Answer:
z = -165
Step-by-step explanation:
z
Simplify ——
11
z
—— - -15 = 0
11
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 11 as the denominator :
-15 -15 • 11
-15 = ——— = ————————
1 11
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
z - (-15 • 11) z + 165
—————————————— = ———————
11 11
Equation at the end of step 2 :
z + 165
——————— = 0
11
Step 3 :
When a fraction equals zero :
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
z+165
————— • 11 = 0 • 11
11
Now, on the left hand side, the 11 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
z+165 = 0
Solving a Single Variable Equation :
3.2 Solve : z+165 = 0
Subtract 165 from both sides of the equation :
z = -165
One solution was found :
z = -165
researchers are concerned that the weight of the average american school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. if x is the weight of school children sampled in a nationwide study without rounding, what is x an example of?
X in an example of stochastic variable.
What is meant by stochastic variables?
Typically, a random (or stochastic) variable is defined as a variable that can assume more than one value due to chance.
The correct answers are: (a) stochastic variable: By stochastic variable we mean a variable (here X: the weight of students) whose values are subject to variation due to chance.
Here since X is the weight of the children sampled, hence X will vary along with change in the sampling units which gets selected by chance.
Hence X for a sample A and X value for a different sample B will be different. So the values of X vary due to chance ( chance takes part in the selecton of the sample). So X is a stochastic variable.
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The complete question is -
Researchers are concerned that the weight of the average American school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. If X is the weight of school children sampled in a nationwide study, then X is an example of a stochastic variable. a parameter. a categorical variable. a continuous variable.
Deborah bought 3 identical bindersand received $1.15 change from $10.00. Use algebra to find out how much each binder cost. Show your work.
Answer:
$2.95
Step-by-step explanation:
math
The cost of each binder is $2.95.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Deborah bought 3 identical binders.
He received $1.15 change from $10.00.
Cost for 3 binders = $10.00 - $1.15
= $8.85
Since the 3 binders are identical, each costs the same.
Cost of each binder = $8.85 / 3
= $2.95
Hence the cost of each binder is $2.95.
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Vincent and his family were consuming 10 pounds of chicken per week when his income was $1,000 a week. He got an increase in income so the family is now consuming 8 pounds of chicken per week. What type of a good is chicken?
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Based on the given information, chicken is likely an inferior good. When Vincent's income increased, the family's consumption of chicken decreased from 10 pounds per week to 8 pounds per week. This inverse relationship between income and quantity consumed suggests that chicken is considered an inferior good.
An inferior good is a type of good for which demand decreases as income increases. In this case, when Vincent's income increased, the family's consumption of chicken decreased. This implies that chicken is not a normal good, where demand typically increases with higher income. Instead, chicken is considered an inferior good, as the decrease in income leads to an increase in the quantity of chicken consumed.
The concept of inferior goods is often observed when individuals and households can afford to consume higher-quality or more desirable alternatives as their income increases. In the case of chicken, as income rises, individuals may shift their consumption towards other types of meat or protein sources, resulting in a decrease in the demand for chicken.
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round 8.456 to the nearest tenth
Answer:
It's 8.46 cause the preceding digit to 4=5
Hope it helps
Have a good day
Answer:
8.456 rounded to the nearest tenth = 8.5
Step-by-step explanation:
To round 8.456 to the nearest tenth consider the hundredths’ value of 8.456, which is 5 and equal or more than 5. Therefore, the tenths value of 8.456 increases by 1 to 5.
how to find the greatest number of students to whom 135pens 225 books and 315 copies can be divided equally also find the shares of each item . maths
Answer:
The items can be equally shared between 45 students.
Each student will get 3 pens, 5 books and 7 copies.
Step-by-step explanation:
We have to find the GCF (Greatest common factor) of 135 , 225 and 315.
135 = 5 * 3 * 3 * 3 = 45 * 3
225 = 5 * 5 * 3 * 3 = 45 * 5
315 = 5 * 3 * 3 * 7 = 45 * 7
GCF = 5 * 9 = 45
The items can be equally shared between 45 students.
Each student will get 3 pens, 5 books and 7 copies.
if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn
Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
1a.We have a weighted coin where the probability of throwing "heads" is p=0.65. Which is more probable:
(i) throwing exactly 15 heads in 20 throws or
(ii) throwing at most 2 heads in 5 throws?
