Answer:
c. Yes, she is correct because 0.45 and 0.333 are rational numbers. The sum of two rational numbers is a rational number.
math.uh.edu lloyd's cereal company packages cereal in 1 pound boxes (16 ounces). a sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. if the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?
The probability that the amount dispensed per box will have to be increased is 0.0062.
Consider the provided information.
Sample of 16 boxes is selected at random.
If the mean for 1 hour is 1 pound and the standard deviation is 0.1
1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces
Thus: μ = 16 ounces and σ = 1.6 ounces.
Compute the test probability
z= x−μ/σ/[tex]\sqrt{n}[/tex]
z= 15-16/ 1.6/[tex]\sqrt{4}[/tex]
z= -1/ 0.4
z= -2.5
By using the table.
Probability p value = P(Z<-2.50) = 0.0062
Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.
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I REALLY NEED HELP WITH THIS!!
Determine the angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise
is 2 correct answers 
270 counter clockwise
Step-by-step explanation:
look at the rotation
Which of the following is both a perfect square and a perfect cube?
O64
O 1,000
16
081
Answer:
64
hope it helps
Ava is older than Olivia. Their ages are consecutive even integers. Find Ava's age if the sum of Ava's age and 2 times Olivia's age is 74
Ava's age is 26 years when Ava and Olivia's ages are consecutive even integers and the sum of Ava's age and 2 times Olivia's age is 74.
According to the question,
Ava and Olivia's ages are consecutive even integers.
Now, let's take Olivia's age to be x years.
So, Ava's age would be (x+2) years because their ages are consecutive even integers. (Even numbers are the number which are divisible by 2.)
We have the sum of Ava's age and 2 times Olivia's age is 74.
So, we have the following expression:
(x+2+2x) = 74
3x+2 = 74
3x = 74-2
3x = 72
x = 72/3 (3 was in multiplication on the left hand side. So, it is in the division on the right hand side.)
x = 24 years
So, Olivia's age is 24 years.
Now, we have:
Ava's age = (x+2) years
Ava's age = (24+2) years
Ava's age = 26 years
Hence, Ava's age is 26 years.
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How would the contrustion be different if you changed the compass setting in the next step of the perpendicular bisector construction
When the compass setting is changed in the next step of perpendicular bisector setting the construction line that suppose to be the perpendicular bisector will:
fail to bisect the line that requires bisectionThe line constructed will jus be a perpendicular lineWhat is perpendicular bisection?When a line say AB requires a perpendicular bisection by another line say CD, the following will happen
Line CD will intersect line AB at a point say MThe point of intersection will create an angle which 90 degrees when measuredline AM = line BM, this means that line CD divided line AB into two equal partsRead more on perpendicular bisection here: https://brainly.com/question/11006922
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solve for x x/10 = 4
What’s 4x=8 simplified pls pls need to know
[tex]4x=8\\\frac{4x}{4} =\frac{8}{4} \\x=2[/tex]
simplified it is x=2
Answer:
x = 2
Step-by-step explanation:
4 x 2 = 8
The circumference of a circle changes from 20 to 4 after a dilation. What was the scale factor of the dilation?
O
25
O 5
O25
Answer:
1/5
Step-by-step explanation:
we know that
To find the scale factor divide the circumference of the dilated circle by the circumference of the original circle
so
Scale factor= 4/20=1/5
Evaluate 4(x - 3) + 5x - x2 for x = 2.
Step-by-step explanation:
4(x - 3) + 5x - x²
If x = 2,
= 4(2 - 3) + 5(2) - (2)²
= 4(-1) + 10 - 4
= -4 + 10 - 4
= 6 - 4
= 2.
Therefore, it is confirmed that x = 2.
I need help look at the image attached
Answer:
[tex]\dfrac{(x-2)^2}{9}-\dfrac{y^2}{4}=1[/tex]
Step-by-step explanation:
Given points:
(2±3√2, ±2)(5, 0)(-1, 0)Standard equation of a horizontal hyperbola (opening left and right):
[tex]\boxed{\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1}[/tex]
where:
center = (h, k)vertices = (h±a, k)Points (5, 0) and (-1, 0) are the vertices of the hyperbola.
