Answer:
0.9844
Step-by-step explanation:
This is a binomial probability problem.
Probability of getting a correct answer: p = 1/4
Probability of getting an incorrect answer: q = 3/4
Number of questions; n = 3
Thus;
probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)
From binomial probability the formula is;
P(X = x) = C(n, x) × p^(x) × q^(n - x)
P(X = 2) = C(3, 2) × (¼)² × (¾)¹
P(X = 2) = 3 × 0.0625 × 0.75
P(X = 2) = 0.1406
P(X = 1) = C(3, 1) × (¼)¹ × (¾)²
P(X = 1) = 3 × 0.25 × 0.5625
P(X = 1) = 0.4219
P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³
P(X = 0) = 0.4219
P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219
P(x ≤ 2) = 0.9844
[x = 4y+7
|2x - 6y = 12
What are x and y
x=3 and y = -1. ....thank uh.. ,
In what time will Rs 24000 amount to Rs 30000 at 10% p.a.?
Answer:
2.5 years
Step-by-step explanation:
Given data
Principal= Rs 24000
Final amount A= Rs 30000
Rate r= 10%
The simple interest expression is
A=P(1+rt)
substitute
30000=24000(1+0.1*r)
30000=24000+2400t
30000-24000=2400t
6000=2400t
t= 6000/2400
t=2.5
Hence the time is 2.5 years
How would you rewrite this expanded form in exponential form?
7x7x7
1. 7^3
2. 3^7
Answer:
1st option is right
Step-by-step explanation:
hope it helps
Answer:
[tex]7^{3}[/tex]
Step-by-step explanation:
There are three 7's, so you would write it as [tex]7^{3}[/tex]I hope this helps!
Which value is a solution to the inequality x 4
Answer:
The answer is D
Step-by-step explanation:
We want to see which of the given values is a solution of the inequality:
x < 4
The correct option is A, x = 3.
Finding the solution:
So the inequality:
x < 4
This means that the variable must be a number smaller than 4.
Then we just need to select the option that is smaller than 4, the only option that meets this requirement is option A, x = 3
Also, as you can see in the number line, the only number that is in the shaded part is x = 3 (from the ones in the options).
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
4. Angie was given a gift card with a $75 balance. She only uses the gift card to purchase her daily cup of chai tea from her favorite café. A cup of tea is $2.85. The equation y = 75 - 2.85x represents the amount of money remaining on the gift card after x cups of tea. a. Identify and interpret the x- and y-intercepts. Round to the nearest tenth, if necessary. b. Predict how many cups of tea Angie has purchased when the gift card balance is about $35.
Answer:
Angie originally has $75 on her card.
She only uses the card for a daily cup of tea of $2.85
Then the equation:
y = $75 - $2.85*x
represents the balance on the card after x cps of tea.
a) The x-intercept is the pair (x, 0), meaning that y = 0, so this is the point at which the balance of the card is zero.
Here we need to solve:
0 = $75 - $2.85*x
$2.85*x = $75
x = $75/$2.85 = 26.3
Here we have a particular case because she can not buy 0.3 of a cup of tea, so the card will never reach a balance of $0.
The y-intercept is the pair (0, y) so we have x = 0, then: y = $75 - $2.85*0 = $75
This is the initial balance of the card.
b) Here we need to solve
y = $35 = $75 - $2.85*x
for x
$35 = $75 - $2.85*x
$35 + $2.85*x = $75
$2.85*x = $75 - $35 = $40
x = $40/$2.85 = 14.03
So after 14 cups of tea, the card's balance will be near $35.
What was the amount of Steve's check if he left a 15% tip totaling
$7.26?
180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg. What is the IQR of the lion's weights.
Answer:
18
Step-by-step explanation:
Given the data:
180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg
The interquartile range (IQR) = Q3 - Q1
Reordering the data:
180, 188, 190, 192, 195, 200, 205, 209, 250
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) = 7.5 th term = (205+209)/2 = 207
Q1 = 1/4(n+1)th term
Q1 = 1/4(10) = 2.5th term = (188+190)/2 = 189
Q3 - Q1 = 207 - 189 = 18
What is the value of (5ý + 3) + 5?