1b. Suppose we flip a fair coin 4 times. For what combination(s) do there exist exactly 3 permutations?
1c. We have a box containing 5 red balls and 3 black balls. Suppose well pull out three balls sequentially, and do not place them back into the box after they’ve been pulled. What is the probability of selecting, in order, a black ball, a red ball, and then another black ball?
1.a The probability of throwing at most 2 heads in 5 throws is more probable.
1.b A total of 2^4 = 16 outcomes.
1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.
1a. Probability of throwing exactly 15 heads in 20 throws
Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.
Let X be the random variable which counts the number of heads in 20 throws.
Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16
Probability of throwing at most 2 heads in 5 throws
Let Y be the random variable which counts the number of heads in 5 throws.
Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)
= 0.01 + 0.08 + 0.25
= 0.34
Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.
1b. Suppose we flip a fair coin 4 times.
For what combination(s) do there exist exactly 3 permutations?
There are a total of 2^4 = 16 outcomes.
The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.
1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.
The total number of ways of pulling out 3 balls is 8C3.
The probability of pulling out a black ball on the first draw is 3/8.
The probability of pulling out a red ball on the second draw is 5/7.
The probability of pulling out another black ball on the third draw is 2/6 = 1/3.
So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.
Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.
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vi. Which one of the following is NOT a perfect square?
a. 625
b. 156
c. 196
Answer:
b. 156
Step-by-step explanation:
A "perfect square" is the product of an integer that is being multiplied by itself.
Choice a, 625, is a perfect square because it is the product of 25 multiplied by itself.
25 x 25 = 625Choice b, 156, is not a perfect square because you cannot find any integer that can be multiplied by itself that will result in 156 as a product. Therefore, this is the correct answer.
Choice c, 196, is a perfect square because it is the product of 14 multiplied by itself.
14 x 14 = 196Need some assistiance.
Answer:
B. 1 1/7
Step-by-step explanation:
Pls, choose me as brainliest!
the sum of twice a
number and 31
Answer:
Let the unknown number be x ;
\(2(x) +31\\=2x+31\)
Step-by-step explanation:
A triangle has two sides of length 12 and 18. What is the smallest possible whole-number length for the third side?
Answer:
7
Step-by-step explanation:
You want the integer length of the shortest third side that will form a triangle with sides 12 and 18.
Triangle inequalityThe triangle inequality requires the sum of any two sides exceed the measure of the third side. If x is the short side, we want ...
x +12 > 18
x > 6 . . . . . . subtract 12
The smallest integer greater than 6 is 7.
The third side must be at least 7 units long.
__
Additional comment
Some authors write the triangle inequality as a+b≥c. If you use that version, then the shortest side can be 6 units. The resulting "triangle" will have zero area, and will look like a line segment 18 units long.
Factor the expression 4x^2 - 12x - 7
Answer:
(2x+1) (2x-7)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant 4 • -7 = -28
Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12
( -28 + 1 = -27
-14 + 2 = -12 )
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
4x2 - 14x + 2x - 7
Add up the first 2 terms, pulling out like factors :
2x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Add up the four terms :
(2x+1) • (2x-7)
What is the area of the triangle?
12cm
12cm
10cm
15cm
Answer:
A=h×b/2
This is formula of finding area of triangle
I DIDNT UNDERSTAND UR QUESTION
HEIGHT IS NOT MENTIONED AND BASE IS NOT MENTIONED.. JUST 4 OPTION TYPE NUMBERS ARE THERE... CAN U WRITE THE QUESTION PROPERLY
Let f(x)=10x+14 f ^−1 (x)=
The inverse of the function is \(f^{(-1)\)(x) = (x - 14)/10.
To find the inverse function of f(x) = 10x + 14, we'll interchange x and y and solve for y.
Step 1: Replace f(x) with y:
y = 10x + 14
Step 2: Swap x and y:
x = 10y + 14
Step 3: Solve for y:
Subtract 14 from both sides:
x - 14 = 10y
Divide both sides by 10:
(y = (x - 14)/10
Now, we have the inverse function of f(x):
\(f^{(-1)\)(x) = (x - 14)/10
Thus, the inverse of the function is \(f^{(-1)\)(x) = (x - 14)/10.