The center (h, k) is midway between the vertices. Therefore:
[tex]\implies h=\dfrac{5-1}{2}=2[/tex]
[tex]\implies k=0[/tex]
Substitute the found values of h and k into the formula:
[tex]\dfrac{(x-2)^2}{a^2}-\dfrac{y^2}{b^2}=1[/tex]
Substitute point (5, 0) and solve for a²:
[tex]\implies \dfrac{(5-2)^2}{a^2}-\dfrac{0^2}{b^2}=1[/tex]
[tex]\implies \dfrac{3^2}{a^2}=1[/tex]
[tex]\implies \dfrac{9}{a^2}=1[/tex]
[tex]\implies 9=a^2[/tex]
Substitute one of the (2±3√2, ±2) points and the found value of a² and solve for b²:
[tex]\implies \dfrac{(2+3\sqrt{2}-2)^2}{9}-\dfrac{2^2}{b^2}=1[/tex]
[tex]\implies \dfrac{(3\sqrt{2})^2}{9}-\dfrac{4}{b^2}=1[/tex]
[tex]\implies \dfrac{18}{9}-\dfrac{4}{b^2}=1[/tex]
[tex]\implies 2-\dfrac{4}{b^2}=1[/tex]
[tex]\implies \dfrac{4}{b^2}=1[/tex]
[tex]\implies 4=b^2[/tex]
Substitute the found values of a² and b², together with the values of h and k, into the formula to create the equation of the hyperbola:
[tex]\dfrac{(x-2)^2}{9}-\dfrac{y^2}{4}=1[/tex]
A triangle has base 8 cm and perpendicular height 5.2 cm
Diagram not drawn accurately
8 cm
Work out the area of the triangle.
Optional working
5.2 cm
Answer:
cm²
Answer:
20.8 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 8 * 5.2
Answer:
A = 20.8 cm²
Step-by-step explanation:
We have just to use the following expression:
A = (Base x height) / 2
So:
A = (8 x 5.2) / 2
A = 4 x 5,2
A = 20.8 cm²
Johnny opened a savings account and deposited $95, and then saved $15 per week. Write an equation representing this scenario. Use for her bank account balance and for the number of weeks that have passed since opening her account.
The following linear equation gives Johnny's savings w weeks after her opened the account.
S(w) = $95 + $15*w
Which equation shows Johnny savings?We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.
So, after w weeks, the amount in that savings account will be:
S(w) = $95 + $15*w
This linear equation gives the bank account balance w weeks after her opened the account.
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Which are true about Figure 1 and Figure 2? Select all that apply. A. The figures have the same shape.B. The figures have the same size.C. Corresponding angles have the same measure.D. Corresponding sides have the same length.E. Corresponding side lengths have the same ratio.F. The figures are similar.
As we can see
A. The figures have the same shape. TRUE
B. The figures have the same size. FALSE
figure 1 is smaller than figure 2
C. Corresponding angles have the same measure. TRUE
as we can see in the image they have the same measure
D. Corresponding sides have the same length. FALSE
figure 1 is smaller than figure 2
E. Corresponding side lengths have the same ratio. TRUE
two figures are similar, the ratios of the lengths of their corresponding sides are equal.
F. The figures are similar. TRUE
because they have the same shape but the size is different
Help!A 2-column table with 5 rows. Column 1 is labeled Type of flower with entries lilies, daisies, carnations, asters, daffodils. Column 2 is labeled Amount with entries 60, 36, 72, 42, 24.
The florist makes the greatest number of identical arrangements with the lilies and the daisies. Which combination describes the arrangements?
A.6 arrangements with 10 lilies and 6 daisies
B.6 arrangements with 6 lilies and 10 daisies
C.12 arrangements with 10 lilies and 6 daisies
D.12 arrangements with 5 lilies and 3 daisies
The greatest number of identical arrangements the florist can make is .12 arrangements with 5 lilies and 3 daisies.
What is the greatest number of identical arrangements?The greatest number of identical arrangements with the lilies and the daisies the florist can make would be equivalent to the highest common factor of the number of lilies and daisies.
The highest common factor of two or more numbers is the highest number that can divide the numbers evenly without leaving any remainder. For example, the highest common factor of 4 and 8 is 4.
Factors of 60= 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Common factors = 1, 2, 3, 4, 6, 12
Highest common factor = 12
Number of daisies = 36 /12 = 3
Number of lilies = 60 / 12 = 5
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I need help! This is due Friday and I don't know how to do all three questions.
Answer: Patrisha robbed 20+ banks
Bob has farted 30 times
Mary and John have 55 combined
Step-by-step explanation:
First one: She robbed 20 banks and then robbed more, giving 20+
Second one: 6 times a day for 5 days - 6x5=30
Third one: 25+30=55
I am having a difficult time solving this. Please HELP!
The solution of the algebraic expression for the variable M is given as follows:
M = (4π²a³)/(T²G)
How to solve an algebraic expression for a variable?To solve an algebraic expression for a variable, we have to isolate this variable, as a function of the other variables in the expression.
In the context of this problem, the expression which we want to solve for M is given as follows:
T² = 4π²a³/GM
Applying cross multiplication to remove the fraction, we have that:
T²GM = 4π²a³
To isolate M, we apply the division, which is the opposite operation of the multiplication, as T²G are multiplying M, hence the simplified expression for M is given as follows:
M = (4π²a³)/(T²G)
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The table represents a continuous exponential function f(x).
x 2 3 4 5
f(x) 12 24 48 96
Graph f(x) and identify the y-intercept.
