Answers
Answer:
D
Step-by-step explanation:
0.0378÷0.21=0.18
this is 18 hundredths
but its 180 thousandths
Explanation:
Now--this is an awfully odd way to word a question.
BUT, it is solvable!
digits have "place values" in numbers, let's focus on after the decimal point:
_ . _ _ _ _ _ '
we know this can go on forever, but we don't need it to (for this problem, that is)
_ . _ _ _
_ . {tenths} {hundredths} {thousandths} ........
we want to know how many thousandths we have:
the answer to this problem (0.0378 / 0.21) is 0.18
{let's consider what we know about place values:}
"10" can be thought of as ten-ones
and "1" can be thought of as ten tenths
{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }
so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths
[if you ignore the decimal point, it becomes more clear]:
10.0 [100]
likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths
--------
okay, back to our problem:
how many thousandths make up 0.18?
Let's write this out to the thousandths place:
0.180
if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180
so, 0.18 is really composed of 180 thousandths, which is how option D is the answer
hope this helps!! :)
{let me know if there's anything else you would like me to explain about this!}
Related Questions
Calculate the number of two-person committees that can be formed from a group of 10 people
Answers
Bikash borrowed Rs150,000 from Anish at the rare 21% per year at the end of 9 month. How compound interest should he pay compound half yearly.
If a line has a slope of 4 and goes through the point open parentheses short dash 1 comma 1 close parentheses, then the equation for the line in slope-intercept form is ______________.
a.)
y equals short dash 4 x minus 3
b.)
y equals 4 x plus 3
c.)
y equals 4 x plus 5
d.)
y equals short dash 4 x minus 5
Answers
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line will be y =4x+5. Thus, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given the slope of the line is 4 and it goes through (-1,1), therefore, the equation of the line will be,
y = mx + c
y = 4x + c
Substitute the value of points,
1 = 4(-1) + c
1 = -4 + c
5 = c
Hence, the equation of the line will be y =4x+5. Thus, the correct option is C.
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One third of all guitars that are sold in the shop is a Stratocaster, one fourth of them are Telecasters, and one fifth of them is a Les Paul. If Jamie goes and buys a guitar, what are the chances she gets a telecaster or a Les Paul?
A. 58%
B. 53%
C. 45%
D. 43%
Answers
The probability that Jamie buys a telecaster or a Less Paul is 45% or forty-five percent.
How to find out the probability?1. Find the individual probabilities:
Probabilities to buy a telecaster:
1/ 4 = 0.25Probabilities to buy a Les Paul:
1/ 5 = 0.22. Add the probabilities:
0.25 + 0.2 = 0.453. Multiply by 100:
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What is the range of the function in the graph?
. 1≤x≤6
B. 20≤y≤60
C. 20≤x≤60
D. 1≤y≤60
Answers
Answer:
B
Step-by-step explanation:
Range is all the possible values of 'y'. As seen in the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60). Therefore, the range is B. 20≤y≤60
Hope this helps :)
After 8 points are added to each score in a sample.
the mean is found to be M = 40. What was the
value for the original mean?
Answers
Jdnjdbbdidbd
1 + 1/3=
Answers
Answer:
[tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]1 + \frac{1}{3} \\= \frac{3}{3} + \frac{1}{1}\\= \frac{4}{3}[/tex]
(if the question is asking for the simplified form , it is [tex]1\frac{1}{3}[/tex]
please help! I need this quickly
write an equation in standard form of the line passing through the points (12,6) and (-3,11)
Answers
Answer:
x + 3y = 30
Step-by-step explanation:
We are given that a line contains the points (12,6) and (-3,11).
We want to write the equation of this line in standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0, and a cannot be negative.
Regardless, before we write an equation in slope-intercept form, we must first write the equation in a different form, such as slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.
So first, let's find the slope of the line.
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
Even though we already have 2 points, let's label their values to avoid any confusion and mistakes when calculating.
[tex]x_1=12\\y_1=6\\x_2=-3\\y_2=11[/tex]
Now substitute these values into the formula.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{11-6}{-3-12}[/tex]
Subtract
m=[tex]\frac{5}{-15}[/tex]
Simplify
m=[tex]-\frac{1}{3}[/tex]
The slope is -1/3
Here is the equation of the line so far in slope-intercept form:
[tex]y=-\frac{1}{3} x + b[/tex]
We need to solve for b.
