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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces
2e - 3(2e + 3) = 3e + 5
What is e?
[tex]\boxed{e\:=\:-2.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective
Answer:
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Five percent of all blue ray players manufactured by a large electronics company are defective.
This means that [tex]p = 0.05[/tex]
A quality control inspector randomly selects three players from the production line.
This means that [tex]n = 3[/tex]
What is the probability that exactly one of these three blue ray players is defective?
This is P(X = 1). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
4 Ten thousand +16 thousand +9 ones write in standard form
Answer:
4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009
Answer:
sorry i did not get i sorryt
-21. A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test mm versus mm, using the results of n 10 samples. (a) Find the P-value
Answer:
0.057
Step-by-step explanation:
To obtain the p value, we need to obtain the test statistic :
For a one sample test :
Test statistic is given by :
(xbar - μ) ÷ (σ/√(n))
(185 - 175) ÷ (20/√(10))
10 ÷ 6.3245553
Test statistic = 1.581
Qe used the Z distribution because we are working with the population standard deviation.
Using the Pvalue from test statistic calculator :
Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;
Pvalue = 0.0569
the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6
Answer:
If its x^2 + 3x - 1 it is not a factor.
Step-by-step explanation:
x^2+3x - 1 is a factor of x^3+2x^2-5x-6?
Try dividing:
x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6( x - 1
x^3 + 3x^2 - x
- x^2 -4x - 6
-x^2 - 3x + 1
- x - 7 <------- remainder.
Which is an equation of a circle with center at (7,0) and
radius 4?
Answer:
Step-by-step explanation:
Properties
Center:(7,0)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:4
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:8
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*4 = 25.1327412287183
The circumference of a circle is the distance around it.
Area:50.2654824574367
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
Equation
Standard Form
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
General Form
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
x2-14x+49+y20y+0=16
x2+y2-14x+0y+33=0 Referenced definitions
Chord A chord of a circle a line segment that joins two points on the circumference of a circle.
π The ratio of a circle's circumference to its diameter. Equal to 3.1415926535... (the digits go on indefinitely without repeating)
Circle a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).
The required equation of a circle will be (x - 7)² + y² = 16 with a center at (7, 0) and a radius of 4.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The center of the circle is given as (h,k) = (7, 0) which is given in the question
And radius r = 4
Substituting the given values into this equation gives us an equation of a circle with a center at (7, 0) and a radius 4:
(x - 7)² + (y - 0)² = 4²
Simplifying this equation gives us:
(x - 7)² + y² = 16
This is the equation of a circle with a center at (7, 0) and a radius of 4.
Learn more about the equation of a circle here:
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please help:
Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2
Answer is A y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.
Now, only the sec function has the property that;
y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
Learn more about finding the graphed function here:
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The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in experiment. which of these is most likely to be an extraneous factor that could also affect the time it takes to complete the race?
Answer:
A. Weather conditions
Step-by-step explanation:
in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this
Answer:
MINIMUM WAGE does not increase much over time
Step-by-step explanation:
Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.
Write down the image of A(5,8) under reflection about Y-axis is
Answer:
Step-by-step explanation:
use formula
P(x,)=P'(-x,y)
A(5,8)=A'(-5,8)
EASY 20 POINTS AND BRANLIEST PLEASE HELP write the following without the absolute value sign
Ia^2I if a<0
a^2 is in absolute value
Answer:
a^2
Step-by-step explanation:
Ia^2I if a<0
Since a^2 is always positive, we can remove the absolute value sign and nothing will change
a^2
Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.
Answer:
(2.5, -1.3)
Step-by-step explanation:
x = (3.5 + 1.5) / 2
x = 5/2
x = 2.5
y = (2.2 - 4.8) / 2
y = -2.6/2
y = -1.3
(2.5, -1.3)
WILL GIVE BRAINLIEST TO CORRECT ANSWER
Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1 - 1 ounces cach time he shampoos his dog and the bottle ol shampoo ongiinally contained ounces. Which is the correct equation and value of x, the number of times Nico can bathe hus dos using this one boule?
Answer:
Amount of shampoo in a bottle = 30 \frac{1}{2} 30
2
1
ounces
Amount of shampoo Nico uses in one bathe for his dog = 1 \frac{1}{4} 1
4
1
Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = 27 \frac{1}{2} 27
2
1
If Nico can Bathe his dog x times using this bottle, the value of x can be written as:
x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } x=
1
4
1
27
2
1
Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.
Thus, Nico can Bathe his dog 22 times using the bottle
Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?
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A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll
Step-by-step explanation:
This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.
Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.
Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.
Let f(x) = 2x – 1 and g(x) = 3x
Find g(f(x))
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt. Which interval is the 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt
Answer:
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt.
This means that [tex]n = 352, \pi = \frac{92}{352} = 0.2614[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 - 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.2011[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 + 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.3217[/tex]
As percent:
0.2011*100% = 20.11%
0.3217*100% = 32.17%.
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
50 points to the first answer, will be checking the answers
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
Answer:
.998543
9.92749
sqrt(101)
10 pi
Step-by-step explanation:
10 pi is approximately 10 * 3.14 = 31.4
.998543 is less than 1
9.927
sqrt(101) is a little more than sqrt(100) which is 10
Smallest .998543
9.92749
sqrt(101)
10 pi
please hellp meeee :D
a) 20 ft
b) 32 mm
Step-by-step explanation:
a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.
b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.
Answer:
i dont know what the answerris
Step-by-step explanation:
how many different California license plates can be made if there has to be one number followed by three letters followed by three more numbers
Answer:
175,760,000 different California license plates can be made.
Step-by-step explanation:
Possible outcomes for each number of letter:
10 numbers(from 0 to 9) and 26 letters.
Format of the plate:
Number - letter - letter - letter - number - number - number
The numbers of possible outcomes are:
10 - 26 - 26 - 26 - 10 - 10 -10
How many different plates?
We multiply these values. So
10*26*26*26*10*10*10 = 175,760,000
175,760,000 different California license plates can be made.
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
A serving of crackers has 1.5 grams of fat.
How many grams of fat are in 3.75 servings?
O A. 3.90
B. 5.25
C. 5.305
D. 5.625
What is the missing side length in the triangle below?
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
21^2+b^2=29^2
441+b^2=841
b^2=841-441
b^2=400
b=[tex]\sqrt{400[/tex]
b=20
therefore the length of a missing side is 20.
Answer:
20
Step-by-step explanation:
Use Pythagorean theorem. A^2+B^2=C^2
29 is the hypotenuse.
21^2+x^2=29^2
x=20
the nearest 100 of 87682
convert 495.05 to fraction
Answer:
9901 / 2000
Step-by-step explanation:
might be wrong
If a vector v = (3, -4), then what is the value of ||v||?
-1
Square Root 12
5
7
======================================================
Explanation:
Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).
This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).
In this case, a = 3 and b = -4, which means...
|v| = sqrt(a^2+b^2)
|v| = sqrt(3^2+(-4)^2)
|v| = sqrt(9+16)
|v| = sqrt(25)
|v| = 5
The vector is 5 units long.
Note: we have a 3-4-5 right triangle
PLS HELP!! need the answer asap
If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B.
Answer:
use the sine rule
Step-by-step explanation:
Can anyone help me with my math I have a picture of it