Darren kept track of the number of e-mails he received from one of his customers each day for 14 days on the dot plot. A number line goes from 1 to 12. 1 dot is above 2. 2 dots are above 7. 3 dots are above 8. 1 dot is above 9. 3 dots are above 11. 4 dots are above 12. Which statement must be true according to the dot plot?
Answers
The customer sent Darren more than 12 e-mails over the 14-day period. The maximum number of emails represented in the dot plot is 12 + 4 = 16
The dot plot provides information about the number of emails he received from one customer over a 14-day period.
The number line goes from 1 to 12, but there are 4 dots above 12 which means that the customer sent him more than 12 emails over the 14-day period.
Therefore, the statement "The customer sent Darren more than 12 e-mails over the 14-day period" must be true according to the dot plot.The maximum number of emails represented in the dot plot is 12 + 4 = 16. Therefore, the customer sent Darren more than 12 emails over the 14-day period.
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Related Questions
From the observation deck of a skyscraper, Morgan measures a 67∘ angle of depression to a ship in the harbor below. If the observation deck is 955 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
405.37
Step-by-step explanation:
tan(67) = 955/ X
(tan(67) )(X), (955) (X)
X tan(67) = 955
X tan(67)/ tan(67) = 955/ tan(67)
X= 405.37
An appliance repairman charges $25 plus $40 per hour for house calls. Write the rule as an equation that relates hours worked x and his fee y.
Answers
To get the total fee, you need to multiply the hourly rate by number of hours worked and add that to the flat fee of $25.
The equation would be y = 40x + 25
An aspiring business owner is planning their college course of study and would like to know whether they should pursue a doctoral degree before they open their own business. Explain what you would recommend to them using two specific examples from the bar graph to support your response.
Answers
Answer:
Yes
Step-by-step explanation:
Answer please answer!!
I need the answer asap
Answers
Answer:
35 cm
Step-by-step explanation:
is the correct answer
Solve the system of equations using the method of elimination by addition
Answers
Explanation
\(\begin{gathered} 2x+3y=7---equation1 \\ 4x+6y=15----equation2 \end{gathered}\)To solve the question using the elimination method
We will have to multiply equation 1 by -2 so that we can eliminate x
\(\begin{gathered} -4x-6y=-14 \\ 4x+6y=15 \end{gathered}\)Simplifying further by addition
\(0+0=1\)Hence, we will have
\(0=1\)Hence, we have no solution
The answer is no solution
At the toy store, Caleb and his younger brother, Gabe, each used money they had saved to buy Motor Mystery boxes. The convertibles are their favorite cars to get! Out of the 30 cars in Caleb's Jumbo box, 12 were convertibles. Out of the 10 cars in Gabe's Mini box, 4 were convertibles. Did the boxes have the same ratio of convertibles to total cars yes or no
Answers
Answer:
Answer: Yes
Step-by-step explanation:
Ratios
Caleb's Jumbo box has 30 cars, 12 of which are convertibles.
This gives a ratio of 12:30. The equivalent fraction of this ratio is:
\(\frac{12}{30}\)
This fraction can be simplified by dividing both parts by 6:
\(\frac{2}{5}\)
Thus Caleb's ratio of convertibles is 2:5.
Gabe's Mini box has 4 convertibles out of 10 cars. This gives a ratio of 4:10.
Simplifying by 2, the ratio is 2:5.
It's clear that both boxes have the same ratio of convertibles to total cars.
Answer: Yes
Write the equation of the perpendicular bisector of XY if endpoint X is at (-9,1) and endpoint Y is at (3,5). A) y = -X B) y = 3x - 6 C) y = -3x - 6 D) y = 3x + 12
Answers
A perpendicular bisector is a segment which intersects another segment on its midpoint and with a right angle.
First, we have to find the midpoint between X(-9,1) and Y(3,5), as follows
\(\begin{gathered} M=(\frac{-9+3}{2},\frac{1+5}{2}) \\ M=(\frac{-6}{2},\frac{6}{2}) \\ M=(-3,3) \end{gathered}\)This means the perpendicular bisector must pass through (-3,3). Now, with the given points we find the slope of XY
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5-1}{3-(-9)}=\frac{4}{3+9}=\frac{4}{12} \\ m=\frac{1}{3} \end{gathered}\)Then, we apply the rule of perpendicularity to find the slope of the perpendicular bisector.
\(\begin{gathered} m_1\cdot m=-1 \\ m_1=\frac{-1}{m} \\ m_1=-\frac{1}{\frac{1}{3}}=-3 \end{gathered}\)Now, we use the slope-point formula to find the equation for the perpendicular bisector.
\(y-y_1=m(x-x_1)\)Where we replace the slope -3 and the point (-3,3).