As the equation passes through (12,6) and (-3,11), we can use either one to help solve for b.
Taking (12, 6) for example:
[tex]6=-\frac{1}{3}(12) + b[/tex]
Multiply
[tex]6=-\frac{12}{3} + b[/tex]
Divide
6 = -4 + b
Add 4 to both sides.
10 = b
Substitute 10 as b in the equation.
[tex]y = -\frac{1}{3} x + 10[/tex]
Here is the equation in slope-intercept form, but remember, we want it in standard form.
In standard form, the values of both x and y are on the same side, so let's add -1/3x to both sides.
[tex]\frac{1}{3} x + y = 10[/tex]
Remember that a (the coefficient in front of x) has to be an integer, 1/3 is not an integer.
So, let's multiply both sides by 3 to clear the fraction.
[tex]3(\frac{1}{3} x + y) = 3(10)[/tex]
Multiply.
x + 3y = 30
Topic: finding the equation of the line (standard form)
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????????????????????
Answers
Answer:
[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]
Step-by-step explanation:
This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.
As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.
Furthermore, let two segments (in green) be drawn one from point C and point D.
To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].
Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,
[tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].
Then, performing cross multiplication yields
[tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].
Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.
Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each. A total of 132 pieces of beds and dressers are needed. What is the percentage of dressers with respect to the number of beds?
Please HELP
Answers
Answer:
you can buy 98 beds and buy dresses by rest of the money
Complete the coordinate proof of the theorem.
Answers
The coordinate of C( a+c , b) , AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)
What are Coordinates ?Coordinates is the value assigned to a point in a x-y graph to determine its location.
The coordinates of parallelogram is
A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)
The y coordinate is same as D as b
and the x coordinate will be a+c
C( a+c , b)
The coordinate of the mid point of AC are ((a+c)/2 , b/2)
The coordinate of the mid point of BD are ((a+c)/2 , b/2)
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URGENT WILL GIVE BRANLIEST IF CORRECT!!! A car is moving at 22.5 m/s, when it begins to accelerate at 1.45 m/s². How much time does it take to travel 60.2 m?
(Unit = s)
Answers
Answer:
2.48 seconds
Step-by-step explanation:
See attached
A piecewise function is shown here:
f(x) = {-3x +5 if x <2
{1/2x - 4 if 2 < or = to x < or = to 8
{2 if x > 8
Use the piecewise function to find each value given below.
f(0) =
f(-4) =
f(6) =
f(9)=
f(2) =
Answers
f(0) = -3(0) + 5 = 5
f(-4) = -3(-4) + 5 = 17
f(6) = ½(6) - 4 = -1
f(9) = 2
f(2) = ½(2) - 4 = -3
Using the restraints, find which equation the f(x) function validates and plug it in.
Help please!! I’m stuck with these questions. :)
Answers
Answer:
61
Step-by-step explanation:
the question is asking to find the number of element of set b that are not in set a
to find this one must know the common elements
the question has given the common elements to be 5
now subtract the number of elements in set b with the common elements
i.e. 66-5
=61
in a study of birth orders and intelligence, IQ test were given to 18 and 19 years old men to estimate the size of difference, if any, between the main IQs of firstborn sons and second born sons. The following data for 10 firstborn sons and 10 second born sons are consistent with the means and standard deviation's reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. First born numbers are 107, 113, 84, 126, 99, 95, 98, 109, 91, 90. Second born numbers are 112, 92, 102, 86, 97, 106, 105, 116, 109, 95. construct a 95% confidence interval for the difference in mean IQ between first born and second born sons. Let them one denote the main IQ of firstborn sons.
Answers
In a study of birth orders and intelligence, IQ tests were given to 18 and 19 years old men to estimate the size of the difference, we have that [tex]|t|=0.618\leq t_c =2.101[/tex] and for this reason, we cannot reject the null hypothesis.
What are the Test Statistics?Null and Alternative Hypotheses
[tex]H_o: \mu_{1} = \mu_{2}\\\\Ha: \mu_1 \neq \mu_2 .[/tex]
Since the population standard deviations are unknown, we will apply a t-test on the means of the two populations, using two independent samples.
