The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.
What is the inequality equation?
Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤, or ≥.
To determine the minimum number of sets of glasses that Latanya should buy, we can set up the following inequality:
x * 6 + 390 >= 739
This inequality states that the number of glasses Latanya has after buying x sets of glasses should be greater than or equal to the minimum number of glasses the restaurant needs.
To solve for x, we can subtract 390 from both sides of the inequality to get:
x * 6 >= 739 - 390
x * 6 >= 349
x >= 349/6
x >= 58.16
x >= 58
Hence, The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.
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23 < y - 2 solve the inequality of y and simplify your answer as much as possible.
\(23 + 2 < y \\ y > 25\)
ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.
Goodluck!!
Answer:
25 < y
Step-by-step explanation:
23 + 2 < y
25 < y
that's as much as it goes
HELP!!! this is super important please help a boi out :/
Answer:
P=7
Step-by-step explanation:
7-3=4
4/2=2
therefore,
p=7
Homework:Section 3. 1
Question 3, 3. 1. 59
Part 1 of 4
HW Score: 60%, 6 of 10 points
Points: 0 of 1
Question content area top
Part 1
Find the inverse function of the function f. Find the range of f and the domain and range of. ;
Question content area bottom
Part 1
Find the inverse, , of f. (x)
enter your response here
(Use integers or fractions for any numbers in the expression
The inverse function of the given function f is yet to be determined. The range of f and the domain and range of (x) will also be determined.
To find the inverse function of f, we need to swap the roles of x and y in the original function and solve for y. Let's assume the original function f(x) = y. By interchanging x and y, we get x = f^(-1)(y). Now, we can solve this equation to find the inverse function.
Once we find the inverse function f^(-1)(y), we can determine its range. The range of f^(-1) will be the domain of the original function f, and the domain of f^(-1) will be the range of f.
To find the range of f, we need to examine the set of all possible values that y can take on. This can be done by analyzing the behavior of the function and identifying any restrictions or limitations on the output.
Similarly, to determine the domain and range of (x), we need to consider the set of all possible inputs and outputs for the function. The domain of (x) will be the same as the domain of f, and the range of (x) will be the range of f.
In summary, we need to find the inverse function of f by swapping x and y and solving for y. Once we have the inverse function, we can determine its range, which will be the domain of f. Additionally, the domain and range of (x) will be the same as the domain and range of f, respectively.
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Evaluate (-1)x(-2)x(-3)x(-4)x(-5).
Answer:
\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)
Step-by-step explanation:
By the rule of Integer multiplications,
\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)
\(= [2] \times [12] \times (-5)\)
\(= -120\)
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4160/65= show your work
Answer: 64
Step-by-step explanation: 4160/65 64
since r is so widely used, it is appropriate to calculate r for nonlinear data.true/false
since r is so widely used, it is appropriate to calculate r for nonlinear data: False.
The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.
In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.
n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.
When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.
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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
y= -2x+11
y=-3x+21
Answer:
x=10
y=-9
Step-by-step explanation:
eqn 2-1
-1x+10=0
x=10
in eqn 1
y=-2 ×10+11
-20+11
-9
Quick
Check
upplementary Angles
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
1
1
0 21 and 22
3
4
2
0 21 and 23
0 21 and 24
22 and 23
O 22 and 24
23 and 24
Answer:
1&3
1&4
2&3
2&4
are all supplementary angles
Answer:
The answer is:
1&3
1&4
2&3
2&4
Step-by-step explanation: did it on edge 2022.
i need answer please SSS SAS AA NOT ENOUGH INFO NOT ENOUGH INFO
Answer:
Not enough info
Step-by-step explanation:
You don't have enough information to figure it out
A grain of sand has a mass of approximately 6 x 10-2. Earth has a mass of approximately 6 x 1028 grams. How many times the mass of the grain of sand is the mass of Earth?
the mass of Earth is 6 x 10^30 times the mass of a single grain of sand.
To find the answer, we need to divide the mass of Earth by the mass of a single grain of sand:
Mass of Earth / Mass of a single grain of sand = 6 x 10^28 / 6 x 10^-2
To divide these two numbers, we can simplify the expression by multiplying the numerator and denominator by 10^2, which gives:
(6 x 10^28) / (6 x 10^-2) x (10^2 / 10^2) = (6 x 10^30) / 1
what is mass?
Mass is a measure of the amount of matter in an object. It is usually measured in units of kilograms (kg) or grams (g) using a balance. Mass is an intrinsic property of an object, which means it does not depend on the object's location or environment.
