3h = 7 ( 2/7 - 3/7h ) -10 what does the variable equal
The ratio of the number of Mimi’s Eminem CD’s to the number of Rita’s Eminem CD’s is 5:8. Rita has 18 more Eminem CD’s than Mimi. If Rita gives 22 CD’s to Mimi, what will be the new ratio of the number of Mimi’s Eminem CD’s to Rita’s?
What is the quotient of 59,584 ÷ 14?
A. 4,156
B. 4,256
C. 5,156
D. 5,256
Answer:
B
Step-by-step explanation:
We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.
We can also perform long division:
__4256_____
14 | 59, 584
-56____
35
-28____
78
-70____
84
-84____
0
A researcher wants to know if the average time in jail for robbery has increased from what it was when the average sentence was 7 years. he obtains data on 400 more-recent robberies and finds an average time served of 7.5 years. find a 95% confidence interval for the average time served (assume jail time follows a normal distribution with standard deviation 3 years).
At 95% confidence interval, the z score is 1.96. Using the formula:
Confidence Interval = x ± z s / sqrt (n)
where x is the average time served, s is standard deviation and n is number of samples
Confidence interval = 7.5 ± (1.96 * 3) / sqrt (400)
Confidence interval = 7.5 ± 0.294
Confidence interval = 7.206 to 7.794
The expression 0.00222 x 10^n is greater than 2 (and n is an integer). what is the smallest possible value for n
Help plz 6r – 12 = 6
Polygons QRST and Q’R’S’T’ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6. What set of transformations is performed on QRST to form Q’R’S’T’? A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
The transformation performed on QRST to form Q'R'S'T' is a 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.
Explanation:The transformation of the polygon QRST to Q’R’S’T’ involves a series of steps. To determine these steps, we look at the movement of each vertex from the original polygon to the new. The coordinates of Q change from (3, -5) in QRST to (-5, -4) in Q'R'S'T'. This signifies a 180-degree clockwise rotation about the origin followed by a translation. Given the options, the answer is ‘A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.’
Let's walk through how this works: The rotation leaves us with points Q at (-3, 5), R at (-2, 1), S at (-5, 0) and T at (-5, 4). The translation of 1 unit to left then changes these coordinates to Q' at (-4, 5), R' at (-3, 1), S' at (-6, 0), and T' at (-6, 4), hence matching the given coordinates of Q'R'S'T'.
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Using the sample statistics, construct a 9999% confidence interval estimate of the mean body temperature of all healthy humans. do the confidence interval limits contain 98.6degrees°f? what does the sample suggest about the use of 98.6degrees°f as the mean body temperature?
Sal brought $7.50 to the fair and Karma brought $8.75 to the fair. Which expression shows the total amount they brought?
A) $8.75 - $7.50 = $16.25
B) $8.75 + $7.50 = $15.25
C) $8.75 - $7.50 = $1.25
D) $8.75 + $7.50 = $16.25
Answer:
The answer to the question is a
Ellen garcia earns $23.68 an hour as an assistant aircraft mechanic at a local airport. she must work _____ hours a week to earn $850 a week. (enter only the number and round to the nearest whole hour.)
divide the amount she wants to make ( 850) by her hourly pay (23.68)
850 / 23.68 = 35.895
rounded to the nearest whole hour is 36 hours
A magazine has 96 pages. there are advertisements on 75% of those pages. how many pages do not have advertisements?
There are 24 pages in the magazine that do not have advertisements.
To find the number of pages without advertisements in a 96-page magazine, we first calculate the number of pages with advertisements.
Calculate 75% of 96 (since 75% of the pages have advertisements).
[tex]\( 75\% \times 96 = 0.75 \times 96 = 72 \)[/tex] pages with advertisements.
Subtract the pages with advertisements from the total number of pages to find the pages without advertisements.
[tex]\( 96 - 72 = 24 \)[/tex] pages without advertisements.
