The length of the top of a table is 4 m greater than the width. The area is 60m^2. Find the dimensions of the table
Answer:
Width = 6 m
Length = 10 m
Step-by-step explanation:
Let the width of the table be x meters.
Therefore, length of the table = (x + 4) meters.
[tex]length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m[/tex]
please help me!!! I am just a meme poster... :c
which is the same as 10^-3
A. 0.0001
B.0.001
C.3
D.1000
Answer:
B. 0.001Step-by-step explanation:
Your answer is B. 0.001.Thank you ☺️☺️
its answer is option B
0.001
12)
0
1
1
В
у
3.5 4.5 5.5 6.5 7.5
equation:
Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter "". a. What is ? b. What is ? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. - Select your answer - , because - Select your answer - . d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - Select your answer -
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(A and B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Solution:
The probability of the two events A and B are:
P(A) = 0.30 and P(B) =0.40
(a)
Compute the value of P (A ∩ B) as follows:
[tex]P(A\cap B)=0[/tex]
This is because mutually exclusive events are those events that cannot occur together.
(b)
Compute the value of P (A | B) as follows:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0[/tex]
Thus, the value of P (A | B) is 0.
(c)
No, P (A | B) is not equal to the P (A).
(d)
As mentioned in part (a), mutually exclusive events are those events which cannot occur together.
That is, [tex]P(A\cap B)=0[/tex].
Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.
That is, [tex]P(A\cap B)=P(A)\times P(B)[/tex].
The concepts of mutually exclusive events and independent events are not the same.
(e)
As the it is provided that A and B are mutually exclusive events, we know that [tex]P(A\cap B)=0[/tex].
Now compute the value of [tex]P(A)\times P(B)[/tex] as follows:
[tex]P(A)\times P(B)=0.30\times 0.40=0.12\neq 0[/tex]
Thus, the events A and B are not independent.
Thus, if two events are mutually exclusive events they cannot be independent.
a pair of socks cost $18.50 the markup is 5% the taxes
Answer:
I'm pretty sure the answer is 19.425
You have to round up or down because it is money.
The answer is $19.43
Step-by-step explanation:
I really hope this is correct.
Answer:
$19.43
Step-by-step explanation:
At first you get 19.425
But money only has 2 decimal places and the 5 tells to to round the 2 up to 3
what value is equivalent 8 x 9-2 x 5? HELP!!!!!!!!!!!
Answer:
62
Step-by-step explanation:
i hope it help
Answer:
350
Step-by-step explanation:
8*9-2*5=
72-2*5=
70*5=
350
I need help with number 12 please. Thank you.
Step-by-step explanation:
The sides of a triangle have measures of 2x, 8, 12. If the measure of the longest side is 2x. What value of x makes the triangle a right triangle?
please answer !!!!...
Answer:
8+12= 2x
multiply all of them by power of 2
Step-by-step explanation:
so,
64+144 = 4x
208=4x
x = 52 what is the root of 52 the answer is
x = 7.188 or 3/16
200m - 100m + 48,250 = 50,250 – 150m
200m - 100m + 48,250 = 50,250 - 150m
(Add or subtract common variables)
100m + 48,250 = 50,250 - 150m
(Add 150m to both sides)
250m + 48,250 = 50,250
(Subtract 48,250 to both sides)
250m = 2000
(Divide 250 to both sides to isolate m)
m = 8
Find the slope of the line.
Answer:
Slope = 4/3
Step-by-step explanation:
Slope= (y2-y1)/(x2-x1)
Let's say (0,1) is x2 and y2. That means (-3,-3) is x1 and y1.
(1 - -3) / (0 - -3)
(1 + 3) / (0 + 3)
4 / 3
A scanner scanned 56 photos in 7 minutes. If it scans photos at a constant rate, it can scan
photos in 27 minutes.
