Answer:g=0 is not the solution
Step-byd-step explanation:
-1 1/2 is a negative number and 0 is not negative
Answer:
g=0
Step-by-step explanation:
happy to help ya :)
There are four blood types, and not all are equally likely to be in blood banks. Records in a local blood bank show that, historically, 49% of donations are type O blood, 27% are type A blood, 20% are type B blood, and 4% are type AB blood. The blood bank takes a random sample of 40 donations from the past month, and finds that 25 were type O, 10 were type A, 4 were type B, and 1 was type AB. The blood bank will run a chi-square test for goodness of fit to determine if the sample shows evidence that the distribution of blood types this month differs from the historical distribution. Are the conditions for such a test met
Answer:
No, because all the expected frequencies must be higher than 5.
Step-by-step explanation:
The chi-square test might be performed in those situations in which we need to know if a series of observations adjust or not to a theoretical function, such as the normal, Poisson, or binomial.
The chi-square test does not require the number of files to coincide with the number of columns in the table. It does not establish any restriction about the number of modalities per variable. However, the expected frequencies or counts should not be less than five.
In the exposed example, this unique rule is not accomplished, so the chi-square test can not be performed.
Select ALL the measurments that are about 1 yard long
Students desk
Height of classroom
width of classroom door
height of building
length of movie ticket
Answer:
The door
Step-by-step explanation:
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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If I make $16.15 per hour. How much will I earn in a 5hr shift?
Given that a = 5 , b = − 2 and c = − 2 work out 2 b − 3 a c
Answer:
26Step-by-step explanation:
\(a = 5 ,\\b = - 2 \\ c = - 2 \\ 2b - 3ac=?\\2(-2) -3(5)(-2)\\-4 +30\\= 26\)
Answer:
-34
Step-by-step explanation:
2x-2-3(4)(-2)
which is -34
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
Which function has a maximum with the same maximum value as
f(x) = – |x + 3| – 2? f(x) = (x + 3)2 – 2 f(x) = –(x – 6)2 – 3
Answer:
The answer is c on edge or f(x) = 1 sqt x + 6 -2
Step-by-step explanation:
From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
What is a function?A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.
Given that:
f(x) = -|x + 3| - 2Suppose that x = c is a critical point of (x) then,
If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;
then x = c is a local maximum.If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;
then x = c is a local minimum.If f'(x) is the same sign on both sides of x = c;
then x = c and is neither a local maximum nor a local minimum.From the given equation, the critical points: x = -3
The intervals is: Increasing at -∞ < x < -3 and decreasing at -3<x<∞If we put the point x = -3 into - |x+3|-2
Then, y = -2 and it is Maximum at (-3, -2) Only f(x) = (x+3)^2 - 2 has a minimum at (-3,-2)We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
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What is the greatest common factor of 3 and 12
Answer:
The biggest common factor number is the GCF number. So the greatest common factor 3 and 12 is 3.
Step-by-step explanation:
The greatest common factor of 3 and 12 is 3.
What is greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor.
To find the GCF of 3 and 12:
In the given set of numbers 3 and 12.
Since 3 is the largest of these common factors,
the GCF of 3 and 12 would be 3.
Therefore, the greatest common factor of 3 and 12 is 3.
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(x +3; x 23
1
Function: g = {6:1
x?:X51
find g(-3)
a) o
b) 9
c) 6
d) -9
Answer:
9 is the answer of your questions
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
Answer:
Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.
Step-by-step explanation:
The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this question:
12 resistors, which means that \(N = 12\)
3 defective, which means that \(k = 3\)
4 are selected, which means that \(n = 4\)
To find an specific probability, that is, of x defectives:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}\)
If x=3 and y=7, evaluate the following expression: 100 − 3 ( 3 − 4x )
Answer:
\(100 - 3(3 - 4x) \\ = 100 - 3(3 - 4 \times 3) \\ = 100 -27 \\ = 73\)
Answer:
873
Step-by-step explanation:
100 - 3 ( 3- 4x ) 97 ( 3 - 4×3 )97 (3 - 12 ) 97 × 9 873Irsa’s cat catches 9 mice every 3 days. Laiba’s cat catches 21 mice every 7 days. Do the two cats catch mice at the same rate?
