When you send mail via the post office, you have an 80% chance that it is delivered to the correct location.If 430 letters are delivered on Monday, then what is a reasonable prediction for the number of letters that aredelivered to the incorrect location?letters delivered incorrectly.On Tuesday, it is reported that 500 letters were delivered to the correct location. Based on this information,how many letters were delivered on Tuesday?total letters
Answers
For the first question, we just need to find how many letters are delivered incorrectly. Since we know that 80% of the letters are delivered to the correct location, it means the the remaining 20% of the letters are delivered to a wrong location.
With this, we can solve for the number of letters that were delivered to the incorrect location through multiplying the total number of letters by 20% or 0.20.
Let x be the number of letters that were delivered incorrectly
[tex]x=430(0.20)[/tex][tex]x=86[/tex]There were 86 letters that are delivered to the wrong location on Monday.
For the second part, we need to know the total number of letters delivered given that 80% of it, which is 500 letters, were delivered to the correct location. Since we know that in order to find the percentage of the letters, we need to divide number of delivered letters to the correct location by the total amount of letters.
Let N be the total amount of letters delivered.
[tex]\frac{500}{N}=0.80[/tex][tex]N=\frac{500}{0.80}[/tex][tex]N=625[/tex]Therefore, there was a total of 625 letters delivered on Tuesday.
Related Questions
3. The table shows the linear relationship between the balance of a student's savings account and the number of weeks she has been saving. Savings Account Week 0 1 2 4 7 12 Balance (dollars) 24 32 40 56 80 120 Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?
Answers
The number of weeks are 0 1 2 4 7 12
The balances are 24 32 40 56 80 120
The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as
Slope = (y2 - y1)/(x2 - x1)
y1 and y2 would be consecutive values of the balance
x1 and x2 would be consecutive values of the number of weeks
When x1 = 0, y1 = 24
When x2 = 1, y1 = 32
Slope = (32 - 24)/(1 - 0)
Slope = 8
The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week
Formula: [tex]t = 50 + \frac{n - 40}{4} [/tex]Where T is temperature in Fahrenheit and N is a number of chirps per minute. If T=60°F, find the number of chirps per minute.
Answers
In order to find the value of N in the equation when T = 60, we just need to apply the value of T and then calculate the value of N.
So we have that:
[tex]\begin{gathered} T=50+\frac{N-40}{4} \\ 60=50+\frac{N-40}{4} \\ \frac{N-40}{4}=10 \\ N-40=40 \\ N=80 \end{gathered}[/tex]So the number of chirps per minute is 80
of every five hot dogs Martha sold, 3 had sauerkrauts. what percent of the hot dogs sold had sauerkrauts?a. 6%b. 3/5%c. 60%d. 0.6%
Answers
Solve this system of equations by graphing. First graph the equations, and then type the solution.y=3x–1y=–3x–7
Answers
In general, to graph a line on the plane, find two points on it and cross them using a straight line.
Finding two points of each of the two lines
[tex]\begin{gathered} y=3x-1 \\ x=1\Rightarrow y=2 \\ \Rightarrow(1,2) \\ x=0\Rightarrow y=-1 \\ \Rightarrow(0,-1) \end{gathered}[/tex]And
[tex]\begin{gathered} y=-3x-7 \\ x=0\Rightarrow y=-7 \\ \Rightarrow(0,-7) \\ x=1\Rightarrow y=-10 \\ \Rightarrow(1,-10) \end{gathered}[/tex]Thus, the graphs are
y=3x-1
y=-3x-7
Graph both lines at the same time, the intersection point is the solution to the system
Thus, the solution is (x,y)=(-1,-4)
hello could you please tell me if I have selected the right answer?
Answers
we need to reduce
[tex]\frac{-28x^2y}{7xy^2}[/tex]this can be computed as
[tex](-\frac{28}{7})(\frac{x^2}{x})(\frac{y}{y^2})[/tex]hence, we have
[tex](-4)(x)(\frac{1}{y})[/tex]which is equal to
[tex]\frac{-4x}{y}[/tex]for a new problem, ou must start a new session (Brainly rules). One question per session helps you to find the question at anytime and helps other students to find the answer for the same question.
GP 3: Haley is making admission tickets to the middle school dance. So far she has made 112 tickets, and her planis to make 320 tickets.What percent of the admission tickets has Haley produced so far?VerbalPractionDecimal
Answers
The 100% of tickets are 320 tickets (this is Haley's goal), she made 112 tickets. To determine what percentage of 320 does 112 represent you can use cross multiplication:
320 ____ 100%
112 _____ x%
Both relations are at the same ratio so that
[tex]\begin{gathered} \frac{100}{320}=\frac{x}{112} \\ x=112(\frac{100}{320}) \\ x=35 \end{gathered}[/tex]112 tickets represent 35% of 320, which means that she made 35% of the admission tickets so far.
