Finding the left-side area in the z-distribution is basically finding the following probability:
\(\begin{gathered} P\text{ \lparen z < }\alpha)\text{ = left area} \\ 1-P(\text{z < }\alpha)\text{ = right area} \end{gathered}\)Consider alpha the value of z given by the exercise.
According to excel, this probability is equal to 0.982.
Another approach could be:
The sum of the two numbers is 40. One number is 3 times the other number. Find the 2 numbers
Answer:
10 and 30
Step-by-step explanation:
The sum of 10 and 30 is 40.
30 is three times ten (10 x 3 = 30).
hope this helps!
The answer is 10 and 30
10 times 3 is 30, meaning 10 will be the number times 3 they wanted. 10 + 30 is 40, therefore the answer is 10 and 30
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Find w. Round to the nearest tenth.
A. 4.4
B. 1.2
C. 39.5
D. 5.0
Answer:
Answer is A I believe
Step-by-step explanation:
The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.
Here, sinX/x=sinW/w
sin51°/14=sin16°/w
0.7771/14=sin16°/w
0.7771/14=0.2756/w
0.0555=0.2756/w
w=0.2756/0.0555
w=4.965
w≈5
Therefore, option D is the correct answer.
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twice the sum of a number and 3 is equal to three times the diffrence of the number and 3 find the number.
When "twice the sum of a number and 3 equals three times the difference of the number and 3," the value of expression is 6.
What is expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign.
Here,
let x be the number,
2x+3=3x-3
x=6
The value of expression is 6 when "twice the sum of a number and 3 is equal to three times the difference of the number and 3."
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Let f(x) = 4x - 7 and g(x) = x +5. Find f(g(x)) and g(f(x)).
f(g(x)) = (Simplify your answer.)
g(f(x)) = (Simplify your answer.)
\(\huge \bf༆ ᴀɴsweʀ ༄\)
Here's the solution ~
The given expressions are :
\( \qquad \sf \: f(x) = 4x - 7\)
\( \qquad \sf \: g(x) = x +5\)
1. Now, let's solve for ~ f (g( x )) = ?
\(\qquad \sf \dashrightarrow \: f(x) = 4x - 7\)
\(\qquad \sf \dashrightarrow \: f(g(x) )= 4(x + 5)- 7\)
\(\qquad \sf \dashrightarrow \: f(g(x) )= 4x + 20- 7\)
\(\qquad \sf \dashrightarrow \: f(g(x) )= 4x + 13\)
2. solve for g(f( x )) = ?
\(\qquad \sf \dashrightarrow \: g(x) = x +5\)
\(\qquad \sf \dashrightarrow \: g(f(x)) = 4x - 7+5\)
\(\qquad \sf \dashrightarrow \: g(f(x)) = 4x - 2\)
Jamie Nolan purchased new cabinets for $12,640: laminate flooring for $4,560; countertops for
$12.354; and a new sink for $547. Lowe's credit plan requires a 15% down payment. What is the
amount of the down payment?
Answer:
total : 12371747
down payment : 10,515,984.95
Step-by-step explanation:
giving brainiest for correct answer !!
Answer: A and B plz mark me brainliest
Step-by-step explanation:
A $5000 investment pays 3% interest compounded monthly. To the nearest cent, what will be the value of the investment after 10 years?
Answer:
We can use the formula for compound interest to solve this problem. The formula is:
A = P * (1 + r/n)^(n*t)
where:
A = the amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:
A = 5000 * (1 + 0.03/12)^(12*10)
A = 5000 * (1.0025)^120
A ≈ $6,621.36
So the investment will be worth approximately $6,621.36 after 10 years.
A jar of peanut butter contains 50 tablespoons of peanut butter.
How many sandwiches can you make from the jar of peanut butter, assuming you have plenty of bread and jelly?
A. 25 sandwiches
B. 9 sandwiches
C. 10 sandwiches
D. 50 sandwiches
Answer:
the correct answer is A. 25 sandwiches.
Step-by-step explanation:
Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.
Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.
So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.
Therefore, the correct answer is A. 25 sandwiches.
Answer: 25
Step-by-step explanation:
We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.
2+2...=50
PLZ HELP ME I WILL MARK BRAINLIEST!!!
Answer:
i just kno that D is 0
Step-by-step explanation:
-7 +7=0
If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume? The volume is four times greater. The volume triples. The volume is nine times greater. The volume doubles.
Answer:
I gotchu
Step-by-step explanation:
The volume triples
Odysyware
Answer:
The volume triples
Step-by-step explanation:
i got 100% on quiz for odysseywa
A coin collector has a bag full of coins. You ask the collector how many coins doe he have in his bag, he replied that he did not know, but he said when he tried to put them in the bag two at a time he had one left over at the end, and when he tried to stick them in the bag three at a time he also had one left over at the end. In fact, he said he had one left over then he put them in four, five and six at a time as well. When he stuck them in the seven at a time they all went in the bag evenly. How many coins must the collector have in his bag? The number of coins that the collector has is:
Answer:
301
Step-by-step explanation:
The answer is 301 because if I do the prime number theorem, I get 300+1 which is 301.
Hope this helps plz hit the crown:D
Select the correct answer. The graph of the function is shown f(x)=sin(x). What is the domain of the function? PLATO USERS
Answer:
Domain: (−∞,∞),{x|x∈R}
Step-by-step explanation:
the domain will be Domain: (−∞,∞),{x|x∈R} because
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer: Option C: (−∞,∞)
Step-by-step explanation:
answer is for plato
Evaluate Cross multiply :)
(Irrational Numbers MC)
Approximate -10 + √30 to the nearest tenth. HELP PLS
-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5
Answer:
-4.5
Step-by-step explanation:
\(\sqrt{30}\) is approximately 5.47722557505. You can find this number with a calculator.
