Answer:x= 2,-2
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
Let set the equation up: \(2^{x}\)+4=8 First we need to isoolate x so let subtract 4 from both sides.
2^{x}=4Then take the sqr root of 4. \(\sqrt{4}\)= 2 x=2Which inequality represents “six times a number is less than negative thirty-nine and three-quarters”?
6x > –39Three-fourths
6 + x > -39 Three-fourths
6x < -39Three-fourths
6 x less-than-or-equal-to negative 39 and three-fourths
Answer:
6x<-39+¾
Step-by-step explanation:
let the number be represented by x.
Answer: The third option is correct.
Step-by-step explanation: 6x means "six times a number", which the unknown number is x. The less-than sign shows the "less than" part of the equation, and -39 3/4 represents the "negative thirty-nine and three-quarters". Hope this helps, also i got it right on edge.
Who is your favorite y-o-u-t-u-b-e-r
Answer:
dream
Step-by-step explanation:
why not
Answer:
Mine is 5 minute crafts
I love crafts, so ya. They are pretty popular
please give me brainiest :) !
1 ½ - 6/10 =
HELP PLS
Answer:
0.9
Step-by-step explanation:
1 1/2 = 1.5
6/10 = 0.6
1.5 - 0.6 = 0.9
QUICK 100 Points, What is the standard portion cost for a 1-ounce portion of parmesan cheese purchased a pound for $14.60 per pound? (There are 16 ounces in a pound.)
$0.53
$0.68
$0.91
$1.02
Answer:
$0.91
Step-by-step explanation:
Given:
1 pound = 16 ounces$14.60 = 1 lb Parmesan cheeseIf one pound of Parmesan cheese costs $14.60, to find the cost of a one-ounce portion, simply divide the cost of one pound by 16:
\(\implies \textsf{1 ounce portion}=\dfrac{\$14.60}{16}=\$0.9125=\$0.91\;\sf (nearest \; cent)\)
Therefore, the standard portion cost for a one-ounce portion of Parmesan cheese is $0.91 (nearest cent).
What is the production matrix?
Answer:
\(\left[\begin{array}{ccc}3\\3.8\end{array}\right]\)
Step-by-step explanation:
Here we want to compute the product of two matrices, one 2x2, and other 2x1.
\(\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right]\)
Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:
\(\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right]\)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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Select the correct equation for the following sentence: Twenty-four is the same as 31.4 times a number plus negative 8.4. 31.4n + 8.4 = 24 –8.4n + 31.4 = 24 24 = 31.4n + (–8.4) 24 – 31.4 = –8.4n
Answer:
24 = 31.4n + (-8.4) is the correct equation.
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. 1 2 4 5 6 7 P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03 a. What is the missing value in the table? b. Find the mean. c. Find the variance and standard deviation. d. Interpret your results. B. In a quality control analysis, the random variable X represents the number of defective products per each batch of 100 products produced Defects (x) Batches 2 87 3 5 95 113 64 13 a. Use the frequency distribution above to construct a probability distribution? b. Find the mean. c. Find the variance and standard deviation.
a. The missing value in the table 0.03
b. The mean is 4.18
c. The variance is 3.23 and standard deviation is 1.80
d. The larger the standard deviation, the greater the spread of the probability distribution.
A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.
a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.
b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:
E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)
E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18
So, the mean number of calls per hour to the call center in the last month is 4.18.
c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:
Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)
Var(X) = 3.23
The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:
=> SD(X) = √(Var(X)) = √(3.23) = 1.80
d. Interpretation:
The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.
The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.
This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).
Complete Question:
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.
x 1 2 4 5 6 7
P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03
a. What is the missing value in the table?
b. Find the mean.
c. Find the variance and standard deviation.
d. Interpret your results.
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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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PLEASE HELP!!!
100 POINTS+ BRAINLYEST
Question:
The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 1/6 inches.
What was the total change in the water level over the two years?
Answer:
-2 1/3+ -11/6 = 4.1666666666666 repeating
Step-by-step explanation:
brainlest plz
Answer:
\( - 4 \frac{1}{6} \)
Step-by-step explanation:
To find the total change you gotta add the 2 results throughout the 2 years together so...
\( - 2 \frac{1}{3} + \frac{ - 11}{6} \)
and if we work this out we'll get
\( - 4 \frac{1}{6} \)which is the total change in the water level over the past 2 years
hope this helped- have a good day bro cya)
Andy has $300. He wants to buy a game controller for $50 and some games that sell for $60. Write and solve an inequality for the maximum number of games Andy can buy.
