Answer:
4
Step-by-step explanation:
4 sheets of plywood X 9$=36$
60$-36$=24$
24$ is left over to buy boxes of nails at 5$ each
24/5=4.8
Derek can buy 4 boxes of nails.
A large car dealership claims that 47% of its customers are looking to buy a sport utility vehicle (SUV). A random sample of 61 customers is surveyed. What is the probability that less than 40% of the sample are looking to buy an SUV?
Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
47% of its customers are looking to buy a sport utility vehicle (SUV), hence p = 0.47.A sample of 61 customers is taken, hence n = 61.The mean and the standard error are given by:
[tex]\mu = p = 0.47[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639[/tex]
The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.47}{0.0639}[/tex]
Z = -1.095
Z = -1.095 has a p-value of 0.1368.
0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
100 points! Please help find the direction!
The direction will be resultant
A=11iB=20i+9√3jNow
R=√A²+B²+2ABcos60R=√(11i)²+(20i+9√3j)²+2(11i)(20+9√3j)(1/2)R=√1155.5R≈33.98°Find the sum of 3.0478 and 4.92 using the correct number of significant digits.
A. 7.967
B. 7.97
C. 7.9
D. 8
Answer:
Since the least number of digits in the number is 2 decimal places
Round 3.0478 to 2 dp
3.05+4.92=7.97
B is the answer
Step-by-step explanation:
Give brainliest please
Answer:
B
Step-by-step explanation:
.nxmdmxmxmdmmddmm mcmcmfmfmcmxmcmc fnnffn
Answer:
what do you want to ask brother...
Step-by-step explanation:
or you post this by mistake.....
PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!
Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle
Answer:
Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.
Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.
Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]
Let OM = x and ON = 6 - x
Consider ΔOMB
By Pythagoras theorem,
OM2 + MB2 = OB2
x2 + 2.52 = OB2
x2 + 6.25 = OB2..................(1)
Consider ΔOND
By Pythagoras theorem,
ON2 + ND2 = OD2
(6 - x)² + 5.52 = OD2
36 + x2 - 12x + 30.25 = OD2
x2 - 12x + 66.25 = OD2............... (2)
OB and OD are the radii of the circle. Therefore OB = OD.
Thus, OB2 = OD2
Equating (1) and (2) we get,
x2 + 6.25 = x2 - 12x + 66.25
12x = 60
x = 5
Substituting the value of x in (1),
OB2 = x2 + 6.25
OB2 = 52 + 6.25
OB2 = 31.25
OB = 5.59 (approx.)
Thus, we get the radius of the circle = 5.59 cm.
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x as X^2. DO
not include "G(x) =" in your answer.
The equation of the graph G(x) is (x - 4)^2 + 1.
We have given the graph below have the same shape.
We have to find the equation of the graph g(x).
We have to find the equation of g(x) by using the phase shifting.
What is the shifting of the graph?A shift is a rigid translation in that it does not change the shape or size of the graph of the function.
Here we can see that the vertex of the graph in f(x) is (0,0) and the
vertex of the graph is g(x) is (4,1)
Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].
and is shifted upward one unit therefore we get
[tex]G(x)=(x-4)^2+1[/tex]
Therefore we get the graph of g(x)= (x - 4)^2 + 1.
To learn more about the shift of graph visit:
https://brainly.com/question/24457739
#SPJ1
Puzzle Two
Determine the volume of the following spheres with the given dimensions. To break
the code find the mean of all your answers. Round your answers to the hundredth
place. Use 3.14 for an approximation for pl.
1)
3)
18 in
3 cm
2)
4).
10
42 in
Code:
B
The volume of a sphere is the amount of space in it
The volumes of the spheres are 24416.64, 113.04 and 310181.76
How to determine the volume of the spheres?The volume of a sphere is calculated using:
V = 4/3 πr^3
When the radius, r = 18, we have:
V = 4/3 * 3.14 * 18^3
V = 24416.64
When the radius, r = 3, we have:
V = 4/3 * 3.14 * 3^3
V = 113.04
When the radius, r = 42, we have:
V = 4/3 * 3.14 * 42^3
V = 310181.76
Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76
Read more about volumes at:
https://brainly.com/question/1972490
At andres birthday party 3 pizzas were ordered for lunch. Each pizza was divided into 8 equal slices. Each child ate 2 pieces and there were 2 pieces left how many children were at the party?
Answer: I dont know if im right for sure but the answer should be 4
Step-by-step explanation
8 goes into 2 4 times (8 divided by 2 = 4)
Each child ate 2 pieces (4-2=2)
so therefore for it to be 2 pieces left over there were 4 kids I think.
Answer:
11
Step-by-step explanation:
So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️
1 pizza= 8 slices
3 pizzas = x
you cross multiply it and it will end up as 3×8= 24 slices.
now each kid ate 2 pieces and there was a leftover of 2
therefore, 24-2= 22 pieces divided 2 is 11
or; 3×8=24-2=22÷2=11
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
27
area: ? square units
circumference: ? units
As Per Provided Information
Diameter of Circle is 27 units
Radius will be 27/2 units
Radius will be 13.5 units
Calculating Area of circle.
[tex] \boxed{ \qquad\huge\sf \:Area_{(Circle)} \: = \pi {r}^{2}}[/tex]
[tex] \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times {13.5}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} \: = 572.3 \: square \: units[/tex]
Now finding the circumference of the circle.
