Answer:
8 suits
Step-by-step explanation:
Divide 30 m by 3 [tex]\frac{3}{4}[/tex] m , or 30 ÷ 3.75 , then
30 ÷ 3.75 = 8
Then 8 suits can be made from 30 m of cloth
Solve using the quadratic equation 3x^2+x-5=0
Answer:
comparing with ax²+bx+c=0
a=3, b=1 , c= -5
Solve using the formula now ,,
f(x) = 2x + 9
f^-1(x)= ??
Step-by-step explanation:
Given
f(x) = 2x + 9
f^-1 (x) = ?
Let
y = f(x)
y = 2x + 9
Interchanging the roles of x and y we get
x = 2y + 9
2y = x - 9
y = ( x - 9) / 2
Therefore
⏩f^-1(x) = (x-9)/2
Hope it will help :)
: Use the image to complete the equation below.
Vertically opposite angles are equal.
So,
(11y - 36)° = 63°
=> 11y - 36 = 63
Answer:
11y-36=63
Step-by-step explanation:
use the concept of vertically opposite angle
It rains 1 day in a week and dry for 6 days. What fraction of the week is dry
Answer:
6/7
Step-by-step explanation:
7 days make a week. 7 would go into the denominator and 6 would go in the numerator. 6 is the amount of days through the week that it is dry.
Answer:
6/7
Step-by-step explanation:
[tex]\frac{number \ of \ dry \ days}{total \ number \ of \ days \ in \ a \ week} =\frac{6}{7}[/tex]
Solve this
4 X (10 - 3+2)
Answer:
36
Step-by-step explanation:
10-3=7+2=9
4×9=36
36 is the answer
(x+2)(x+3)(x+4)(x+5)-48
Jonathon looked at the picture frame below and computed the following sum 8 3/4 +{-4}. What value did he find
Answers:
x
2y
y
2 x
Answer:
he found y value
Step-by-step explanation:
y value would be 8 3/4 + (-4) which is equivalent to 8 3/4 - 4 = 4 3/4
• A certain test consists of multiple-choice questions
and essay questions in the ratio of 5:2. If the test
contains 6 essay questions, what is the total number
of questions on the test?
Answer: 21
Step-by-step explanation:
My teacher just did it
A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, the agency believes that the mean selling time is now greater than 90 days. A statewide survey of 100 recently sold farms revealed a mean selling time of 94 days, with a standard deviation of 22 days.
At the 0.10 significance level, has there been an increase in selling time?
a. What is the decision rule? (Round your answer to 3 decimal places.)
b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
c. What is your decision regarding H0?
Answer:
Test statistic = 1.818
Reject H0
Step-by-step explanation:
H0 : μ = 90
H1 : μ > 90
xbar = 94 ; s = 22 ; n = 100
The test statistic : (xbar - μ) ÷ (s/√(n))
Test statistic = (94 - 90) ÷ (22/√100)
Test statistic = 4 ÷ 2.2
T = 1.818
The critical value :
At α = 0.10
Degree of freedom = n - 1 = 100 - 1 = 99
Tcritical(0.10, 99) = 1.290
Decison region :
Reject H0 if Test statistic > |Tcritical |
1.818 > 1.290
We reject H0
Based on a poll, among adults who regret getting tattoos, 16% say that they were too young when they got their tattoos. Assume that eight adults who regret getting tattoos are randomly selected, and find the indicated probability.
Answer:
The problem is incomplete, but it is solved using a binomial distribution with [tex]n = 8[/tex] and [tex]p = 0.16[/tex]
Step-by-step explanation:
For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young, or they do not say this. The answer of an adult is independent of other adults, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
16% say that they were too young when they got their tattoos.
This means that [tex]p = 0.16[/tex]
Eight adults who regret getting tattoos are randomly selected
This means that [tex]n = 8[/tex]
Find the indicated probability.
The binomial distribution is used, with [tex]p = 0.16, n = 8[/tex], that is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{8,x}.(0.16)^{x}.(0.84)^{8-x}[/tex]
Omgg please help right now
Answer:
64in^3
Step-by-step explanation:
6×3 = 18
18×2 = 36
4×7 = 28
36+28 = 64
Hope this helps! :)
Help ! ASAP please and thank you !!
that alot of work shhheeshhh
when solving 4x-3=5 the property used in the first step is the____ property of equality
Answer:
x = 2
Step-by-step explanation:
4x-3 + 3 = 5 + 3
4x = 8
4x ÷ 4 = 8 ÷ 4
x = 2
Hi there!
»»————- ★ ————-««
I believe your answer is:
"When solving 4x-3=5 the property used in the first step is the addition property of equality."
