Answer:104
Step-by-step explanation:
If 1/2 d=52,
d/2=52
Multiply both sides by 2.
Thus, d=52×2= 104.
Hope this helps! :)
PROBABILITY IN FRACTIONS PLSSSSSSS
A score that is 3 points lower than the sample mean has a z-score of z=-0.25, and a score of X= 44 has a z-score of -0.75. What is the sample mean? O a. M=48 b. M=56 c. M=51 d. M=53
The sample mean is c) M=51.
To find the sample mean, we can use the formula for z-score:
z = (X - M) / s
where:
In this case, we have two equations with two unknowns:
-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s
Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M
Simplifying gives us:
-0.25s = -3
Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M
Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M
Simplifying gives us:
9 = 44 - M
Finally, we can solve for M:
M = 44 - 9
M = 35
So the sample mean is 35.
However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.
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Of the positive integers less than 2021, how many can be written
as a difference of two powers of 2?
Answer:
61
Step-by-step explanation:
You want the number of positive integers less than 2021 that can be written as the difference of two powers of 2.
Powers of 22^12 = 4096 and higher powers cannot produce integers less than 2021 when other powers of 2 are subtracted. Hence we're looking for pairs of powers that are 2^11 and smaller.
2^11 = 2048, which is 27 more than 2021. This means a number in range can be generated only by subtracting a power of 2 from 2^11 that is 2^5 = 32 or greater.
CombinationsThere are 66 pairs (combinations) of numbers in the range 0 to 11. Except for the 5 pairs (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), they all represent pairs of powers of 2 that will have a unique difference less than 2021.
There are 61 positive integers less than 2021 that can be written as the difference of powers of 2.
Mckenna spends 7/4 hours mopping the floors and 27/8 hours mowing and weeding the yard how many hours does she needs to spend on her chors
The total amount of time McKenna spends on her chores is 41/8 hours, or approximately 5.125 hours.
To find the total amount of time McKenna spends on her chores, we need to add up the time she spends mopping the floors and mowing and weeding the yard.
First, let's convert both the time spent mopping the floors and mowing and weeding the yard to a common denominator. The least common multiple of 4 and 8 is 8, so we can convert 7/4 hours to
7/4 * 2/2 = 7/2 hours.
Next, we can add the time spent on each chore:
7/2 hours + 27/8 hours = (14 + 27)/8 hours = 41/8 hours.
So, the total amount of time McKenna spends on her chores is 41/8 hours, or approximately 5.125 hours.
It is important to note that this calculation assumes that the time spent on each chore is a continuous amount of time, rather than broken up into smaller increments throughout the day.
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elissa earned $152.84 this week, which was $21.65 more than she earned last week. how much did she earn last week?
Melissa earned [tex]$152.84\\[/tex] this week. This means that she earned a total of [tex]$174.49[/tex] over the two week period.
To determine how much Melissa earned last week, we can subtract the [tex]$21.65[/tex] that she earned more this week from the total amount earned over the two week period. Therefore, Melissa earned [tex]$152.84[/tex] this week, and [tex]$21.65[/tex] more than she earned last week. Subtracting [tex]$21.65[/tex]from [tex]$174.49[/tex] gives us [tex]$152.84[/tex], which is the amount Melissa earned last week. This means that Melissa earned [tex]$152.84[/tex] last week .To summarize, Melissa earned $152.84 this week, which was[tex]$21.65[/tex] more than she earned last week. This means that Melissa earned a total of [tex]$174.49[/tex]over the two week period, and by subtracting [tex]$21.65[/tex] from the total amount earned over the two week period, we can determine that Melissa earned[tex]$152.84[/tex] last week.
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Leila had 1 3/4 of a bag of chips. Her brother gave her 1 1/2bags of chips. How many
does Leila have altogether?
(x-3)(3x-5) Expressed as a trinomial.
The expression can be written as the trinomial below.
3x2 - 14x + 15
How to write this as a trinomial?Here we just need to expand the expression:
(x - 3)*(3x - 5)
Just expanding that product we will get:
(x - 3)*(3x - 5)
x*(3x) - 3*(3x) + x*(-5) - 3*(-5)
3x^2 - 9x - 5x + 15
3x2 - 14x + 15
So we have 3 terms now, thus, this is a trinomial.
