Answer:
The question is incomplete, below is the complete question:
The volume of a flask has been determined to be 26.918 mL, and the mass of the flask has been determined to be 32.634g. The student then emptied the flask and dried it once again. To the empty flask, he added pieces of metal until the flask was about half full. He weighed the stoppered flask containing the metal and found that its mass was 100.356g. Next, he filled the flask containing the metal with water, stoppered it, reweighed it and obtained a total mass of 121.860g.
a.) Find the mass of the metal in the flask. (show work)
b.) Find the mass of water in the flask. (show work)
c.) Find the volume of water in the flask. (show work)
d.) Find the volume of metal in the flask (show work)
e.) Find the density of the metal. (show work)
Answers:
a. mass of metal in the flask = 67.722g
b. mass of water in the flask = 21.504g
c. volume of water in the flask = 21.562mL
d.) volume of metal in the flask = 5.356mL
e.) density of the metal = 12.644g/mL
Step-by-step explanation:
a.) mass of metal in the flask = (mass of flask + metal) - mass of empty flask
= 100.356 - 32.634 = 67.722g
b.) mass of water in the flask = (mass of flask when filled with metal and water) - (mass of flask when filled with metal alone)
= 121.860 - 100.356 = 21.504g
c. volume of the water in the flask :
in order to calculate the volume of water in the flask, the density formula is used as follows:
density = mass ÷ volume
volume = mass ÷ density.
where:
Density of water = 0.9973 g/mL
Mass of water as calculated above = 21.504g
∴ volume of water = 21.504 ÷ 0.9973 = 21.562mL
d.) volume of the metal in the flask:
Next, to calculate the volume of the metal in the flask:
volume of flask = volume of metal + volume of water
∴ volume of metal = volume of flask - volume of water
where:
volume of flask = 26.918mL (given)
volume of water = 21.562mL (calculated above)
∴ volume of metal = 26.918 - 21.562 = 5.356mL
e.) density of the metal:
Density = mass ÷ volume
where:
mass of metal = 67.722g ; volume of metal = 5.356mL
∴ Density of metal = 67.722 ÷ 5.356 = 12.644g/mL
Find the average variable cost for producing 42 sneakers. Round your answer to the nearest hundredth.
Answer:
The average variable cost for producing 42 sneakers is $2.98 per unit.
Step-by-step explanation:
We have, for 42 sneakers, the following costs:
Fixed costs: $118Variable costs: $125The total cost for 42 snickers is $243.
The average variable cost can be calculated dividing the total variable cost by the number of units.
This, for 42 snickers, is:
[tex]\bar{vc}=\dfrac{VC}{q}=\dfrac{125}{42}\approx2.98[/tex]
In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & What is the probability the 'word will begin with L and end with a vowel?
Answer:
20160 ways
Probability = 0.0556
Step-by-step explanation:
We have 9 different letters, so the total number of words we can make is:
[tex]Total = 9! = 362880\ words[/tex]
If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:
[tex]N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words[/tex]
The probability is calculated by the division of the number of words we want over the total number of words:
[tex]P = N / Total = 20160 / 362880 = 0.0556[/tex]
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degrees°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0degrees°C (denoted by negative numbers) and some give readings above 0degrees°C (denoted by positive numbers). Assume that the mean reading is 0degrees°C and the standard deviation of the readings is 1.00degrees°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places.
Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between 8:25 AM and 3:30 PM on both days? a) O 0.2951 b) 0.9137 c) 0.0871 d) 0.2938 e) 0.0863 f) None of the above.
Answer:
c) 0.0871
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d is given by the following formula.
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
On a single day:
24 hours, so [tex]a = 0, b = 24[/tex]
8:25 P.M. is 8:25 = 8.4167h
3:30 P. M. is the equivalent to 12 + 3:30 = 15:30 = 15.5h
Probability of rain between these times:
[tex]P(8.4167 \leq X \leq 15.5) = \frac{15.5 - 8.4167}{24 - 0} = 0.2951[/tex]
On both days:
Two days, each with a 0.2951 probability
0.2951*0.2951 = 0.0871
The correct answer is:
c) 0.0871
A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month?