[tex]\boxed{x = 2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We would 'undo' operations to solve for x. We would have to remove the '-3' first. Since the opposite of subtraction is addition, we would use the addition property of equality.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Imagine a couple who is ready to start a family. They plan to have exactly four children. Assuming no multiple births (twins, triplets, etc.), use the information provided in Pascal's triangle to determine how many different ways they may have exactly three boys and one girl (regardless of birth order).
Answer:
4 different ways
Step-by-step explanation:
Total number of children = 4
Distribution of the 4 children :
Number of boys = 3 ; Number of girls = 1
Boy = B ; Girl = G
Possible combinations :
BBBG ; GBBB ; BBGB ; BGBB
From the pascal triangle number of e; number of outcomes = 2
Having exactly 3 boys and 1 girl
Hence, of any of the 4 four total children, 3 must be boys and 1 girl ;
Help please!!!!!!!???!!!!
Answer:
The equation is
y=0.5x+2
solve 5x^2-2=-12 by taking the square root
Answer:
x = ±i√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Algebra II
Imaginary root i
i = √-1Step-by-step explanation:
Step 1: Define
Identify
5x² - 2 = -12
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: 5x² = -10[Division Property of Equality] Divide 5 on both sides: x² = -2[Equality Property] Square root both sides: x = ±√-2Rewrite: x = ±√-1 · √2Simplify: x = ±i√2Mr. Layton needs to buy some oil for his central heating. He can put up to 2500 litres of oil in his oil tank. There are already 750 litres of oil in the tank. Mr. Layton is going to fill the tank with oil. The price of oil is 58.4 p per litre. Mr. Layton gets 6% off the price of the oil. How much does Mr. Layton pay for the oil he needs to buy
Answer:
Step-by-step explanation:
If the tank holds 2500 liters and there are already 750 liters in there, he only needs to buy 1750 liters.
If he is saving 6%, he is still spending 94%, so
.94(58.4) = 54.896 (what he'll be paying per liter after the 6% comes off, then
54.896(1750) = $96,068
Identifying Possible Triangles
From which set of dimensions could a triangle be constructed?
side length of 8
side length of 5
side length of 14
O side length of 7
side length of 8
side length of 15
side length of 2
side length of 6
side length of 7
side length of 6
side length of 3
side length of 10 can somebody answer this quickly pls
Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2, 1) (ellipse)
Answer:
The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].
Step-by-step explanation:
Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:
[tex]2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0[/tex]
[tex]2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0[/tex]
[tex]6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)[/tex]
[tex]y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right)[/tex] (1)
If we know that [tex](x,y) = (2, 1)[/tex], then the slope of the tangent line is:
[tex]y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)[/tex]
[tex]y' =-\frac{5}{18}[/tex]
By definition of tangent line, we determine the intercept of the line ([tex]b[/tex]):
[tex]y = m\cdot x + b[/tex]
[tex]b = y - m\cdot x[/tex] (2)
If we know that [tex](x,y) = (2,1)[/tex] and [tex]m = -\frac{5}{18}[/tex], then the intercept of the tangent line is:
[tex]b = 1 - \left(-\frac{5}{18} \right)\cdot (2)[/tex]
[tex]b = \frac{14}{9}[/tex]
The equation of the tangent line is [tex]y = -\frac{5}{18}\cdot x +\frac{14}{9}[/tex].
Help please and thanks !!
Answer:
4th option
Step-by-step explanation:
tanZ = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{XY}{ZY}[/tex]
Which graph represents the function?
Answer:
D
Step-by-step explanation:
I have attached the explanation above. hopefully this will help
y-2x-1=0 for -2 ≤ x ≤ 4 . can someone help me graph a straight line for this pls ?
Answer: See the graph below.
It is a straight line segment with endpoints (-2,-3) and (4,9).
===============================================================
Explanation:
We're told that x is between -2 and 4, including both endpoints.
Let's see what y is when we plug in x = -2
y-2x-1 = 0
y-2(-2)-1 = 0
y+4-1 = 0
y+3 = 0
y = -3
So x = -2 pairs up with y = -3. The point (x,y) = (-2,-3) is on the line. This is the left most endpoint.
Repeat for x = 4 to find what y must be
y-2x-1 = 0
y-2(4)-1 = 0
y-8-1 = 0
y-9 = 0
y = 9
Therefore the point (x,y) = (4,9) is also on the line. It's the right most endpoint
Once we have the two points, we can form the straight line. Simply connect the endpoints mentioned as shown below. We don't extend the line infinitely outwards in both directions because [tex]-2 \le x \le 4[/tex] meaning x cannot be smaller than -2, and x cannot be greater than 4 either.
Side note: The given equation is the same as y = 2x+1. It has slope 2 and y intercept 1.
Which statement best describes g(x) = 3x + 6 - 8 and the parent function f(x) = } ?