-10 + 5.47722557505 = -4.52277442495
To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value. Absolute value just means thinking of both numbers as positive numbers.
Helping in the name of Jesus.
You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of the
game, if you make the shot your team wins! Your basketball is is traveling on a path described by the
following function: b(x) = -x2 +1.36x + 2. The net is on a level described by the following function:
n(x) = 3 between (8 < x < 8.5). Will you make the shot and win the playoffs?
You may work alone or in a group of up to 3 students total.
BONUS: How high in the air will the basketball be at its highest point?
UNITS: x is in meters, y is in meters.
The quadratic function for the path of the basketball as it is thrown indicates;
The path of the basketball will not make the shot
The height reached is about 5.24 meters
What is a quadratic function?A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.
The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2
The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;
n(x) = The vertical height of the basketball
Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;
b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2
(-1/7)·x² + 1.36·x + 2 - 3 = 0
(-1/7)·x² + 1.36·x - 1 = 0
(1/7)·x² - 1.36·x + 1 = 0
Solving the above equation, we get;
x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717
Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.
Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)
Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76
The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters
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Evaluate x/y for x = 3/10 and = 4/5
A: 7/50
B: 7/15
C: 3/8
D: 12/50
Answer:The correct anserw is B.
Step-by-step explanation:
find the volume of the following figure
\( =( 8 \times 7 \times 8) + ((10 - 3) \times 5 \times 8)\)
\( =( 8 \times 7 \times 8) + (7 \times 5 \times 8)\)
\( = 448 + 280\)
\( = 728 {in}^{3} \)
A train travels 40 miles in 65
minutes. To the nearest tenth of a
mile, how far does the train trave
per minute?
Answer:
40/65 OR 8/13
Step-by-step explanation:
if f(x)=2x-5/3, what is f^-1(x)
Answer:
3x+5/2
Step-by-step explanation:
To find the inverse of f(x), first replace f(x) with y, solve for x, interchange x and y, and finally substitute f –1(x) for y.
Solve the following inequality algebraically.
x²-16x +60 ≥ 0
Answer:
\( \sf \large \: x≤6 \: or \: x≥10\)
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2−16x+60≥0
Let's find the critical points of the inequality.
x2−16x+60=0
(x−6)(x−10)=0(Factor left side of equation)
x−6=0 or x−10=0(Set factors equal to 0)
x=6 or x=10
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤6(Works in original inequality)
6≤x≤10(Doesn't work in original inequality)
x≥10(Works in original inequality)
What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
Can someone pls explain and do this solution:(
Given,
SP~QP
SR~QR
In ∆SRP and ∆QRP
SP~QP (given)
SR~QR (given)
PR=PR (common)
Therefore,
∆SRP~∆QRP by SSS congruence rule.
select all the Transformations that preserve angle measure and segment lengths
Transformations that preserve angle measure and segment lengths are:
• similarity
,• translation
,• rotation
,• reflection
,•
Solve the equation a = m - n for the variable n.
Answer:
n = m - a
Step-by-step explanation:
a = m - n
add n to both sides of the equation
a + n = m - n + n
a + n = m
subtract a from both sides of the equation
a - a + n = m - a
n = m - a
Answer:
n = a - m
Step-by-step explanation:
a = m - n
a - m = n
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
Use the net to find the surface area of the regular pyramid 6ft 7ft 15.6
Answer:
ịnkhioh
Step-by-step explanation:
n kjkmmjkn bkknklk
For the graph of the equation you wrote in Item 3, what does the y-intercept represent?
A. Hours left to complete
B. Total hours of service
C. Hours completed each day
D. Days it takes to complete 30 hours
Answer:
B
Step-by-step explanation:
Total hours of service not days
The y-intercept refers to the total hours of service
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is Susan who has to complete 30 hours of community service.
The equation representing the hours of service, Susan has left after [x] days is -
y = 30 - 2x
OR
y = - 2x + 30
Refer to the graph attached.
For the graph of the equation, the y-intercept refers to the total hours of service
Therefore, the y-intercept refers to the total hours of service.
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[Refer to the image for complete question]
Using matrix method solve the following simultaneous equations 1x + 4y = 9 2x-3y=7
Thus, using the matrix technique, the solutions to the simultaneous equations are x = -1 and y = 1.
what is matrix ?A rectangular array of numbers or even other mathematical objects that can perform actions like addition and multiplication is known as a matrix. Matrices are widely used to describe systems of equations, transformations, and data in mathematics, physics, engineering, computer science, and many other disciplines. The individual matrix components are frequently identified by their row and column positions, and matrices have a predetermined number of rows and columns. There are numerous actions that can be carried out on matrices, including addition, subtraction, and multiplication by other matrices.
given
We can write the equations in matrix form as follows to answer the simultaneous equations 1x + 4y = 9 and 2x - 3y = 7 using the matrix method:
Then, on the left side of the equation, we can locate the inverse of the coefficient matrix:
| 1 4 |^-1 = 1/(-11) | -3 -4 |
|-2 -1 |
When we multiply both sides of the equation by the coefficient matrix's inverse, we obtain:
| x | | 1 4 |^-1 | 9 |
| x | | -3/11 -4/11 | | 9 |
| y | = | -2/11 -1/11 | x | 7 |
If we simplify, we get:
x = (-3/11)*9 + (-4/11)*7 = -1
y = (-2/11)
*9 + (-1/11)
*7 = 1
Thus, using the matrix technique, the solutions to the simultaneous equations are x = -1 and y = 1.
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A recipe requires 1 cup of flour for every batch of cookies. How many full batches of cookies can be
made with 52 cups of flour?