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Which brand will have the lower lifetime cost, and how much lower will it be? hints: if the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the lifespans. remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent. a. brand u will be $1,051.92 cheaper than brand v. b. brand u will be $976.92 cheaper than brand v. c. brand v will be $75 cheaper than brand u. d. brand v will be $2109.40 cheaper than brand u.
a. Brand U will be $1,051.92 cheaper than Brand V. Option A is the correct answer to the given question.
To calculate the lifetime cost of each oven, we need to consider the initial purchase price, daily electricity costs, and lifespan. For Brand U, the lifetime cost would be:
Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan)
= $2,250 + ($0.16 × 365 × 24)
= $4,013.60.
For Brand V, assuming two repurchases to equalize the lifespan, the lifetime cost would be: Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan × 3)
= $725 × 3 + ($0.28 × 365 × 8 × 3)
= $3,961.68.
Therefore, Brand U will have a lower lifetime cost than Brand V by $1,051.92 (option a).
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Complete Question
Pam has just moved into a new home and wants to purchase an oven. She expects to live in this house for the foreseeable
future. She has narrowed her choices down to two options. Consider the following table, which describes the prices, daily
electricity costs, and lifespans of the two ovens she is considering: T Brand Price Avg. $2,250 Cost/Day $0.16 Lifespan Brand U 24 years Brand V $725 $0.28 8 years
Which brand will have the lower lifetime cost, and how much lower will it be?
Hints: If the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the
lifespans. Remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent.
a. Brand U will be $1,051.92 cheaper than Brand V.
b. Brand U will be $976.92 cheaper than Brand V.
C. Brand V will be $75 cheaper than Brand U.
Answer:
Its actually B, (Brand U will be $976.92 cheaper than Brand V).
Step-by-step explanation:
trust
The Pythagorean Theorem Part 2 Quiz
Answer:
Step-by-step explanation:
For example, we have 8, which is not a perfect square
square root of(8)
we divide 8 by prime numbers, until it gets to 1
8/2
4/2
2/2
1
We have divided our number 8 with 2 by 3 times.
Now we pair the numbers.
2 with 2, and the third 2 remains.
the pairs will be in front of the squareroot, and what remains will remain in the squareroot.
squareroot(8) = 2[tex]\sqrt{2}[/tex]
Let's take another number
32
Divide it in prime numbers
32/2
16/2
8/2
4/2
2/2
1
We have 2 pairs of 2 and on remaining 2
We multiply the pairs together, and we get 4 in front of the squareroot.
squareroot(32) = 4[tex]\sqrt{2}[/tex]
Let's take 21
21/7
3/3 (3 is a prime number also 5,7,11,13,17 etc)
1
-This one doesn't have a short answer that could be written.
take 80
80/2
40/2
20/2
10/2
5/5
1
We have 2 pairs of 2 and a 5
squareroot(80) = 4[tex]\sqrt{5}[/tex]
Eight of the students in the class play Sportys eight students make up 25% of the class how many students are in the class
Answer:
32
Step-by-step explanation:
since 8 students are 25% of the class then 25% is also a way of saying 1/4……4/4 would represent the entirety of the class so 8 times 4 is 32 which is the total number of students in the class
Given the point (−,), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces. Example 7,2 or -7,-2
When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and reflected across y-axis then (-x, y) be the point.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph
Reflection is a process of transformation.
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.
Let the coordinates of a point be (4, 3).
When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).
(x, y)---->(x, -y)
The reflection of point (x, y) across the y-axis is (-x, y).
(x, y)---->(-x, y)
(4,3) reflection across the y-axis is (-4, 3).
Hence, the reflection of point (x, y) across the y-axis is (-x, y) and reflection of point (x, y) across the x-axis is (x, -y).
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for a given value of x, the function f will output a value y that satisifies the following equation. 4x-5y=20 write the formula for f(x) in terms of x
According to the given information the formula for f(x) in term of x is f(x) = (4/5)x - 4.
What is a function, exactly?A function is a relationship between a number of inputs and outcomes. Simply described, a function is an association between inputs where each input is linked to exactly one output. There is a range, codomain, as well as domain for every function. A function is commonly referred to as f(x), where x is in fact the input.
