Answer:
B. -2
Step-by-step explanation:
Simply plug 3 into the equation and follow the order of operations.
2(3 - 4) + (3(3)) - (3^2)
2(-1) + (9) - (9)
= -2
What is the probability of selecting a jack then a 4 from a deck of cards
with replacement?
Answer:
[tex]\frac{4}{663}[/tex]
Step-by-step explanation:
A standard deck without jokers is 52 cards. Selecting a Jack would have a [tex]\frac{1}{13}[/tex] chance.
Then to select a 4 without replacing the Jack you took, you would have a [tex]\frac{4}{51}[/tex] chance.
[tex]\frac{1}{13}*\frac{4}{51}=\frac{4}{663}[/tex]
Answer:
1/169.
Step-by-step explanation:
Prob( a jack) = 4/52 = 1/13
Prob( a 4) = 4/52 = 1/13
Required probability = 1/13 * 1/13
= 1/169.
Mrs. P made a large batch of clay. She gave out all of the clay in equal parts to 6 teachers. Each of those teachers gave out all of the clay they received. They each gave equal parts to 6 teachers. How many students received part of Mrs. P batch of clay?
PLEASE NEED HELP AND STEPS
Answer:
36 student gets the equal amount of Clay by Mrs p
Solve for n.
–10n = –6 − 7n
n =
So the right answer is 2.
look at the attached picture
Hope it will help you
Good luck on your assignment
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
The question is incomplete:
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
Answer:
-The Webster family needs to buy 7 packages.
-The cost of the plates is $41.93.
Step-by-step explanation:
To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:
100/15= 6.66
According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.
Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:
$5.99*7= $41.93
The cost of the plates is $41.93.
Prime factors of 24x2
Answer:
Step-by-step explanation:
24 is a composite number.
Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3
The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6
Please help me with this question it is in the picture
Answer:
complementary angles
Step-by-step explanation:
The sum of the angles is 67+23 = 90
When angles sum together to 90, the are called complementary
Answer:
Option A
Step-by-step explanation:
The measures of the two angles have a sum of 90°.
[tex]67+23=90[/tex]
Therefore, they are complementary angles, since complementary angles have a total measure of 90°.
Option A is the best answer.
Brainilest Appreciated.
Solve the quadratic equation: x^2+4x+17=8-2x
Answer:
-3
Step-by-step explanation:
Can someone help me with this? (Will give brainliest)
Answer:
In order, 10, 14, (7, 14), (10, 20)
Step-by-step explanation:
The slot for C - Number of Beads is 10
This is because the patern is that it is increasing by 3.
The slot for B - Length of Neclace (cm) is 14
This is because the patern is that it is X2 from the Number of Beads.
The slot for B - Ordered Pairs is (7, 14)
This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.
The slot for C - Ordered Pairs is (10, 20)
(See the explanation above)
m∠A=5x° . m∠B=(3x−4)° m∠C=90° What is the value of x?
Answer:
6
Step-by-step explanation:
Answer:
11.75
Step-by-step explanation:
the angles of a triangle should add to 180
5x + 3x - 4 +90 = 180
now solve for x
8x = 94
94/8 = 11.75
A laboratory tested n = 110 chicken eggs and found that the mean amount of cholesterol was LaTeX: \bar{x}x ¯ = 92 milligrams with σ = 8 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.
Answer:
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error E as such
[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]\sigma = 8, n = 110[/tex]. So
[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
if you have 3,500 after 10 years on an investment that pays 3.5% compounded daily, what was the principle amount you started with ?
Answer: $2,466.45
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3.5/100= 0.035)
n= number of compounding periods in each year (365)
Replacing with the values given
3,500= P (1+ 0.035/365)^365(10)
Solving for P
3,500= P (1.00009589)^3650
3,500/ (1.00009589)^3650 =P
P = $2,466.45
(Mark 1) Frequency x+2
(Mark2) Frequency x+1
(Mark3) Frequency x+5
(Mark4) Frequency 2x-5
(Mark5) Frequency x-1
If the average
the to 3 sf
mark is
73 /25Find
a) The variance
b) The Standard deviation
c( Coefficient of Variation
100 points to be given to the correct answer
:
-by-step explanation:
Please help!
