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The answer is the figure below
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4y = x + bDIB!Statisti1.LENTIONS8-7-66-1-3-2-1214BPokynoudalFunedomD(5)=?Expression2'3-(1-1)Op 102Use words to describe the transformation shown below. Explain how you know. Be as specificas possible. (Think about some of the vocabulary specific to transformations.) *Get real675d - 50.0 mlEnter your answerITG
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In this problem we have a reflection across the x-axis
The rule of the reflection across the x-axis is
(x,y) -----> (x,-y)
In this transfornations, the x coordinate of the pre image and the image are equal, but the y-coordinate of the image change the sign
According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 4,000 roaches (the expected number in a roach-infested house) werereleased in the test kitchen. One week later, the kitchen was fumigated and 15,400 dead roaches were counted, a gain of 11,400 roaches for the 1-week period. Assume that none of the original roaches died duringthe 1-week period and that the standard deviation of the number of roaches produced por roach in a 1-week period, is 1.3. Use the number of roachos produced by the sample of 4,000 roaches to find a 90%confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.Find a 90% confidence interval for the mean number of roachos produced per week for each roach in a typical roach-infested house,(Round to three decimal places as needed.)
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Before working on the answer, let us define some things:
[tex]\begin{gathered} \sigma=1.3 \\ n=4000 \end{gathered}[/tex]Besides, we need to calculate the average (x bar) of roaches produced by a single roach in the week:
[tex]\bar{x}=\frac{15400}{4000}=3.85[/tex]Let's look at our z-score table. the value associated with a confidence level of 90% is
[tex]z^{}=1.645[/tex]Having calculated these things, we're done; for the desired confidence interval is given by
[tex]CI=(\bar{x}-z\cdot\frac{\sigma}{\sqrt[]{n}},\bar{x}+z\cdot\frac{\sigma}{\sqrt[]{n}})[/tex]Replacing the values we just got:
[tex]CI=(3.85-(1.645)\cdot\frac{1.3}{\sqrt[]{4000}},3.85+(1.645)\cdot\frac{1.3}{\sqrt[]{4000}})\ldots[/tex][tex]\ldots\approx(3.85-0.0338,3.85+0.0338)=(3.816,3.884)[/tex]The answer is
[tex](3.816,3.884)[/tex]• Show 1.25 and -1.25 as points on a number line. + - 1 + 1 -2 0 2 What is the distance between the two points? Explain. Which two points are located 7.5 units away from -1.25?
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Points 1.25 and -1.25 on a number line are:
Then, the distance between these two points can be calculated as:
Distance = 1.25 - ( - 1.25) = 1.25 + 1.25
Distance = 2.5
Because 1.25 is greater than -1.25
On the other hand, the points that are located 7.5 units away from -1.25 are:
-1.25 + 7.5 = 6.25
-1.25 - 7.5 = -8.75
Because 6.25 is 7.5 units to the right from -1.25 and -8.75 is 7.5 units to the left from -1.25
Answers: Distance = 2.5
Points = 6.25 and - 8.75
Find the circumference of each circle. Use ( pie symbol) as 22/7 Number 10. 1 1/3
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ANSWER :
The circumference is 88/21 inches or 4.19 inches
EXPLANATION :
From the problem, we have a circle with a diameter of 1 1/3 in.
Note that the circumference of a circle is :
[tex]C=2\pi r\quad or\quad C=\pi D[/tex]Since we have a diameter, we will use the second formula :
The circumference will be :
[tex]\begin{gathered} C=(\frac{22}{7})(1\frac{1}{3}) \\ C=(\frac{22}{7})(\frac{4}{3}) \\ C=\frac{88}{21}\quad or\quad4.19 \end{gathered}[/tex]According to the US blood bank about 35.7% of the US has A positive blood. 1. If 3 people are chosen at random then what is the probability that no one has A positive blood?2. If 3 people are chosen at random then what is the probability that all 3 have A positive blood?Show all your work and make sure to round your answer to 3 decimal places.
