Answer:
1/6 for number 1
4/6 but 1/6 for number 2
Answer:
3
Step-by-step explanation:
So they said to find what the number will stop on and they told you that it need to be less then 5 and it land on the gray and the number 3 my favorite number is gray and it is less than 5.
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
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
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
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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19 - 4x + 15x.
Please Help And Explain How To Do This.
Answer:
Step-by-step explanation:
19-4x+15x combine like terms
19+11x
SOLVE 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.
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
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
Helpp pls it’s 25 points
Answer:
A and 3 I believe
find the ordered pair for the solution -7x+3y=2
Answer:
(1, 3 )
Step-by-step explanation:
To find a solution choose a value for x, substitute into the equation and solve for y.
let x = 1 , then
- 7(1) + 3y = 2 , that is
- 7 + 3y = 2 ( add 7 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
One possible solution is therefore (1, 3 )
Answer:
Step-by-step explanation:
1 3
5(k+4)-2(2.5k-3)+12[tex]5(k+4)-2(2.5k-3)+12[/tex]
Answer:
38
Step-by-step explanation:
Melissa's table holds up to 200 pounds and her books are 24.5 how much books can get on the table
8 books
Step-by-step explanation:If melissa's table holds up to 200 pounds, and she has books weighing 24.5 pounds, we need to know how many times 24.5 can go into 200
200/24.4 ≈ 8.196...
However, because we aren't going to cut up the books into that remaining fraction all we care about is the whole number 8 and not the decimal of .196...
So, melissa can fit 8 books on that table. However, I wonder if the book's binding is made of metal because those are some heavy books.
Hope this helps :)
The number of books Melissa's table can hold is 8 books
How to solve division expression?Pounds of books Melissa's table can hold = 200 poundsPounds of each book = 24.5 poundsNumber of books Melissa's table can hold = Pounds of books Melissa's table can hold ÷ Pounds of each book
= 200 / 24.5
= 8.16326530612244
Approximately,
8 books
Learn more about division:
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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
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
help me please aaaaaaaaa
Answer:
7 and 6
Step-by-step explanation:
hope this helps you out
Answer:a is 6 b is 7
Step-by-step explanation:
a + b = 13
1+ 12 = 13
2+11 +13
3+10=13
4+9=13
5+8=13
6+7= 13
6x7 is 42
Equations and Inequalities One-Pager
Angie uses the equation E=0.03s + 25,000 to find her yearly earning E based on her total sales s. What is the independent variable
Answer:
25000
Step-by-step explanation:
it's independent because it's not related with her total sales s
mx - y = 7
How do I solve for x
Explanation and Awnser:
y=mx−7
Swap sides so that all variable terms are on the left hand side.
mx−7=y
Add 7 to both sides.
mx=y+7
Divide both sides by m.
m
mx
=
m
y+7
Dividing by m undoes the multiplication by m.
x=
m
y+7
Suppose you have ordered one medium onion ring and one 16oz chocolate shake from Burger King. The onion rings have 19 grams of fat and the shake has 23 grams of fat. If each cheeseburger has 13 grams of fat, how many cheeseburgers can you order and still keep the total fat content of the meal to no more than 81 grams?
Part A: Write the question/inequality for the situation.
Part B: Solve part A, Explain or show your work for full credit.
Part C: Interpret the meaning of the solution from part B.
Part A:
23 + 13x ≤ 81
Part B:
23 + 13x ≤ 81
-23 -23
13x ≤ 58
/13 /13
x ≤ 4.46
Part C:
This means that you can have 4 cheeseburgers while keeping the fat under 81 grams.
Solve the following inequality. Show your work. 2m + 6 > 7(m – 2)
Answer:
m < 4
Step-by-step explanation:
Given
2m + 6 > 7(m - 2) ← distribute
2m + 6 > 7m - 14 ( subtract 2m from both sides )
6 > 5m - 14 ( add 14 to both sides )
20 > 5m ( divide both sides by 5 )
4 > m , thus
m < 4
Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.
Answer:
∠1 ≅ ∠4 because yeah
Step-by-step explanation:
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 graph is the solution to the inequality below?
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-11Brainliest! Correct! Fast!
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
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:
Is this congruent by SSS, SAS, AAS, ASA??
Answer:
sss
Step-by-step explanation:
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
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
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:
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]