0
3
6
12
The graph of the continuous exponential function f(x) has been plotted and there is no y intercept in the graph
The domain is the set of all possible inputs of the given function.
The range is the set of all possible outputs of the given function
Here values of the x is the set of all possible inputs of the function and the values of (x) is the set of all possible outputs of the function.
Draw the graph using the given domain and range
From the given graph
We can see that there is no y intercept and x intercept
Hence, the graph of the continuous exponential function f(x) has been plotted and there is no y intercept in the graph
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Demuestra los valores de las funciones trigonométricas del ángulo de 0°
The values of the trigonometric functions of the 0° angle are, cos 0° = 1, sin 0° = 0 ,tan 0° = 0, cot 0° = ∞, sec 0° = 1 , cosec 0° = ∞.
What is trigonometric functions?The simplest definition of a trigonometric function is the function of an angle in a triangle, also known as a circular function. It implies that these trigonometric functions can be used to determine the relationship between a triangle's angles and sides. The fundamental trigonometric operations include sine, cosine, tangent, cotangent, secant, and cosecant.
Now given degree is 0 ,
So, we know that sin 0° = 0,
And cos 0° = 1,
⇒tanθ=sinθ/cosθ,
Here θ = 0°
⇒tan 0° = 0/1,
⇒tan 0° = 0,
Now as cot θ is the inverse of tan θ, we get,
⇒cot θ = 1/tan θ,
⇒cot 0°= 1/0,
⇒cot 0° = ∞,
Now we know that cosec θ is the inverse of sin θ, we get,
⇒cosec θ = 1/sin θ,
⇒cosec 0° = 1/0,
⇒cosec 0° = ∞
And we know that sec θ is the inverse of cos θ we get,
⇒sec θ = 1/cos θ,
⇒sec 0° = 1/1,
⇒sec 0° = 1.
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A certain plant grows 1 1/6 inches each werk how long will it rake the plant to grow 6 1/6 inches?
A certain plant grows 1 1/6 inches each week. it will rake the plant to grow 6 1/6 inches is 5 weeks 2 days.
What is the definition of time?Time is ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future. It is a quantity that is part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly the things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.
Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without the circularity has consistently eluded scholars. Nevertheless, diverse fields such as the business, industry, sports, sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.
A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches
1 week = 7 days
Therefore in 1 day plant grows = [tex]\frac{\frac{7}{6} }{7}[/tex]
= [tex]\frac{1}{6}[/tex] inch
Now we have to calculate the number of days in which the plant grows [tex]6\frac{1}{6}[/tex] inches ≈ [tex]\frac{37}{6}[/tex] inch
Number of days = [tex]\frac{Total growth}{growth in one day}[/tex]
= [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{37}{6}[/tex] × 6
= 37 days ≈ 5 weeks and 2 days
It will take plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.
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The polynomial P(x) = x⁴ + 3x³ + cx² - 7x + 6 is divisible by x+3.
Determine the value of c and factor the polynomial fully.
The value of c is -3.
The factorization of the polynomial is [tex](x+3)(x^3-3x+2)[/tex].
Given that:-
Polynomial P(x) = x⁴ + 3x³ + cx² - 7x + 6 is divisible by (x + 3).
We have to determine the value of c and factorize the polynomial.
Using remainder theorem, putting x = -3 in the given polynomial, we get
[tex]P(-3)= (-3)^4+3(-3)^3+c(-3)^2-7(-3)+6=0[/tex]
P(-3) = 81 -81 +9c +21 +6 = 0
9c + 27 = 0
9c = -27
c = -27/9 = -3
Dividing the given polynomial x⁴ + 3x³ -3x² - 7x + 6 by (x + 3), we get,
[tex]x^3-3x+2[/tex]
Hence, the factorization of the polynomial is given by:-
[tex](x+3)(x^3-3x+2)[/tex]
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A woman wants to measure the height of a nearby tower. The total length of the towers shawdow is 185 ft, and the poles casts a shawdow that is 6.5 ft long. How tall is the tower? Round your answer to the nearest foot.
yes you want to know about math then you will tell answer d
Solve b over negative 5.6 is less than or equal to negative 4.9 for b.
b ≥ 27.44
b ≤ 0.7
b ≤ −0.7
b ≥ −10.5
The expression of b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7 ( b less than or equal to 0.7 ).