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Help me out with this question!! 50 points
C
The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C
The correct answer is D) The first inequality should be s + h ≤ 1800.
The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.
The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.
A carton of milk has 4 cups left. If each serving of milk is of a cup, how many servings are left?4 cupscupscups8 cups
A carton of milk with 4 cups left means there are 4 servings remaining, assuming each serving is one cup.
If a carton of milk has 4 cups left and each serving of milk is one cup, it means that there are 4 servings of milk left in the carton.
To determine the number of servings, we can divide the total number of cups by the number of cups per serving. In this case, we divide 4 cups by 1 cup per serving:4 cups ÷ 1 cup/serving = 4 servings
Therefore, there are 4 servings of milk left in the carton.
Alternatively, we can think of it this way: if each serving of milk is one cup, and there are 4 cups left in the carton, we can simply say that there are 4 servings remaining.
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A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?The exponential function decays at one-half the rate of the quadratic function.The exponential function decays at the same rate as the quadratic function.The exponential function decays at two-thirds the rate of the quadratic function.The exponential function decays at three-fourths the rate of the quadratic function.
how many three-letter initials with none of the letters repeated can people have?
To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.
To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.
After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.
Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.
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Find y subject to the conditions dy/dx=3x−2 and y(2)=−2
The particular solution to the differential equation dy/dx = 3x - 2 that satisfies the initial condition y(2) = -2 is:
y = (3/2)x^2 - 2x - 7.
Given dy/dx=3x−2 and y(2)=−2, we can solve for y.
Using the given information, we can integrate both sides for x to get the following:
dy/dx = 3x - 2 ⇒ ∫ dy = ∫ (3x - 2) dx
Integrating both sides of the equation to x, we get
y = (3/2)x^2 - 2x + C, where C is an arbitrary constant.
To find the value of C, we can use the initial condition y(2) = -2, which means that when x = 2, y = -2.
Substituting these values in the equation, we get:
-2 = (3/2)(2^2) - 2(2) + C
⇒ C = -7
Putting this value of C in the equation for y, we get:
y = (3/2)x^2 - 2x - 7
Therefore, the solution to the differential equation dy/dx = 3x - 2 subject to the initial condition y(2) = -2 is y = (3/2)x^2 - 2x - 7.
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A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
Determine the probability that the team won a randomly selected game.
0.17
0.37
0.83
0.85
Answer:
0.85
Step-by-step explanation:
Answer:0.83
Step-by-step explanation:
Can SAS be proven congruent?
Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.
What is SAS Congruence rule?Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,
In above given figure, sides
RS = RS ( common side)
QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.
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PLEASE HELP (WILL MARK BRAINLEST!!!) Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different
Answer:
subtract 2x from both sides
divide both sides by 3
In y = mx + b form (slope intercept form), the slope will be in the m position and the y int will be in the b position
as u can see, the number in the m position (the slope) = -2/3
and the number in the b position (the y int) = 490 or (0,490)
Step-by-step explanation:
Answer:
Sal will have at least 5 dollars for every meal.
Step-by-step explanation:
Sal will have 5 dollars for every meal because, In the sentence, It says, The profits are the same. Each thing costs $3 and $2 for each meal which is five.
Explaning process:
divide 1,593 and 5.
Sal will use 6 dollars for every day and 1593 dollars for each month. For six months, the cost will be 9558.
Step-by-step differences and similars.
The first graph says find the slope-intercept method
y=6.
The more simple way to do this is the one above
erald is having drain issues at his home and decides to call a plumber. The plumber charges $45 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $250, how many hours did the plumber work? Write and solve an equation to determine the number of hours worked by the plumber.
A. 45x + 50 = 250; x = 4.4 hours
B. 45x− 50 = 250; x = 6.7 hours
C. 50x + 45 = 250; x = 4.1 hours
D. 50x − 45 = 250; x = 5.9 hours
Answer:
dont worry im here to help!
Step-by-step explanation:
THE ANSWER IS C.
