Evaluate the expression
answer: -24
tbh I’m not sure but thats what I got!
:D
of
recipe. Which shows the correct amount of flour you need in the most reduced
form?
HE
Answer:
You would need 1/5 cups of flour.
Step-by-step explanation:
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
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If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
What is the volume?I don’t know what it is and I need help
Answer:
33.51
Step-by-step explanation:
π× r.... 3.142 ×2 = 6.284
180/6.284 =28.644
Find the value of x and then length of each diagonal.
AC = 8x - 4
BD = 6x + 10
14+3(12+2)-5 to the power of 2=
show your work.
$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles
The measure of ∠B is 44°
Reason:
The known parameters are;
The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC
ΔABC ~ ΔACD,
∠A = 48°
BC = CD
Required:
The measure of angle ∠B
Solution:
ΔBDC is an isosceles triangle
Let x, represent ∠B
Therefore, ∠BDC = x, by base angles of an isosceles triangle
Given that ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;
∠ADC = 2·x by exterior angle of a triangle theorem
Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x
Which gives;
48° + x + 2·x = 180° sum of angles in a triangle theorem
[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]
∠B = x = 44°
The measure of ∠B = 44°
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2. Arcadia charges players a $15 admission fee to their gaming centre and $5 per game.
b) What is the rate of change for the relation between total cost and number of games and what is its
meaning in this relation?
c) What is the initial value for this relation and what is its meaning?
Answer:
1) The relationship is times 3
2) it is 5x3 so this the teh relation
Step-by-step explanation:
I got 100% in the question and qiz
what number when decreased by 10% is 180?
Answer:
Number 200 decreased by 10% (10 percent) of its value (percentage decrease) and calculated absolute change (actual difference). Answer: percentage decreased number = 180, absolute change (actual difference) = -20
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
180 - 10% = 162 so 162 is the answer
Find the value of x in each case:
Answer:
Sorry i don't know but i need these points *Lol* i am honest
Step-by-step explanation:
write the ratio in three ways 10 home runs for every 15 games
Answer:
................................
Answer:
10 to 15 (simplified: 2 to 3)
10/15 (simplified: 2/3)
10 : 15 (simplified: 2 to 3)
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
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Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
Х
?
Answer:
[tex]a_{16} = 121[/tex].
Step-by-step explanation:
To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].
To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].
In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].
Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].
In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:
[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].
You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8
Using the expected value, it is found that a price of $6 should be charged to make it a fair game.
--------------------------
The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.In a standard deck, there are 52 cards.
The cost of x.
There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.
There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.
There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.
The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.
Considering we want the expected value to be 0.
[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]
[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]
[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]
[tex]52x = 312[/tex]
[tex]x = \frac{312}{52}[/tex]
[tex]x = 6[/tex]
$6 should be charged.
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Kristin won 70 pieces of gum playing
hoops. After giving some away she only
has 54 remaining. How many did she give
away?
Answer:
16
Step-by-step explanation:
to find the answer we can do a subtraction problem.
70-54=?
70-54=16
so she gave away 16 pieces of gum.
If the temperature is 30, what is the temperature in Fahrenheit?
Answer: 86
Step-by-step explanation:
Answer:
It will be 86.0 Fahrenheit
Step-by-step explanation:
Four fifth of a number 'm' is 4 more than three-fourth of the same number. Find the number.
Answer:
Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.
Step-by-step explanation:
Let the number be x.
According to the question, lets form an equation
5
4x −4
3x +4
⇒ 5 4x − 4
3x =4
20
16x − 15x =4
⇒ 20x =4
⇒ x=4×20
⇒x=80
∴ The number is x=80.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies. How much milk and flour would he need to make 40 cookies?
Answer:
to get you answer you would have to add 1 1/2 and 2 1/4, then your equation would be 60 ÷ 3 3/4 , then whatever your total is, multiply that by 40 and that would be your answer
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies.
The amount of milk and flour will be
⇒ 1 1/2 + 2 1/4
⇒ 3/2 + 9/4
⇒ 15/4
Then the amount of milk and flour (x) that he needs to make 40 cookies will be
x / (15/4) = 40 / 60
x = 5/2 cups
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
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please help me with this sum
20 - 3 x 6 + 8 =
Answer:
10
Step-by-step explanation:
Use the PEMDAS rule.
20 - 3 * 6 + 8
= 20 - 18 + 8
= 20 - 10
= 10
When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10
What is BODMAS?The meaning of BODMAS is given below:
B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => SubtractionThe above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.
How to determine 20 - 3 × 6 + 820 - 3 × 6 + 8
Carry out multiplication
20 - 18 + 8
Carry out addition
20 - 10
Carry out subtraction
10
Thus,
20 - 3 × 6 + 8 = 10
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What is the quotation?
Answer:
the quotient is the result so 4.25
How many 1/5 cm can be cut from a 30 cm piece of ribbon
Answer:
6 ang
Step-by-step explanation:
mark me as brainliest
There are 450 kids in 6th grade. out of these kids 40% chose French as their connection. how many kid chose French?
Answer:
180 kids chose French
Step-by-step explanation:
40/100 = x/450
4/10 = x/450
10•45= 450
4•45= 180
What is the range?can someone please help I forgot to study
Answer
The range is the difference between the largest and smallest numbers.
Step-by-step explanation:
The range is the difference between the largest and smallest numbers.
III
O SYSTEMS OF LINEAR EQUATIONS
At a basketball game, a vendor sold a combined total of 150 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of here
Anyone know this!? Plz heppl
Answer:
-2+I nhgjkhgggggcdffdssssdddddfffyhjbnj
Find the value of this expression if x = 5.
Hi there!
»»————- ★ ————-««
I believe your answer is:
5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
a girl bought 14/3 kilogram of onion at the market which she put in 7 bags each holding an equal quantity. How many pounds of onions were in each bag?
Answer:
.66 are in each bag.
Step-by-step explanation:
14/3 = 4.66666666667
then you grab the answer for 14/3 and divide by 7
this in turn will get you .66 repeated
so .66 of a pound is in each 7 bags.
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
-3 1/8 Gallons
Step-by-step explanation:
First, you need to understand how many gallons are being lost per minute.
14 2/3 - 16 3/4 =1 1/12
After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.
There's your answer!
Answer:
the other guy who answered is correct aswell.
The answer is - 3 1/8
need proof? here ya go-
I DON'T KNOW HOW TO PROVE THIS IDENTITY, CAN U GUYS HELP ME ?
Try this way, all the details are in the attachment.