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The percentage of the people that have A positive blood is 35.7%,
[tex]35.7\text{ \%=}\frac{35.7}{100}=0.357[/tex]The probability of the people that do not have A positive blood,
[tex]1-0.357=0.643[/tex]The probability of people with A positive blood is 0.357
The probability of people without A positive blood is 0.643
1) The probability that 3 people that do not have A positive blood
[tex]\begin{gathered} =0.643\times0.643\times0.643 \\ =0.2658\approx0.266(nearest\text{ 3decimal places)} \end{gathered}[/tex]2) The probability that 3 people have A positive blood
[tex]\begin{gathered} =0.357\times0.357\times0.357 \\ =0.0455\approx0.046(nearest\text{ 3decimal places)} \end{gathered}[/tex]Two transformations are applied to the triangle to create triangle LMN so that MN and Mn Will both be parallel to the same access and Ln and l n Will both be parallel to the same axis which pair of trance formations will not result in these corresponding sides of the two triangles being parallel for the same axis?
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Given the vertices of LMN:
L(-5, 1), M(-1, 5), N(-1, 1)
Given that two transformations are applied to triangle so that MN and M'N' will be parallel to the same axis. Also, LN and L'N' are parallel to the sma e axis.
Let's find the pair of transformations that will in result in this pair of corresponding sides not being parallel to the same axis.
Now, we are to find the pair of transoformations.
The set of transformations will be:
A rotation 90 degrees clockwise, followed by a translation 3 units down.
Apply the rotation rule for 90 degrees clockwise :
(x, y) ==> (y, -x)
Thus, we have:
L(-5, 1) ==> (1, 5)
M(-1, 5) ==> (5, 1)
N(-1, 1) ==> (1, 1)
After a translation 3 units down apply the rules of translation:
(x, y) ==> (x, y - 3)
Thus, we have:
(1, 5) ==> (1, 5 - 3) ==> (1, 2)
(5, 1) ==> (5, 1 - 3) ==> (5, -2)
(1, 1) ==> (1, 1 - 3) ==> (1, -2)
Therefore, the coordinates are:
L'(1, 2), M'(5, -2), N'(1, -2)
ANSWER:
A rotation 90° clockwise, followed by a translation 3 units down.
Which equation has a constant of proportionality equal to 5?Choose 1 answerY = 5xY = 10/5xY = 5/25xY = 1-2x
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The constant of proportionality is seen as k in this formula:
[tex]\text{ y = kx}[/tex]All of the choices are already in this form, however, the only expression that shows a constant of proportionality of 5 is y = 5x.
[tex]\text{ y = (}k)(x)\text{ }\rightarrow\text{ y = (5)(x)}[/tex]Therefore, the answer is A.
Question 41 ptsThe point C(-2,3) has been transformed to C(2, 3). The transformation is described asO Ry-axisO D₂O r(90,0)O Rx-axis< PreviousNext >
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Looking at the coordinates (-2, 3) and (2, 3), we can see that the signal of the x-coordinate changed.
This means that the point was reflected over the y-axis:
The effect of a reflection over the y-axis is changing the signal of the x-coordinate.
Therefore the correct option is the first one.
Previous BalanceCredit Card StatementCalculate the new$310.00balance on thisFinance Charge $10.00 account after theseNew Purchases $80.00charges andPayments$(200.00)payments are$0.00appliedCreditsA. -$20.00B. $440.00C. $600.00D. $200.00
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The formula for the new balnce after the charges and payments are applied is given below,
New balance= Previous balance + Finance charge + New purchases - ( Payments + Credits).
Given data
[tex]\begin{gathered} \text{Previous balance=\$310}.00 \\ F\text{inance charge=\$10}.00 \\ \text{New purchases=\$80}.00 \\ \text{Payments}=\text{ \$200.00} \\ \text{Credits}=\text{ \$0.00} \end{gathered}[/tex]Therefore,
[tex]\text{New balance=\$(}310.00+10.00+80.00)-\text{ \$(200.00+0.00)}[/tex][tex]\begin{gathered} \text{New balance=\$(400.00)-\$(200.00)} \\ \text{New balance=\$(400.00-200.00)} \\ \text{New balance=\$200.00} \end{gathered}[/tex]Hence, the New balance on the credit card statement is $200.00.
The correct option is Option D.