The degrees of freedom are df = 18, and the significance threshold is set at alpha = 0.05, based on the data presented. If we assume that the population variances are the same, we can calculate the degrees of freedom in this way:
The rejection region for this two-tailed test is R = \{t : |f| > 2.101}
Therefore the Test Statistics is
[tex]t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}[/tex]
[tex]t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}[/tex]
t=0.618
In conclusion. we have that [tex]|t|=0.618\leq t_c =2.101[/tex]
For this reason, we cannot reject the null hypothesis.
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Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 729=9 729=9 (36)=9 (93)=91 (36)=32 6x = 9 3x = 1 6x = 2 x = 96 x = 13 x = 26 x = 32 x = 13 Explain Sklyer's processes. Is Skyler correct? If not, where did she go wrong? Explain Robert's processes. Is Robert correct? If not, where did he go wrong? Explain Kaitlyn's processes. Is Kaitlyn correct? If not, where did she go wrong?
Answers
The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:
Skyler erred by failing to equalize the bases of both sides before equating the exponents.Robert is right since he equalized the exponents before comparing the bases of the two sides.Since Kaitlyn made the bases of both sides equal before equating the exponents, she is accurate.1) SKYLER'S PROCESS:
Skyler wants to resolve the following issue;
Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9
729^(x) = 9
The next thing she did was convert 6x to 9.
Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.
So Skyler is wrong.
2) ROBERT'S PROCESS:
Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;
9^(3x) = 9¹
After which he equated the exponents to get;
3x = 1
x = 1/3
Thus; Robert is correct
3) KAITLYN'S PROCESS:
Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.
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1. What is the length of XU?
X
U
Y
36 in
V
Z
W
23 in
Answers
Answer: 49 in
Step-by-step explanation:
[23 + XU]/2 = 36 [trapezoid midsegment theorem]23 + XU = 72 [multiply both sides by 2]XU = 49 [subtract 23 from both sides]Use the zero x = 5, to help find the remaining zeros of x4 - 4x3 - 14x² + 36x + 45. Select one:
O a. x = 5, 3, and -3
O b. x = -1, 3, and -3
O c. None of these
O d. x = 1, 3, and -3
Answers
Answer:
huh
Step-by-step explanation:
HELP ASAP
8. The tubes on the frame of this road bike form a triangle. The owner's manual
identifies some of the angle measures formed by the bike frame. Based on the
information in the diagram below, determine which tube is the longest.
top tube
seat tube
top tube
30%
7
55
C
down tube
Part I: Classify the triangle formed by the three bike frame tubes as equilateral,
isosceles, or scalene. Find the measure of ZB and explain your classification. (3
points; 1 point for classification, 1 point for the angle measure, and 1 point for
explanation)
seat tube
down tube
Answers
Answer:
See below
Step-by-step explanation:
Longest is the down tube.....it is opposite the largest angle (95°) angle in the triangle . This is a SCALENE triangle ( all sides of different length)
The longest tube that we have here is the down tube. The triangle that is formed id the scalene triangle
What is the scalene triangle
A scalene triangle is a type of triangle where all three sides have different lengths. In other words, no two sides of a scalene triangle are equal in length. Additionally, the angles of a scalene triangle are also different from each other.
The term "scalene" comes from the Greek word "skalenos," which means "uneven" or "unequal." This name reflects the defining characteristic of the scalene triangle, which is the absence of any equal sides or angles.
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PLEASEEEEEE HELPPPPPPP!!! 50 POINTSSSSSS
12 = 6^2 + 7^2 - 2 (6) (7) (cosA)
solve for the cosA
Answers
Step-by-step explanation:
please mark me as brainlest
O
11
O
12 13
←
14
15
Which number line represents the solutions to -2|x| = -6?
←
16
17
18
←
+ +
-8-7-6-5-4-3 -2 -1 0 1 2 3
+
-8-7-6-5-4-3 -2 -1 0 1
19
+
-8-7-6-5-4-3 -2 -1 0 1 2
2 3
++
20
++ ++
4
567
4 5 6 7
3 4
5 6 7
8
8
+
8
H
-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
T
Answers
Answer:
thats not even understandable
The solution set is {3, -3} and is represented by the number line shown below.
What is number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To solve the equation -2|x| = -6,
We can begin by dividing both sides by -2:
|x| = 3
This means that the absolute value of x is equal to 3.
The solutions to this equation are x = 3 and x = -3.
