Answer:
B
Step-by-step explanation:
15 pounds and 5 pounds per day so to figure out how many days you do division. The equation is 15÷5=3 so the answer is 3 days.
The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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On a test, you correctly answer six 5-point questions and eight 2-point questions. You earn 92% of the possible points on the test. How many points pis
the test worth?
The test is worth p-points,
30
Answer:
The test is worth 46 points.
cookies for a school fundraiser cost $3.75 per box. The total amount recieved from the cookie sale is $2718.75. How many boxes of cookies were sold
Answer:
725
Step-by-step explanation:
if $x$ and $y$ are positive integers such that $5x+3y=100$, what is the greatest possible value of $xy$?
The greatest possible value of $xy$ is $17\times5=\boxed{85}$. To get the greatest possible value of $xy$, we need to maximize the values of $x$ and $y$. We can start by rearranging the equation $5x+3y=100$ to solve for one of the variables in terms of the other:
$5x+3y=100 \implies 5x=100-3y \implies x=\frac{100-3y}{5}$
Since $x$ must be a positive integer, $100-3y$ must be divisible by 5. The largest multiple of 3 less than 100 is 99, so we can try values of $y$ starting from 1 and working up to 33 (because if $y\geq34$, then $5x\leq0$, which is not positive).
When $y=1$, we get $x=\frac{100-3}{5} = 19.4$, which is not an integer.
When $y=2$, we get $x=\frac{100-6}{5} = 18.8$, which is also not an integer.
When $y=3$, we get $x=\frac{100-9}{5} = 18.2$, still not an integer.
When $y=4$, we get $x=\frac{100-12}{5} = 17.6$, still not an integer.
When $y=5$, we get $x=\frac{100-15}{5} = 17$, which is an integer.
From here, we can continue to increase $y$ and see that the values of $x$ will only decrease. Thus, the greatest possible value of $x$ is 17 and the corresponding value of $y$ is 5.
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plz help me asnswer this question. Im on a time limit!!!!!!!!!
Answer:
\(100\)
Answer:
110 pounds
Step-by-step explanation:
This graph shows a positive correlation between the weight of the cheetah and the length.
Therefore, if the cheetah is 6ft long, the weight will be more than the previous one, but not extremely heavier. So 110lb seems like the closest.
Thanks
what is the product? 7⋅(−3)
A 21
B -21
C 4
D 10-
The correct answer:
b. -21
a binary tree is a structure in which each node is capable of having successor nodes, called .
A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."
In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.
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Write the word sentence as an equation.
The sum of a number x and 4 equals 12.
An equation that represents this sentence is
Answer: x+4 = 12
Step-by-step explanation:
Over 7 months, $200 was deposited into Emma's checking account for her paycheck each month. Which number sentence best illustrates the amount by which Emma's account changed at the end of 6 months?
140000 us the answer because 200 × 7 is 14000
Choose all that give the correct explicit and recursive formula for the sequence.
Answer: not clear
Step-by-step explanation:
PLEASEEEE HELP!!!!! I WILL MAKE BRAINLEST!!!!!!!!!!!!
What's the common difference of 5,10,20,40
Answer:
Geometrical sequence of x2, each number is being multiplied by 2.
Step-by-step explanation:
10/5 = 2
20/10 = 2
40/20 = 2
6(x−2)=−18 help meee
Answer:
x=-1
Step-by-step explanation:
Divide both sides by 6 you should get x-2=-3
then move the 3 infront of the 2 and make this - into this + so it should be x= -3+2
and then you get x=-1
Given:
EFGH is a parallelogram.
Given : EFGH is a parallelogram
Find x and mG.
F
G
(x + 54)
E
(2x - 6)
H
X=?
m
degrees
Answer:
x = 60
m∠G = 114 degrees
Step-by-step explanation:
In any parallelogram, every two opposite angles are equal in measuresIn the given figure
∵ EFGH is a parallelogram
∵ ∠E and ∠G are opposite angles
→ By using the rule above
∴ m∠E = m∠G
∵ m∠E = (2x - 6)°
∵ m∠G = (x + 54)°
→ Equate them
∴ 2x - 6 = x + 54
→ Subtract x from both sides
∵ 2x - x - 6 = x - x + 54
∴ x - 6 = 54
→ Add 6 to both sides
∵ x - 6 + 6 = 54 + 6
∴ x = 60
→ Substitute the value of x in the expression of ∠G to find it
∵ m∠G = 60 + 54
∴ m∠G = 114 degrees
ara scoops flour into a mixing bowl. Each scoop contains 34
cup of flour. Clara puts 5 scoops of flour into the mixing bowl, then transfers 13
of the flour into a small bowl. How many cups of flour are in the small bowl?
Answer:
1 1/4 cups
Step-by-step explanation:
Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units
The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
To find the economic order quantity (EOQ), we can use the following formula:
EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)
Given information:
Annual Demand = 3,000 units
Fixed Ordering Cost = $30
Carrying Cost per Unit = $1.43
Substituting the values into the formula:
EOQ = sqrt((2 * 3,000 * 30) / 1.43)
EOQ = sqrt(180,000 / 1.43)
EOQ = sqrt(125,874.125)
EOQ ≈ 354.91
Rounding the EOQ to the nearest whole number, we get:
EOQ ≈ 355 units
Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
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7. You have $2 worth of quarters, dimes, and nickels
and you have 12 total coins. How many of each do you
have?