[tex]\qquad\boxed{\huge\sf \: Circumference_{(Circle)} = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_{(Circle)} = 2 \times 3.14 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 6.28 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 85 \: units[/tex]
Step-by-step explanation:
Given :- Diameter of circle :- 27 units , radius :- 13.5 units
Area :- πr²
Area :- 3.14×13.5²
Area :- 572.265
rounding off to nearest hundredth = 572.3 sq. units
Circumference :- 2πr
= 2 ×3.14 × 13.5 units
= 84.78 units
rounding off to nearest hundredth = 85 units
PLEASE HELP: PICTURE ATTACHED
Multiply 80 by number of copies sold and add to her salary:
P = 80N + 1700
Now replace N with 26:
P = 80(26) + 1700
P = 3,780
Answer:
P=1,700+80n
Total Pay if Yoko sells 26 Copies; 3,780
Hope This Helps! :) Please Mark Brainliest!
Which inequality represents the sentence below?
HURRY
Two more than a number is less than 14. 2+
Answer:
2 + n < 14 is the inequality please
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations
Answer:
-4 is your final answer in it
can somebody help me im confused
solve the equation
Check the picture below.
the assumption is that the graph keeps on going all the way to ±infinity.
Bear in mind that the interval notation is referring to the endpoints on the x-axis.
Can y’all figure out the answer for me please
The answer is A. True.
Hope this helps
Answer:
True
Step-by-step explanation:
Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
ALGEBRA 2:
"As you may know, Ms. Gran is our hottest movie star of the century. This agency considers it our good fortune to have her as one of our clients. Since she is in such big demand the movie studio of ILM will do anything to get her under contract. Because of this, they have sent over three different contracts for her. Since math was your favorite subject in school, I am asking that you analyze the three contracts to help Ms. Gran make the best financial decision. When you have completed your analysis, I need you to send a report to Ms. Gran explaining what you think is in her best interest to sign."
Contract A:
$20 for a 1 day contract
$40 for a 2 day contract
$80 for a 3 day contract, etc.
Contract B:
$0.02 for a one day contract
$0.06 for a two day contract
$0.18 for a three day contract, etc.
Contract C:
$100,000 for a 1 day contract
$200,000 for a 2 day contract
$300,000 for a 3 day contract, etc
Step-by-step explanation:
it is 300,000 for a 3 day contract
Divide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3
The line 1, has equation 3x + 5y – 2 = 0.
(a) Find the gradient oflı.
Answer:
2
Step-by-step explanation:
because of your options
A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
Given Information :-
⠀⠀
A man earns rs. 9600He saves Rs. 2400⠀
To Find :-
⠀
The percentage of amount he spends⠀
Solution :-
⠀
To find the percentage of expenditure, we must know how much amount does he really spend, thus :
⠀
➥ Expenditure = Earnings - Savings
➥ Expenditure = Rs. 9600 - Rs. 2400
➥ Expenditure = Rs. 7200
⠀
Now, we can find the percentage,
⠀
[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the percentage of his expenditure is 75%.
⠀
[tex] \underline { \rule{227pt}{2pt}}[/tex]
⠀
Answer:
5%
Step-by-step explanation:
Earns= Rs 640
Spends= Rs 608
Saves= (Rs 640 - Rs 608) =Rs 32
therefore, 32/640x100
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
Answer:
She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds
Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.
Answer:
x = - 9, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-7+2y[/tex]
[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]
[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-7+2y[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=-7+2\left(-1\right)[/tex]
[tex]x=-9[/tex]
[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]
[RevyBreeze]
Answer:
x = -9, y = -1
Step-by-step explanation:
Solution:
If x = -7+2y
Then
-3(-7+2y)-2y=29
Simplify
21 - 8y = 29
And if x = -7+2y
Simplify
y = -1
x = -7+2(-1)
x = -9
Hence, x = -9 and y = -1
~lenvy~
6. following activities: has 9 hours of free time on Sunday, find how much time he spends on the The circle graph shows the percentage of Nathan's free time on Sunday. If Nathan 1. Percent spent on Reading: Free Time % 2. Time spent on Reading: Drawing Reading 25% 3. Time spent on Drawing: 4. Time spent Exercising: Watching Television 25% Exercising 30% 5. Time spent watching TV:
Answer: add them
Step-by-step explanation: your welcome to get a tutor
6/7*(11/18-5/12) pls help: fraction form, please
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
Solve for x
3x – 2 = 2x – 4
Answer: x= -2
Step-by-step explanation:
3x – 2 = 2x – 43x-2x= -4+2x= -2What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
X-3
X-1
X+1
X+2
Answer:
x - 1
Step-by-step explanation:
The graph touches the x-axis at x = 1, its factor would be (x - 1)
Which figures below have perpendicular lines?
1
2
3
4
5
6
7
Answer:
Square, purple triangle, and red arrow
Step-by-step explanation:
PLEASE HELP! I WILL MARK BRAINLIEST AND MARK 5 STARS! THANK YOU!
Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
Number 1. Don’t worry about the other stuff well you can the other stuff if you want I don’t know them either
Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:
1. x = 75°; y = 85°, z = 210°
2. x = 38°
3. x = 143°
What is the Angles of Intersecting Tangents Theorem?The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.
What is the Angles of the Intersecting Chords Theorem?The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)
1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)
x = 75°
y = 180 - 95 = 85°
z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]
m(HEF) = 210°
2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]
x = 1/2(76)
x = 38°
3. x = 1/2(146 + 140) [angles of intersecting chords theorem]
x = 1/2(286)
x = 143°
Learn more about circle theorems on:
https://brainly.com/question/26403793
Amy bought 14 pounds of rice for $6. How many pounds of rice did she get per dollar?
Answer:
2.3?
Step-by-step explanation:
i just divided it 14 ÷ 6