The number line that represents these solutions is:
<--(+)===================(+)--->
-3 3
The open circles indicate that the solutions are not included in the solution set since the absolute value of x cannot be negative.
Therefore,
The solution set is {3, -3} and is represented by the number line shown above.
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Please help whilst I try to solve as well.
Answers
Answer:
Step-by-step explanation:
Answer:
420 cm³Step-by-step explanation:
we find the volume as if it were a parallelepiped and we remove the volume of the missing part.
8 * 6 * 10 = 480 cm³
480 - 2 * 3 * 10 = 420cm³
A company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 75 employees who logged enough hours was 87. The mean health score for all employees (population) was 85, with a population standard deviation of 6.5. Calculate the standard error of the mean
Answers
The standard error will be equal to 0.75.
What is the standard error?The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.
The standard error will be calculated by using the formula:-
SE = [tex]\sigma[/tex] / √n
Here [tex]\sigma[/tex] is the standard deviation and n is the sample number.
SE = 6.5 / √75
SE = 0.75
Therefore the standard error will be equal to 0.75.
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if m=p/2+3r. find the value of p if r=1 and m=5
Answers
Answer:
p = 4
Step-by-step explanation:
[tex]m =\frac{p}{2} +3r[/tex]
[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]
[tex]\Longrightarrow 2m-6r=p[/tex]
[tex]\Longrightarrow p = 2m-6r[/tex]
If m = 5 and r = 1
Then
p = 2(5) - 6(1)
= 10 - 6
= 4
Calculate this logarithmic expression
Answers
The solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]
How to solve the logarithmic expression?The expression is given as:
[tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex]
Apply the product law of logarithm
[tex]\log_2[(17 -\sqrt{19}) *(17 +\sqrt{19})]\\[/tex]
Apply the difference of two squares
[tex]\log_2[(17^2 -(\sqrt{19})^2][/tex]
Evaluate the squares
[tex]\log_2[(289 -19][/tex]
Evaluate the difference
[tex]\log_2[270][/tex]
Hence, the solution of the logarithmic expression [tex]\log_2(17 -\sqrt{19}) + \log_2(17 +\sqrt{19})[/tex] is [tex]\log_2[270][/tex]
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Evaluate the integral
-7x³
x³ +1
Note: Use an upper-case "C" for the constant of integration.
I
dx
Answers
The value of the integration is
[tex]\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C[/tex], where C is an integrating constant.
We know that finding the area of the curve's undersurface is the process of integration. To do this, cover the area with as many tiny rectangles as possible, then add up their areas. The sum gets closer to a limit that corresponds to the area under a function's curve. Finding an antiderivative of a function is the process of integration. If a function can be integrated and its integral over the domain is finite with the given bounds, then the integration is definite.
Here, we have to determine the value of the given integral
[tex]\int {\frac{-7x^{3} }{x^{3}+1} } \, dx[/tex].
So,
[tex]\int {\frac{-7x^{3} }{x^{3}+1} } \, dx = 7 \int {\frac{1-x^{3}-1 }{x^{3}+1} } \, dx[/tex][tex]= 7 \int [{1-\frac{1 }{x^{3}+1} } ]\, dx =7\int \, dx - 7 \int {\frac{1 }{x^{3}+1} } \, dx[/tex] ...(1)
Now,
[tex]\frac{1}{x^{3} +1} = \frac{1}{(x+1)(x^{2} -x+1)}[/tex]
We can write
[tex]\frac{1}{(x+1)(x^{2} -x+1)}=\frac{A}{(x+1)} + \frac{Bx+C}{(x^{2} -x+1)}[/tex]
i.e. [tex]1 = A(x^{2} -x+1)+(Bx+C)(x+1)[/tex]
i.e. [tex]1 = Ax^{2} -Ax + A+Bx^{2} +Bx+Cx+C[/tex]
i.e. [tex]1=(A+B)x^{2} +(-A+B+C)x +(A+C)[/tex]
Comparing both sides, we get
[tex]A+B=0 \implies B = -A[/tex] ...(2)
[tex]-A+B+C = 0 \implies -A+(-A)+C=0 \implies -2A+C=0[/tex] ...(3)
[tex]A+C=1[/tex] ...(4)
Subtracting (3) from (4),
[tex]A+C+2A-C=1-0 \implies 3A=1 \implies A=\frac{1}{3}[/tex]
From (4), [tex]C= 1-\frac{1}{3} =\frac{3-1}{3} =\frac{2}{3}[/tex]
From (2), [tex]B =-\frac{1}{3}[/tex]
We get
[tex]\frac{1}{x^{3}+1 } =\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{3} \frac{x-2}{x^{2} -x+1}[/tex]