Laiba’s cat catches mice at the rate of 3per day which is the same rate as Irsa’s cat.
What is rate ?Rate is defined as the measurement of a quantity against another to show the difference that exists between the two.
The number of mice caught of Irsa’s cat in 3 days = 9
Therefore in a day = X mice
Make X mice the subject of formula;
X mice = 9/3 = 3
Therefore, Irsa’s cat catches mice at the rate of 3 move per day.
The number of mice caught of Laiba’s cat in 7 days = 21
Therefore in a day = Y mice
Make y mice the subject of formula;
y mice = 21/7 = 3
Therefore, Laiba’s cat catches mice at the rate of 3per day which is the same rate as Irsa’s cat.
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In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
Find a vector function that represents the curve of intersection of the paraboloid z=5x^2+2y^2 and the cylinder y=4x^2. Use the variable t for the parameter.
The vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)
How to determine the vector function that represents the curve of intersectionTo find a vector function that represents the curve of intersection between the paraboloid and the cylinder, we need to express the coordinates (x, y, z) in terms of a parameter t.
Let's start by expressing the cylinder equation in terms of x and y:
y = \(4x^2\):
We can rewrite this as:
y - 4x^2 = 0
Now, we'll substitute this expression for y in the equation of the paraboloid:
z =\(5x^2 + 2y^2\)
Replacing y with \(4x^2\):
\(z = 5x^2 + 2(4x^2)^2\\z = 5x^2 + 32x^4\)
Now we have the equations for x and z in terms of t:
x = t
z = 5t^2 + 32t^4
To obtain the y-coordinate, we substitute the x value into the equation of the cylinder:
y = \(4x^2\):
y =\(4t^2\)
Therefore, the vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)
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For the triangles shown, which detail would have to be given to prove them congruent by the Angle Angle Side congruence criteria?
Answer:
The measure of the angle labeled d
Step-by-step explanation:
I took the quick check for "angle angle side postulate"
Which expression is equivalent to "9 more than the quotient of x and 5
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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Find slope:
(3,7) & (6,-1)
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
The perimeter of the figure below, in inches.
Answer:
just use a calculator and add all the numbers-
Step-by-step explanation:
add
The formula A=23.1 е⁰⁰¹⁵²⁺ models the pollution of US state, a, in millions ,t years after 2000.
A. What was the population of the state in 2000 ?
b. When will the population of the state reach 28.3 million?
a. In 2000 , the population of the state was million.
The population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.
What is an exponential function?The definition of an exponential function is given by the equation
y = aeᵇˣ, where bx is an exponent.
The given equation is \(A = 23.1e^{0.0152t}\).
To find the population of the state in 2000, substitute t = 0 in the given equation:
\(A =23.1e^{0.0152(0)}\\\\A = 23.1\)
Now, Substitute A = 28.3 into the given equation and solve for t:
\(28.3=23.1e^{0.0152t}\\\\e^{0.0152t}=1.2251\\\\0.0152t=\ln(1.2251)\\\\0.0152t=0.2030\\\\t=13.4\)
Hence, the population of the state in 2000 was 23.1 million and the population will be 28.3 million after 13.4 years.
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Walter has a life insurance policy with a $1.2 million benefit. If this money
was put into an account with a 4% interest rate, how much income can his
beneficiaries expect in case Walter dies?
A. $48,000
O B. $20,000
O C. $60,000
O D. $50,000
SUBMIT
Answer:
48,000
Step-by-step explanation:
Use the graph of the function to answer the following question.
Which of the following statements about the function is TRUE?
A.The function has a maximum value of 0.
B.As x approaches ∞, the function approaches ∞.
C.The function is always decreasing.
D.The function is positive on the interval (- 1, 1).
The function is positive on the interval (-1, 1)," is the only answer that is accurate. Due to the fact that the function accepts positive values for x between -1 and 0, accepts 0 at x = 0, and then accepts positive values.
A function on an interval is what exactly?When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.
When we examine the function's graph, we can observe that:
Because the function accepts negative values for x > 1 and positive values for x -1, it does not have a maximum value of 0.
The function does not approach as x approaches. Instead, as x rises, the function alternates between positive and negative values.
There are times when the function increases. Rather, it is rising on the interval (1, ) and falling on the intervals (-, 1). At x = -1, it has a local minimum, while at x = 1, it has a local maximum.
Due to the fact that it accepts negative values for x between -1 and 0, the function is not positive on the range (-1, 1).
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Evaluate the expression. Show work.
2w + 2l when w= 4 and l=6
Answer:20
Step-by-step explanation:
2(4)+2(6)
8+12=20
Answer: 20
Step-by-step explanation:
Plug in 4 for w and 6 for I.
2(4) + 2(6) = 8 + 12 = 20
Need ASAP pls help due soon
fun fact very very sad fact mcdonalds doesn't have fresh food and you know why there ice cream machine is down is because they don't clean it Step-by-step explanation: tick tock told me
A culture starts with 8900 bacteria. After 1 hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
a) The function that models the number of bacteria is n(t) = 8900\(e^{(0.126t)\).
b) Rounding to the nearest hundred, we get the answer of 12100 bacteria after 2 hours.
c) It would take approximately 5.5 hours for the number of bacteria to double.
To model the growth of the bacteria population, we can use an exponential growth function of the form n(t) = n₀\(e^{(rt)\), where n₀ is the initial population, r is the growth rate, and t is the time in hours.
(a) To find the growth rate, we can use the formula r = ln(N/N₀)/t, where N is the final population, N₀ is the initial population, and t is the time interval. Plugging in the given values, we get:
r = ln(10000/8900)/1 = 0.126
(b) To find the number of bacteria after 2 hours, we can simply plug in t=2 into the exponential function:
n(2) = 8900\(e^{(0.126*2)\) = 12099.92
Rounding to the nearest hundred, we get the answer of 12100 bacteria after 2 hours.
(c) To find the time it takes for the number of bacteria to double, we can use the fact that the population doubles when n(t) = 2n₀. Substituting these values and solving for t, we get:
2n₀ = n₀\(e^{(rt)\)
2 = \(e^{(rt)\)
ln(2) = rt
t = ln(2)/r = 5.5 hours (rounded to one decimal place)
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What is the slope of -x+ 5y = 10?
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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Previously: Multiplying
Polynomials
(x - 1)(x² + 3x - 4) = x³ + 2x² − 7x + 4
Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.
A quadratic equation is what?A quadratic polynomial in a single variable is represented by the equation \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.
A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.
the quadratic equation is
\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)
On multiplying,
⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)
⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)
⇒ \(x^{3} + 2x^{2} - 7x + 4\)
∴ We can say that LHS = RHS.
From given equation, the roots of the equation will be -
\((x - 1)(x^{2} + 3x - 4)\)
⇒ x - 1 = 0
⇒ x = 1
\(x^{2} + 3x - 4 = 0\)
⇒ \(x^{2} - 4x + x - 4\)
⇒ \(x(x - 4) + 1(x - 4)\)
⇒ (x + 1) (x - 4)
⇒ x = -1, x = 4
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Which statement is true about the graphed function
Which number is less than it’s square?
9/10
12/11
15/16
13/13
The number which is lesser than its square is 12/11
What is a square number ?When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5.
The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.
The numbers are
9/10 , 12/11 , 15/16 and 13/13
The squares are
81/100, 144,121, 225/256, 1
here
81/100 < 9/10 abd
225/256 < 15/16
144/121 > 12/11
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write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6