So, there are 24 pages in the magazine that do not have advertisements.
Need both answers please
Solve the equation.
-5x + 2 = 67
A) x = 13
Eliminate
B) x = -13
C) x =
69
5
D) x = -
69
5
What expression can only give you an amount that is possible
In a cafeteria, there are the same number of 3-legged stools as there are of 4-legged chairs. If stools have 120 fewer legs than chairs, how many people can sit in this cafeteria?
The cafeteria can seat 120 people.
Let's denote the number of 3-legged stools as S and the number of 4-legged chairs as C. According to the problem, there are the same number of stools and chairs, so we have:
S = C
Next, we are told that the stools have 120 fewer legs than the chairs. Since each stool has 3 legs and each chair has 4 legs, we can set up the following equation:
3S + 120 = 4C
Since S = C, we can substitute C for S in the equation:
3C + 120 = 4C
Now, let's solve for C:
120 = 4C - 3C
120 = C
Now that we know there are 120 chairs, and since the number of stools is the same as the number of chairs, there are also 120 stools. Each chair can seat one person, and each stool can also seat one person, so the total number of people that can be seated is the sum of the number of chairs and stools:
Total seating = C + S
Total seating = 120 + 120
Total seating = 240
However, since there are only 120 chairs and 120 stools, and we cannot have half a piece of furniture, the maximum number of people that can be seated is the number of chairs or stools, which is:
Total seating = 120
Therefore, the cafeteria can seat 120 people.
The independent variable of a data set is s, while the dependent variable is t. Which of these is an explanatory variable?
A. s
B. t
C. Both s and t
D. neither s and t
Answer: S
Step-by-step explanation:
On Ap
Does a negative exponent result in a negative answer
James has 24 shirts, 18 pairs of pants , and 16 pairs of shoes in his closet, but one oc the shirts is his favorite. How many combinations of shirt, pants and shoes are possible assuming james wears his favorite shirt
multiply number of pants and number of shoes
18 * 16 = 288 combinations
in an isosceles triangle there are two sided, called legs, that are the same length. the 3rd side is the base. if an isosceles triangle has a perimeter 345 cm and the base length 85 cm. what is the length of each leg
Answer:130
Step-by-step explanation:
Find the Least Common Multiple of these two monomials:
9a^2bc^3 and 30ab^2c^3
9a^2b^2c^3
3ab^3
90ab^3
90a^2b^2c^3
the LCM for 9 and 30 is 90
LCM for a = a^2 and ab^2 = a^2
LCM for b = bc^3 and abb^2 =b^2
LCM for c = bc^3 and c^3 = C63
so answer is 90a^2b^2c^3
−3.1+(−0.35)
Write your answer as a decimal.
The answer in decimal to the expression −3.1+(−0.35) is - 3.45.
What is decimal?A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.
Given:
The expression: - 3.1 + (-0.35)
Use the sign convention given below to solve the above expression,
[tex]+ + - =[/tex] sign of the larger number,
[tex]-+- = -[/tex]
[tex]+\times - = -[/tex]
Here when the bracket opens use the second sign convention,
- 3.1 - 0.35 = - 3.45
Therefore, the answer in decimal to the expression −3.1+(−0.35) is - 3.45.
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Suppose you have already been waiting for one hour for a taxi. what is the probability that one arrives within the next 10 minutes?
The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,
P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1
= 0.3679
The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679
Beatrice's house is assessed at $102,000 and her property tax rate is 3.6%. How much are her annual property taxes?
Answer:
The annual property taxes is $3672 .
Step-by-step explanation:
As given in the question
Beatrice's house is assessed at $102,000 and her property tax rate is 3.6%.
3.6% is written in the decimal form
[tex]= \frac{3.6}{100}[/tex]
= 0.036
Property tax price = 0.036 × $102000
= $3672
Therefore the annual property taxes is $3672 .