Answer:
5y + 8
Step-by-step explanation:
5y + 3 + 5
5y + 8
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Shellys square garden has an area of 81f ft^2 what is the length of the side PLS HELPPPP
Answer:
9 ft
Step-by-step explanation:
Hope this helps!
Have a great day!
manav needs 40% marks to pass. if he secures 208 marks and falls short by 16 marks what was the maximum marks he could have got
Answer: the max marks he could have gotten are 224
Step-by-step explanation: 208+16=224.
find the area of the following
pls
Area of a triangle is 1/2 x base x height.
Base is given as 14
Height is given as 10
Area = 1/2 x 14 x 10
Area = 70 square meters
Answer:
A = 70 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 10 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 10 = 7 × 10 = 70 m²
What is the solution to the inequality -3x - 42 > 3?
O A. X > -13
O B. X<-13
o c. X > -15
O D. x < -15
Answer:
the solution is D, x<-15.
Answer:
D.x<-15
Step-by-step explanation:
-3x-42>3
-3x>3+42
-3x>45
x<-45/3
x<-15
7. Tariq can play 18 holes of golf in 180 minutes. Calculate what is his average rate per hole?
Hassan sells fruits and vegetables at the market
- the mass of fruit and vegetables are in the ratio. fruit: vegetables =5:7
if hassan sells 1.33 tones of vegetables how many kilograms of fruits did he sell?
- the amount of money hassan receive from selling fruits and vegetables is in the ratio .
fruit: vegetables =9:8
hassan receives total of $5765 from selling fruits and vegetables. how much did he receive from selling fruits and vegetables each.
-hassan sold oranges at $0.35 per kg .if he reduced the price for 40%. what is new price of oranges per kilograms.
- the sale price of oranges $0.35 was increased of 25% from the previous price ,calculate previous day price .
hlp plzzzzzzzzzzzzz
Answer:
950kg
Fruits = 3052.06
vegetables = 2712.94
$0.12
$0.44
Step-by-step explanation:
The first step is to determine the total tonnes of fruits and vegetables sold
7/12 x b = 2.28
b = 2.28 tonnes
Next we determine the tonnes of fruits sold
5/12 x 2.28 = 0.95 tonnes
Next we convert tonnes to kg
1 tonne = 1000kg
0.95 x 1000 = 950 kg
Money he received from selling fruits = 9/17 x $5765 = $3052.06
Money he received from selling vegetables = $5765 - $3052.06 = $2712.94
If price was reduced by 40%, price would be (100-40%) 60% of the original price
0.6 x 0.35 = $0.21
If price was increased by 25%, price would be (100 + 25) 125% of the original price
1.25 x 0.35 = $0.44
In this exercise we have to use the knowledge of finance and percentage to calculate the values of vegetables and fruits:
A)[tex]950\ kg[/tex]
B)Fruits: [tex]\$ 3052.06[/tex] and Vegetables: [tex]\$ 2712.94[/tex]
C)[tex]\$0.12[/tex]
D)[tex]\$0.44[/tex]
The first step is to determine the total tonnes of fruits and vegetables sold:
[tex](7/12)*( b )= 2.28\\b = 2.28\ tonnes[/tex]
Next we determine the tonnes of fruits sold:
[tex](5/12)*( 2.28) = 0.95 \ tonnes[/tex]
Next we convert tonnes to kg:
[tex]1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg[/tex]
Money he received from selling fruits: [tex](9/17)*(5765) = \$3052.06[/tex] Money he received from selling vegetables: [tex]5765 - 3052.06 = \$2712.94[/tex]
If price was reduced by 40%, price would be 60% of the original price, so:
[tex](0.6)*(0.35) = \$0.21[/tex]
If price was increased by 25%, price would be 125% of the original price, will be:
[tex](1.25)*(0.35) = \$0.44[/tex]
See more about finances at brainly.com/question/10024737
Triangle DEF has the following measures.
DE=7[tex]\sqrt{3}[/tex]
EF=14
DF=7
Is TRIANGLE-DEF a special right triangle?
If so, is it a 30-60-90 or a 45-45-90?
Thank you so much! :)
Each exterior angle in a regular polygon has a measure
of 18. How many sides does the polygon have?
O 18
0 20
0 36
O 10
1
2
Answer:
20
Step-by-step explanation:
20
Step-by-step explanation:
The total exterior angles of the polygon equals to 360°.