The domains of g(x) and f(x) are the same, but their ranges are not the same.
* The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Solve the simultaneous equations
2x+3y20
2x+5=10
Answer:
[tex]x=\frac{5}{2} \\y=5[/tex]
( 5/2, 2 )
Step-by-step explanation:
Solve by substitution method:
[tex]2x+5=10\\\2x+3y=20[/tex]
Solve [tex]2x+5=10[/tex] for [tex]x[/tex]:
[tex]2x+5=10[/tex]
[tex]2x=10-5[/tex]
[tex]2x=5[/tex]
[tex]x=5/2[/tex]
Substitute [tex]5/2[/tex] for [tex]x[/tex] in [tex]2x+3y=20[/tex]:
[tex]2x+3y=20[/tex]
[tex]2(\frac{5}{2} )+3y=20[/tex]
[tex]3y+5=20[/tex]
[tex]3y=20-5[/tex]
[tex]3y=15[/tex]
[tex]y=15/3[/tex]
[tex]y=5[/tex]
∴ [tex]x=\frac{5}{2}[/tex] and [tex]y=5[/tex]
hope this helps....
In a random sample of students at a university, stated that they were nonsmokers. Based on this sample, compute a confidence interval for the proportion of all students at the university who are nonsmokers. Then find the lower limit and upper limit of the confidence interval.
Answer:
(0.8165 ; 0.8819)
Lower boundary = 0.8165
Upper boundary = 0.8819
Step-by-step explanation:
Given :
Sample proportion. Phat = x/ n = 276/ 325 = 0.8492
Confidence interval :
Phat ± margin of error
Margin of Error = Zα/2* [√Phat(1 - Phat) / n]
Phat ± Zα/2* [√Phat(1 - Phat) / n]
The 90% Z critical value is = 1.645
0.8492 ± 1.645*[√0.8492(1 - 0.8492) / 325)
0.8492 ± 1.645*[√0.8492(0.1508) / 325]
0.8492 ± 1.645*√0.0003940288
0.8492 ± 0.0326535
Lower boundary = 0.8492 - 0.0326535 = 0.8165
Upper boundary = 0.8492 + 0.0326535 = 0.8819
Confidence interval = (0.8165 ; 0.8819)
Working to
(simplify y
Lisa, an experienced shipping clerk, can fill a certain order in 7 hours, Bill, a new clerk, needs 9 hours to do the
same job. Working together, how long will it take them to fill the order?
it might take 19 hours i might be wrong
Step-by-step explanation:
The population of retired citizens in Minneapolis is 86700. If the population increases at a rate of 8.9% each year. What will the population of retirees be in 7 years? Write an exponential growth model for the future population P(x) where r is in years: P(x) = What will the population be in 7 years? (Round to nearest person)
Answer:
157,476 people
Step-by-step explanation:
the formula :
P(x) = 86700. (1+ 0.089)^r
for r = 7
=> P(x) = 86700 × (1+ 0.089)^7
= 86700 × (1.089)^7
= 86700 × 1.8163
= 157,476 people
Need the answers from a - e
Answer:
10
Step-by-step explanation:
Sorry. I needed to answer this question to get access.
can anyone help me and explain
Answer:
cf
=41
5 f-46
Step-by-step explanation:
thiis is the answer
Answer:
To find the inverse, switch the y(F(C)) and the x(C) variables.
So this function:
[tex]y=\frac{9}{5}x+32 \\[/tex]
Will become this function:
[tex]x=\frac{9}{5}y+32 \\[/tex]
You will then solve for y:
[tex]x=\frac{9}{5}y+32 \\x-32=\frac{9}{5}y\\5(x-32)=5(\frac{9}{5}y)\\5x-160=9y\\y=\frac{5x-160}{9}\\y=\frac{5x}{9}-\frac{160}{9}[/tex]
Substitute in the variables of this problem:
[tex]C(F)=\frac{5C}{9}-\frac{160}{9}[/tex]
An experiment consists of tossing a coin and rolling a six-sided die simultaneously. Step 1 of 2 : What is the probability of getting a head on the coin and the number 2 on the die
Answer:
[tex]\frac{1}{12}[/tex] probability of getting a head on the coin and the number 2 on the die
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Independent events:
If two events, A and B are independent, the probability of both events happening is the multiplication of the probabilities of each event happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Probability of getting a head on the coin:
Head or tails, fair coin, so:
[tex]P(A) = \frac{1}{2}[/tex]
Probability of getting the number 2 on the die:
6 numbers, one of which is 2, so:
[tex]P(B) = \frac{1}{6}[/tex]
What is the probability of getting a head on the coin and the number 2 on the die?
[tex]P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] probability of getting a head on the coin and the number 2 on the die
