Answer:
477
Step-by-step explanation:
Answer:
477 ounces
Step-by-step explanation:
318 divided by 12 ounces= 26.5 so that would be one ounce,
therefore, it you times 26.5 by 18 you would get 477
:)
A man orders5 times as many boxes of ballpoint pens as boxes of felt tip pens. Ballpoint pens cost $4.31 per box, and felt tip pens cost$3.44. If the mans order of pens totaled $99.96 how many boxes of each pen did he buy?
Answer:
76.38
Step-by-step explanation:
x = the number of boxes of felt tip pens
5x = the number of boxes of ballpoint pens
5x*4.41 + x*3.41 = 76.38
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
a. 400.
b. 900.
c. 1,300.
d. 1,600.
e. 2,100.
Answer:
d. 1,600.
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 - 0.99}{2} = 0.005[/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 - 0.005 = 0.995[/tex], so Z = 2.575.
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.
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.
This means that [tex]\sigma = 1.5[/tex]
Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.1\sqrt{n} = 2.575*1.5[/tex]
Multiplying both sides by 10
[tex]\sqrt{n} = 2.575*15[/tex]
[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]
[tex]n = 1492[/tex]
So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.
The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.
What is the margin of error?
The margin of error tells you how many percentages points your results will differ from the real population value.
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.
[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]
Now, we need to find z which is 1-α
[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]
The margin of error M
[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]
Here, [tex]\sigma[/tex] is the standard deviation of the population.
n is the size of the sample.
So,
[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]
Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.
Learn more about the margin of error here:
https://brainly.com/question/6979326
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Find the area. Simplify your answer.
Answer:
If you know what x is then you can add it to 1 multiply that by 7 to get the answer then simplify, since you cannot simplify whole numbers you know that it is a decimal. To simplify a decimal remove the decimal point and reduce the ratio to a ratio of whole numbers. Multiply the numerator and denominator of the ratio in fraction form by a 10, 100, 1000 i.e., a power of ten to eliminate the decimal. Then the fraction is simplified to be in its lowest terms.
Step-by-step explanation:
12.42 ÷ 4.6 = 0.4÷ 0.242= 1.404÷0.45=
Answer:
a)2.7
b)1.65289256
c)3.12
2x2 + 6x + 2 = 5x2 + 9x + 3
Answer:
−3
Step-by-step explanation:
Use the values of a,b, and c to find the discriminant. −3
Taylor Swift CD’s sell for $10 and Selena Gomez CD’s sell for $15. If a music store sold 18 CD’s and worth $240, how many of each CD did they sell?
Answer:
ts 24 sg 18
Step-by-step explanation:
Answer: she sold 6 of the Taylor Swift cd’s($10 cd’s) and 12 of the Selena Gomez cd’s ($15 cd’s)
Which expression is equivalent to 4 (x + 2)?
6 x
4 (x) + 4 (2)
4 (x) + 4
8x
Find the value of b. A. 14 B. 15 C. 64 D. 289
Answer:
B) 15
Step-by-step explanation:
8²+b²=17²
64+b²=289
b²=289-64
b²=225
b=√225
b=15
In triangle ABC, ∠A=120°, a=3, and b=2. Find angle ∠C to the nearest degree.
Answer:
Step-by-step explanation:
Use Law of Sines to find ∠B.
∠B = arcsin(b·sinA/a) ≅ 35°
∠C = 180°-∠A-∠B = 25°
solve for the following equation
6Y+4 = 4y-2
Answer:
y = -3
Step-by-step explanation:
6y +4 = 4y- 2
2y= -6
y= -3
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show your work (?) please
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.
Distance to Work (miles) Number of Days Absent
1 9
3 6
4 9
6 8
8 7
10 2
12 4
14 3
14 5
18 1
Required:
a. Develop the least squares estimated regression equation used to predict the number of days absent given a certain distance to work.
b. Is there a significant relationship between the two variables? Use α = 0.05.
c. Did the estimated regression equation provide a good fit? Explain.
d. Is the estimated regression equation appropriate and adequate?
e. Are there any outliers in the data? If yes, identify them.
Answer:
y = -0.43841X + 9.34565
Step-by-step explanation:
Given the data:
Distance to work (x) :
1
3
4
6
8
10
12
14
14
18
Y:
9
6
9
8
7
2
4
3
5
1
The least square estimated regression equtyol obtained using a linear regression calculator is :
y = -0.43841X + 9.34565
Yes, from the correlation Coefficient value, R which yields - 0.8444, shows they a strong linear relationship exists between the two variables.
The obtained regression equation is appropriate
Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.
Answer:
The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.
Answer:
CAN SOMEONE REMOVE THIS ANSWER.
Pleaseee brainliest
Answer:
2√2
Step-by-step explanation:
Answer:
uhhh ok im not 100% sure but i think its
Step-by-step explanation:
In ANOP, the measure of ZP=90°, NO = 83 feet, and OP = 49 feet. Find the measure of 20 to the nearest tenth of a degree.
Answer: 53.8
Step-by-step explanation:
Page 1
1. Find the common denominator for the
pairs of fractions given.
3/5 and 2/15
Answer:
15 is the answer. 3/5 with the denominater would be 9/15
Can someone help me with question #2 a, b, and c
Please and thank you
Answer:
A= 60, B= 33%, C= 66%
Step-by-step explanation:
A=60 because 1/3 of 180 is 60
B=33% because thats the closest you can get to 1/3 of 100 unless you wanna add .3 to it
C= Same explanation for B
On a certain day, the temperature outside dropped 5 degrees every hour for 4 hours. How much has it dropped after the 4 hours?
Answer:
OKay i did not get it but it should be 96 hours
Step-by-step explanation:
Factor 10x2 – 42x – 108.
Question 20 options:
A)
(5x + 9)(x + 6)
B)
2(5x + 9)(x – 6)
C)
(x + 9)(5x – 6)
D)
2(10x – 9)(x + 6)
Answer:
B
Step-by-step explanation:
You have to know how to factor polynomials.
2(5x^2-21x-54)
2(5x^2-30x+9x-54)
2(5x(x-6)+9(x-6))
2(5x+9)(x-6)
6 foot tall man has a 9 foot shadow at the same time a tree standing next to him as a 30 foot shadow how tall is the tree?
The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
From the right angle triangle,
The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.
6/9 = h/30
h = 20 feet
Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
Learn more about the right angle triangle here:
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Write a linear function f with the values f(0) = 5 and f(2)= -3.
f(x) =
Answer:
Step-by-step explanation:
A linear function has the form
y=mx+b, where m=slope and b=y intercept ( the value of y when x=0)
We are given the point (0,5) so we know b is 5. So we just need to find the slope m
m=(y2-y1)/(x2-x1), we have two points (0,5) and (2,-3)
m=(-3-5)/(2-0)
m=-8/2
m=-4 so our line is
y=-4x+5
Area and Perimeter Study Island
Answer:
C. 48
Step-by-step explanation:
since it's the perimeter is 112 and the width is 8 ft you add 8 + 8 which is 16 and then you subtract it by 112 which gives you 96 then you divide 96 / 2 which gives you the answer of 48
The trip to and from work each day is 8 7/8 miles. If John does this 5 days of week how many miles does he travel.
What is the sector area of a sector created
by circle with a radius of 2 m and a 140°
central angle.
Answer:
Area of sector = 4.88 m ²
Step-by-step explanation:
Given:
Angle = 140°
Radius = 2 m
Find:
Area of sector
Computation:
Area of sector = [θ/360][πr²]
Area of sector = [140/360][(22/7)(2)²]
Area of sector = 4.88 m ²
In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I
△ ABC ≅ △ QPR
△ ABC ≅ △ QRP
△ ABC ≅ △ RQP
Given:
In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.
To find:
The correct congruency statement for the given triangles.
Solution:
In △ABC and △PQR,
[tex]AB=QR=5\ cm[/tex] (Given)
[tex]BC=PQ=6\ cm[/tex] (Given)
[tex]AC=PR=8\ cm[/tex] (Given)
All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.
[tex]\Detla ABC\cong \Delta RQP[/tex] (SSS congruency postulate)
Therefore, the correct option is C.
4 Select the correct answer. Solve the system of equations. y= 4x + 5 y = x2 + 12x + 20
A. (-3,-7) (-5,-15)
B. (-3,-17) and (-5,-25) )
C. (-3,-15) and (-5,-7)
D. (3,17) and (5,-15)
need help asap pls
Answer: y= 4x + 5 y = x2 + 12x + 20 = y=4 x=0
Step-by-step explanation:
A=1 20
B= 440
C= 120
D= -240
Answer:
B) (-3,-17) and (-5,-25)
Step-by-step explanation:
Find the interior height of the pyramid. Round to the nearest tenths if necessary.
Answer: 6 in
Step-by-step explanation:
[tex]a^{2}= c^{2} - b^{2}[/tex]
[tex]a=\sqrt{10^{2}-8^{2} }[/tex]
a=6 in
In the accompanying diagram, PA is tangent to the circle at A and PC is a secant. If
PA = 8 and PB = 4, then BC =
Answer:
c. 12
Step-by-step explanation:
PA² = (BC + PB) × PB => tangent-secant theorem
PA = 8
PB = 4
BC = ?
Substitute
8² = (BC + 4) × 4
64 = 4BC + 16
64 - 16 = 4BC + 16 - 16
48 = 4BC
48/4 = 4BC/4
12 = BC
BC = 12
Determine the value of c, given that the graph of f(x) = cx^2 + 1/x^2
has a point of inflection at (1, f(1))
Answer:
The value of c is [tex]c = \frac{1}{3}[/tex]
Step-by-step explanation:
Point of inflection:
A function f(x) has a point of inflection at the values of x for which:
[tex]f^{\prime}(x) = 0[/tex]
Has a point of inflection at (1, f(1))
This means that [tex]f^{\prime}(1) = 0[/tex]
f(x) = cx^2 + 1/x^2
This means that, applying the derivative of a power rule:
[tex]f^{\prime}(x) = 2cx - \frac{2}{x^3}[/tex]
Since [tex]f^{\prime}(1) = 0[/tex]
[tex]2c - \frac{2}{3} = 0[/tex]
[tex]2c = \frac{2}{3}[/tex]
[tex]c = \frac{2}{2*3} = \frac{1}{3}[/tex]
The value of c is [tex]c = \frac{1}{3}[/tex]
These are the answers.
But reasons are not given.
Answer:
Looks like the book has fixed RHS while I have fixed LHS.