Answer:
300 ≥ 60x + 50
Step-by-step explanation:
Answer:
He can buy 4 games
Step-by-step explanation: 60 times 4 equals 240 plus 50 equals 290 and you cannot buy another game with 10 dollars
A box contains 17 transistors, 3 of which are defective. 3 If are selected at random, find the probability of the statements below. a. All are defective b. None are defective
A.The probability that all transistors selected are defective is 27/4913
B. The probability of that non will be defective is 2744/4913
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
probability = sample space/total possible outcome
total possible outcome here is 17
number of defective transistors is 3
therefore the probability to pick a defective transistors is 3/17
if 3 transistors are selected, the probability to pick 3 defective transistors is 3/17×3/17×3/17=27/4913
the probability to pick non-defective transistor is (17-3)/17= 14/17
if 3 transistors are selected, the probability to pick 3 non-defective transistors is 14/17×14/17×14/17=2744/4913
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what is 2 1/6 + 4 3/6 as a fraction
Answer:
6 2/3
Step-by-step explanation:
2 1/6 + 4 3/6
6 4/6
6 2/3
There are four rational numbers which are listed smallest to largest, A, B, C, and D. If the numbers are 5/3 7/15 6/10 and 25/5 , identify which is A, which is B, which is C, and which is D. brainly
The rational numbers are given as follows:
A = 7/15.B = 6/10.C = 5/3.D = 25/5.How to order the rational numbers?To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.
The conversion of each number is given as follows:
5/3 = 1.67.7/15 = 0.47.6/10 = 0.6.25/5 = 5.Hence they are ordered as follows:
7/15, 6/10, 5/3, 25/5.
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Do I have the right answer help ?
Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
is the 8282838383+28838338×2897-207727÷4=91827451637.3 am I correct or not?
The expression is
8282838383+28838338×2897-207727÷4
By applying the bodmas rule,
First division and then multiplicaton ,
\(8282838383+83544665186-51931.75=91827503569-51931.75\)\(91827451637.3\)Hence the answer is 91827451637.3.
A small lawnmower company produced 1,500 lawnmowers in 2008. In an effort to determine how maintenance-free these units were, the company decided to conduct a multiyear study of the 2008 lawnmowers. A sample of 200 owners of these lawnmowers was drawn randomly from company records and contacted. The owners were given an 800 number and asked to call the company when the first major repair was required for the lawnmowers. Owners who no longer used the lawnmower to cut their grass were disqualified. After many years, 183 of the owners had reported. The other 17 disqualified themselves. The average number of years until the first major repair was 3.3 for the 183 owners reporting. It is believed that the population standard deviation was 1.47 years. If the company wants to advertise an average number of years of repair-free lawn mowing for this lawnmower, what is the point estimate? Construct a 95% confidence interval for the average number of years until the first major repair.
Answer:
The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
Step-by-step explanation:
The (1 - α)% confidence interval for the average using the finite correction factor is:
\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}\)
The information provided is:
\(N=1500\\n=183\\\sigma=1.47\\\bar x=3.3\)
The critical value of z for 95% confidence level is,
z = 1.96
Compute the 95% confidence interval for the average number of years until the first major repair as follows:
\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}\)
\(=3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)\)
Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).
What is the product?
3.[ 1 -4 5 -7]
a. [3 -12 15 -21]
b. [4 -1 8 -4]
c. [3 12 15 21]
d. [4 -12 8 -21]
Answer:
(a) [3 -12 15 -21]
Step-by-step explanation:
Given;
3.[ 1 -4 5 -7]
The product of the function is calculated as;
3.[ 1 -4 5 -7] = [1 x 3 -4x3 5x3 -7x3]
= [3 -12 15 -21]
Therefore the correct option is "a" [3 -12 15 -21]
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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Grade 5 18 is 15% what number
Answer:
120
Step-by-step explanation:
18 = .15x Divide both sides by .15 (15% as a decimal is .15)
\(\frac{18}{.15}\) = \(\frac{.15x}{.15\\}\)
120 = x
A group of employees were asked whether they drive or walk to work.
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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What is the value of n 8n-5=139
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answer:
605
Step-by-step explanation:
11x55=605
consider the following method, which is intended to return the product of 3 and the nonnegative difference between its two int parameters.
Answer: the answer is try hard and if you don’t succeed try try again
Step-by-step explanation:
One spring day, Fabian noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 54° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 4 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Fabian's data.
Solution
For this case we have the following:
6am T= 54ºF
6am-12m T rose 1ºF per hour
12am-5pm T rose 3ºF per hour
5-6pm T constant
6-10pm dropped 3ºF per hour
Temperature at midnight= 62ºF
sebastioan swam laps every day in the community swimming pool. he swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1,800 laps. What was his average rate in laps per hour?
The solution is : Sebastian swam 40laps in one hour in average.
Here, we have,
Sebastian swam 45minutes per day.
If she swam 5days a week, this is equivalent to Sebastian swimming 60days in 12weeks.
If Sebastian swam 45minutes in a day, she must have swam for (45×60)minutes in 60days which is equivalent to 2700minutes
Converting 2700minutes to hours;
60minutes = 1hour
2700minutes = x
x = 2700/60
x = 45hours
Since sebastian swam 1800laps in that 12weeks in 45hours, her average rate lap per hour can be calculated thus;
1800laps = 45hours
X laps = 1hour
30 × X = 1800
X = 1800/45
X = 40laps
This shows that Sebastian swam 40laps in one hour in average.
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Use the graph to solve the equation x2 - 2x - 8 = 0.
Answer:
Graph.
y = x^ 2 − 2 x − 8
y = 0
HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°