Answer:
3 GB
Step-by-step explanation:
Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB
18% as a fraction and percentage
Answer:
9/50 and 18%.
Step-by-step explanation:
18% is already a percentage.
To convert this into a fraction, put the number over 100:
18/100. Simplify:
=9/50
Note: The decimal form will be 0.18.
Step-by-step explanation:
18 % as a fraction: 18/100
18% as a percent: 18/100 ×100
Need Help With This
Answer:
Area: 28 square ft
Perimeter: 22 ft
Step-by-step explanation:
To find the area:
A=Lw
A is area, L is length, w is width
A=4*7
A=28
The area is 28 square feet
To find the perimeter:
P=2L+2w
P=2(7)+2(4)
P=14+8
P=22
The perimeter is 22 feet.
Hope this helps!
Mandy and Priscilla shared a packet of stickers.At first, the number of stickers Mandy had was 1/4 of the number of stickers Priscilla had. When the girls bought another 28 stickers each, the number of stickers Priscilla had was 1/5 more than the number of stickers Mandy had. How many stickers were there in the packet? Solve if you can, using ALGEBRA ONLY, pls.
Answer:
10 stickers.
Step-by-step explanation:
Let's say that Mandy has m stickers, and Priscilla has p stickers.
m = 1/4p
6/5(m + 28) = p + 28
6/5(1/4p + 28) = p + 28
1/4p + 28 = 5/6p + 23 and 1/3
5/6p - 1/4p = 28 - 23 and 1/3
10/12p - 3/12p = 84/3 - 70/3
7/12p = 14/3
p = (14/3)(12/7)
p = 8
At the beginning, Priscilla had 8 stickers. That means that Mandy had 1/4 * 8 = 8 / 4 = 2 stickers.
So, in the packet, there were 8 + 2 = 10 stickers.
Hope this helps!
Which of the following are the four primary principles of experimental design? Check all that apply.
A. Blindness
B. Control
C. Replication
D. Blocking
E. Randomization
The sum of the reciprocals of two consecutive even integers is 9/40. Find the integers. smaller integer larger integer
Answer:
8 and 10
Step-by-step explanation:
2x and 2x+2 the integers
1/2x+1/(2x+2)= 9/401/x+1/(x+1)=9/20(x+x+1)/(x*(x+1))= 9/209x²+9x= 20(2x+1)9x²-31x-20=0x= 4 integer solutionSo the numbers are 8 and 10
Answer:
Smaller integer is 8, larger one is 10.
Step-by-step explanation:
Let one integer be x then the other is x+2, so from the given information:
1 /x + 1 / x+2 = 9/40
Multiply through by 40x(x+2);
40(x + 2) + 40x = 9x(x + 2)
80x + 80 = 9x^2 + 18x
9x^2 - 62x - 80 = 0
(9x + 10)(x - 8) = 0
x = 8, -1.1111
x must be 8 so the other one is 8+2 = 10.
F(x)=|x+3|-1 range and domain
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
If a population proportion is believed to be 0.60, how many items must be sampled to ensure that the sampling distribution of the sample proportion will be approximately normal
Answer:
[tex]n \geq 42[/tex]
Step-by-step explanation:
Data provided
P = 0.6
The calculation of sample size is shown below:-
Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-
[tex]np\geq 10\ and\ np (1 - p)\geq 10[/tex]
Now we will consider condition 2
[tex]np(1 - p)\geq \ 10[/tex]
[tex]n(0.6) (1 - 0.6) \geq \ 10[/tex]
[tex]n(0.6) (0.4) \geq\ 10[/tex]
[tex]n\geq \frac{10}{0.24}[/tex]
[tex]n \geq 41.66667[/tex]
or
[tex]n \geq 42[/tex]
Therefore for computing the required sample size we simply solve the above equation.
If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that m
Answer:
M = 90 for a sample of n = 100
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
Which ordered pair can be removed so that the resulting graph represents a function (-2, 2) (1, 3) (5, -4) (-4, -4)
Answer:
D: (-4,-4)
Step-by-step explanation:
x and y cant be the same
Answer:
b. (1,3)
Step-by-step explanation:
Take the risk!
I NEED HELP PLEASE, THANKS! :)
Answer:
x = 6.
Step-by-step explanation:
The general form is r = ep / (1 + e cos Ф)
where e is the eccentricity, p is the distance of the directrix from the focus.
Changing our formula to the above we divide top and bottom by 4:
r = (26.4)/ 4 / (4/4 + 4.4/4 cos Ф)
r = 6.6 / (1 + 1.1 cos Ф)
e is > 1 so we have an hyperbola here.
e = 1.1 and ep = 6.6
giving p = 6.6 / 1.1 = 6.
The equation of the directrix is x = 6.
Simplify. (-2)^-3 please help
Answer:
Exact Form:
- 1 /8
Decimal Form:
-0.125
Answer:
- 1/8
Step-by-step explanation:
- 2⁻³ =
= - 1/2³
= - 1/8
Cathy conducted an experimentin which she placed red, yellow, blue, and orange pieces of paper in a hat and drew them out without looking. The number of times Cathy drew each color is shown in the table above. What is the experimental probability that the next slip of paper Cathy draws will be orange?
Answer:
28/55
Step-by-step explanation:
First thing you do is add up all of the data values.
This is the total of everything you can draw.
in this case it would by 55.
We set this as the denominator and set the numerator to the ammount of times orange has been drawn.
This would result in our answer.
Hope this helps!
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts. Each works 6 hours per day. a. Together, what is the maximum number of pounds of coffee beans the two can pick in a day
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Together they can pick a maximum of 36 pounds of coffee
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
given:
Susan can pick 4 pounds of coffee or 2 pounds of nuts.
Tom can pick 2 pounds of coffee or 4 pounds of nuts.
So, In 6 hours
Susan will pick
= 4 * 6
= 24 pounds of coffee.
In 6 hours,
Tom will pick
=2 * 6
= 12 pounds of coffee.
Hence, together they can pick a maximum of 36 pounds of coffee
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Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?
Answer:
Step-by-step explanation:
If x is increased by 50%, it means that the amount by which x is increased is
50/100 × x = 0.5 × x = 0.5x
The new value of x would be
x + 0.5x = 1.5x
If the new value is further decreased by 30%, it means that the amount by which it was decreased is
30/100 × 1.5x = 0.3 × 1.5x = 0.45x
The new value of x would be
1.5x - 0.45x = 1.05x
Therefore, the result is 1.05x
Write the equation of each line in slope intercept form (If possible please show work)
Answer:
y= -2/3 x - 9
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -2/3 x+b
We have a point to substitute into the equation
-5 = -2/3(-6) +b
-5 = 4 +b
Subtract 4 from each side
-5-4 = 4-4+b
-9 = b
y= -2/3 x - 9
cube root of 99 is 4.626 find the cube root of 792
Answer:
the answer is: 9.25
Step-by-step explanation:
the cube root of 792 is approximately 9.252.
To find the cube root of 792, we can use the relationship between cube roots and cube numbers.
If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.
Let's calculate the cube root of 792 using the relationship:
(cube root of 792) = (cube root of 99) * (cube root of 8)
Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:
(cube root of 792) = (4.626) * (cube root of 8)
Now, we need to find the cube root of 8:
(cube root of 8) = 2
Substituting this value back into the equation, we get:
(cube root of 792) = (4.626) * (2) = 9.252
Therefore, the cube root of 792 is approximately 9.252.
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if f(x) = 2x-1 and g(x) =3x + 5, what is the f(g(5)
Answer:
39
Step-by-step explanation:
g(5) = 3(5) + 5 = 20
f(20) = 2(20) - 1 = 39
Answer:
f ( 2 x + 1 ) = 6 x − 2
Step-by-step explanation:
Set up the composite result function.
f ( g ( x ) )
Evaluate f ( g ( x ) )
by substituting in the value of g into f
. f ( 2 x + 1 ) = 3 ( 2 x + 1 ) − 5
Simplify each term.
Apply the distributive property.
f ( 2 x + 1 ) = 3 ( 2 x )+ 3 ⋅ 1 − 5
Multiply 2 by 3 .
f ( 2 x + 1 ) = 6 x + 3 ⋅ 1 − 5
Multiply 3 by 1 .
f ( 2 x + 1 ) = 6 x + 3 − 5
Subtract 5 from 3 . f ( 2 x +1 ) = 6 x− 2
Fill in the green box.