50x is 50 x the amount of hours worked and the amount of hours worked is 4.1 hours. every hour is 50$ charged and then it was 45$ charge for the worker to come in
50 x 4.1 = 205
205 + 45 = 250
The equation to determine the number of hours worked by the plumber is C. 50x + 45 = 250; x = 4.1 hours
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the plumber charges $45 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $250, then we have;
Let x be the amount of hours worked and the amount of hours worked is 4.1 hours.
Every hour is 50$ charged and then it was 45$ charge for the worker.
Therefore, the equation would be;
50x + 45 = 250
TO check;
50 x 4.1 = 205
205 + 45 = 250
Hence, the equation to determine the number of hours worked by the plumber is C. 50x + 45 = 250; x = 4.1 hours
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what is the sampling process used on dollar street? in other words, the sample of families on the dollar street page were collected using a sample that is .
The sampling process used on dollar street is stratified sampling.
Given,
Use of dollar street;
Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.
Here,
Stratified sampling;
To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.
Therefore,
Stratified sampling is used in dollar street for sampling process.
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Rujuan
If angle X and Y are complementary angles, which of the following must be true?
O sinX = siny
O cosx = cosY
O tanX = tany
O sinX = COSY
Answer:
Sin X=Cos Y
Step-by-step explanation:
Objective: Understand trigonometric relations such that
Cosine and Sine are similar to complementary angles that if X+Y are complementary angles,
Cos X= Sin Y and Cos Y= Sin X
find an equation of the plane. the plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)
The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).
To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.
Step 1: Find two vectors in the plane.
Let's find two vectors by taking the differences between the given points:
Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)
Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)
Step 2: Find the normal vector.
The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:
Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)
Step 3: Write the equation of the plane.
Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:
n · (x, y, z) = n · (0, 6, 6)
Step 4: Simplify the equation.
Substituting the values of n and the chosen point, we have:
(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)
Simplifying further:
\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)
Therefore, the equation of the plane passing through the given points is:
\(36x + 36y + 36z = 432\)
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the expected number of inches of rain on saturday is 2 and the expected number of inches on sunday is 1. however, if there is no rain on saturday there is guaranteed to be no rain on sunday. what is the expected number of inches of rainfall total over the weekend?
If the expected number of inches of rain on saturday is 2 and the expected number of inches on sunday is 1, the expected number of inches of rainfall over the weekend is 7/3.
To solve the problem, we need to use the concept of conditional probability. Let's denote the total rainfall over the weekend by X, and the rainfall on Sunday by Y. We know that E(Y) = 1 and that if there is no rain on Saturday, Y = 0. Therefore, we need to calculate the conditional expectation of X given that there is no rain on Saturday.
If there is rain on Saturday, the expected value of X is 2+1 = 3. If there is no rain on Saturday, the expected value of X is just E(Y) = 1. We can write this as:
E(X | no rain on Saturday) = E(X | rain on Saturday) * P(rain on Saturday) + E(Y | no rain on Saturday) * P(no rain on Saturday)
We know that P(no rain on Saturday) = 1/3 (since the probability of rain on Saturday is not given). Therefore:
E(X | no rain on Saturday) = (3 * P(rain on Saturday)) + (1 * (1 - P(rain on Saturday)))
E(X | no rain on Saturday) = 2P(rain on Saturday) + 1
To find the expected value of X over the weekend, we need to take the average of the expected values with and without rain on Saturday:
E(X) = E(X | rain on Saturday) * P(rain on Saturday) + E(X | no rain on Saturday) * P(no rain on Saturday)
E(X) = (3 * P(rain on Saturday)) + ((2P(rain on Saturday) + 1) * (1 - P(rain on Saturday)))
E(X) = 2P(rain on Saturday) + 1
E(X) = 2 * 2/3 +1 = 7/3
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(From workbook MATH 8A)
Alan’s online test has 10 true-false questions and 5 multiple-choice questions. Each multiple-choice question has 4 different answer choices. How many different choices for answering the 15 questions are possible?
a. 1,048,576
b. 300
c. 15
d. 100
Answer:
50
Step-by-step explanation:
4 x 10 = 40 and 2 x 5 = 10 so add them together
What is the radical expression that is equivalent 27 1/5?
Enter your answer as a radical. For example, if your answer is 14−−√3, enter your answer like this: cuberoot(14)
Answer:
possible answers are shown in picture.
Step-by-step explanation: