Answer:
0.1008 = 10.08% probability of thunderstorms on both memorial day and independence day.
Step-by-step explanation:
Probability of independent events:
If two events are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
Event A: Thunderstorm on memorial day.
Event B: Thunderstorm on memorial day
The probability of a thunderstorm on memorial day 0.72
This means that [tex]P(A) = 0.72[/tex]
The probability of a thunderstorm on independance day is 0.14.
This means that [tex]P(B) = 0.14[/tex]
What is the probability of thunderstorms on both memorial day and independence day?
[tex]P(A \cap B) = P(A)P(B) = 0.72*0.14 = 0.1008[/tex]
0.1008 = 10.08% probability of thunderstorms on both memorial day and independence day.
Probabilities are used to determine the chances of events
The probability of thunderstorm on both days is 0.1008
Represent the event that there is thunderstorm on Memorial Day with A, and the event that there is thunderstorm on Independence Day with B
So, we have:
P(A) = 0.72
P(B) = 0.14
The probability of thunderstorm on both days is then calculated as;
P(Both) = P(A) * P(B) - P(A or B)
Given that the events are independent, the equation becomes
P(Both) = P(A) * P(B)
So, we have:
P(Both) = 0.72 * 0.14
Multiply
P(Both) = 0.1008
Hence, the probability of thunderstorm on both days is 0.1008
Read more about probabilities at:
https://brainly.com/question/25870256
If two bags of popcorn and three drinks cost $14,
and four bags of popcorn and one drink costs
$18, how much does a drink cost?
Answer:
2dollars
Step-by-step explanation:
one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.
The cost of each popcorn is $4 and the cost of each drink will be $2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.
Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,
2x + 3y = 14 ...1
4x + y = 18 ...2
From equations 1 and 2, then we have
2x + 3(18 - 4x) = 14
2x + 54 - 12x = 14
10x = 40
x = $4
Then the value of the variable 'y' is calculated as,
y = 18 - 4(4)
y = 18 - 16
y = $2
The cost of each popcorn is $4 and the cost of each drink will be $2.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
155 ° 35 ° x °
x = ? °
x=35
vertical opposite angles are equal.
Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12
Answer:
6,78
Step-by-step explanat
ion:data size :10
Sample mean:15
Standard sample deviation :6,782
Answer:
6,78
Step-by-step explanation:
Which number would be rounded UP to the nearest ten but DOWN to the nearest hundred?
A. 232
B. 238
C. 262
D. 268
Answer:
B
Step-by-step explanation:
A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4
Answer:
the correct answer is |x – 18| ≤ 4
just took the test
Step-by-step explanation:
hello,can you answer this question asap thxs
9514 1404 393
Answer:
111 1/9 pounds
Step-by-step explanation:
The given relationship is ...
delivered = ground × (1 -10%)
Then ...
ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb
It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.
HELP ME OUT !!! im stressing out keep getting it wrong
instructions find HM = 25 and mhm = 66 , find x and y
Answer:
x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))
Step-by-step explanation:
notice that x = MK = HM = 24.
Let the center of the circle be C.
Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).
Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)
Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))
hopefully this helped
Hannah's suitcase has the following dimensions.
length: 27 inches
width: 21 inches
depth: 14 inches
What is the volume of Hannah's suitcase in cubic inches?
Answer:7938 inches square
Step-by-step explanation:
multiply everything
Answer:
7938
Step-by-step explanation:
Please answer all of these
Answer:
1a 300
b 180
c 330
d 1470
e 180
f 7344
Step-by-step explanation:
The length AB of a rectangle ABCD is 8cm and its diagonal BD and measures 10 cm Find its breadth BC
how to solve the matrix equation for matrix Y.simplify all elements
[tex]Y\left[\begin{array}{ccc}-1&-4\\0&-5\\\end{array}\right] = \left[\begin{array}{ccc}5&-5\\8&8\\\end{array}\right][/tex]
Given YA = B, you can solve for Y by multiplying by A ⁻¹ on the right (on both sides of the equation). So we have
YA = B ==> (YA) A ⁻¹ = BA ⁻¹ ==> Y (AA ⁻¹) = BA ⁻¹ ==> Y = BA ⁻¹
provided that the inverse of A exists. In this case, det(A) = 5 ≠ 0, so the inverse does exist, and
[tex]A=\begin{bmatrix}-1&-4\\0&-5\end{bmatrix} \implies A^{-1}=\dfrac1{\det(A)}\begin{bmatrix}-5&0\\4&-1\end{bmatrix} = \begin{bmatrix}-1&0\\\frac45&-\frac15\end{bmatrix}[/tex]
Then
[tex]Y=\begin{bmatrix}5&-5\\8&-8\end{bmatrix}A^{-1} = \begin{bmatrix}-5&5\\-8&\frac{24}5\end{bmatrix}[/tex]
Design specifications require that a key dimension on a product measure 100 /- 10 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability
Answer:
0.8333
Step-by-step explanation:
Given :
Mean, X = 100
Lower Specification Limit, LSL = 100 - 10 = 90
Upper Specification Limit, USL = 100 + 10 = 110
Standard Deviation, σ = 4
The process capability index, Cpk;
Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]
Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]
Cpk = Min [0.8333 ; 0.8333]
Hence, Cpk = 0.8333
It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?
Answer:
2 Hours
Step-by-step explanation:
Required man hours to complete the full job = 12 *15
=180 Man hours
Required man hours to complete the 2/5 of the job = 180/5
= 36 Man hours
if 18 peoples are working,
required hours to complete the 2/5 of the job = 36 /18
= 2 hours
Please help i need the answer asap!!!
if you know the answer please give it to me as soon as you can!!
Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
Figure
А A
Figure B
How many squar
w many square are in
tigne
this
Answer:
7 square are 0resent on aaaaaa
Plz help on this question
Answer:
B
Step-by-step explanation:
Because it'll be 1²+2×1-3=0
And -3²+2(-3)-3=9-6-3=0
So it's impossible
(4x^5)^3 what is the equivalent?
[A] 4x^5+3
[B] 4x^5*3
[C] 4^3x^5+3
[D] 4^3x^5*3
Answer:
A
Step-by-step explanation:
They are different exponents but they have the same bas so you add them up.
4x^5+3 = 4x^8
[tex] \pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^{n} = {x}^{n} . {y}^{n} \\ \\ \bf \rightarrow \: {( {a}^{m} })^{n} = {a}^{m \times n} \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^{5} })^{3} \\ \bf = {4}^{3} \times ({x}^{5} )^{3} \\ \bf = {4}^{3} \times {x}^{5 \times 3} \end{array}}}}\end{array}}}}[/tex]
So option D) is the correct answer
The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?
Given:
The inequality is:
[tex]|2x-1|>3[/tex]
To find:
The solution set for the given inequality.
Solution:
We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].
We have,
[tex]|2x-1|>3[/tex]
It can be written as:
[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]
Case I:
[tex]2x-1<-3[/tex]
[tex]2x<-3+1[/tex]
[tex]2x<-2[/tex]
[tex]x<\dfrac{-2}{2}[/tex]
[tex]x<-1[/tex]
Case II:
[tex]2x-1>3[/tex]
[tex]2x>3+1[/tex]
[tex]2x>4[/tex]
[tex]x>\dfrac{4}{2}[/tex]
[tex]x>2[/tex]
The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].
Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].
Factor the polynomial expression 3x4 + 24x.
Answer:
3x ( x+2)(x^2−2x+4)
Step-by-step explanation:
3x^4 + 24x.
Factor out the greatest common factor
3x*x^3 + 3x*8
3x(x^3+8)
Then factor the cubic term
The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)
3x ( x+2)(x^2−2x+4)
How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.
Answer:
It is shifted left 5 units and up 2 units from the parent function.
Step-by-step explanation:
Given
[tex]y = \frac{1}{x}[/tex]
[tex]y' = \frac{1}{x+5} + 2[/tex]
Required
Compare both functions
First, translate y, 5 units left.
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex]y = \frac{1}{x}[/tex]
[tex]y_1 = \frac{1}{x + 5}[/tex]
Next, translate y1, 2 units up.
The rule is:
[tex](x,y) \to (x,y+2)[/tex]
So, we have:
[tex]y' = y_1 + 2[/tex]
[tex]y' = \frac{1}{x + 5} + 2[/tex]
Hence, the transformation is:
5 units left and 2 units up
Answer:
b
Step-by-step explanation:
Two professors are applying for grants. Professor Jane has a probability of 0.64 of being funded. Professor Joe has probability 0.28 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.
Required:
a. What is the probability that both professors get their grantsfunded?
b. What is the probability that at least one of the professors will befunded?
c. What is the probability that Professor Jane is funded but ProfessorJoe is not?
d. Given at least one of the professors is funded, what is theprobability that Professor Jane is funded but Professor Joe is not?
help will give brainliest asap!!
Answer:
C.
Don't have time for explanation... just trust me
Evaluate 2w^2-3w+7 when w=-2
Hey there!
2w^2 - 3w + 7
= 2(-2)^2 - 3(-2) + 7
(-2)^2
= (-2)(-2)
= 4
= 2(4) - 3(-2) + 7
2(4) = 8
3(-2) = -6
= 8 - (-6) + 7
= 8 + 6 + 7
8 + 6 = 14
14 + 7
= 21
Answer: 21
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help me with geometry
Answer:
x = 8
Step-by-step explanation:
Set 2x + 3 = 3x - 5
Solve for x
x = 8
A cricket bat is bought for $330. Later, it is sold with a loss of 15%.
How much is the oricket bat sold for?
After selling the cricket bat, how much money has been last?
Give your answer to two decimal places because it is a currency.
Answers:
Discount price = 280.50 dollarsAmount lost = 49.50 dollars================================================
Explanation:
If it's sold at a loss of 15%, then the store owner loses 0.15*330 = 49.50 dollars
So it was sold for 330- 49.50 = 280.50 dollars
----------------------------
An alternative method:
If the store owner loses 15%, then they keep the remaining 85% since 15%+85% = 100%.
85% of 330 = 280.50 dollars is the discount price
This means 330-280.50 = 49.50 dollars is the amount lost.
Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form. Be sure to include the correct unit in your answer.
Answer:
7 3/4ft
Next time when a question ask you to find the perimeter just add all the length of each sizes
What are the possible degrees for the polynomial function?
Answer: Option 1
Degrees of 6 or greater
Answered by Gauthmath must click thanks and mark brainliest
Please help me on this
Answer:
gshwhsye
Step-by-step explanation:
gshshhshshshjsjsjsj
Line K is parallel to line I.
k
m
n
Which angle is congruent to 24?
21
0 22
025
Answer:
<4 = <1
Step-by-step explanation:
Judging from the picture, <1 and <4 are opposite angles. Opposite angles are always congruent. Hope this helps!
The length of a rectangle garden plot is 3 metres greater than its
width.The area of the plot is 154 square metres.What is the width of the garden?
Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
Given formula
A = w · l
Substitute values into the formula
154 = w · (w + 3)
Expand Parentheses (Distributive property)
154 = w² + 3w
Subtract 154 on both sides
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
Solve for the quadratic equation
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