Answer:
6 quarters, 4 dimes, and 2 nickels
please help i will give brainliest!!
Answer:
it is 8.o1 to the -12 power
Step-by-step explanation:love yall can i get brainliest i only need two more
HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION FOR ME I WILL MARK YOU THE BRAINLIEST AND I WILL GIVE YOU 5 STARS
Answer:
y=x-1
Step-by-step explanation:
Do the math. Just plug in x and y trust me it’s easy
Answer: y= x-1
Step-by-step explanation: y is always x minus 1 because -4 is one less than -3, 1 is one less than 2, and 4 is one less than 5.
What is 10log3 in precalculus
WHEN WE ARE GIVEN the base 2, for example, and exponent 3, then we can evaluate 23.
23 = 8.
Inversely, if we are given the base 2 and its power 8 --
2? = 8
-- then what is the exponent that will produce 8?
That exponent is called a logarithm. We call the exponent 3 the logarithm of 8 with base 2. We write
3 = log28.
We write the base 2 as a subscript.
3 is the exponent to which 2 must be raised to produce 8.
A logarithm is an exponent.
Since
104 = 10,000
then
log1010,000 = 4.
"The logarithm of 10,000 with base 10 is 4."
4 is the exponent to which 10 must be raised to produce 10,000.
"104 = 10,000" is called the exponential form.
"log1010,000 = 4" is called the logarithmic form.
Here is the definition:
logbx = n means bn = x.
That base with that exponent produces x.
Example 1. Write in exponential form: log232 = 5.
Answer. 25 = 32.
Example 2. Write in logarithmic form: 4−2 = 1
16 .
Answer. log4 1
16 = −2.
Problem 1. Which numbers have negative logarithms?
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
Do the problem yourself first!
Proper fractions.
Lesson 20 of Arithmetic
Example 3. Evaluate log81.
Answer. 8 to what exponent produces 1? 80 = 1.
log81 = 0.
We can observe that, in any base, the logarithm of 1 is 0.
logb1 = 0
Example 4. Evaluate log55.
Answer. 5 with what exponent will produce 5? 51 = 5. Therefore,
log55 = 1.
In any base, the logarithm of the base itself is 1.
logbb = 1
Example 5 . log22m = ?
Answer. 2 raised to what exponent will produce 2m ? m, obviously.
log22m = m.
The following is an important formal rule, valid for any base b:
logbbx = x
This rule embodies the very meaning of a logarithm. x -- on the right -- is the exponent to which the base b must be raised to produce bx.
The rule also shows that the exponential function bx is the inverse of the function logbx. We will see this in the following Topic.
Example 6 . Evaluate log3 1
9 .
Answer. 1
9 is equal to 3 with what exponent? 1
9 = 3−2
log3 1
9 = log33−2 = −2.
Compare the previous rule.
Example 7. log2 .25 = ?
Answer. .25 = ¼ = 2minus2. Therefore,
log2 .25 = log22−2 = −2.
Example 8. log3Logarithms = ?
Answer. Logarithms = 31/5. (Definition of a rational exponent.) Therefore,
log3Logarithms = log331/5 = 1/5.
Problem 2. Write each of the following in logarithmic form.
To see the answer, pass your mouse over the colored area.
To cover the answer again, click "Refresh" ("Reload").
a) bn = x logbx = n b) 23 = 8 log28 = 3
c) 102 = 100 log10100 = 2 d) 5−2 = 1/25. log51/25 = −2.
Problem 3. Write each of the following in exponential form.
a) logbx = n bn = x b) log232 = 5 25 = 32
c) 2 = log864 82 = 64 d) log61/36 = −2 6−2 = 1/36
Problem 4. Evaluate the following.
a) log216 = 4 b) log416 = 2
c) log5125 = 3 d) log81 = 0
e) log88 = 1 f) log101 = 0
Problem 5. What number is n?
a) log10n = 3 1000 b) 5 = log2n 32
c) log2n = 0 1 d) 1 = log10n 10
e) logn 1
16 = −2 4 f) logn 1
5 = −1 5
g) log2 1
32 = n −5 h) log2 1
2 = n −1
Problem 6. logbbx = x
Problem 7. Evaluate the following.
a) log9 1
9 = log99−1 = −1
b) log9 1
81 = −2 c) log2 1
4 = −2
d) log2 1
8 = −3 e) log2 1
16 = −4
f) log10 .01 = −2 g) log10 .001 = −3
h) log6Logarithms = 1/3 i) logbLogarithms = 3/4
Need help with Trigonometry will mark brainest!!
The height of the kite above the ground will be 108.22m.
How to get the height?From the information, the wind makes an angle of 56° to the ground and the kite is about 73m.
