Answer: -91/30
Step-by-step explanation: if you were to write this fraction in simplest form it would be -91/30
Answer:
-3 1/30
Step-by-step explanation:
1. Find GCF of 273 and 90
90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90273: 1, 3, 7, 13, 21, 39, 91, 2732. Divide numerator and denominator by 3.
\(\frac{-273/3}{90/3}\) \(\frac{-91}{30}\) \(-3 \frac{1}{30}\)The average height of women in the United states Is 65.5 Inches with a standard deviation of 2.5. Find the probability that a woman randomly selected will be 60 inches or less.
The probability that a randomly selected woman will be 60 inches or less is approximately 0.0139, or 1.39%.
To find the probability that a randomly selected woman will be 60 inches or less, we need to calculate the area under the normal distribution curve up to the value of 60 inches. We can do this by standardizing the value using the z-score formula and then looking up the corresponding probability from a standard normal distribution table or using a calculator.
First, we calculate the z-score:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
z = (60 - 65.5) / 2.5 = -2.2
Next, we find the probability associated with the z-score using the standard normal distribution table or calculator. From the table or calculator, we find that the probability of having a z-score less than -2.2 is approximately 0.0139.
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Susan swims a race in 29 7/10 seconds.patty swims at the race in 33 1/5 seconds. How much faster was Susan than patty
Answer: 3.5
Step-by-step explanation: 33.20-29.7
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she dropped 62 feet. How many feet had she been below sea level, if she was 157. 9 feet below sea level after she dropped?
She was initially at a depth of 90.9 feet before she dropped.
We have,
A scientist was in a submarine below sea level, studying ocean life.
And, Over the next ten minutes, she dropped 62 feet.
To get her initial depth, we need to understand how many feet she sank and dropped.
Let us say she was initially at a depth which we can call = x feet.
After 10 minutes she dropped for 62 feet.
This means her new depth will be x - (- 62) = (x + 62) ft.
We are also told that this new depth is actually 157.9 feet below sea level.
This means
x + 62 = 157.9
Now that we have this equation we can simply make x the subject of the formula and solve for x
x = 157.9 - 67
x = 90.9
Thus, She was initially at a depth of 90.9 feet before she dropped.
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Olivia picked 482 apples from the orchard’s largest apple tree. She divided
the apples evenly into 4 baskets. How many apples are in each basket? How
many are left over? pls make the solution detailed! :)
There are 120 apples in each basket and 2 leftovers
How to determine the number of apples in each basket?From the question, the given parameters are:
Number of apples = 482
Number of baskets = 4
the number of apples in each basket is calculated as
Apples in each basket = Number of apples/Number of baskets
Substitute the known values in the above equation
So, we have the following equation
Apples in each basket = 482/4
Evaluate
Apples in each basket = 120.5
Remove the decimal
Apples in each basket = 120
The number of leftoverIn (a), we have
Apples in each basket = 120.5
The decimal part is
Decimal = 0.5
The number of leftover is then calculated as
Leftover = Decimal * Baskets
So, we have
Leftover = 0.5 * 4
Evaluate
Leftover = 2
Hence, there are 2 leftovers
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A farmer sells 8.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
Weight of apples = 1.72 kg
Step-by-step explanation:
Given:
Total mass of sale = 8.6 kg
Pears weight = 4/5 of total weight
Find:
Weight of apples
Computation:
Weight of apples = [1 - 4/5]Total mass of sale
Weight of apples = [1/5]8.6
Weight of apples = 1.72 kg
use heron's formula to find the area of the triangle with side lengths 11, 15, and 19, as shown below.
Answer:
82.41 square units-------------------
Heron's formula states that the area of a triangle with side lengths a, b, and c is:
\(A= \sqrt{s(s-a)(s-b)(s-c)}\), where s = (a + b + c)/2 s is the semi-perimeter of the triangle.We have a triangle with side lengths:
a = 11, b = 15, and c = 19.We can first find the semi-perimeter:
s = (a + b + c)/2 s = (11 + 15 + 19)/2 s = 22.5Then we can plug this into Heron's formula to find the area:
\(A=\sqrt{22.5(22.5-11)(22.5-15)(22.5-19)} =\sqrt{6792.1875} =82.41\ rounded\)So the area of the triangle is approximately 82.41 square units.