Answer:
y=6solution,
Similar Right triangles:
[tex] \frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6[/tex]
Hope this helps..
Good luck on your assignment..
Answer:whats the measure of x i really need help
Step-by-step explanation:
Find the missing side of the triangle.
11 yd
10 yd
Answer:
Step-by-step explanation:
a^2+b^2=c^2
assuming that 11 and 10 are the shorter sides of the triangle
11^2+10^2=c^2
121+100=c^2
221=c^2
[tex]\sqrt{221}=\sqrt{c^2}[/tex]
this will equal 14.87 approximately
The missing side of the triangle is √221 yd .
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
11² + 10² = c²
c² = 121 + 100
c² = 221
c = √221 yd
Therefore, the correct answer is √221 yd .
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Using rigid motion, which statement is true
about the triangles?
Answer:
The triangles are not congruent
Step-by-step explanation:
Triangle ABC is congruent to triangle DEF
Triangle ABC is congruent to triangle FED
Two trianges ABC and DEF are given on a coordinate plane
Which is an expression in square units that represents the area of the shaded segment of C. Geometry
Answer:
[tex] \frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)[/tex]
option D is the right option.
solution,
Area of shaded region:
Area of sector-Area of ∆
[tex] = \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)[/tex]
Hope this helps...
Good luck on your assignment..
The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
Calculation of the expression:Since we know that
The area of the shaded region = Area of the sector - an area of a triangle
So,
[tex]= \frac{90}{360} \times \pi r^2 - \frac{1}{2} \times r\times r\\\\ = \frac{1}{4}\pi r^2 - \frac{1}{2}r^2 \\\\= \frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
hence, The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
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True or False?
2+3x=5
If x is 1.1?
Answer:
False
Step-by-step explanation:
2 + 3x = 5
Put x as 1.1.
2 + 3(1.1) = 5
2 + 3.3 = 5
5.3 = 5
False.
Answer:
FalseSolution,
X=1.1
[tex]2 + 3x = 5 \\ 2 + 3 \times 1.1 = 5 \\ 2 + 3.3 = 5 \\ 5.3 = 5 \: \: \\ hence \: it \: is \: false[/tex]
Express as a ratio in the lowest term
1. 360 metres to 3 kilometres
2. 2 minutes to 14 seconds
Answer:
1. 3:25
2. 60:7
Step-by-step explanation:
To express the ratio in the lowest terms:
1. 360 metres to 3 kilometres
First of all, we need to convert both the terms in same unit.
Let us convert kilometres to metres for simplicity.
We know that 1 km = 1000 m
So, 3 km = 3000 m
Hence, the ratio can be represented as:
[tex]360\ m: 3000\ m\\\Rightarrow \dfrac{360}{3000}\\ \\\text{Dividing by 10:}\\\Rightarrow \dfrac{36}{300}\\\\\text{Dividing by 12:}\\\Rightarrow \dfrac{3}{25}\\\Rightarrow 3:25[/tex]
So, the simplest ratio is 3:25.
2. 2 minutes to 14 seconds
Converting minutes to seconds.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the ratio can be written as:
120 seconds : 14 seconds
Dividing by 2:
60:7
So, the simplest form is 60:7.
The answers are:
1. 3:25
2. 60:7
Solve Two-thirds x minus one-fifth greater-than 1. x >
Answer:
x > 9/5Step-by-step explanation:
The above statement is written as
[tex] \frac{2}{3} x - \frac{1}{5} > 1[/tex]
Multiply through by the LCM of 3 and 5 which is 15
So we have
[tex]15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} [/tex]
Hope this helps you
Answer: The answer is x > 9/5.
Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is y−x?
Answer:
-0.7
Step-by-step explanation:
[tex]x-y=0.7[/tex]
You can choose any digits you wish for [tex]x[/tex] and [tex]y[/tex] but the difference must be 0.7. I chose 1.0 and 0.3.
[tex]x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7[/tex]