What is the equation for the graph shown?y=-1/2x+2
y=-1/2x-1
y=1/2x+2
y=-1/2x+3
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Answer:
Your answer is [tex]y=-\frac{1}{2} + 2[/tex]
Step-by-step explanation:
The slope, in this case, using the formula [tex]\frac{rise}{run}[/tex], is [tex]-\frac{2}{4}[/tex] or [tex]-\frac{1}{2}[/tex]
The y-intercept is 0,2.
Thus, using the formula [tex]y=mx+b[/tex], we get [tex]y=-\frac{1}{2} + 2[/tex]
Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = 'an odd number less than 9."P(E)=(Type an integer or a decimal. Do not round.)
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We have a sample space S = {1, 2, 3, 4, 5, 6, 7, 8 ,9, 10}.
Each outcome of this sample space is equally likely.
We have to compute the probability of the event E = 'an odd number less than 9'.
Then, event E happens when one of this outcomes happens: 1, 3, 5 or 7. That is 4 outcomes out of 10.
As all the outcomes are equally likely, the probability of event E will be the quotient between the number of success outcomes (4) and the number of total outcomes (10):
[tex]P(E)=\frac{4}{10}=0.4[/tex]Answer: the probability of event E is P(E) = 0.4.
I don't know what to do at the last part
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3x³
1) Evaluating that radical expression, we have:
Notice that we can rewrite that, under one and only radical, and then divide 81 by 3 and subtract the exponents (1 from 10)
And then, rewrite that radical as a power
[tex]\frac{\sqrt[3]{81x^{10}}}{\sqrt[3]{3x}}=\sqrt[3]{\frac{81x^{10}}{3\cdot x^{}}}=\sqrt[3]{27x^9^{}}=(27x^9)^{\frac{1}{3}}=3x^3[/tex]2) As the cubic root of 27 is 3 and 9 times 1/3 is 3 we can write the solution as 3x³
3) Hence, that's the answer
I need help please I do on t get it
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simplify the equation: -(3d-4)-4(5-2d)
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We have
[tex]-\mleft(3d-4\mright)-4\mleft(5-2d\mright)[/tex]we sum similar terms
[tex]\begin{gathered} -3d+4-20+8d \\ 5d-16 \end{gathered}[/tex]The table lists the smoking habits of a group of college students[graph below]If a student is chosen at random, find the probability of getting someone who is a regular or heavy smoker.If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker.
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Answer:
Given that,
The table lists the smoking habits of a group of college students (given in the question)
In a recent year, 16.8% of all doctors were female. If there were 57,600 female registered doctors that year, what was the total number of registered doctors?Round your answer to the nearest whole number.
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From the problem statement, we can say,
16.8% of total doctors is 57,600.
16.8% in decimal is
16.8/100 = 0.168
Let total number of doctos be "d", thus we can write the statement "16.8% of total doctors is 57,600" as >>>
[tex]0.168\cdot d=57600[/tex]Now, we can solve for "d", shown below:
[tex]\begin{gathered} 0.168d=57600 \\ d=\frac{57600}{0.168} \\ d=342857.14 \end{gathered}[/tex]Rounding to the nearest whole number,
Total Doctors = 342,857the diameter. of a circle is 14 ft. Find its are in terms of pi
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The formula to find the area of a circle is
[tex]\begin{gathered} A=\pi r^2 \\ \text{ Where A is the area and} \\ r\text{ is the radius of the circle} \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} r=7ft \\ \text{ Because} \\ \text{ radius }=\frac{\text{ diameter}}{2} \\ \text{ radius }=\frac{14ft}{2} \\ \text{ radius }=7ft \end{gathered}[/tex]Then,
[tex]\begin{gathered} A=\pi r^2 \\ A=\pi(7ft)^2 \\ A=\pi\cdot49ft^2 \\ A=49\pi ft^2 \end{gathered}[/tex]Therefore, the area of this circle in terms of pi is 49 square feet.
Please answer the following question and match the correct term with It's correct defenition.
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Given:
Rotation: it gives the isometry along single line.
In perpendicular line the isometry is given by ratation because ratating a single line along its fixed dimension give the isometry to the line segment.
Answer: Rotation.
Find the domain of the function.✓4+xf(x) =8-3xWrite your answer as an interval or union of intervals.