A story reported results of a voluntary respons study stru online dating The study used online responses of 13.792 pple Of those who responded four swe man and about free fourths had at leat a bachelor's degas One reported
finding was that 29% of men go online intending to cheat identify the persis study are from
a. Sampling tas due to underg
b. Samping is due to the sampling design
c. Response bias
The persistent study is identified from response bias.
So, the correct answer is C.
About the persistent studyA story reported results of a voluntary respons study stru online dating The study used online responses of 13.792 pple. Of those who responded four swe man and about free fourths had at least a bachelor's degree.
One reported finding was that 29% of men go online intending to cheat.The study has several potential sources of bias. The use of self-reported online surveys implies that people who do not have access to the internet or who are reluctant to take online surveys are excluded from the study.
This is a potential source of bias known as non-response bias. People who are more interested in online dating are more likely to participate in the survey. This is a potential source of bias known as self-selection bias.
There are several potential sources of bias in online dating studies. Response bias is one of them. Response bias happens when people are unwilling or unable to provide accurate information. In online dating research, response bias can occur when people misrepresent themselves or give false information.
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a collection of nickels, dimes, and quarters consist of 70 coins with a total of $ 8.00 . if there are 2 times as many dimes as quarters, find the number of each type of coins.
The number of each type of coins are as follows:
q = 15 quarters.
d = 30 dimes.
n = 25 nickels.
How to determine the number of each type of coins?In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.
Let q represent number of quarters.
Let n represent number of nickels.
Let T represent total number of coins.
Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.
Translating the word problem into an algebraic equation, we have;
Dimes; d = 2q .....equation 1.
Nickels; (70 - (q + 2q)) = (70 - 3q) .....equation 2.
Total coins; T = n + d + q
0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00
Multiplying all through by 100, we have:
5(70 - 3q) + 2q(10) + q(25) = 800
350 - 15q + 20q + 25q = 800
350 + 30q = 800
30q = 800 - 350
30q = 450
q = 450/30
q = 15 quarters.
For the number of dimes, we have:
Dimes, d = 2q
Dimes, d = 2(15)
Dimes, d = 30 dimes.
For the number of nickels, we have:
Nickels, n = (70 - 3q)
Nickels, n = (70 - 3(15))
Nickels, n = (70 - 45)
Nickels, n = 25 nickels.
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Adult tickets to the fall play cost 6 and student tickets cost 3 . The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected 660 from ticket sales, how many student tickets were sold?
Let x be the total number of student tickets sold.
Then, x - 25 is the number of adult tickets sold.
660 = 3x + 6(x - 25)
660 = 3x + 6x - 150
9x = 810
x = 90
Thus, 90 student tickets were sold.
Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.
Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is
.
The relative frequency of landing on caterpillar is
.
The relative frequency of landing on chrysalis is
.
The relative frequency of landing on adult is
.
All the outcomes
be considered equally likely.
Answer:
0.20, 0.24, 0.30, 0.26
Step-by-step explanation:
Hope this helps <3
Answer:
I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.
Step-by-step explanation:
Need help plz I need to pass this.
Answer:
Subtract 10 from both sides
Step-by-step explanation:
Answer:
Subtract 10 from both sides (D)
Step-by-step explanation:
This is the answer because x+10=30 you have to turn the +10 to a negative ten and subtract it to the 30
Hope this helps:)
Pls mark brainlist
There is a special at the store: $34 for 7 roses. Harry is trying to figure out if it's a good deal. Help Harry figure out the unit price (round to 2 decimal places)
A. $0.49 per rose
B. $4.86 per rose
C. 4.86 roses per dollar
D. 0.49 roses per dollar
please reply
Answer: B
Step-by-step explanation:
Per rose price = \(\frac{34}{7}\)
= 4.86
Harry would be paying $4.86 per rose.
Jonas is doing a science experiment with his class. The teacher has 21 fluid ounces of pound water too share equally with 10 pairs of students. How much pond water will jonas and his science partner receive ? What is the answer as fraction and decimal?
Answer:
2.1 and 21/10
Step-by-step explanation:
A rectangle is 10 feet long and 3 feet wide. Find its area
Answer:
30 ft²
Step-by-step explanation:
The formula to find the area of a rectangle is:
Length x Width
Each student in Ms. Clark's class is decorating a shirt for a school program.