Based on the given conditions,
Negative 5.6 means = -5.6
Negative 4.9 means = -4.9
Negative 5.6 means ≤ Negative 4.9 means
Then,
-5.6 ≤ -4.9
But,
Let the number b is over negative 5.6,
It means,
We can write,
b + (-5.6) (Equation-1)
This equation-1 is write into,
b + (-5.6) ≤ -4.9
b - 5.6 ≤ -4.9
b ≤ (-4.9) + 5.6
We can sum or difference the products,
b ≤ 0.7
Therefore,
The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
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Answer: The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7
Step-by-step explanation:
I don’t know what I’m doing wrong for this
Answer:
Step-by-step explanation:
I guess you want to draw the graph.
The graph is a straight line
-6x - 20 = 4y
When x = 0:
-6(0) - 20 = 4y
y = -20/4 = -5
So, one point on the graph
= (0, -5)
When y = -2:
Plugging y = -2 into the equation:
-6x - 20 = 4(-2)
-6x = -8 + 20 = -12
x = -2
So, another point is (-2, -2)
Mark these 2 points on the graph paper
and draw a line passing through them.
Which is larger, 3.2 x 104 or 3.2 x 105?
Answer:
3.2 x 105
Step-by-step explanation:
its simple
(6 ten thousands 3 hundreds) x 10
It should be noted that (6 ten thousands 3 hundreds) x 10 will give a value of 603000
How to calculate the value?Based on the information given, it should be noted that we want to calculate (6 ten thousands 3 hundreds) x 10
It should be noted that 6 ten thousands is 60000.
It should be noted that 3 hundreds will be 300.
Therefore, 6 ten thousands 3 hundreds x 10 will be:
= (60000 + 300) × 10
= 60300 × 10
= 603000
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You buy a car that costs $24,211. The dealership is having a sale for 8% off and you have to pay 8.0% sales tax. How much will you pay?
He will pay $24.055 after discount and sales tax.
Define sales tax.A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.
Given Data
Car cost = $24.211
Discount = 8%
Car cost after discount:
= 24.211 - 8%
= 22.274
Car cost after sales tax:
= 22.274(8%)
= 22.274 (0.08)
= 1.781
Cost of car = 22.274 + 1.781
Cost of car = 24.055
He will pay $24.055 after discount and sales tax.
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Can someone like explain to me how to get this.
The probability of rolling an even number or a multiple of 3 is 3/4.
What is the probability?Probability determines the odds that a random event would happen. The probability the event takes place is 1 and the probability that the event does not happen is 0.
An even number is a number that is perfectly divisible by 2.
Probability of rolling an even number = number of sides that are even / total number of sides
Sides that are even = 2, 4, 6
Probability of rolling an even number = 3/6 = 1 / 2
Probability of rolling a multiple of 3 = number of sides that are multiples of 3 / total number of sides
Sides that are multiples of 3 = 3, 6
Probability of rolling a multiple of 3 = 2/6 = 1/2
The probability of event B or C = 1/4 + 1/2 = 3/4
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A pre-image includes a line segment with the length of z units in a slope of M units the pre-image is dilated by a scale factor of N. The length of a corresponding line segment in the image is blank units
The length of a corresponding line segment in the image is; Nz
How to find the Slope of the Line Segment?We know that;
Slope is the ratio of change in y-value and change in x-value.
Thus, dilation does not change the slope of any line.
Now, after dilation; M---->M
Length of line:
We know that a dilation has the effect of stretching or shrinking the line segment by the factor of N units
We are given
Length of line = z
Thus, the length after dilation will become
= N * z
= Nz which is the length of a corresponding line segment
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PLEASE HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!
The measures of the unknown angles are as follows:
∠DEA = ∠BEC = 60°∠AEB = ∠CED = 120°How to find the measure of angles?The measures of each angles can be found as follows:
Therefore,
∠AEB = ∠CED (vertically opposite angle)
∠DEA = ∠BEC (vertically opposite angle)
Vertically opposite angles are equal.
Therefore,
4x = 75 - x
4x + x = 75
5x = 75
x = 75 / 5
x = 15
Therefore,
∠DEA = ∠BEC = 4(15) = 60°
∠AEB = ∠CED = 360 - 120 / 2 = 240 / 2 = 120°
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Equivalent expressions 4x+1/2+2x-3
The Equivalent expressions of 4x+1/2+2x-3 is 6x × 1/2 - 3 .
What are equivalent expressions?Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value(s) for the variable are entered, two algebraic expressions that are equivalent will have the same value (s). An expression that is equivalent to another expression but does not share its visual characteristics has the same value or worth. According to algebra, the equivalent formulae 2(2x - 3y + 6) and 4x -6y + 12 are the same. When two expressions can be written similarly or when they can be combined into a single, simpler expression, they are said to be equivalent. Furthermore, if values are replaced for the variable in two expressions and they both yield the same result, you can tell if the expressions are similar.
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