Amaya's test scores in Algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 80-89 inclusive. Write a compound inequality to represent the situation
The compound inequality expression expressing the required score to obtain a B grade is 80 ≤ (169 + t) ≤ 89
Test scores :
78 and 91Range of B - grade:
80 - 89Let the her score in the last test = t
Final average score will be :
(78 + 91 + t) / 3 = (169+t) / 3To obtain a B grade :
80 ≤ Final average score Final average score ≤ 89The compound inequality expression can be expressed thus :
80 ≤ Final average score ≤ 89Therefore, the compound inequality expression is 80 ≤ (169 + t) ≤ 89
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Write an expression to find the difference in the maximum area and minimum area of a nys high school soccer field. Then evaluate the expression.
Max length 100yards
Max length 120 yards
Minimum width 55 yards
Maximum width 80 yards
The difference between the maximum and minimum area of the soccer field is found by calculating the maximum and minimum area using the given dimensions, and then subtracting the minimum area from the maximum area. Result is 4100 square yards.
Explanation:First, the area of a rectangle (like a soccer field) can be found with the formula Area = Length x Width. To find the difference between the maximum area and the minimum area of the field, we'll need to do two calculations.
For the maximum area, we'll use the maximum length of 120 yards and the maximum width of 80 yards: Max Area = 120 yards x 80 yards = 9600 square yards.
For the minimum area, we'll use the minimum length of 100 yards and the minimum width of 55 yards: Min Area = 100 yards x 55 yards = 5500 square yards.
Now you subtract the minimum area from the maximum area: 9600 square yards - 5500 square yards = 4100 square yards. This is the difference in area between the smallest and largest possible soccer fields.
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What is 6b/24b to the second in simplest form?
A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. When will the station first give away all three prizes to one caller? PLEASE HELP. Show your work !!
We want to find the lowest common multiple of 3 numbers.
We will see that the 300th caller will get the 3 prizes.
Ok, we know that:
each 15th caller gets $15.each 25th caller gets $25.each 100th caller gets free concert tickets.We want to see the first time that the 3 prizes will be given at the same time (at the same caller).
This will happen for the lowest common multiple of 15, 25 and 100
Now, to find the lowest common multiple we can use brute force, this is, writing all the multiples of the 3 numbers and watching which one is the first to appear in the 3 lists, but here we can do another thing.
One of the numbers is 100, so its multiples are:
100, 200, 300.
And we know that with 25 we can make all of these numbers:
25*4 = 100
25*8 = 200
25*12 = 300
So all the multiples of 100 are also multiples of 25.
Then we just need to find the first common multiple between 100 and 15.
To get this, we can decompose both numbers as a product of primes:
15 = 3*5
100 = 10*10 = 2*5*2*5
Now we multiply these, but if there is some factor that appears in both numbers we remove it (only from one).
For example, here we can see that the factor 5 appears in both numbers, so we need to remove one of the fives in the product.
We will get:
(3*5)*(2*5*2) = 300
So the lowest common multiple is 300.
This means that the 300th caller will get the 3 prizes.
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Sanjay rides his bike to work 15 kilometers in two days. He works five days per week. How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?
Sanjay needs to ride his bike for 3 weeks to cover a distance of
150 kilometers.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Sanjay rides his bike to work 15 kilometers in two days.
∴ In one day he rides (15/2) = 7.5 kilometers.
So, to ride his bike for 150 kilometers he needs (150/7.5) = 20 days.
We know 1 week is 7 days.
∴ Sanjay needs (20/7) = 2.86 weeks, but weeks comes in integers and we'll choose 3 weeks as in 2 weeks he won't be able to cover a distance of 150 kilometers.
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To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4
Lester worked 12 hours last week at the grocery store and earned $93.00. if he continues to earn the same hourly pay, how many additional hours must he work to earn another$62.00?lester worked 12 hours last week at the grocery store and earned $93.00. if he continues to earn the same hourly pay, how many additional hours must he work to earn another$62.00?