Answer:tff
Step-by-step explanation:
There are only 4 mint biscuits and 1 toffee biscuit in a tin. There are only 5 mint sweets and 3 strawberry sweets in a packet. Michaels mum lets him take one biscuit from the tin and one sweet from the packet. Michael takes a biscuit at random from the tin. He also takes a sweet at random from the packet. Work out the probability that either the biscuit is mint, but not both.
Answer:
0.425
Step-by-step explanation:
Given that there are 4 mint biscuits and 1 toffee biscuit in a tin and 5 mint sweets and 3 strawberry sweets in a packet.
So, the total number of biscuit in tin = 4+1= 5 and
Number of mint biscuit in tin = 4
Number of toffee biscuit in tin = 1
So, the probability of picking 1 mint biscuit from tin,
[tex]p_1[/tex]=(Number of mint biscuit in tin)/(Total number of biscuit in the tin)
[tex]\Rightarrow p_1 =4/5 = 0.8[/tex]
The probability of picking 1 toffee biscuit from tin,
[tex]p_2[/tex] =(Number of toffee biscuit in tin)/(Total number of biscuit in the tin)
[tex]\Rightarrow p_2=1/5 = 0.2[/tex]
Similarly, the total number of sweets in the basket = 5+3=8 and
Number of mint sweets in the basket = 5
Number of strawberry sweets in the basket = 3
So, the probability of picking 1 mint sweets from the basket,
[tex]p_3[/tex] =(Number of mint sweets in the basket)/(Total number of sweets in the basket)
[tex]\Rightarrow p_3=5/8 = 0.625[/tex]
The probability of picking 1 strawberry sweets from the basket
[tex]p_4[/tex] =(Number of strawberry sweets in the basket)/(Total number of sweets in the basket)
[tex]\Rightarrow p_4=3/8 = 0.375[/tex]
As Michael takes a biscuit from the tin as well as a sweet from the packet randomly, so the possible combinations can be
A) 1 mint biscuit and 1 mint sweets,
B) 1 toffee biscuit and 1 strawberry sweets,
C) 1 mint biscuit and 1 strawberry sweets, and
D) 1 mint sweets and 1 toffee biscuit.
Here, (C) and (D) are the desired case of either the biscuit is mint, but not both.
So, the probability of either the biscuit is mint, but not both
= Probability of ( 1 mint biscuit and 1 strawberry sweets) or (1 mint sweets and 1 toffee biscuit)
[tex]=p_1 \times p_4 + p_2\times p_3 \\\\=0.8 \times 0.375 + 0.2\times 0.625 \\\\=0.425[/tex]
Hence, the probability of either the biscuit is mint, but not both is 0.425
Im legit stuck on this question someone please help me. Q: Anthony purchased 7 5/12 (its written as a fraction btw) pounds of grapes and Elva purchased 3 2/12 (also written as a fraction). How many more pounds of grapes did Anthony purchase. Simplify your answer.
Answer:
4 1/6 or 4 2/12 pounds
Step-by-step explanation:
Which graph is the solution to the inequality below?
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-11SOLVE FOR X. HELP ME NOW PLEASE!
Answer:
For number 2, its A. For number 1, its C.
Step-by-step explanation:
For both equations, you just set it equal to to each other because alternate interior angles are equivalent.
2) The equation would be
7x+3=6x+12
Then solve.
1) The equation would be
14x-3=95
Then solve.
I love geometry! If you have questions, just comment.
LOOK AT PICURE, THEN ANWSER QUESTION, I WILL MARK BRAINIEST WHOEVER HAS CORRECT ANWSER
Answer:
A is correct
Step-by-step explanation:
Answer:
it is letter A
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
What pair of factors of -45 has a
sum of 4?
Answer:
9 and -5
Step-by-step explanation:
9*-5=-45
9+-5=4
The pair of factors is 9 and -5.
What is a factor?
The factor of a number is another number that can divide the first number without any remainder.
Let, one of the factors is x.
Then, the other factor is = -45/x.
Given,
x + (- 45/x) = 4
⇒ x - 45/x = 4
⇒ x - 45/x - 4 = 0
⇒ x² - 45 - 4x = 0
⇒ x² - 4x - 45 = 0
⇒ x² - 9x + 5x - 45 = 0
⇒ x(x-9) + 5(x-9) = 0
⇒ (x-9) (x+5) = 0
Hence, x = 9, -5.
Learn more about factors here: https://brainly.com/question/16603643
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Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
More can be learned about compound interest at https://brainly.com/question/25781328
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True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answer:
true
Step-by-step explanation:
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
Chau has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?
Answer:
50 meals.
Step-by-step explanation:
30 divided by 3/5= 50
help me I'm bout to breakdown on this and cry help I'm rlly not ok
Answer:
বাংলা ৬ নাম্বার প্রশ্নের উওর টা কি
Answer: 3/5 is the correct answer
Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.
Answer:
∠1 ≅ ∠4 because yeah
Step-by-step explanation:
A table listing pairs of values for Length in feet represented by x and Cost in thousands of dollars represented by y. Length, or X values: 27, 18, 25, 32, 18, 26, 36. Cost, or Y values: 94, 56, 58, 123, 60, 87, 145.
a. Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and the y -intercept to the nearest integer.
y= ______
b. Identify the correlation coefficient. Round to the nearest thousandth.
r=_________
Question 2
Interpret the correlation coefficient.
The data show a _______ correlation.
Question 3
c. Interpret the slope and the y -intercept of the line of best fit.
A.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the length of the sailboat cannot be negative.
B.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , indicates the smallest length of a sailboat.
C.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the cost of the sailboat cannot be negative.
D.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b, indicates the initial cost of the sailboat.
Question 4
d. Use the model from part (a) to approximate the cost of a sailboat that is 20 feet long.
The sailboat costs $______.
e. Use the model from part (a) to predict the length of a sailboat that costs $147,000. Round to the nearest foot.
The length is about _______ feet.
Answer:
Step-by-step explanation:
Q1
a. y=4.9x -38
b. r=0.936
Q2
strong positive
Q3
Answer c.
Q4
d.y=4.9x -38, for x=20, y=60$
ey=4.9x -38, for y=147,00, x=(147,000-38)/4.9=29,992ft
Answer:
Step-by-step explanation:
Q1
a. y=4.9x -38
b. r=0.936
Q2
strong positive
Q3
Answer c.
Q4
d.y=4.9x -38, for x=20, y=60$
ey=4.9x -38, for y=147,00, x=(147,000-38)/4.9=29,992ft
Step-by-step explanation:
Solve for the missing angle measures
Answer:
Set 1 angles a and c are 62
Set 2 angles b and d are 120
Step-by-step explanation:
angle a = angle c = 62
angle b = angle d = 120
DO Y'ALL KNOW THE ANSWER?
Answer:
C
Step-by-step explanation:
12000 feet equals about 2 miles.
5280 is about half of 12000 so it is about 1 mile.
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
Which graph has a slope of 4/5 ?
Answer:
quadratic
Step-by-step explanation:
maybe you can try searching in google
1)4-2(x + 19) = 50
2)7(x-3)-14=70
Answer:
1. x=4
2. x=15
Step-by-step explanation:
1. Add '-42' to each side of the equation.
42 + -42 + -2x = 50 + -42
Combine like terms: 42 + -42 = 0
0 + -2x = 50 + -42
-2x = 50 + -42
Combine like terms: 50 + -42 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
2.
Add '35' to each side of the equation.
-35 + 35 + 7x = 70 + 35
Combine like terms: -35 + 35 = 0
0 + 7x = 70 + 35
7x = 70 + 35
Combine like terms: 70 + 35 = 105
7x = 105
Divide each side by '7'.
x = 15
Simplifying
x = 15
Please Answer if you're a smarty pants in Algebra!
[tex]\huge\text{B. $\boxed{7x-2y=39}$}[/tex]
Hey there! We can use point-slope form to start off the equation, then change that to standard form.
[tex]\begin{array}{c|l}\textbf{Solving}&\textbf{Reasoning}\\\cline{1-2}\\y-y_1=m(x-x_1)&\text{Start with point-slope form.}\\\\y-(-2)=\dfrac{7}{2}(x-5)&\text{Substitute in the known values.}\\\\y+2=\dfrac{7}{2}(x-5)&x-(-y)=x+y\\\\y+2=\dfrac{7}{2}x-\dfrac{35}{2}&\text{Use the distributive property.}\\\\-\dfrac{7}{2}x+y=-\dfrac{39}{2}&\text{Move the variables to the left.}\\\\\boxed{7x-2y=39}&\text{Multiply everything by $-2$.}\end{aligned}[/tex]
what is the simplified version of the rational expression -3x+12/32-8x
Answer:
-11x+12/32
Step-by-step explanation:
how do u find the slope of this lol
Answer:
y=3x+6
Step-by-step explanation:
3 is the slope
6 is the y intercept
remember rise/run
•first find VISIBLE points and count squares up and then right or down and left depending on if its negative slope or not
Paige ran 3 miles on Monday, walked 8 miles Tuesday
and ran a combined 11 miles on Wednesday and
Thursday. How many total miles did Paige exercise in
four days?
Answer:
22
Step-by-step explanation:
add 11 + 8+ 3
Evaluate x + 2y when x = 3.5 and y = -1.7
Answer:
0.1
Step-by-step explanation:
x + 2y
3.5 + 2(-1.7)
3.5 + (-3.4)
3.5 - 3.4
0.1
19 - 4x + 15x.
Please Help And Explain How To Do This.
Answer:
Step-by-step explanation:
19-4x+15x combine like terms
19+11x
It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?
Brainliest! Correct! Fast!
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Is this congruent by SSS, SAS, AAS, ASA??
Answer:
sss
Step-by-step explanation:
look at the pic below
answer quick please I need this asap
i will mark thx, star you & mark brainliest
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \cos( \frac{5\pi}{12} ) = \cos( \frac{6\pi}{12} - \frac{\pi}{12} ) = \\ [/tex]
[tex] \cos( \frac{\pi}{2} - \frac{\pi}{12} ) = \sin( \frac{\pi}{12} ) \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Also we have :
[tex] \sin( \frac{5\pi}{12} ) = \cos( \frac{\pi}{12} ) \\ [/tex]
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So :
[tex] \cos( \frac{\pi}{12} ). \sin( \frac{\pi}{12} ) + \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) . \cos( \alpha ) [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
So ;
[tex]2 \sin( \frac{\pi}{12} ) . \cos( \frac{\pi}{12} ) = \\ [/tex]
[tex] \sin(2 \times \frac{\pi}{12} ) = \sin( \frac{\pi}{6} ) \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \sin( \frac{\pi}{6} ) = \cos( - \frac{\pi}{3} ) \\ [/tex]
Thus the correct answer is the first option.
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A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?
Multiply your answer in the first question (the number of weeks) by 34.