In contrast to weight, which is the force exerted on an object due to gravity, mass is a scalar quantity and does not have direction. Mass is conserved in a closed system, which means it cannot be created or destroyed, only transferred or converted into other forms of energy.
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Wil says that he can draw a quadrilateral that is both a rhombus and a trapezoid. Shane says that is not possible. Explain who is correct.
Answer:
it's correct
Step-by-step explanation:
a quadrilateral can be either a rhombus or a
trapezoid only if you draw the two to together
it will be a rhombus and a trapezoid
XYZ Insurance isues 1-year policies: i) The probability that a new insured had no accidents last year is 0. 70 ii) The probability that an insured who was accident-free last year will be accident-free this year is 0. 80 iii)The probability that an insured who was not accident-free last year will be accident-free this year is 0. 60 What is the probability that a new insured with an unknown accident history will be accident-free in the sccond year of coverage?
Answer: 0.86 or 86%
Step-by-step explanation:
To calculate the probability that a new insured with an unknown accident history will be accident-free in the second year of coverage, we can use conditional probability.
Let's define the following events:
A: Insured had no accidents last year
B: Insured is accident-free this year
Given information:
i) P(A) = 0.70 (probability that a new insured had no accidents last year)
ii) P(B | A) = 0.80 (probability that an insured who was accident-free last year will be accident-free this year)
iii) P(B | A') = 0.60 (probability that an insured who was not accident-free last year will be accident-free this year)
We want to find P(B), which is the probability that an insured is accident-free this year, regardless of their accident history last year.
We can use the law of total probability to calculate P(B):
P(B) = P(A) * P(B | A) + P(A') * P(B | A')
P(B) = 0.70 * 0.80 + (1 - 0.70) * 0.60
P(B) = 0.56 + 0.30
P(B) = 0.86
Therefore, the probability that a new insured with an unknown accident history will be accident-free in the second year of coverage is 0.86.
PLEASE HELP WITH GEOMETRY QUESTION!! FIND H
Answer:
we have
when
base=8cm
height=11cm
area of parallelogram is :base×height
=8*11=88cm³
Now for
base=15cm
height=h
we have
the area of parallelogram=88cm²
base ×height=88cm²
15*h=88
h=88/15
h=88/15 or 5 13/15 or 5.86 cm in approximately
Given parameters :
The figure is a parallelogram Dimensions are as follows ;Base = 8 cm or 15 cmHeight = 11 cm or h cmTo find :
The value of h that is height in other wordsSolution :
We know that area of a parallelogram is base inti height .
In case 1 take the base as 8 cm and height as 11 cm
Area = Base × HeightArea = 8 × 11Area = 88 cm²In second case take the base as 15 cm and the height as h cm .
Note that we are doing this in the same figure so the area would be same .
Area = Base × Height88 = 15 × h88 = 15h \(\sf\implies\::\dfrac{88}{15}\:=\:h\) 5.86 = height
PLEASE HELP ⚠️
-2.4t + 4.2 = 3.2t + 2.4
Answer: t = 9/28
Step-by-step explanation:
Halloween or Christmas :))
Answer:
Christmas! I get to go to Maine and Indiana and have four christmas's. Also, I get do a lot of fun stuff.
A bag of oranges weighs
5
1
4
pounds. How much does
1
1
2
bags weigh?
514 x 112 = 57568
---------------------------
Answer:
5 1
4
×
1 1
2
=
21
4
×
3
2
=
21 × 3
4 × 2
=
63
8
=
7 7
8
Step-by-step explanation:
HAVE A GOOD DAY!!!Someone please help, anyone i'm running out of time!
Answer:
8)No, its not an ordered pair
9)-4 would be -17 and 0 would be -5
Step-by-step explanation:
I used Desmos to graph y=3x-5 and looked at (-3,14) and it wasnt on the line.
for 9) i used the same graphing calc and used the graph.
a line passes through points p(-6,8,1) and q (-4,1,3). find the standard parametric equations for the line
The standard parametric equations for the line passing through points P and Q is \($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\) .
To find the standard parametric equations for the line passing through points P(-6, 8, 1) and Q(-4, 1, 3), we first need to find the direction vector of the line. This can be done by subtracting the coordinates of point P from the coordinates of point Q:
\($\vec{PQ} = \begin{pmatrix}-4 \ 1 \ 3\end{pmatrix} - \begin{pmatrix}-6 \ 8 \ 1\end{pmatrix} = \begin{pmatrix}2 \ -7 \ 2\end{pmatrix}$\)
Now we can write the parametric equations in the form:
\($\begin{cases} x = x_0 + at \ y = y_0 + bt \ z = z_0 + ct \end{cases}$\)
where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector.