In a survey of 200 people, 32% had a son, 30% had a daughter, and 11% had both a sonand a daughter. What is the conditional probability that a person who has a son also hasa daughter? Round to the nearest whole number.
Answers
We have the following probabilites:
[tex]\begin{gathered} P(\text{had a son)=P(s)}=0.32 \\ P(\text{had a daughter)}=P(d)=0.3 \\ P(\text{had both son and daughter)}=P(d\cap s)=0.11 \end{gathered}[/tex]Following the definition of conditional probability:
[tex]P(A|B)=\frac{P(A\cap B)}{P(A)}[/tex]In this case, we want to calculate the conditional probability that a person has a daughter given that he/she already has a son. Then, the probability is:
[tex]P(d|s)=\frac{P(d\cap s)}{P(s)})=\frac{0.11}{0.32}=0.34[/tex]therefore, the conditional probability that a person who has a son also has a daughter is 34%
The equation for line G can be written as Y=7/2x wine H includes the point -2 and -3 and is parallel to line G what is the equation of line H
Answers
The equation of H passing through (-2,-3) and parallel to G is 7x - 2y + 8 = 0
Given :
Equation of G is Y = 7/2x
2Y = 7x
7x - 2Y = 0
Slope of G = -a/b = -7/-2 = 7/2
Since H is parallel to G , slope of H = slope of G
slope of H = 7/2
Equation of line H passing through (-2,-3) and slope m = 7/2 is
y - y1 = m(x - x1)
y - (-3) = 7/2(x - (-2))
y + 3 = 7/2(x + 2)
2(y + 3) = 7(x + 2)
2y + 6 = 7x + 14
7x - 2y + 8 = 0
Slope of equation ax + by + c = 0 is -a/b.
Equation of line passing through points (x1,y1) and slope m is y-y1=m(x-x1).
If two lines are parallel , there slopes will be equal.
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Gabriel McKernan, a radio announcer, is married, earns $368.23 weekly, and claims 2 allowances. According to the tablebelow, what amount will be withheld for FIT?
Answers
The about withheld for the FIT tax, considering the given table, is of:
B. 8.
How to obtain the amount withheld by the FIT tax?The table gives the fixed amount withheld by the FIT tax, considering the weekly pay and the number of allowances claimed.
For Gabriel McKernan, the amount of tax paid is obtained as follows:
Fourth interval of payment, as a weekly salary of $368.23 is between 360 and 370. Married, as this table is only for married people.Two allowances.Hence the amount of taxes paid by Gabriel McKernan is found looking at the fifth column of the last row of the table, and is of 8.
Thus the correct option regarding how much he pays for the FIT tax is given by option B.
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Bella has a bucket of Legos. She chose a Lego,recorded the color, and placed it back in the bucket.She did this 40 times. The table shows the results.ColorNumberRed4White10Blue8Green18Based on the results in the table, what is theexperimental probability that the next time Bellachooses a Lego it will be a white or blue?
Answers
Answer
Probability that the next time Bella chooses a Lego, it will be a white or blue
= (9/20)
= 0.45
Explanation
The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.
Number of white or blue legos = 10 + 8 = 18
Total number of legos = 4 + 10 + 8 + 18 = 40
Probability that the next time Bella chooses a Lego, it will be a white or blue
= (18/40)
= (9/20)
= 0.45
Hope this Helps!!!
c/4=16 can you help me solve
Answers
[tex]\frac{C}{4} =16[/tex]
Multiply both sides by 4:
[tex](\frac{C}{4} )\times(4)=(16)\times(4)[/tex]
[tex]\fbox{C=64}[/tex]
Hope this helps!
Match each data set with the value that best describes its center.6 2 4 9Data set A: 2, 3, 1, 4, 2,0,0Data set B: 6.4, 5, 6, 5, 7, 8, 7Data set C: 1, 4, 0, 2, 4, 4, 6, 7Data set D: 7, 8, 10, 11, 8, 9, 10, 9, 11
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
data set
center = ?
Step 02:
We must analyze the data sets to find the solution.