How can a math function be identified?When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is indeed a function. Simply drawing a vertical line will reveal if the graph is a function if it touches it once.
4x - 5y = 20
Subtracting 4x from both sides
-5y = -4x + 20
Dividing 5 from the both sides
y = (4/5)x - 4
The formula for f(x) in terms of x is:
f(x) = (4/5)x - 4
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a millworker measures the width of a plank. the width is . what is the width in meters? write your answer as a decimal.
If a mill worker measures the width of a plank and the width of the plank is 15.8 dm, then the width of the plank in meters is 1.58
The width of the plank in decimeter = 15.8 dm
Conversion is the process of the converting the given measurement like length, mass etc, from one unit to another unit
We have to find the width of the plank in meter
We know that,
1 decimeter = 0.1 meter
Convert the given decimeter to meter
15.8 decimeter = 15.8 × 0.1
Multiply the numbers
= 1.58 meters
Therefore, the width of the plank in meter is 1.58
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The given question in incomplete, the complete question is :
A millworker measures the width of a plank. The width is 15.8 dm . what is the width in meters?
solve for angle BD only
Answer: BD = 60.34
Step-by-step explanation:
8x -33 = 2x+37
Take away 2x from both sides ( the 2x will cancel out)
= 6x - 33= 37
Add the 33 to both sides. (The -33 will cancel out)
Now you are left with 6x = 70
Divide both sides by 6.
x = 11.67 (rounded by the hundredth) (11.66666...)
Now to figure out BD your new equation is 2(11.67) + 37
After multiplying you get 23.34 + 37.
BD = 60.34
Hope this helps. This is the way I learned.
Given that axb2x c3x = 2, where a, b, and c are] positive real numbers, then x =
Solve algebraically for y: 4(v-3) ≤ 4(2y + 1)
Answer:
first remove the parentheses on both sides by distributing the multiplication. Then collect all the terms involving
y
on one side (say the left) and the terms without
y
on the right. Finally, divide both sides by the coefficient of
y
. (the number in front of
y
).
It looks like this:
4
(
2
y
−
1
)
=
4
(
y
+
3
)
8
y
−
4
=
4
y
+
12
8
y
−
4
y
=
12
+
4
(subtract
4
y
from both sides and add
4
to both sides)
4
y
=
16
4
y
4
=
16
4
y
=
4
Check your answer.
More thought, looking at the equation:
Instead of distributing the
4
's on both sides, you could start by dividing both sides by
4
(multiplying by
1
4
. This keeps the numbers smaller. It looks like this:
4
(
2
y
−
1
)
=
4
(
y
+
3
)
1
4
[
4
(
2
y
−
1
)
]
=
1
4
[
4
(
y
+
3
]
)
#1/4*4 = [1/4 *4] (y+3)
2
y
−
1
=
y
+
3
2
y
−
y
=
3
+
1
(subtract
y
and add
1
on both sides)
y
=
4
Check your answer.
Answer link
Gió
Mar 25, 2015
First multiply
4
to get rid of the brackets:
8
y
−
4
=
4
y
+
12
Now, isolate the
y
s on one side and numbers on the other of the
=
sign (remembering to change sign in crossing the
=
sign);
8
y
−
4
y
=
+
4
+
12
Notice the change of sign of
4
y
and
−
4
;
now we can add and subtract:
4
y
=
16
The
4
is multiplying the
x
and can go to the right dividing to get:
x
=
16
4
=
4
hope it helps!
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?
Please show how you did it
Answer:
7% sales tax
Step-by-step explanation:
If the pencils cost $6, then the sales tax costs $6.42 - $6 = $0.42. To find the rate, we must divide $0.42 by $6. $0.42/$6 = 0.07. 0.07 is 7%.
What is the answer of Thomas made 8,700 mL8,700 mL8, comma, 700, start text, space, m, L, end text of tomato soup. He packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches. He then froze half of the remaining soup.
How many milliliters of soup did Thomas freeze?..... ml
Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and had firmed 7100 ml of haze.
What's meant by equation?
A fine statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x- 5 = 16, for case. When this equation is answered, we discover that the value of the variable x is 7. The description of an equation in algebra is a fine statement that demonstrates the equivalency of two fine expressions. For case, the two equations 3x 5 and 14, which are separated by the' equal' sign, make up the equation 3x 5 = 14. An equation is a fine expression with two equal sides and an equal sign. 4 6 = 10 is an illustration of an equation.Given that;
He made 8700 ml haze and he packed1.6 liter haze.
