∝/2 = 0.025
We observe that P (x≥ 57) is less than 0.025
Hence we reject H0 and conclude that p ≠0.31
This is true because for normal distribution the median = mean which is usually the 50 % of the data.
Two sides of a parallelogram are 9.5 feet and 4.9 feet. The measure of the angle between these sides is 96°. Find the area of the parallelogram to the nearest 10th of a square foot
Answer:
The area of the parallelogram is of 46.3 square feet.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram, given two sides a and b and the angle C between them, is given by:
[tex]A = ab\sin{C}[/tex]
In this question:
[tex]a = 9.5, b = 4.9, C = 96º[/tex]
Sides in feet, so area in square feet.
Area
[tex]A = ab\sin{C} = 9.5*4.9\sin{96º} = 46.3[/tex]
The area of the parallelogram is of 46.3 square feet.
answer plz faaast any one know the answer
Step-by-step explanation:
[tex] \binom{ \lim}{x→0} ( \frac{1}{x} - \frac{1}{ \ \: sinx} ) = \binom{ \lim}{x→0}( \frac{ \ sinx - x }{x \ sinx } ) = \binom{ \lim}{x→0}( \frac{ \ cosx - 1 }{x \ cosx + \ sinx } ) = \frac{0}{0} = 0[/tex]
Which trig ratio? Can you solve this??
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
If 2 person take 10 days to pick the apples from a tree, how many days will it take 4 people to do the same job?
Answer:
5 days
Step-by-step explanation:
Answer:
It will take 5 days for 4 people to do the job.
How to do it :
2 is half of 4.
5 is half of 10.
I think it might be "No" but i'm not sure please actually help
Answer:
D). The second difference is not constant
Step-by-step explanation:
The answer is D I hope it helps
A tennis court has a length of (5x+7) and a width of (3x-3).
What is the area of the tennis court?
I'm lost can someone help me please?
Answer:
x=13
y=32
Step-by-step explanation:
x+y=45
x+19=y
45-y+19=y
2y=64
y=32
x=13
Answer: The other number is 19 more than that number represented by x + 19
Equation: x + (x + 19) = 45
The numbers are 13 and 32
Step-by-step explanation:
So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19
Equation: x + (x + 19) = 45
2x + 19 = 45
2x = 26
x = 13
Plug x back into the equation to find the second number (x + 19)
x + 19
13 + 19 = 32
Write the simplest form of this ratio and its method.
2/3 : 3/2 : 5/8
Answer:
16 : 36 : 15
Step-by-step explanation:
2/3 : 3/2 : 5/8
multiply each term by the lowest common denominator: 24
16 : 36 : 15
Find the area of this circle. Use
3.14 for it.
96 mm
Answer:
28938.24
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
= 3.14 x [tex]96^{2}[/tex]
= 28938.24
Please mark brainliest:)
The relationship between the distance biked and time for Jeremy can be represented by the equation y = 12x, where he biked y miles in x hours. Below is a table that represents the number of hours and miles Kevin rides.
Time in hours (X) Distance in miles (y)
1.5 8.25
2 22
3.5 19.25
4 33
A third biker, Lauren rides twice as fast as Kevin. Use Y to represent the number of miles Lauren travels in x hours. Assume all bikes ride at a constant rate.
Which Statement accurately compares the biking speed of Lauren to Kevin and Jeremy?
a) The biking speed of Lauren is greater than the biking speeds of both Kevin and Jeremy.
b) The biking speed of Lauren is less than the biking speeds of both Kevin and Jeremy.
c) The biking speed of Lauren is greater than the biking speed of Kevin and less than the biking speed of Jeremy.
d) The biking speed of Lauren is less than the biking speed of Kevin and greater than the biking speed of Jeremy.
Answer:I put c I have the same question I'm doing a test
Step-by-step explanation:
Answer:
answer=c
Step-by-step explanation:
is the right answer
Enter the value of p so that the expression (7 + 4n)3 is equivalent to 3 (4n + p).
I NEED HELPPP
Answer:
7
Step-by-step explanation:
Makes both expressions exactly identical and equivalent in value.
Which values of x and y make triangle CDE = triangle HFG?
Answer:
Option (4)
Step-by-step explanation:
By the property of congruence of the triangles given in the figure,
ΔCDE ≅ ΔHFG
By applying triangle sum theorem in ΔCDE,
m∠C + m∠D + m∠E = 180°
32° + 112° + m∠E = 180°
m∠E = 180° - 144°
m∠E = 36°
Corresponding side and angles of two congruent triangles are equal in measure.
Therefore, m∠E = m∠G
36° = (4y + 8)°
4y = 36 - 8
4y = 28
y = 7
Similarly, FG = DE
41 = 3x + 2
3x = 41 - 2
3x = 39
x = 13
Therefore, Option (4) will be the correct option.
Help please! I would really appreciate it!!!
Answer:
the output is n+5
Step-by-step explanation:
3+5
4+5
8+5
n+5
help plsss...........
Answer:
A=1125
A=h(b) b /2 OR 0.5 * b * h
A student measures the volume of a rubber stopper and finds that it is 36ml. The
teacher also measures the stopper and obtains a value of 40 ml. Other students
measure the stopper and it is decided to use 38 ml as the standard value for the
volume of the stopper. What was the student's percentage error? The teachers
error?
Answer:
the answer should be 5 I guess
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related? The surface areas are the same. The surface area of the larger prism is 2 times the surface area of the smaller prism. The surface area of the larger prism is 4 times the surface area of the smaller prism. The surface area of the larger prism is 8 times the surface area of the smaller prism.
we know that
if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar
then
the scale factor is equal to
so
substitute the value of the scale factor
therefore
the answer is the option
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller prism.