Answer:
56 photos-7 minutes
X photos-27 minutes
X=1 512 :7= A scanner will scan 216 photos
Step-by-step explanation:
A data analytics firm hired by a Republican candidate running for political office wants to test whether its practices were successful in increasing voter turnout among registered Republicans. The firm collected data in a random selection of cities before the candidate ran for office and then after the election. Find the test statistic and the number of degrees of freedom for an appropriate hypothesis test using the data set below. Let the difference d for each city be computed as d=after−before. Assume that the populations are normally distributed. Round the test statistic to three decimal places.
Answer:
The practices were successful in increasing voter turnout among registered Republicans.
Step-by-step explanation:
The missing data is attached below.
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.
The hypothesis for the test can be defined as follows:
H₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. d ≤ 0.
Hₐ: The practices were successful in increasing voter turnout among registered Republicans, i.e. d > 0.
Use Excel to perform the paired t-test.
Go to Data → Data Analysis → t-Test: Paired Two Sample for Means
A dialog box will open.
Select the variables.
Set the Hypothesized mean difference as 0.
Press OK.
The output is attached below.
The test statistic value is, t = 5.409.
The degrees of freedom is, df = 9.
The p-value for he one-tailed test is, p-value = 0.00021.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.
Mr. Witherspoon's fifth grade class was on the
playground. Billy was told to stand still.
Mr. Witherspoon had Rosey stand 10 feet from
Billy. The rest of the class was also told to stand
10 feet from Billy. What shape did the positions of
the class form in relation to Billy?
The location of the circumference of a circle is the set of points that are equidistant from a given point
The shape formed by the rest of the class in relation to Billy is the shape of a circleReason:
Given information;
The distance of Rosey from Billy = 10 feet
The distance of the rest of the class from Bill = 10 feet
Required:
The shape the positions of the class formed in relation to Billy
Solution;
The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class
Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid
If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points
Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle
Learn more here:
https://brainly.com/question/14143525
What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?
a)at 6 o’clock
b) at 4 o’clock
c) at 3o’clock
Answer:
a) 180 degrees
b) 120 degrees
c) 90 degrees
HELPPPPPP There are B giris and 5 boys on the math team Which ratio corroctly describos the rolotionship botvwoen boys ond gus on the math tearm? OThere are 5 boys for every 5 giris OThere are 5 boys for every 13 girfs O For every 5 boys there are B girls O For every B boys there are 5 giris
Answer:
for every 5 boys there are b girls
Step-by-step explanation:
that's how u read ratios, for every x there are y amount of something else. portions is how we'll describe it!!
Answer: C
Step-by-step explanation:
For every five (5) boys, there are eight (8) girls.
ℎ :)
What are the solutions to this quadratic equation?
x2+13=8x+37
Answer:
x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 13 = 8 x + 37
Subtract 8 x + 37 from both sides:
x^2 - 8 x - 24 = 0
Add 24 to both sides:
x^2 - 8 x = 24
Add 16 to both sides:
x^2 - 8 x + 16 = 40
Write the left hand side as a square:
(x - 4)^2 = 40
Take the square root of both sides:
x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
what is the sum of 3/4 and 4/5
Answer:
31/20
Step-by-step explanation:
just cross multiply and add
(3x5 + 4x4) / 4x5
Answer: 31/20 or 1.55
Which inequality represents all the solutions of 8(6x - 7) < 5(9x - 4)?
A. x> 12
B. x< 12
C. x> 20
D. x < 20
Answer:
A. x>12
Step-by-step explanation:
8(6x - 7) < 5(9x - 4)
Distribute:
48x-56<45x-20
Move like-terms together:
48x-45x<-20+56
Subtract/add:
3x<36
Divide both sides by 3
x<12
Answer:
B. x< 12
Step-by-step explanation:
You are building a cube shaped box for your turtle to live in. You want to build your box with side lengths of 24 inches. However, when you finish the box, you find out that it has a volume of 27,000 cubic inches. How many more cubic inches is your box than you had planned? How much bigger are your side lengths than you had originally planned?
Answer: The box is 13,176 cubic inches larger than originally planned.
The side lengths turned out to be 6 inches longer than the 24 inches originally planned.
Step-by-step explanation:
To find the intended volume, "cube" 24 (24×24×24)
[tex]24^{3}= 13824[/tex]
To find the difference, subtract 13,824 from 27,000
27000 - 13824 = 13176
To find the actual side lengths of the box that was built take the cube root of 27000.