\(\begin{gathered} y-3=-3(x-(-3)) \\ y-3=-3x-9 \\ y=-3x-9+3 \\ y=-3x-6 \end{gathered}\)Therefore, the right answer is C.Which transformation is this an example of?A.reflectionB.rotationC.translationD.None of these
Answers
Answer:
I think rotation
Rotation
Evaluate the expression
15 + 6 x 7 - 12 divided by 2
Answers
Answer:
22.5
Step-by-step explanation:
It is very important to use bidmas (the order of mathematical functions - standing for brackets, indices, division, multiplication, addition, subtraction) in this question. 15 + 6 x 7 - 12 divided by 2 can also be written as (15 + 6 × 7 - 12) ÷ 2. First, you should complete the multiplication to make (15 + 42 - 12) ÷ 2. Then, complete the addition which makes (57 - 12) ÷ 2. Afterwards, do the subtraction which makes it 45 ÷ 2. This is 22.5. I hope this helps!
The slope of a curve at each point (x,y) is given by 4x - 1. Which one of the following is an equation fo curve if it passes through the point (-2,3)? A) y = 4x^2 - x - 15 B) y = 2x^2 - x C)y=2r^2-r+7 D) y= 2x^2-1-7
Answers
The following is an equation fo curve if it passes through the point (-2,3) is y=2 x^2-x-7.
What is Slope?
A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.
Slope of the carne at (x, y) is 4 x-1
Let the curve is: y=2 x^2-x-7
\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)
And passes Iowa's the point (-2,3).
\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)
Satisfied.
y=2 x^2-x-7
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3 divided by 3.87. Whats the answer?
Answers
Answer:
100/129
0.7751937984...
Step-by-step explanation:
Answer:
3/3.87 = .77519
It worries me that your account says you are in college and you don't know how to use a calculator.
The length of a rectangular picture frame is 28 inches and its perimeter is 84 inches. What is the width of the picture frame? *
Answers
The perimeter of a rectangle can be calculated using the following formula:
\(P=2w+2l\)Where
"w" represents the width of the rectangle
"l" represents the length of the rectangle
If you know the perimeter and length of a rectangle, you can use the formula to determine the width. The first step is to write the formula for the width:
-Pass 2l to the left side of the expression by applying the opposite operation to both sides of it:
\(P-2l=2w\)-Divide both sides by 2
\(\begin{gathered} \frac{P-2l}{2}=\frac{2w}{2} \\ \frac{P-2l}{2}=w \end{gathered}\)Now that we have determined a formula for w, replace the value of the length and perimeter and calculate the width:
P=84in
l=28in
\(\begin{gathered} w=\frac{84-2\cdot28}{2} \\ w=\frac{84-56}{2} \\ w=\frac{28}{2} \\ w=14 \end{gathered}\)The width of the rectangular frame is 14 inches long
2 pounds 6 ounces = ounces
Answers
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answers
Answer:
D. 78°
Step-by-step explanation:
50°+28°= 78°
_______
The altitude of a helicopter increases 1000 feet every 4 minutes .what is the unit rate change (feet per minute) of the altitude.(there’s no picture)
Answers
Answer:
250
Step-by-step explanation:
divide 1000 by 4 and you will get the unit rate
Prove that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0 Hint: Apply the First Derivative Test and Fermat's Theorem to the function g=f'
Answers
is a point of inflection, the concavity
changes at x=c
Therefore, f′′(x) changes signs at x=c.
Thus, by the First Derivative Test, f′ has a local extremum at x=c
Hence, by Fermat's Theorem f′′(c)=0
We can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
We can prove this statement using the First Derivative Test and Fermat's Theorem.
First, we know from the First Derivative Test that at a point of inflection, the first derivative of the function (in this case, f') must equal 0. Therefore, at the point (c, f(c)), f'(c) = 0.
Next, we can apply Fermat's Theorem. This theorem states that if a function f has a local maximum or minimum at c, then f'(c) = 0. Since the point (c, f(c)) is a point of inflection, we can apply Fermat's Theorem to say that f'(c) = 0.
Now, since f'' exists in an open interval that contains c, we can use the fact that if f'(c) = 0, then f''(c) = 0.
Therefore, we can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.
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pls answer will give brainliest answer
Answers
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
The data below consist of 25 samples of 4 observations each on the lengths of particular bolts manufactured for use in a large aircraft. The target length of these bolts is 37 centimeters. Answer the below questions and show all hand written, SPSS (screenshots) or excel work.
a) Is the process in statistical control?
b) If not in statistical control, why? Explain.