Data set A: 2, 3, 1, 4, 2, 0 , 0 ===> 4
Data set B: 6 , 4, 5, 6, 5, 7, 8, 7 ===> 6
Data set C: 1, 4, 0, 2, 4, 4, 6, 7 ===> 2
Data set D: 7, 8, 10, 11, 8, 9, 10, 9, 11 ===> 9
That is the full solution.
sitting with her and not a certain number is a solution to a given inequality
Answers
Answer
Check Explanation
Explanation
12) x ≥ -6; 4
This says that x is equal to or greater than -6. So, 4 is greater than -6 and definitely fits this condition. 4 is a solution to the given inequality.
13) n < 8; 11
This says n is less than 8. So, 11 isn't less than 8 and it doesn't fit this condition. 11 is not a solution to this given inequality.
14) k ≤ 2; (4/3)
This says k is less than or equal to 2. So, (4/3) is less than 4 and it fits this condition. (4/3) is a solution to this given inequality.
15) a > 15; 15
This says a is greater than 15. 15 is not greater than 15 and doesn't fit this condition. 15 is not a solution of this inequality.
16) w ≤ -1.6; 1.7
This says w is less than or equal to -1.6. And 1.7 is not less than -1.6 and doesn't fit this condition. 1.7 is not a solution of this inequality.
17) r ≥ (-5/9); (-3/2)
This says r is greater than or equal to (-5/9). And (-3/2) is less than (-5/9) and doesn't fit into this condition. (-3/2) is not a solution of this inequality.
Hope this Helps!!!
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why HIJ KLM? Check all that apply. A. HL B. HA C. AAS D. LL E. ASA F. LA
Answers
The congruency postulates or theorem that could be given as reasons why ΔHIJ ≅ ΔKLM are;
B. HA
C. AAS
What makes two triangles congruent?Two triangles are congruent is they satisfy one of the congruency theorems which includes;
AAS; Angle-angle-Side congruency postulateASA; Angle-Side-Angle congruency postulateSAS; Side-Angle-Side congruency postulateSSS; Side-Side-Side congruency postulateHL; Hypotenuse length congruency theoremHA; Hypotenuse angle congruency theoremThe information in the diagram of the question are;
Angle ∠IHJ in triangle ΔHIJ is congruent to a angle ∠LKM in ΔKLM
Angle ∠IJH in triangle ΔHIJ is congruent to angle ∠LMK in triangle ΔKLM
Segment [tex]\overline{IJ}[/tex] in triangle ΔHIJ is congruent to [tex]\overline{LM}[/tex] in triangle ΔKLM
The information in the question can be described as follows;
Two adjacent angles and a non included angle in triangle ΔIJH are congruent to two angles and the non included side in ΔKLM
Therefore;
Triangle ΔHIJ is congruent to triangle ΔKLM by Angle-Angle-Side, AAS congruency postulateAngle ∠IHJ in triangle ΔHIJ = 90° and angle ∠LKM in triangle ΔKLM = 90°
Therefore, triangle ΔHIJ and triangle ΔKLM are right triangles
The hypotenuse side in triangle ΔHIJ is congruent to the hypotenuse side of ΔKLM
From the diagram, angle ∠IJK is congruent to angle ∠LMK, therefore;
Triangle ΔHIJ is congruent to ΔKLM by Hypotenuse-Angle, HA congruency postulateHypotenuse Angle, HA, congruency theorem states that two triangles are congruent if the hypotenuse side and the acute angle of one right triangle are congruent the hypotenuse side and one acute angle of the other right triangle
The correct options are; B. HA, and C. AAS
Learn more about the rules of congruency between triangles here:
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Find the absolute change and the relative change in the following case.The average sale of a house decreased from $333,000 in February 2008 to $188,000 in February 2013.wwwThe absolute change is(Simplify your answer. Type an integer or a decimal.)
Answers
Given:
The average sale of a house decreased from $333,000 in February 2008 to $188,000 in February 2013.
Required:
To find the absolute change and the relative change.
Explanation:
The absolute change is
[tex]\begin{gathered} =188,000-333,000 \\ =-145,000 \end{gathered}[/tex]The relative change is
[tex]\begin{gathered} =100\times(\frac{188,000-333,000}{333,000}) \\ \\ =100\times(-0.4354) \\ \\ =-43.54\% \\ \\ =-44\% \end{gathered}[/tex]Final Answer:
Absolute change = -145,000
Relative change = -43.54%
identify the term of the expression 11r + 7s then give the coefficient of each terms
Answers
We have an expression:
[tex]11r+7s[/tex]It has 2 terms with two unknowns: r and s.
Their coefficients are 11 for r and 7 for s.
Answer:
11r+7s is the expression.
11r and 7s are the terms.