[tex]=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-4}{x^{2} -x+1}[/tex]
[tex]=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1-3}{x^{2} -x+1}[/tex]
[tex]=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1}{x^{2} -x+1}+\frac{3}{6} \frac{1}{x^{2} -x+1}[/tex]
[tex]=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1}{x^{2} -x+1}+\frac{1}{2} \frac{1}{x^{2} -x+1}[/tex]
Integrate both sides,
[tex]\int \frac{1}{x^{3}+1 }\, dx =\frac{1}{3} \int \frac{1}{(x+1)} \, dx - \frac{1}{6} \int \frac{2x-1}{x^{2} -x+1}\, dx+\frac{1}{2} \int \frac{1}{x^{2} -x+1}\, dx[/tex]
i.e. [tex]\int \frac{1}{x^{3}+1 }\, dx =\frac{1}{3} \ln(x+1) - \frac{1}{6} ln (x^{2} -x+1)+\frac{\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })[/tex]
From (1),
[tex]\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C[/tex]
Therefore, the value of the integration is
[tex]\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C[/tex], where C is an integrating constant.
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Karl, Serene and Pauline have 1281 stickers altogether. 08
Pauline had 3 times as many stickers as Serene.
Karl had 175 stickers fewer than Pauline.
How many stickers did Pauline have?
Answers
Pauline has 371 stickers. Karl, Serene, and Pauline have 1281 stickers altogether.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let Karl, Serene and Pauline have x, y, and z stickers.
Given condition;
Karl, Serene, and Pauline have 1281 stickers altogether;
x+y+z = 1281
Pauline had 3 times as many stickers as Serene.
z = 3 y
y=z/3
Karl had 175 stickers fewer than Pauline.
x=z -175
Substitute all the values in the terms of z;
x+y+z = 1281
z -175 + z/3 + z = 1281
8z/3 = 1281 +175
z=546
Pauline have;
x = z -175
x =546 -175
x = 371
Hence Pauline has 371 stickers.
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Each phrase in the table describes two variables whick are strongly correlated. Select all phases that imply correlation without causation.
Answers
The complete question is attached below.
The most correct phases that imply correlation without causation are 1, 5, and 6.
What is correlation?The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.
The most correct phases imply correlation without causation are;
The number of stuffed animals produced at a factory and the number of newborn babies.
The number of videos rented and the number of films in the theater.
The number of pets in the neighborhood and the amount of grass nearby.
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In the equation y/6 = 156, what is the next step in the equation solving sequence
Answers
Answer:
Linear Equations In One Variable =
Next step :
in the equation y/6 = 156, it would be equivalent to y = 156 × 6.
so that :
y = 156 × 6
y = 936
this equation solved. (Answer : 936)
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 90 milligrams of Medication A with 72 milligrams of Medication B. However this week, the doctor said to only use 8 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answers
The Medication A mixed this week should be 10 milligrams.
We have,
Medications to be mixed in the proper proportions.
Last week's proportions as the doctor indicated ;
Medication A = 90 milligrams
Medication B = 72 milligrams
This week's proportions as doctor indicated;
Medication B = 8 milligrams
Let, Medication A = x milligrams
As we are instructed to mix the Medication in the proper proportions,
So,
According to the question,
90/72 = x/8
10/8 = x/8
⇒ x = 10 milligrams
Here, the Medication A mixed is 10 milligrams.
Therefore, the Medication A mixed this week should be 10 milligrams.
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Find sin
A. 12/13
B. 1
C. 13/12
D. 13/5
Answers
Answer: A. [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
The best way to remember this is SOH-CAH-TOA. For sin, it would be the opposite angle over the hypotenuse. The opposite angle of ∠C is 24 and the hypotenuse is 26. But that isn't in the answer choices, so you'll simplify the fraction.
[tex]\frac{24}{26} =\frac{12}{13}[/tex], therefore, the answer is A.
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