There are 25 students in the class. Ms. Clark already has 3 shirts. She will buy shirts In packages of 6 shirts. She cannot buy part of a package.
A. Create an inequality using only the given numbers to represent this situation, where p represents the number of packages of shirts.
B. What is the minimum number of whole packages of shirts that Ms. Clark needs to buy?
Answer:
(25-3)>6p
Step-by-step explanation:
break down the information (do the math)
3+6p≥25 is the inequality to represent this situation, where p represents the number of packages of shirts and The minimum number of whole packages of shirts that Ms. Clark needs to buy are 4.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Each student in Ms. Clark's class is decorating a shirt for a school program
The number of students in the Clarks class are 25.
Ms. Clark already has 3 shirts. She will buy shirts In packages of 6 shirts. She cannot buy part of a package.
we need to Create an inequality using only the given numbers to represent this situation, where p represents the number of packages of shirts.
3+6p≥25 is the required inequality.
Now the minimum number of whole packages of shirts that Ms. Clark needs to buy.
6p≥25-3
6p≥22
Divide both sides by 6
p=3.66=4
The minimum number of whole packages of shirts that Ms. Clark needs to buy are 4.
Hence, 3+6p≥25 is the inequality to represent this situation, where p represents the number of packages of shirts and The minimum number of whole packages of shirts that Ms. Clark needs to buy are 4.
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Could someone help me, please?
Answer:
∠ACD≅∠CAB
Alternate interior angles are congruent if lines are parallel
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to the given expression?
PLEASE HELP!!
Answer:
A. 5x^2+12x-7
-2 + 7= 5
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
I think it's like 0.88, but I believe that's it rounded up.
help pretty pls its the last question for today
Answer:
terms - 4
variables - x,y
coefficients - 5,2,3
constants - 1/2
A 2-column table with 4 rows titled Drama Club Revenue. Column 1 has entries a percent, a percent, a percent, a percent. Column 2 has entries b dollars, b dollars, b dollars, b dollars.
A drama club made $3,200 from a school play. Seventy-five percent of that amount came from ticket sales. Identify the values of the variables in the model. Then use the model to find the amount of ticket sales.
a =
b =
The amount of ticket sales is $
.
Answer:
A: 25
B: 800
C: 2,400
Step-by-step explanation:
Hopes this helps. :) ( Unless you have already solved ) Just have a good day.
Answer:
A: 25
B: 800
C: 2,400
Step-by-step explanation:
the life of light bulbs is distributed normally. the standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 530 hours. find the probability of a bulb lasting for between 557 and 561 hours. round your answer to four decimal places.
The probability of a bulb lasting for between 557 and 561 hours is roughly 0.0382 or 3.82%
Able to utilize the standard ordinary dissemination to discover the likelihood of a bulb enduring for between 557 and 561 hours. To do this, we ought to standardize the values utilizing the equation:
z = (x - μ) / σ
where x is the bulb lifetime we're fascinated by
, μ is the cruel(mean) lifetime,
and σ is the standard deviation.
For 557 hours:
z1 = (557 - 530) / 15 = 1.8
For 561 hours:
z2 = (561 - 530) / 15 = 2.07
Employing a standard ordinary conveyance table or a calculator with a typical dissemination work, we are able to discover the probabilities corresponding to these z-scores:
P(z1 < Z < z2) = P(1.8 < Z < 2.07)
This speaks to the likelihood of a bulb enduring between 557 and 561 hours, where Z could be a standard ordinary variable.
Employing a standard ordinary dispersion table or a calculator, we discover:
P(1.8 < Z < 2.07) ≈ 0.0382
Therefore, the likelihood of a bulb enduring for between 557 and 561 hours is roughly 0.0382 or 3.82% (adjusted to four decimal places).
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Which trigonometric ratio is correct?
1 point
125 cm
105 cm
d
Sin(d) = 105/125
Cos(d) = 105/125
Tan(d) = 105/125
Option 4
Tan(d)=105/125 is trigonometric ratio corect
4x2+(5x−7x2)+8−(4x+2)?