11 and 7 are the coefficients.
r and s are the variables or unknowns.
Find θ to four significant digits for 0< θ<2 π if tan θ= -0.3573
Answers
Given:
[tex]tan\theta=-0.3573[/tex]Aim:
[tex]We\text{ need to find the value of }\theta.[/tex]Explanation:
[tex]tan\theta=-0.3573[/tex]Taking inverse trigonometry on both sides.
[tex]tan^{-1}tan\theta=tan^{-1}(-0.3573)[/tex][tex]\theta=tan^{-1}(-0.3573)[/tex][tex]\theta=-19.6618087737[/tex][tex]\theta\approx-19.6618[/tex]We know that
[tex]tan(180+\theta)=tan\theta[/tex][tex]tan(180-19.6618)=tan(-19.6618)[/tex][tex]tan(160.3382)=tan(-19.6618)[/tex]The angels are
[tex]-19.6618\text{ and 160.3382}[/tex]Final answer:
[tex]\theta=19.6618,160.3382[/tex][tex]4^-8[/tex] fraction form.
Answers
[tex]4^{-8} \\=\frac{1}{4^{8} } \\=\frac{1}{65536}[/tex]
the negative exponent downsize the whole power. That is why as a results we have the fraction.
The Pythagorean theorem Find each missing length to the nearest length
Answers
To find any missing length in a right triangle, we use the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]Where a is the length of the hypotenuse, the longest side.
In the given right triangle:
• a=8.9
,• b=4
,• c=8
We check if this satisfies the Pythagorean Theorem:
[tex]\begin{gathered} a^2=4^2+8^2 \\ a^2=16+64 \\ a^2=80 \\ a=\sqrt[]{80} \\ a=8.9\text{ units} \end{gathered}[/tex]Thus, we see that the Pythagorean Theorem holds.
line has a slope of 2 and includes the points (–1,k) and (0,10). What is the value of k?
Answers
Answer:
k=8
Step-by-step explanation:
METHOD 1:
We will create an equation for slope intercept, y=2x+ 10Then we replace x with -1, y=2(-1)+10Multiply -1 and 2, y=-2+10Combine like terms, so y=8Because y=k, k=8METHOD 2:
We can also use [tex]\frac{y_{2}- y_{3} }{x_{2}- x_{1} } =2[/tex]We replace all values we know, so that we get, [tex]\frac{10-k}{0-(-1)}=2[/tex]Then we subtract -1 for 0 so we get, [tex]\frac{10-k}{1} =2[/tex]Then remove the 1 because anything divided by 1 is the dividend, 10-k=2Subtract two from both sides so 8-k=0add ka on both sides so 8=kJewels homework Culver's multiplication with powers of 10 the first questions of her homework is 32.4 * 10
Answers
calculate the value of m if the lines 3x-my=15 makes an angle of 45° with the line 3x+5y=7please help me to solve this?
Answers
To find angle between two lines, we use the formula,
[tex]\tan \theta=\frac{m_1-m_2}{1+m_1m_2}[/tex]Where
θ is the angle between two lines
m1 is the slope of the first line
m2 is the slope of the second line
First Line Equation:
[tex]\begin{gathered} 3x-my=15 \\ my=3x-15 \\ y=\frac{3}{m}x-\frac{15}{m} \end{gathered}[/tex]The slope is 3/m
Second Line Equation:
[tex]\begin{gathered} 3x+5y=7 \\ 5y=-3x+7 \\ y=-\frac{3}{5}x+\frac{7}{5} \end{gathered}[/tex]The slope is -3/5
The angle between the two lines is 45°.
Let's substitute the known information into the formula and figure out the value of 'm':
[tex]undefined[/tex]Is the triangle with the vertices A(7,3), B(0,7), and C(-8, -7) a right triangle?Is the triangle a right triangle?O YesO No
Answers
Solution
We want to use coordinate geometry to determine if the triangle is a right triangle
We can find the distance between all the three vertices.
The formula for distance between two points ( x1 , y1 ) and ( x2, y2) is given as :
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Let us start by finding the distance AB
Let us find the distance BC
Now let us find the distance AC
The triangle will be a right triangle if it obeys pythagoras theorem
Pythagoras' theorem says if we square the longest side in a right triangle , then it must be equal to the sum of the squares of the other two sides
Let us see if that works. If it works, the triangle is right triangle. If it doesn't work, we conclude otherwise.
So we can say that only right triangle obeys pythagoras' theorem.