[tex]\sqrt[3]{27000}=30[/tex]
To find out how much longer, subtract 24 from 30.
30 - 24 = 6
Darius and Matthew have 3 fruit bars.They are both hungry after playing football and decide to split the fruit bar evenly.How much fruit bar will each boy get ?
Answer:
1 1/2 or 1.5
Step-by-step explanation:
If they split 1/2 of the bar with each other
3 bars x 1/2 split bar = 1.5 or 1 1/2 of the shared amount
3 *1/2=1.5 or 1 1/2
In which step was the subtraction property of equality applied?
A. Step 2
B. step 3
C.step 4
D. The subtraction property.of equality wasnot applied to solve this equatlon.
Answer
B.
Step 1: Calculate the price of 3 biscuits.
Step 2: Calculate the price of 3 sausages.
Step 3: Add the total amounts from Steps 1 and 2 to the amount of the tip.
Step 4: Subtract that total amount from $25.
Step-by-step explanation:
The total amount paid will be the price for 3 biscuits, 3 sausages, and the tip. The change will be the difference between this sum and $25. Choice B is an example of one way this calculation can be done.
A restaurant customer left $0.90 as a tip. The tax was 6 percent and the tip was 10% of the after-tax cost. What was the total bill?
f(x)=|3x+5|+6
g(x)=7
find (f+g) (x).
Answer:
[tex](f+g) (x)=\mid 3x+5\mid+13[/tex]
Step-by-step explanation:
Operation of Functions
Given:
[tex]f(x)=\mid 3x+5\mid+6[/tex]
[tex]g(x)=7[/tex]
The sum of (f+g) (x) is:
[tex](f+g) (x)=\mid 3x+5\mid+6+7[/tex]
We cannot operate with the expression inside the absolute bars, thus:
[tex]\boxed{(f+g) (x)=\mid 3x+5\mid+13}[/tex]
Rolling a fair six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.
a. That if a 1 is rolled it that means that each other number was not rolled.
b. That the only possible outcomes are 1, 2, 3, 4, 5, and 6.
c. That each result will not be influenced by the previous result of the die roll.
d. That in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
Answer: D.
Step-by-step explanation: It explains the definition of random in particular with the die.
Random means in this context is
d. That in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, Rolling a fair six-sided die is supposed to randomly generate the numbers 1 through 6.
Random means here is that in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
learn more about probability here :
https://brainly.com/question/12905909
#SPJ2
What is 4/5 x 2/5? I need help
Answer:
8/25
Step-by-step explanation:
The weight of one serving of goldfish is 0.5 ounces. How many servings are there in 7.5 ounces of goldfish? Write your answer as a decimal.
convert
32 ½ meters to feet
Answer: 32 1/2 meters = 106.63 ft
Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)
Which of the following is NOT a possible root of the function? (Hint: Use the rational root theorem, write out all the possible roots, and see which one is NOT on your list.) Please use any sources to help you.
f(x)= 3x^3+2x^2+x+4
A. +4/3
B. +1
C. +3/4
D. +2
Given:
The function is
[tex]f(x)=3x^3+2x^2+x+4[/tex]
To find:
The value from the given options that is NOT a possible root of the function.
Solution:
According to rational root theorem, all possible roots are in the form of
[tex]x=\dfrac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}[/tex]
We have,
[tex]f(x)=3x^3+2x^2+x+4[/tex]
Here,
Leading coefficient = 3.
Constant term = 4
Factors of 3 are ±1, ±3.
Factors of 4 are ±1, ±2, ±4.
Using rational root theorem, all possible roots of given functions are
[tex]\pm 1,\pm 2,\pm 4,\pm \dfrac{1}{3}, \pm \dfrac{2}{3},\pm \dfrac{4}{3}[/tex]
Clearly, [tex]\dfrac{4}{3},1,2[/tex] are possible roots but [tex]\dfrac{3}{4}[/tex] is not the possible root.
Therefore, the correct option is C.
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85
Answer:
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85