We can choose either point P or Q as the point on the line. Let's use point P. So we have:
\($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\)
These are the standard parametric equations for the line passing through points P and Q.
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covert 10/4 into a mixed number in simplest form
Answer:
2 1/2
Step-by-step explanation:
10/4
5/2
2 1/2
Answer:
10/4= 2 2/4——> 2 1/2
Step-by-step explanation:
if Alisson worked the times in the table and makes $9.32 an hour, how much was her gross pay this week?
8:03 am 5:13 pm
7:58 am 4:49 pm
7:46 am 4:41 pm
8:32 am 4:50 pm
7:31 am 4:32 pm
Remember that any time worked over 40 hours is paid at time and a half.
$372.80
$410.08
$412.41
$432.22
Answer:
The correct answer should be $432.22
please put the answers in order 1-5. what are the correct answers for
1
2
3
4
5
Answer:
32311Step-by-step explanation:
probability is between 0 to 1 so closest to 1 is answeras mentioned theoretical, so probability of throwing a dice n getting head is equal as of tail so half is answerexperimental can be calculated by counting head which r 11in options 1 max cases r covered in option 1 as there r equal chances of each shape and total r 6 shapes so nonagon is one of themtherefore favourable/total outcomes
hope it helps
-2/3a+5/6a-1/6 simplify
Answer:
\(\frac{1}{6} a-\frac{1}{6}\)
Step-by-step explanation:
\(-\frac{2}{3} a+\frac{5}{6}a-\frac{1}{6}\)
\(=-\frac{4}{6} a+\frac{5}{6}a -\frac{1}{6}\)
\(= \frac{1}{6} a-\frac{1}{6}\)
Answer:
\( \frac{( - 2)}{3} a + \frac{5}{6}a - \frac{1}{6} \\ = \frac{(- 4a) + 5a - 1}{6} = \frac{(a - 1)}{6} \)
hope this helps.
find the perimeter and area of the polygons
Answer:
Below in bold.
Step-by-step explanation:
This figure is a trapezoid.
We can find the missing side length by applying the Pythagoras Theorem to the right triangle on the left of the figure.
The dotted line has length 12 cm and the base of the triangle = 25 - 18 = 7 cm
So x^2 = 12^2 + 7^2 (where x = missing length)
= 144 + 49
= 189
x = √189
= 13.75 to nearest hundredth
So the perimeter
= 18 + 12 + 25 + 13.75
= 68.75 cm.
Area of a trapezoid = 1/2 (a + b) * h.
Area = 1/2 *(18 + 25) * 12
= 258 cm^2.
-4x(5x +1)
this needs to be written in polynomials
Answer:
-20x^2-4x
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.
Find side AC and round your answer to the nearest hundredth, help please.
Answer:
Step-by-step explanation:
Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:
\(tan(70)=\frac{?}{3}\) and
3tan(70) = ? so
? = 8.24
Find the approximate radius of a circle with a circumference of 7.92 centimetres. Use 3.14 for Π. Round to the nearest hundredth if needed.
Answer:
1.26
Step-by-step explanation:
Using the equation that the of the circumference:
C = 2Πr, you can plug in the given circumference:
7.92 = 2(3.14)r | Now you can isolate r:
7.92 = 6.28r
7.92/6.28 = r
r =1.26
What is the process of changing from one form to another
Answer:
it is transformation
The process of changing from one form to another is a Transformation
according to statistics reported on cnbc, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the cnbc report, showed 46 out of 200 vehicles were not covered by insurance. Develop a 95% confidence interval for the population proportion
The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.
How to find the confidence interval for a population proportion?The confidence interval for a population proportion is calculated by the formula,
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
Where \(\bar{p}\) is the sample proportion and α is the level of significance.
Calculation:It is given that,
The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are
The sample size n = 200;
The number of successes = 46
So, the sample proportion \(\bar{p}\) = 46/200 = 0.23
For a 95% confidence interval, the level of significance is
α = 1 - 95/100 = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Then, the z-score for the value 0.025 is
\(z_{\alpha/2}\) = 1.96 (from the table)
Thus, the confidence interval is
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)
⇒ C.I = 0.23 ± 1.96 × 0.0298
⇒ C.I = 0.23 ± 0.0584
So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.
Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.
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For the funtion f defined by f(x) = 2x + 3 what is the value of f(2)?
A4
B. 7
C.5
D.2
Answer:
b) 7
Step-by-step explanation:
f(x)= 2x + 3
f(2) = 2(2) + 3
f(2) = 4 + 3
f(2) = 7
(12y²+17y-4)+(9y²-13y+3)