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The domain is the set of possible x-values. In our case, f(x) is definined when the term into the radical is greater or equal than zero and the denominator is different from zero, that is,
[tex]\begin{gathered} 4+x\ge0 \\ \text{and} \\ 8-3x\ne0 \end{gathered}[/tex]From the inequality, we get
[tex]x\ge-4[/tex]and, from the last relation, we have
[tex]\begin{gathered} -3x\ne-8 \\ so \\ x\ne\frac{8}{3} \end{gathered}[/tex]By combining both results, the domain is
[tex]\lbrack-4,\frac{8}{3})\cup(\frac{8}{3},\infty)[/tex]Fifth grade DD.8 Area of parallelograms and trapezoids 05X What is the area? Write your answer as a fraction or as a whole or mixed number. 2 rt square feet
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We can solve this using the formula below:
[tex]A=\frac{1}{2}(a+b)h[/tex]where
A is the area
a and b are the base
h is the height
From the figure given,
a= 2
b = 5 2/3
h=4 1/3
substitute the values into the formula
[tex]A=\frac{1}{2}(2\text{ + 5}\frac{2}{3})\text{ }\times\text{4}\frac{1}{3}[/tex][tex]=\frac{1}{2}(2+\frac{17}{3})\times\frac{13}{3}[/tex][tex]=\frac{1}{2}(\frac{6+17}{3})\times\frac{13}{3}[/tex][tex]=\frac{1}{2}(\frac{23}{3})\times\frac{13}{3}[/tex][tex]=\frac{1\times23\times13}{2\times3\times3}[/tex][tex]=\frac{299}{18}[/tex][tex]=16\text{ }\frac{11}{18}ft^2[/tex]I didn’t understand this question, please help thank you very much
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Hello there. To solve this question, we'll have to remember some properties about finding the common denominator of a sum of fractions.
Given the fractions:
[tex]\frac{5y^2+2}{y^2+7y+10}+\frac{3}{y+2}[/tex]We start by factoring the expression in the denominator of the first fraction.
Notice it is something of the form x² - Sx + P, where S = -7 and P = 10.
S and P are the sum and the product of the roots of the expression. In this case, we can easily find values that would give us a sum of -7 and a product of 10:
y = -2 and y = -5
Thus, we write it as:
y² + 7y + 10 = (y + 2)(y + 5)
Then we have:
[tex]\frac{5y^2+2}{(y+2)(y+5)_{}}+\frac{3}{y+2}[/tex]Now, to find the common denominator, we calculate the least common multiple of the expressions:
[tex]\mathrm{lcm}((y+2)(y+5),(y+2))=(y+2)(y+5)[/tex]We can calculate it as:
Therefore this is the common denominator of the fractions, in its factored form.
Dividing Mixed Numbers102) 270-35 =3) 445-9109) 45+210) 29-315) 476-23-
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First, I will transform all into a fraction
[tex]\frac{18}{5}\div\frac{5}{2}=\frac{18\cdot\text{ 2}}{5\cdot5}=\frac{36}{25}[/tex]the answer is 36/25
A computer password is required to be 9 characters long. How many passwords are possible if thepassword requires 3 letter(s) followed by 6 digits (numbers 0-9), where no repetition of any letter or digitis allowed? There are _______ possible passwords
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Since the alphabet has 26 letters and the digits are 10, and where no repetition of any letter or digit is allowed, using the multiplication principle we have:
26 25 24 10 9 8 7 6 5 = 2.36 x 10^9 possible passwords, multiplying
--- ---- ---- ---- ---- ---- ---- ---- ---- the values.
Rob weighed how much candy he ate each month. His measurements were:2.4 lbs, 2.2 lbs, 1.6 lbs, 1.4 lbs, and 2.3 lbs. Find the range and mode of thegiven data.
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Given:
Rob's measurements were 2.4 lbs, 2.2 lbs, 1.6 lbs, 1.4 lbs, and 2.3 lbs.
To find:
The range and mode of the given data.
Explanation:
Using the range formula is,
[tex]\begin{gathered} R=Largest\text{ value - Smallest value} \\ =2.4-1.4 \\ =1 \end{gathered}[/tex]Therefore, the range is 1.
As we know, the mode is the number that occurs the maximum number of times.