Answer:
Step-by-step explanation:
I work through my mind, so I can’t really give this explanation with a good or with words I don’t know what x means
by definition, x ⊥⊥y iff f(x,y) = f(x) ·f(y) for all (x,y). is the following true or false. if f(x,y) = f(x) ·f(y) for all (x,y) such that f(x,y) > 0, then x ⊥⊥y .
The statement, if function, (x,y) = f(x) ·f(y) for all (x,y) such that f(x,y) > 0, then x ⊥⊥y is true.
By definition, two random variables x and y are said to be independent (denoted as x ⊥⊥ y) if the joint probability distribution function f(x, y) can be expressed as the product of the marginal probability distribution functions f(x) and f(y) for all values of x and y.
In this case, if we have f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, it implies that the joint probability distribution function can be factorized into the product of the marginal probability distribution functions. Therefore, x and y are independent, and we can conclude that x ⊥⊥ y.
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I need help on the last two finding the function notation
For the second before last f(f), you have to replace x with the function f(x).
For the last one you have to replace x with the function g(x)
\(g(x)=2x^2+1\)\(\begin{gathered} f(g)=3(2x^2+1)+5 \\ f(g)=(3\cdot2x^2)+(3\cdot1)+5 \\ f(g)=6x^2+3+1 \\ f(g)=6x^2+4 \end{gathered}\)The diagram shows the distance
between three towns.
12 miles
Ashton
Lees
Oldham
Brian drives from Ashton to Lees and
then to Oldham.
He drives from Ashton to Lees at
an average speed of 40 mph.
He drives from Lees to Oldham at
an average speed of 30 mph.
Work out Brian's average speed for
the whole journey from Ashton to
Oldham.
Thus, Brian's average speed for the whole journey from Ashton to Oldham is 34.29 mph.
What is average?Average, also known as mean, is a measure of central tendency in statistics that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of values in the set. For example, if you want to
Given by the question.
To calculate the average speed of Brian's whole journey, we need to use the formula:
average speed = total distance ÷ total time
We know the distance between Ashton and Lees is 12 miles, and we also know the speed at which Brian drove this part of the journey: 40 mph. Using the formula:
time taken = distance ÷ speed
we can calculate that it took Brian:
time taken from Ashton to Lees = 12 miles ÷ 40 mph = 0.3 hours
We also know the distance between Lees and Oldham is 12 miles, and the speed at which Brian drove this part of the journey: 30 mph. Again using the formula:
time taken from Lees to Oldham = 12 miles ÷ 30 mph = 0.4 hours
So, the total distance Brian covered from Ashton to Oldham is:
total distance = distance from Ashton to Lees + distance from Lees to Oldham
total distance = 12 miles + 12 miles = 24 miles
The total time Brian spent on the journey is:
total time = time taken from Ashton to Lees + time taken from Lees to Oldham
total time = 0.3 hours + 0.4 hours = 0.7 hours
Now we can use the formula for average speed:
average speed = total distance ÷ total time
average speed = 24 miles ÷ 0.7 hours
average speed = 34.29 mph
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what is the median of the following numbers? 6,4,1,9,3,8,3,5,10
comenzando desdes el principio, una persona camina 6km al este durante el primer dia y km al este el dia siguente. ¿ cual es el desplazamiento neto de la persona desde el punto de partida en dos dias
A) 6km, oeste
B) 3km, este
C) 10km,este
D) 5km,oeste
E) 9k., este
ayuda porca cual de esta es
Answer:
Yanga ka jhcgjvvhjjio ddd....
If José's present age is 3 n, how old will he be in 5 years?
Answer:
3n+5
Step-by-step explanation:
you don’t know the official age, all you know is that his age is 3 times whatever number
Let A be a matrix with linearly independent columns. Which one of these statements must be true?A. The equation Ax=b never has a solution for all b.B. The equation Ax=b always has a solution for all b.C. The equation Ax=b has a solution for all b precisely when it has more columns than rows.D. There is no easy way to tell if Ax=b has a solution for all b.E. The equation Ax=b has a solution for all b precisely when it has more rows than columns.F. The equation Ax=b has a solution for all b precisely when it is a square matrix.G. none of the above
The correct statement is B. For all b, the equation Ax=b has a solution.
Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.
Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.
Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.
Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.
Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.
Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.
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