c) Given that the tolerance of these bolts is + .01 centimeters, determine the
i. Cp
ii. CpK values of this process and the
iii. Sigma level Samples
Samples
Sub 1
Sub 2
Sub 3
Sub 4
1
36.99
37.02
37.04
37.01
2
37.01
37.04
37.03
36.98
3
36.98
37.03
37.03
36.99
4
37.00
37.00
37.00
36.98
5
36.98
36.99
36.99
36.96
6
36.99
36.96
36.94
36.97
7
36.98
36.97
37.01
36.96
8
36.93
36.96
36.96
36.93
9
36.91
36.99
36.95
36.92
10
36.97
36.99
36.95
36.94
11
37.05
37.05
37.05
37.05
12
37.00
37.04
37.11
37.05
13
37.05
37.04
37.06
37.04
14
37.08
37.08
37.03
37.08
15
37.08
36.99
37.07
37.06
16
36.93
36.99
37.03
37.03
17
37.06
36.94
37.06
36.98
18
36.94
36.96
36.96
37.01
19
37.01
36.98
37.03
37.00
20
37.03
37.07
36.99
37.03
21
36.99
36.99
37.01
37.00
22
37.01
37.00
37.00
36.99
23
37.02
37.00
37.00
37.00
24
37.01
37.01
37.00
37.03
25
36.99
37.00
37.00
36.99
Answers
Using the properties of confidence interval and probability we can conclude from the observations that the process is not a statistical control process.
(a) The process is not a statistical process .
b) The control & chart is not in control because there some false alarm at 8-15. There are some special causes in the clata (may be in manufacturing) exist.
(c) (i) Given that Target length = 37 USL + LSL = 37 USL+2SL= 74
and Tolerance = 0.01 USL LSL = 0.01
After Solving equation 1 & 2 we get VSL = 37.005, LSL = 36.995
cp =2 × 0.01 6/0.05 × 2.059 = 0.01 ×0.1457 = 0.0686
(ii) Cp = min (Cpu, CP).
Cpu = 37.005-37 0.073 = 0.06849
CPL = 0.06859
Срк = 2 × 0.06849 = 0.024
The application of statistical methods to monitor and regulate the quality of a manufacturing process is known as SPC (statistical process control) or SQC (statistical quality control).
This increases the efficiency of the process, resulting in more specification-conforming goods with less waste (rework or scrap). SPC can be used to any process that can measure the output of a "compliant product" (a product that fulfils standards).
The primary tools of SPC are run charts, control charts, a focus on continuous improvement, and experiment design. Manufacturing lines are one example of a process that employs SPC.
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Please show your work!
3(5x - 6) = 6(2x - 12)
Answers
Answer:
x = -18
Step-by-step explanation:
Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72
15x - 18 = 12x - 72
Add 18 to both sides: 15x = 12x - 54
Subtract 12x from both sides: 3x = -54
Divide both sides by 3: x = -18
Answer:
x= 17.666666...
Step-by-step explanation:
3(5x - 6) = 6(2x - 12)
(3 times 5x , 3 times -6) (6 times 2x, 6 times - 12)
15x-18 = 12x -72 (multiply insides)
-12x -12x (remove 12x from right side)
3x-19 = -72 (product)
+19 = +19 (add 19 left side to remove it)
3x = 53 (product)
x = \(\frac{53}{3}\) (divide)
x= 17.666666... (answer)
x = 17.67 (if simplify)
The surface are of the right triangular prism is 120ft what is the volume of the prism? Show your work
Please help soon I need it now!
I give 30 brainly
Answers
The volume of the prism is 48.75cm³
What is volume of a prism?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
A prism is a solid shape that is bound on all its sides by plane faces.
The volume of the prism is expressed as;
V = base area × height
base area = 1/2 bh
area = 1/2 × 6 × 5/2
= 30/4
= 7.5 cm²
Height of the prism = 13/2 = 6.5 cm
Therefore the volume
= 7.5 × 6.5
= 48.75 cm³
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What is a perfect square 6^1
Answers
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
simplify using distributive law ;
1.) X n ( X n Y )
2.) ( X n Y ) u ( X n Y )
Answers
Answer:
X n Y , X n Y
Step-by-step explanation:
1) Use Associative law:
X n (X n Y) = (X n X) n Y
Idempotent law:
= X n Y
2) it is in the 'distributed' form, thus we need to reverse the distribution,
akin to 'factorization':
(X n Y) u (X n Y) = (X n (Y u Y))
which can be further simplified using idempotent law:
= X n Y
What is the volume of the shape below
Answers
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
Answers
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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Can someone please help me it’s very important please ASAP
Answers
12x12x12x10.4 in a ahedron
Answers
Answer:
it 17971.2 ;)
Step-by-step explanation:
I need help please……
Answers
Answer:
f=- 6, x=-1
f = - 6, x=-3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Increase 2,400 by 5%
Answers
Increasing 2400 by 5% gives us 2520
we can increase the value by using the formula:
\(initial value+ percentage increase *initial value\) = increased percentage
in the aforementioned question we have
initial value = 2400
percentage increase = 5%
thus we can find out the increased percentage by:
2400 + 2400 X (5/100)
=2400 + 120
=2520
the value by which 2400 is increased is 120
to arrive at the increased value which is 2520
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When we divide a number by a positive power of 10, we move the decimal point which direction?
Answers
Answer:
left
Step-by-step explanation:
help someone What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y=8x+0
slope intercept is y=mx+b where m is the slope and B is the y intercept. the slope for this graph is 8 and the y intercept is 0, hense y=8x+0