So, the date has no mode value.
Final answer:
• The range is 1.
,• There is no mode.
determine if the segments (2, 3) (3, -3) and (-1, 4) (-4,-1) are congruent or not congruent. Show all work.
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Answer
The two segments aren't congruent.
Explanation
The two segments given that we are asked to check if they are congruent are
(2, 3), (3, -3)
and
(-1, 4), (-4, -1)
The only way to know if the segments are congruent is from the values of the slopes of the two segments. If the two segments are congruent, the slopes will be equal.
The slope of a line or segment that has two coordinates given is calculated as
Slope = (Change in y)/(Change in x)
For (2, 3), (3, -3),
Change in y = -3 - 3 = -6
Change in x = 3 - 2 = 1
Slope = (-6/1) = -6
For (-1, 4), (-4, -1)
Change in y = -1 - 4 = -5
Change in x = -4 - (-1) = -4 + 1 = -3
Slope = (-5/-3) = (5/3) = 1.667
The two slopes are evidently not equal, hence, the two segments aren't congruent.
Hope this Helps!!!
Complete each statement about multiplying positive and negative integers using word positive or negative. Then provide an example for each statementA. Positive + PositiveB. positive + negativeC. negative + negative
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A) Positive
B) Negative
C) Positive
Explanation:[tex]\begin{gathered} A)\text{ Positive }\times\text{ positive:} \\ +\text{ }\times\text{ + = +} \\ mu\text{ltiplication of same signs gives positive sign} \\ \text{Positive }\times\text{ positive = positive} \\ \text{Example: +5 }\times\text{ +6 = +30} \end{gathered}[/tex][tex]\begin{gathered} B)\text{ Positive }\times\text{ negative:} \\ +\text{ }\times\text{ - = -} \\ m\text{ ultiplication of opposite signs give negative sign} \\ \text{Positive }\times\text{ negative = negative} \\ \text{Example: +3 }\times\text{ -2 = -6} \end{gathered}[/tex][tex]\begin{gathered} C)\text{ Negative }\times\text{ Negative} \\ -\text{ }\times\text{ - = +} \\ mu\text{ltiplication of same signs gives positive sign} \\ \text{Negative }\times\text{ Negative = positive} \\ \text{Example: -7 }\times\text{ -8 = +56} \end{gathered}[/tex]Create an equation with parentheses and a solution of x=2
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ok
3(x + 4) = 18
Solution
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3
x = 2
The following equation is given.x4 + 6x3 + 6x2 + 6x +5=0a. List all possible rational roots.b. Use synthetic division to test the possible rational roots and find an actual root.Actual rational root: c. Use the root from part (b.) and solve the equation.The solution set of x4 + 6x2 + 6x2 + 6x + 5 = 0
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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x^4 + 6x^3 + 6x^2 + 6x +5=0
roots = ?
Step 02:
a. possible rational roots
rational root theorem:
possible rational roots = factors of the constant / factors of the lead
x^4 + 6x^3 + 6x^2 + 6x + 5=0
lead = 1
constant = 5
factors of the coefficient, 1 are ±1
factors of the constant term, 5 are ±1 , ±5
possible rational roots = (±1 , ±5) / ±1
possible rational roots = ±1 , ±5
Step 03:
b. synthetic division
possible rational root:
(x + 1) ===> x = - 1
-1 | 1 6 6 6 5
| -1 -5 -1 - 5
------------------------------
1 5 1 5 0
The remainder is 0
Step 04:
c. solve the equation
x = -1
x^4 + 6x^3 + 6x^2 + 6x + 5 = 0
[tex]\begin{gathered} (-1)^4+6(-1)^3+6(-1)^2+6(-1)+5=0 \\ 1\text{ - 6 + 6 - 6 + 5 = 0} \\ 0\text{ = 0 } \end{gathered}[/tex]That is the full solution.
4. (01.02 MC)There are (4^2)^3 * 4^0 horses on a stud farm. What is the total number of horses on the farm? (1 point)04^64^74^24
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find the sum of the interior angles of a regular decagon
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decagon = 10 sides
angles = 180(n - 2)
angles = 180(10 - 2)
angles = 180(8)
angles = 1440°