You flip a coin twice.
What is the probability of getting tails and then getting heads?
Write your answer as a percentage.
___%
Answer: 25%
Step-by-step explanation:
You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.
A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax?
Answer:
Step-by-step explanation:
Let x represent the cost of the video game before tax.
A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is
15 + x
The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be
7/100 × 42.8 = $2.996
The amount paid for the items before tax would be
42.8 - 2.996 = 39.804
Therefore, the equation that can be used to find x, the cost of the video game before tax is
15 + x = 39.804
Answer:
B
Step-by-step explanation:
What is the approximate circumference of the circle? Use 22/7 for pi. Round to the nearest hundredth.
A) 1.33 meters
B)4.09 meters
C) 5.31 meters
D) 8.17 meters
Answer:
B) 4.09
Step-by-step explanation:
C= 2πr
the nth term of a sequence is 8(n+3)
what are the first four terms?
Answer:
32, 40, 48, 56
Step-by-step explanation:
[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]
You are given f(x)=-5x2+10x-5
A) Express the function in factored form AND determine the vertex
B) Identify the zeros, the axis of symmetry, and the direction of opening
C) State the domain and range
Answer:
B
Step-by-step explanation:
A) The function in factored form is -5(x - 1)² and the vertex is (1, 0).
B) The zeroes are x = 1, the axis of Symmetry is x = 1 and the direction of the opening is downward.
C) The domain of the function is all real numbers and the range is
(-∞, 0].
We have,
A)
Factoring out the common factor (-5):
f(x) = -5(x² - 2x + 1)
The equation x² - 2x + 1 can be factored as (x - 1)(x - 1) or simply (x - 1)²:
f(x) = -5(x - 1)²
The equation of a quadratic function:
f(x) = a(x - h)² + k
In this case,
a = -5, h = 1, and k = 0 (since there is no constant term).
So, the vertex of the function is (h, k) = (1, 0).
B)
To find the zeros of the function, we set f(x) = 0 and solve for x:
-5(x - 1)² = 0
(x - 1)² = 0
Taking the square root of both sides:
x - 1 = 0
x = 1
The axis of symmetry is a vertical line that passes through the vertex of the parabola.
In this case, the axis of symmetry is x = 1.
The direction of the Opening:
Since the coefficient of the x² term is negative (-5), the parabola opens downward.
C)
The domain of the function f(x) is all real numbers since there are no restrictions or limitations on the possible input values of x.
The parabola opens downward and the vertex is at (1, 0), the range of the function is all real numbers less than or equal to 0.
The range can be expressed as (-∞, 0].
Thus,
A) The function in factored form: -5(x - 1)², Vertex: (1, 0).
B) Zeros: x = 1, Axis of Symmetry: x = 1, Direction of Opening: Downward.
C) Domain: All real numbers, Range: (-∞, 0].
Learn more about functions here:
https://brainly.com/question/28533782
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Evelynn has a home that was recently appraised for $127,000, and the balance on the existing mortgage is $88,350. If a bank is willing to loan up to 75% of the appraised value, calculate the potential amount of credit available on a home equity loan.
Answer:
$6,900
Step-by-step explanation:
To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:
$127,000*75%= $95,250
Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:
$95,250-$88,350= $6,900
According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.
whats the theoretical probability of popping a polka dot balloon? express your answer as a fraction, decimal and percent
solid 15
polka dot 5
striped 17
PLZZ HELP ME DUE TOMORROW
Answer:
5 / 37
Step-by-step explanation:
Solution:-
- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.
- There are three types of balloons clustered together. The distribution of each balloon is given as such:
Type Number
Solid 15
Striped 17
Polka Dot 5
- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.
- Define event ( A ) : The number of Polka dots balloon popped
- Then, the probability of event ( A ) would be defined as:
p ( A ) = [ Number of polka dots balloons available ] / [ Total balloons ]
- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:
p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]
p ( A ) = [ 5 ] / [ 37 ]
- The probabbility that an arrow pops a polka dot balloon is 5 / 37.
Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.
A prism is filled with 60 cubes with 1/2 unite side length
What is the volume of the prism in cubic unites?