Therefore, the height of the kite above the ground will be:
Tan 56° = opposite/adjacent
1.48256 = x/73
x = 73 × 1.48256
x = 108.22m
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Meilssas family is driving out of state to her grandmother house they know that it takes 20 gallons of gas to get there and the cost of three gallons of gasoline is 10.50. How much should the family budget to make the one way trip
Answer:: The family budget to make the one-way trip should be $70. Since, they need 20 gallons for driving out of state to her grandmother's house
Step-by-step explanation:
Which of the diagrams below represents the statement "If it is a square, then
it is a rectangle"?
Answer:
A
Step-by-step explanation:
Im not 100% but im sure I did this question
The diagram which correctly represents the statement "If it is a square, then it is a rectangle" is; Figure A.
From set theory;
The statement " if it is A, then it is B" simply can be translated mathematically as A is a subset of B.
As such, every element of the set A is an element of Set B.In this case, Since the statement is; "If it is a square, then it is a rectangle".
The figure A correctly represents the statement; "If it is a square, then it is a rectangle".
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1 cubic kilometer equals 1,000 what
Answer:
1000 km^3
Step-by-step explanation:
1 km=1000m
1 cubic kilometer is equivalent to 1,000,000,000 cubic meters, due to cubing the conversion factor of 1,000 (meters per kilometer).
Explanation:1 cubic kilometer is equivalent to 1,000,000,000 (one billion) cubic meters. When converting units, you need to remember the relationships between those units. In this case, 1 kilometer is equivalent to 1000 meters. Therefore, to convert from cubic kilometers to cubic meters, you need to cube the conversion factor (1000 meters/kilometer). Hence, 1 cubic kilometer = 1,000^3 cubic meters = 1,000,000,000 cubic meters.
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What is the mode of the data set below 0,1,1,0,2,3,2,1,0,4,1,1
Answer: The mode would be 1
Step-by-step explanation: To find the mode of a set of numbers you need to
put all the numbers in order. Then, you need to count how many of each number you have in the set. And the number that appears the most is the mode.
Answer:
The mode is 1 because it appears the most amount of times
Step-by-step explanation:
Hope it helps :)
Help please due tomorrow
Answer: Its x^2 hope this helps
Step-by-step explanation:.
Answer:
a. 25
b. 34
Step-by-step explanation:
a). X²
if X=5
then
5²=25
b).(X +3)²
(5 +3)²
25+9
34
“A falcata is formed by taking a quadrant of a circle and removing a semicircle from it (see diagram).If the radius of the original circle is 2 units long, find the exact area of the falcata.”hello!! please help me out! i’m begging. this assignment is kicking my teeth in!!
step 1
Find out the area of the complete quadrant of the circle (1/4 of the complete circle)
\(A=\frac{1}{4}*pi*r^2\)where
r=2 units
substitute
\(\begin{gathered} A=\frac{1}{4}*pi*2^2 \\ A=pi\text{ unit}^2 \end{gathered}\)step 2
Find out the area of the semicircle removed
\(A=\frac{1}{2}*pi*r^2\)where the radius of the semicircle removed is half of the radius of the circle
so
r=2/2=1 unit
\(\begin{gathered} A=\frac{1}{2}*pi*1^2 \\ A=\frac{pi}{2}\text{ unit}^2 \end{gathered}\)therefore
to find out the area of the falcata, subtract the area of the removed semicircle from the area of the quadrant of the circle
The area of the falcata is
A=pi-pi/2=pi/2 unit2
the area of the falcata is pi/2 square unitsRound the density value of 2.865 g/cm3 to the nearest tenth.
The density value of 2.865 g/cm³ rounded to the nearest tenth is 2.9 g/cm³.
To round the density value of 2.865 g/cm³ to the nearest tenth, we look at the digit in the hundredth place, which is 6. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 6 in this case. The digit in the tenths place increases by 1, resulting in a rounded value of 2.9 g/cm³.
Rounding to the nearest tenth means that we are considering the value of the digit immediately to the right of the tenths place (hundredth place). If this digit is 5 or greater, we round up by increasing the digit in the tenths place by 1. If the digit is less than 5, we simply keep the digit in the tenths place as it is.
In the case of 2.865 g/cm³, the digit in the hundredth place is 6, so we round up the tenths digit to 9, resulting in a rounded value of 2.9 g/cm³.
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a factory produces laptops, and 95% of the laptops produced are tested and found to be functional. 5% of the laptops produced are defective. given that a laptop is randomly selected, and it is functional, what is the probability that it was tested?
The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.
Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).
The Bayes theorem can be used to determine P(T|F):
P(T|F) = P(F|T) * P(T) / P(F)
where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).
Using the conditional probability formula, we can determine P(F|T):
P(F|T) = P(F and T) / P(T)
Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.
Therefore:
P(F|T) = 0.95 / 0.95 = 1
Substituting into Bayes' theorem:
P(T|F) = 1 * 0.95 / 1 = 0.95
Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.
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Overview
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Question Progress
Homework Progress
13/60
ABC is a straight line.
A
B
С
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.
How far apart are his school and his house?
Answer:
2
Step-by-step explanation:
1/5*10