360÷18(the size of the angles each side has)
thus answer =20
which of the following statements is correct
please help ASAP need answer fast
find the unknown side length. round to the nearest tenth. A.4.65 B. 6.55 C. 5.66 D. 6.77 E. 7.33
Answer:
A is correct is may answer
I HOPE IS HELPS
Loki wrote 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
Answer:
30 minutes!!
Step-by-step explanation:
60 ÷ 12 = 5 seconds = 1 / 12 of a minute
5 x 6 = 30 seconds
What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
A student has four sticks of wood that measures 3inches 4 inches 5 inches and 6 inches can the student make a right triangle why or why not?
PLEASE HELP ME I need help and no body is answering and it sucks !! PLEASE ANSWER ⚠️⚠️
Answer:
Yes, the student can use three of these sticks to make a right triangle.
Step-by-step explanation:
The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.
Someone HELLPPPPPPPPPPPPP
Answer:
I am pretty sure the answer is B.
Answer:
B
Step-by-step explanation:
These are confusing, so I understand why it's a little bit of a frustration lol.
The first thing to look for is where the point is placed. This is -1, so make sure it's not on a positive 1.
All of them are using open circles, so this is such an easier way to tell which one to use. If it did have a closed and open circle for the point, remember that the inequality symbols > and < will always have an open circle. (By open I mean it isn't filled in).
The next thing to look for is to look where the line should be going. I can see that you selected D, but you want x to be less than -1, not greater. If the inequality symbol is turned away it means the number/variable is less than whatever it's being compared to, if that makes sense.
It's almost so simple yet so confusing at the same time. Good luck :)
please help me!!!!!!
Answer:
D
Step-by-step explanation:
because u have 5 potatoe bags and it .............
Function 5400(4)^2t+t
Answer:
86401t
hope this helps
Answer:
s(t)=21500(16)^t
Step-by-step explanation:
what does x equal help please
Step-by-step explanation:
angle HIJ=107°
angle IDJ=31°
now,
angle HIJ+angle JID=180°{ being straight angle}
107+angle JID=180°
angle JID=180°-107=73°
again,
angle JID+angleIDJ+angleDJI=180°{ sum of angle of triangle}
73°+31°+angleDJI=180°
angle DJI=180°-1104°=76°
hence,
angleAJF=angleDJI{ vertically opposite angle}
x=76°
hope it helps.
Use the Distributive Property to simplify the expression. 35(w−2)
The answer is 35w - 70
[tex]\huge\boxed{Hello\;there!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
We multiply a by b and c.
[tex]\rm{35(w-2)}\\\rm{35w-70[/tex]
[tex]\huge\boxed{\mathfrak{Answer:{\boxed{35w-70}}}}}[/tex]
[tex]\bold{Hope\;it\;helps!}[/tex]
[tex]\rm{Have\;a\;nice\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
Find the explicit formula for the given sequence.
Answer:
A
Step-by-step explanation:
given the sequence above using using two as a first term the only formula fits the sequence above is A
Answer:
A
Step-by-step explanation:
There is a common ratio r between consecutive terms
r = 8 ÷ 2 = 32 ÷ 8 = 128 ÷ 32 = 4
This indicates the sequence is geometric with nth term ( explicit formula )
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 2 and r = 4 , then
[tex]a_{n}[/tex] = 2 . [tex]4^{n-1}[/tex] → A
HELP PLEASE ASAO I WILL MARK BRAINLIEST
Answer:
D)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
picture isnt that well taken.. but i believe the answer is D.
Pete and Marsha are going to buy a swimming pool. Mike wants a rectangular one that is 18 feet wide, 20 feet long, and 6 feet deep, and Marsha wants a circle shaped pool that is 20 feet across and 6 feet deep. They decide to buy the pool that cost less to fill. If the price of water is 25 cents per cubic foot, which pool do they buy and how much does it cost?
Answer:
The pool that they buy is the circular pool which Marsha wants
The cost of the circular pool is $471.25
Step-by-step explanation:
The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;
The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep
The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep
The price of water, P = 25 cents per cubic foot
The pool they decide to buy = The pool that costs less to fill
The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³
The cost of filling the pool Pete wants, C₁ = V₁ × P
∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars
The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³
The cost of filling the pool Marsha wants, C₁ = V₁ × P
∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars
The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill