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? 2 tables. A 2-column table with 5 rows titled Linear Function A. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 3, 7, 11, 15, 19. A 2-column table titled Linear Function B. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 4, 8, 12, 16, 20. The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:
The correct answer is: B. The initial values of the two functions are different, and the rates of change of the two functions are the same
Step-by-step explanation: Trust me
Answer: : B. The initial values of the two functions are different, and the rates of change of the two functions are the same
Step-by-step explanation: on edgenuidy
Explain how would you find 4% sales tax on a pair of sneakers that cost 54.99. You don't have to calculate it. Just explain how you would find it.
Answer:
2.2
Step-by-step explanation:
4% of 54.99 = 0.04*54.99
What is the value of n - 7 when n = 14
Answer:
7
Step-by-step explanation:
n - 7
Let n = 14
14-7
7
Answer:
7
Step-by-step explanation:
n-7 n=14
14-7 (substitution)
7
Please answer question on attached sheet! x
Answer:
=7
Step-by-step explanation:
use Pythagorean.
7,24 ,25
Answer:
x=7
Step-by-step explanation:
we use physagorian law
b²+x²=a²
x²=a²-b²
25²-24²=x²
x²=49
x=7
Can you please help please please help me with this question i will give you a Brainiest
Answer:
They are all even
Step-by-step explanation:
Artur, Olga i Wiktor uczestniczyli w wyścigu. Wystartowali z tego samego miejsca, w tym samym momencie i biegną ze stałymi prędkościami. Gdy Artur ukończył bieg, Olga miała 15 m do mety, a Wiktor miał 35 m. Gdy Olga ukończyła bieg, Wiktorowi pozostały 22 m do mety. Na jakim dystansie został rozegrany wyścig?
Answer:
165m
Question:
Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?
Explanation:
Let distance be x meters
Fist statement:
Artur distance = x
Olga =x-15
Wiktor = x-35
Since they are going at constant speed, time is constant for all 3.
Their speed = distance/time
x/t, (x-15)/t, (x-35)/t respectively
Second statement:
Olga distance = x
Wiktor distance = x-22
Their Time is constant:
If it takes (x-15) in t secs,
for x meters will take = xt/(x-15)
Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively
Their speed:
Speed = distance/time
Olga = (x-15)/t,
Wiktor = (x-22)(x-15)/(xt)
Since speed is constant
Speed for Wiktor in both cases:
(x-35)/t =(x-22)(x-15)/(xt)
x(x-35) =(x-22)(x-15)
x² -35x = x² - 15x -22x +330
-35x = -37x +330
2x = 330
x = 165m
Race held at 165m distance.
plzzzzz helppppppp ASAP!!!!! will mark brainliest +25pts
[tex]\frac{-3x^5 +11x^4 +33x^3 -26x^2 -36x-6}{x^3 +6x^2 -3x-5}[/tex]
Divide using long division.
show work
Answer:
[tex]-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}[/tex]
Step-by-step explanation:
See attachment.
Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When Javier was 15, the account had a total of $1012.50 interest paid on it. How much did Javier's parents set aside when he was born
Answer:
Javier's parents set aside $1500 when he was born
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this question, we have that:
[tex]E = 1012.50, t = 15, I = 0.045[/tex]
We have to find P. So
[tex]E = P*I*t[/tex]
[tex]1012.50 = P*15*0.045[/tex]
[tex]P = \frac{1012.50}{15*0.045}[/tex]
[tex]P = 1500[/tex]
Javier's parents set aside $1500 when he was born
helpieeee plsss
A cone has a volume of 96 'pi' cubic feet. if the radius is 6 feet, what is the height of the cone?
A.8
B.32
Answer:
height of the cone = 8 ft
Step-by-step explanation:
A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .
The volume of a cone can be represented as follows
volume of a cone = 1/3πr²h
where
r = radius
h = height
volume of a cone = 1/3πr²h
volume = 96π ft³
r = 6 ft
h = ?
96π = 1/3 × π × 6² × h
96π = 1/3 × π × 36 × h
96π = 12πh
divide both sides by 12π
h = 96π/12π
h = 8 ft
height of the cone = 8 ft
please help will give brainliest to first correct answer
Answer:
A
Step-by-step explanation: