Answer:
67.5
Step-by-step explanation:
you turn your fraction into a decimal and to find the decimal you take the number and put it out of 100 such as 1/2 is 50/100 therefore meaning you get .50
67 1/2 in fraction form is 135/2 .
Given,
67 1/2 in mixed fraction .
Now to convert mixed fraction to simple fraction follow the following steps,
Multiply the whole number and denominator of the fraction . After that add numerator part to the result of multiplication . Fraction will be formed by keeping the denominator same,
Thus the resultant will be,
67*2 = 134
134 + 1 = 135
Hence the fraction part is :
135/2.
Know more about fractions,
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Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
Triangle XYZ has coordinates:X (-5,-2)Y (-7,-6)Z(-3,-6). If thetriangle rotates 90° clockwise, what are the coordinates of Y’?
Answer:
(-6, 7)
Step-by-step explanation:
identify the slope of the line for the equation 1/6 x + 1/4
Answer:
y = 1/6x - 8/3
Step-by-step explanation:
The equation of a line in slope-intercept form is.
y = mx + b
where m represents the slope and b, the y-intercept.
Rearrange y + 2 = 1/6 (x - 4) into this form
distribute bracket and simplify.
y + 2 = 1/6x - 2/3
⇒ y = 1/6x - 2/3 - 2
⇒ y = 1/6x - 8/3 ← in slope-intercept form
Find |x| when x = – 15.
HELP ME PLEASEE
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
Helppppp please !!!!!
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
-15
-5=
help with this one?
Answer:
The answer is 3.
Step-by-step explanation:
If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.
So, -15/-5 = 3.
But, if it were -15/5 = ?
Then it would be -3, because there is only one negative, therefore it cannot cancel out.
Hope this helps! :)
evaluate 15x+9 when x=−1
Answer:
-6
Step-by-step explanation:
just substitute -1 for x
15(-1)+9 = -15+9 = -6
Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour. If the recipe made 7 equal-sized loaves of bread, how many cups of whole-wheat flour did each loaf contain?
Answer:
1/8 of a cup
Step-by-step explanation:
The total amount of flour used in the recipe was 7/8 of a cup.
The recipe made 7 loaves. Each loaf has 1/7 of the total amount of flour.
1/7 * 7/8 = 1/8
Answer: 1/8 of a cup
Answer:
1/8
Step-by-step explanation:
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
(8.59 × 104) – (3.2 × 103)
Answer:
563.76
here ya go
Answer:
563.76
Step-by-step explanation:
(8.59 x 104) - (3.2 x 103)
893.36 - 329.6
=563.76
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost
Answer:
$6
Step-by-step explanation:
Each pack is $3
So therefore if you multiply 2($3) it is $6 for two packs
You have a sandbox that can only fit no more than 30 cubic feet of sand. At the store, each bag only contains 2.5 cubic feet of sand.
Write and solve an inequality that represents the number of bags b you need to buy.
Answer:
2.56≥30
b≥12
Step-by-step explanation:
The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?
Answer:
210
Step-by-step explanation:
According to this question, y varies directly with x. Mathematically, This means that:
y =kx
Where k is the constant variable
If y=30 and x=0.75, then k will be;
k = y/x
k = 30/0.75
k = 40
Since k = 40,
y = 40x
Therefore, when x=5.25, the value of y will be:
y = 40x
y = 40 × 5.25
y = 210.
Write an equivalent expression to the following: 1/2 (-6x + 8) – 7
Answer:
-3x -3
If this is not the answer you are looking for plz let me know!!!
Answer:
-6x+8=14
Step-by-step explanation:
1/2*(-6x+8)-7 |+7
1/2*(-6x+8)=7 | ÷1/2
-6x+8=14
You mean sth like this?
{3x^2-4x-1} - {5-2x+x^2 help
6²[tex]x[/tex]−10
Step-by-step explanation:
wow-
I need help please and thank you
Answer:
F=3x+2/2x
Step-by-step explanation:
After leaving the runway, a plane's angle of ascent is 17º and its speed is 280 feet per second. How
many minutes will it take for the airplane to climb to a height of 11,000 feet? Round your answer
to two decimal places.
Answer:
45
Step-by-step explanation:
A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8. Another salesperson says the ratio in simplest form is 5/24. Which ratio is correct? What error leads to the incorrect ratio?
Answer:
The ratio that is correct is 5/24.
The error that leads to the incorrect ratio is working with the different units of length.
Step-by-step explanation:
Here is the complete question:
A covered bridge is 8 yards long. In a painting for sale at a gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8 Another salesperson says the ratio in simplest form is 5/24 Which ratio is correct? What error leads to the incorrect ratio?
Step-by-step explanation:
From the question,
A covered bridge is 8 yards long and in a painting at the gallery, the bridge is 5 feet long.
To determine the ratio of the length of the bridge in the painting to the actual length of the bridge,
First, we will convert both lengths to the same unit and then divide the length of the bridge in the painting by the actual length of the bridge.
Convert 8 yards to feet
1 yard = 3 feet
∴ 8 yards = (8 × 3) feet = 24 feet
The actual length of the bridge is 24 feet
The length of the bridge in the painting is 5 feet
Hence, the ratio of the length of the bridge in the painting to the actual length of the bridge is 5 feet ÷ 24 feet = 5/24
Hence, the ratio that is correct is 5/24.
The error that leads to the incorrect ratio is working with the different units of length (that is, not converting both length to the same unit before determining the ratio).
Order these from least to greatest: .25, 3/8, 7/12, 5/16, .5
how long is 10% of a 24 hour day?
Answer: 2.4
hope this helps
Step-by-step explanation:
2.4 x 10=24
Answer:
0.1 days
calculated to 2.4 hours is 0.1 days hope this helps can I get brainliest
Step-by-step explanation:
Stephen collected data from a travel website. The data included a hotel's distance from Times Square in
Manhattan and the cost of a room for one weekend night in August. A table containing these data appears below.
0
1
1
3
4
7.
19
Distance From
Times Square
(city blocks) (x)
Cost of a Room
(dollars) (y)
293 263
244
224
185
170
219
153
136
111
Stephen calculated the linear regression equation to be y = -7.8x + 246.3. Using this equation, find the cost of a
room 5 city blocks away from Time Square.
1) $195
2) $207
3) $238
4) $285
What’s the answer?
Answer:
$207
Step-by-step explanation:
Given the following :
Data:
X : Distance From Times Square (city blocks)
Y: Cost of a Room (dollars) (y)
The linear regression model generated for the data :
y = -7.8x + 246.3
y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept
Using the model:
The cost of a Room 5 block away :
x = 5
y = -7.8(5) + 246.3
y = - 39 + 246.3
y = $207.3
Round the number 1258 into significant figures
Answer:
1 sig fig = 1
2 sig fig = 13
3 sig = 126
4 sig fig 1258
Step-by-step explanation:
I think that's what you're asking but I'm not sure
Lucia has 18 muffins she splits them evenly among b boxes write an expression that shows how many muffins that are in each box
Your expression would be 18÷b=
6 : 4 is equivalent to
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c:
Solve for x: 1 over 3 (2x − 8) = 4.
2
6
10
Answer:
the answer is x= 10
Step-by-step explanation:
what is the answer for the picture that is linked below?
Answer:
18%
Step-by-step explanation:
6840:38000*100 =
(6840*100):38000 =
684000:38000 = 18
please help fast and expalin.
Answer: 10,000
Step-by-step explanation:Hope this helps!
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in the set?
Answer:
131
Step-by-step explanation:
Given that:
Median of a consecutive odd integers = 138
Greatest integer In dataset = 145
Least integer in dataset =
Since the integers are consecutive ;
Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7
Hence, 7 integers before the median value should give us the least integer value ;
138 - 7 = 131
CHECK:
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145
Median = (n+1)/2 th term
Median = (15+1)/2 = 8th term = 138
Highest = 145
Least = 131
Answer:
131
Explanation:
It was in a Mathcounts competition