1 liter = 1000 milliliters
liter = 1.6 × 1000
litre = 1600 ml
Chancing the firmed haze-
8700 ml- 1600 ml
7100 ml.
Hence
Frozen haze = 7100 milliliters.
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A haiku is a poem with three lines: the first line contains 5 syllables, the second line 7 syllables, and the last line 5 syllables. If each word in each list shown is used at most once, how many different haiku can be made with these words?
2 syllable words:
UNKNOWN
MEASURE
COUNTING
LOGIC
3 syllable words:
ALGEBRA
TRIANGLE
REASONING
There will be 350 different haiku that can be made with the given words.
How to calculate the valueIn this case, there are 5 syllables in the first line, 7 syllables in the second line, and 5 syllables in the last line, so the number of different haiku is given by the number of combinations of 3 elements taken from the set containing 5 elements (for the first and last lines) and 7 elements (for the second line), respectively.
This can be calculated as:
C(5,3) * C(7,3) = 10 * 35
= 350
So, there are 350 different haiku that can be made with the given words.
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A number divided by 14
Answer:
it could be either 1, 2 or 7
Step-by-step explanation:
1×14=14
2×7=14
7×2=14
The area of the trapezoid is 36 ft².
Find the height of the trapezoid.
4 ft
8 ft
Answer:
6ft
Step-by-step explanation:
area of trapezoid formula: 1/2h(a+b)
height=x
x/2(4+8)=36
x/2*12=36
2 and 12 will get cancelled
6x=36
x=36/6
x=6
hope it helped!!!
What is the area of this compound figure?
Answer: 2707
Step-by-step explanation: just multipli
Answer:
186m^2
Step-by-step explanation:
This compound figure will be divided to three rectangular.
1) 18x9=162
2) (18-12)x2=12
3) 2x6=12
so, total is 161+12+12=186^2
Bronze is a mixture of copper and tin. The copper and tin are mixed in the ratio 9:1 by weight.
a. How much copper is there in a bronze brooch weighing 360 g?
b. Another bronze brooch contains 670.5g of copper.
How much does it weigh altogether?
a. The amount of copper in a bronze of 360g is 324g
b. The mass of bronze with 670.5g of copper is 745g
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
The ratio of copper to Tin is 9:1. The total ratio is 10
a.therefore the amount of copper = 9/10 × 360
= 324g
b. The mass of copper = 670.5g
therefore the mass of the bronze =
= 9/10× y = 670.5
9y = 670.5 × 10
9y = 6705
y = 6705/9
y = 745g
therefore the total mass of the bronze is 745g
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Two simultaneous equations are given below, where p and q are constants.
3x-py = 4
4x - 3y + q = 0
The solution to these equations is x = 1, y = 2.
Find the value of p and q.
Answer:
p = -1/2
q = 2
Step-by-step explanation:
Equations are:
3x - py = 4 [1]
4x - 3y + q = 0 [2]
If x = 1 and y = 2, then substituting for these values in each equation will provide a solution for p and q
Plugging x = 1 in Equation [1]:
3(1) - p(2) = 4
→ 3 - 2p = 4
→ -2p = 4 - 3
-2p = 1
-2p/-2 = 1/-2
p = -1/2
For the second equation 4x - 3y + q = 0
x = 1, y = 2
→ 4(1) -3(2) + q = 0
→ 4 - 6 + q = 0
→ -2 + q =0
→ q = 2
3 days is 72 hours in those 72 hours i slept 12. 5% how many hours did i sleep in those three days?
You slept for 9 hours in those three days, calculated by multiplying 12.5% of the total hours (72) by 72, which equals 9.
To calculate the number of hours slept in three days, we first need to determine how many hours there are in three days.
As given, 1 day has 24 hours. So, three days will have 3 x 24 = 72 hours.
Now, we are told that you slept for 12.5% of those 72 hours. To calculate this, we multiply the percentage by the total number of hours:
12.5% x 72 hours = (12.5/100) x 72 = 0.125 x 72 = 9 hours
Therefore, you slept for 9 hours in those three days.