Now lets verify
Longest side is AC
[tex]AC=5\sqrt{13}[/tex][tex]\begin{gathered} AC^2=(5\sqrt{13)^2}=\text{ }5\sqrt{13}\times5\sqrt{13}=325 \\ AC^2=325 \end{gathered}[/tex]
Let us find the sum of the squares of AB and BC
[tex]\begin{gathered} AB^2+BC^2=\sqrt{65^2}+(2\sqrt{65)}^2 \\ AB^2+BC^2=65+260=325 \end{gathered}[/tex]Now we observe that ;
[tex]AC^2=AB^2+BC^2[/tex]The triangle given is a right triangle
Our choice is Yes
A car speeding around a track left skid marks in the shape of an arc of a circle. Thechord distance between the endpoints of the skid marks is 550 feet. The chord is 100feet from the center of the circle.What is the radius of the arc made by the skid marks? Round to the nearest tenth.559.9 ft.256.2 ft.550 ft.540.8 ft.x ft.100 ft292.6 ft.
Answers
In the given problem, the chord of the circle forms right triangles with a perpendicular line that passes through the center of the circle. Therefore, the length of the chord is bisected and we get the following triangles:
We can use the Pythagorean theorem to determine the value of the radius:
[tex]r^2=(\frac{550}{2})^2+100^2[/tex]Solving the operations:
[tex]\begin{gathered} r^2=275^2+100^2 \\ r^2=75625+10000 \\ r^2=85625 \end{gathered}[/tex]Now we take the square root to both sides:
[tex]\begin{gathered} r=\sqrt[]{85625} \\ r=292.6 \end{gathered}[/tex]Therefore, the radius of the arc is 292.6 ft.
where can we put parentheses in (21+21)÷7 to make it equivalent to 6
Answers
Answer:
we don't need to put parenthesis to the expression:
(21+21) ÷ 7
Explanation:
The expression (21+21)÷7 is already equivalent to 6 because to solve the equation, we first need to make the sum and then the division:
(21+21) ÷ 7
42 ÷ 7
6
Therefore, we don't need to put parenthesis to the expression:
(21+21) ÷ 7
14. Find the value of x, given that 4(3x + 2) = 44.
Answers
Answer:
x = 3
Step-by-step explanation:
Let us use BODMAS:
1) 4(3x + 2) = 44 → We have to multiply 4 by what's in the brackets
2) 12x + 8 = 44 → We have to isolate the 12x, therefore, we have to move 8 to the other side. And remember, when we move a positive number to the other side, it turns negative.
3) 12x = 44 - 8 → Subtract 8 from 44
4) 12x = 36 → Now, we need the x alone. Therefore, we divide 12 by both sides.
5) x = 3
Given that 4(3x+2) = 44 and that 12x+8 = 44, determine the value of x.
12x = 44 - 8
By applying the equation 12x = 36x = 36/12, we can deduce that x = 3.
What is the range of the function graphed below?у654GO2-11.2.3.4.5.6-5.-5.-4.-3.-2-112136 N4..5க
Answers
From the given graph
The end points of the curve is y = + 3 and y = -3
The point + 3 is shadded while point - 3 is not shadded hence
The range of the function is
[tex]-3can you help me solve this?Identify the property being used
Answers
Solution
- The question asks us for which property is used in the following equation
[tex]2(RB)\cos \theta=2R(B\cos \theta)[/tex]- The question uses the Commutative Property of Multiplication.
- This property is stated below:
[tex]A(DC)=C(AD)[/tex]Final Answer
The answer is Commutative Property of Multiplication
Find the length of AB.A А.AB = [ ? ]m140°8 mB.Round your answer to the nearest hundredth.Enter
Answers
The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:
[tex]\begin{gathered} l=\frac{\theta}{360}\text{ x 2}\pi r \\ \text{where }\pi\text{ =3.142} \\ \end{gathered}[/tex]We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB
[tex]\begin{gathered} \text{Length(AB) =}\frac{140}{360}\text{ x 2 x 3.142 x 8} \\ \text{Length(AB) =0.3889 x 2 x 3.142 x 8} \\ \text{Length(AB)}=\text{ 19.55m} \end{gathered}[/tex]In conclusion, the length AB = 19.55m
Answer this question and show me how to check it
Answers
In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.
For the length, we have:
[tex]\begin{gathered} 8\cdot10^4 \\ =8\cdot10000 \\ =80000\text{ meters} \end{gathered}[/tex]For the thickness, we have:
[tex]\begin{gathered} 5\cdot10^{-6} \\ =5\cdot0.000001 \\ =0.000005\text{ meters} \end{gathered}[/tex]