Find the area of the circle. Round your answer the nearest whole number, if necessary.
area: about
in.2
Answer:
Area = 314 in.²
Step-by-step explanation:
Radius of the circle = 10 in.
Formula for area of a circle = πr²
Radius (r) = 10 in.
Plug in the value of r into the formula
Area = π*10²
Area = π*100
Area = 314.159
Area = 314 in.² (nearest whole number)
Answer:
The area of circle is 314 in².
Step-by-step explanation:
Given :
Radius of circle = 10 in.To Find :
Area of circleUsing Formula :
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the area of circle by substituting the values in the formula :
[tex] \begin{gathered} \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10)}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10 \times 10)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(100)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times 100}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 100}}} \\ \\\qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{\cancel{100}} \times \cancel{100}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 314 \: {in}^{2}}}} \\ \\ \qquad\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = 314 \: {in}^{2}}}}}}}\end{gathered}[/tex]
Hence, the area of circle is 314 cm².
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
3
Select the correct answer.
markup = original cost × percentage markup
selling price = original cost + markup
The manufacturing cost of a cell phone was $124. Sellers first marked up the cost by 20 percent. Sales were poor, so sellers decreased the markup to 15 percent. Calculate the old and new selling prices.
A.
old price: $170.00; new price: $148.80
B.
old price: $142.60; new price: $148.80
C.
old price: $148.80; new price: $142.60
Answer:
The answer is B
Explaining why it is:
Step-by-step explanation:
Hola como estan?Amblo en español y en portugués
Answer:
¡Hola! Estoy bien y ese es un lindo cachorro
Step-by-step explanation:
What is the area of the real object that the scale drawing models?
Scale factor 1.3
Area 20 square Scale drawing Object
A. 60 square cm
B. 20 square cm
C. 120 square cm
D.180 square cm
Answer:
c: 120
Step-by-step explanation:
(ii)
ן
(
Solve 11-Jx+4 = 0 for real
Question for 1 B)
Answer:
x = 117
Step-by-step explanation:
Given
11 - [tex]\sqrt{x+4}[/tex] = 0 ( subtract 11 from both sides )
- [tex]\sqrt{x+4}[/tex] = - 11 ( square both sides )
(- [tex]\sqrt{x+4}[/tex] )² = (- 11)²
x + 4 = 121 ( subtract 4 from both sides )
x = 117
Grace is planning to install grass in the yard shown above. She will not be putting the grass in the two circular flower beds or the rectangular pool.
For this part of the question find the area of the 2 circular flower beds, use 3.14 for pi and round your answer to 2 decimal places.
Answer:
5.39
Step-by-step explanation3.14
Rewrite in simplest terms: 3g-5(-3g+7)3g−5(−3g+7)
Answer:
Step-by-step explanation:
What is the area of the following figure?
Answer:
what figure there is no picture
to know the area of
Amplitude and Period
What is the period of the sine function y = sin (4x) ?
a. /pi
b. 2
c. /pi/2
d. /pi/4
Please select the best answer from the choices provided
Answer:
c. /pi/2
Step-by-step explanation:
[tex]y = \sin(4x) \\ y = 2\pi \omega[/tex]
Option C , pi/2 is the period of the sine function y = sin (4x)
What is Amplitude ?The amplitude of a periodic variable is a measure of its change in a single period.
The amplitude of a non-periodic signal is its magnitude compared with a reference value.
sin4x=sin(4x+4h)
sin(θ+2π)=sinθ , we have 4h=2π , h=π/2
or it can be also understood as
The amplitude and period of y = a sin (bx + c ) are a and 2π/b
Here, a = 1 and b = 4.
This sine wave oscillates between the crests at y = 1 and the lowest points at y= -1 periodically, with period π/2 for one full wave.
period of sin(4x) is (1/4)x(period of sin(x))
= (1/4)x(2pi)
= (pi/2) .
To know more about Amplitude
https://brainly.com/question/8662436
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In selecting one card from a deck of cards is obtaining a queen and obtaining a 2 mutually exclusive events?
A: Yes/True
B: No/False
Answer:
Mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other.
Since in this question, we have selected one card from a deck, and is obtaining a 2 and a queen.
I think the answer for this would be No/False but if i'm wrong, tell me!
Describe the solution in words to the inequality 4
Answer:
Full problem or picture?
find the measure of each angle indicated
a. 33
b. 36
c. 31
d. 136
Answer:
31
Step-by-step explanation:
Let the missing angle be x.
Sum of angles in a triangle is supplementary,
x + 20 + 129 = 180
x + 149 = 180
x = 180 - 149
x = 31
Answer:
31
Step-by-step explanation:
A triangle is 180 degrees.
129 + 20 = 149
180 - 49 = 33
URGENT QUESTION.
The graph represents all solutions to an inequality
Please tell me the answer to this question. It is urgent...
Answer:
The answer is D. -9 and -3
Step-by-step explanation:
since the graph starts at 1 and goes backwards, it cant be 1. so that rules out A. and B. then it requires the numbers to be negative because if they are a whole number over 1, they don´t fit the inequality. I hope this helps :))
Finished goods inventory is $197,000. If overhead applied to these goods is $72,000, and the overhead rate is 150% of direct labor, how much direct materials cost was incurred in producing the inventory
Answer:
77,000
Step-by-step explanation:
If 72,000 is 150% of direct labor, then direct labor is 48,000 (72000/1.5)
direct labor 48000
overhead. 72000
total. 120,000
total costs: 197,000
less total above: 120,000
=material costs. 77,000