Percentage is a way to express a proportion or ratio as a fraction of 100. The sign "%" is widely used to represent it. For example, if you had 20 apples and you ate 5 of them, you would have consumed 25% of the apples (5 out of 20).
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The values of three consecutive even integers must be if their sum is 6000
If the sum of three successive integers even numbers is 6000, then their values must be 1998, 2000, and 2002.
In addition tangere is the root of the Latin word integer, which meaning "whole" and "untouched." The word "entire" is derived from the French word entier, which also means entire and integer. The expression was once used to describe a multiple of 1 or the whole part of a mixed number. The definition of the term was given as the collection of all positive integers, which is the same as the collection of all natural numbers. The concept of integer was expanded to include negative integers as the significance of those numbers came to be realized through time. For instance, in his 1765 book Elements of Algebra, Leonhard Euler stated that integers might contain both positive and negative values. Up until about the middle of the 20th century, most European mathematicians ignored negative numbers.
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Round 9,909,937 whole number
The rounded number to the nearest thousands place is 9,910,000
What is rounding a number?To change a number into an approximation having fewer significant digits is called rounding a number.
Given that, a number 9,909,937 we are asked to round it,
9,909,937 in words =
nine million nine hundred nine thousand nine hundred thirty-seven
Therefore, to round to the nearest thousand;
You rounded to the nearest thousands place. The 9 in the thousands place rounds up to 10 because the digit to the right in the hundreds place is 9.
Because the thousands place was rounded up from 9 to 10, the thousands place becomes 0 and the ten thousands place is increased by 1. When a 9 is rounded up to 10, that place value becomes 0, and we add 1 to the previous place value.
9,910,000
When the digit to the right is 5 or greater we round away from 0. 9909937 was rounded up and away from zero to 9,910,000
Hence, the rounded number to the nearest thousands place is 9,910,000
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Danny cycled a total of 9 kilometers by making 3 trips to work. After 4 trips to work, how
many kilometers will Danny have cycled in total? Assume the relationship is directly
proportional.
The distance Danny travelled in 4 trips is 12 kilometres.
How to find the distance he travelled?Danny cycled a total of 9 kilometres by making 3 trips to work. After 4 trips to work, the number of kilometres Danny would have cycled in total can be calculated as follows:
Using the proportional relationship,
3 trips = 9 kilometres
4 trips = ?
cross multiply
Distance cycled by Danny = 4 × 9 / 3
Distance cycled by Danny = 36 / 3
Distance cycled by Danny = 12 kilometres
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Please help me by finding the degree measure of angle x
We can say in this triangle by Pythagorean theorem A2 = B2 + C2 => AC = sqrt115 after answering the provided question.
What exactly is a triangle?Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.
Pythagorean theorem applies here, in this triangle
[tex]A^2 = B^2 + C^2[/tex]
[tex]AC = \sqrt{14^2 - 9^2}[/tex]
[tex]AC = \sqrt{196 - 81}[/tex]
[tex]AC = \sqrt{115}[/tex]
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the coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1. what are the coordinates of t?
The coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1.
the coordinates of the point t are (5, 3)
We may utilise the notion of section formula to get the coordinates of point T, which states that if we have two points A(x1, y1) and B(x2, y2) and a point P splitting the line segment AB in the ratio m:n, then the coordinates of point P can be calculated using the following formula:
P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))
In this situation, we have the coordinates of points R and S, as well as the ratio of T divided by RS. So, let's enter the following values into the formula to determine T's coordinates:
Let the coordinates of point T be (x, y), and the ratio of T to RS be 4:1, implying that RT:ST = 4:1. This means that RT = 4/5 (RS length) and ST = 1/5. (length of RS).
RS length =[tex]sqrt((6-1)^2 + (1-11)^2)[/tex] = [tex]sqrt (146)[/tex]
RT=[tex](4/5) * sqrt(146)[/tex] = [tex](4/5) * 12.083[/tex] = 9.666
ST =[tex]1/5* sqrt(146)[/tex] = [tex]1/5* 12.083[/tex] = 2.4166
We get the following using the section formula:
x = (4×6 + 1×1)/(4+1) = 5
y = (4×1 + 1×11)/(4+1) = 3
T = (5, 3)
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