Answer: she will have 36 levels completed
A restaurant sees about 600 orders on Tuesday. This is down from last Tuesday by about 0.85%. How many did they see last Tuesday
Answer:
Number of orders seen on last Tuesday = 605
Step-by-step explanation:
Number of orders seen on Tuesday = 600
It is given that it is 0.85% less than last Tuesday.
Let number of sales on last Tuesday = [tex]x[/tex]
As per question statement:
Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600
OR
i.e. if we subtract 0.85% of x from x, it must be equal to 600.
[tex]x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605[/tex]
So, there were about 605 order seen last Tuesday.
Please answer this correctly
Answer:
20-39 ⇒ 5
40-59 ⇒ 3
60-79 ⇒ 5
80-99 ⇒ 10
Answer:
20-39: 5
40-59: 3
60-79: 5
80-99: 10
Step-by-step explanation:
If you just added up, you can find all the values.
Which best describes her prediction?
Give the equation of the line parallel to a line through (-3, 4) and (-5, -6) that passes through the origin. y = 5x
Answer:
y = 5x
Step-by-step explanation:
First, find the slope of the first equation by doing rise/run
This gets you -10/-2 or 5
A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero
The equation will be y = 5x
A game require rolling a six sided die numbered fro 1 to 6. What is the probability of rolling a 1 or a 2?
Answer:
1/3
Step-by-step explanation:
hello,
probability of 1 = 1/6
probability of 2 = 1/6
probability of 1 or 2 = 1/6+1/6 as probability of 1 and 2 = 0
so the answer is 2/6=1/3
What do you want to find out? > The rate at which Bill puts shringles on a rood. What do you know? > Bill and Chip each finished half of the roof. > Bill needs 7 hours to put the same number of shingles on the roof that Chip does in 4 hours. > For each worker, the time multiplied by the rate equals the number of shringles > Chip's rate is 30 shringles more per hour than Bill's rate. What is Chip's rate in terms of Bill's rate? Let b = Bill's rate. Chip's rate = Bill's rate (b) ( - ) ( 4 ) ( 30 ) ( 7 ) ( + )
Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
__
(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
To solve the system given below using substitution, it is best to start by
solving the second equation for y.
5x + 2y = 33
6y + x = 3
true or false
Answer:
False, it is easier to isolate x.
Step-by-step explanation:
6y+x=3
x=3-6y
Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified?
Answer:
[tex]j^4k[/tex]
Step-by-step explanation:
[tex]3j^4k-2jk^3+jk^3-2j^4k+jk^2\\2j^4k-2j^4k-2jk^3+jk^3+jk^3\\j^4k[/tex]
Answer:
4
Step-by-step explanation:
give me brainliest
s the last book a person in City Upper A read a discrete random variable, continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable.
Answer:
Not a random variable
Step-by-step explanation:
The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.
Thus, the last book read by someone in City A is not a random variable.
Answer:
not random
Step-by-step explanation:
could you help me with this problem
Answer:
For x
We use cosine
cos 45° = 2/x
After solving
x = 2√2
Since we have the value of x we use it to get the value of y
we use cosine
cos 60° = 2√2/y
y =2√2/cos 60
y = 4√2
We use Pythagoras theorem to find z
(4√2)² = (2√2)² + z²
z² = 32 - 8
z² = 24
z = √24
z = 2√6
Therefore x = 2√2
y = 4√2
z = 2√6
Hope this helps.
Can someone please help me?
Answer:
''0 is neither a rational number nor an irrational number.''
Step-by-step explanation:
Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.
The altitude of an equalateral triangle is 6√3 units long what is the length on one side of the triangle a. 12 b. 6 c. (7√3)/2 d. 14√3
Answer:
A. 12
Step-by-step explanation:
If we split an equalateral triangle down, it will become 2 30-60-90 triangles. Remember your 30-60-90 triangle rules.
6√3 = x√3, so x = 6
2(6) (for hypotenuse) = 12
Since the hypotenuse is one side of the bigger triangle, we have our final answer of 12.
A contractor is considering whether he should take on a project that promises a profit of $8800 with a probability of 0.83 or a loss (due to bad weather, strikes, etc.) of $2900 with a probability of 0.17. What is the expected profit for the contractor
Answer: 6811
Step-by-step explanation:
in this problem the values are 8800 and -2900 and the respective probabilities are 0.83 and 0.17
--
so the expected profit o# sum = (x*P(x))=8800*(0.83)+(-2900)*(0.17)=6811
The computer hardware company requires all of its chips purchased from its supplier of computer chips to meet specifications of 1.2 cm with the margins of error of plus and minus 0.1 cm. Based on the computer chip supplied last month, the mean length of a computer chip was 0.9 cm. What are the elements that the production manager should consider in determining his company's ability to produce chips that meet specifications
Answer:
Step-by-step explanation:
The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm
This means that the required length of computer chips is between 1.1cm - 1.3cm
Where 1.1cm = [1.2 - 0.1]
1.3cm = [1.2 + 0.1]
Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.
The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:
- The length of the chips.
The length of the chips his production team produces should be tailored to meet the length specification of his client.
in a bag there are 2 red, 3 yellow, 4 green, 6 blue marbles.
what is the probability of p (blue)?
Answer:
2/5
Step-by-step explanation:
2 red, 3 yellow, 4 green, 6 blue marbles. = 15 marbles
P( blue) = blue / total
=6/15
=2/5
A tree and a flagpole are on the same
horizontal ground A bird on top of the
tree observes the top and bottom of the
flagpole below it at angles of 45° and bo'
respectively. if the tree is 10.65 mhigh,
Calculate Correct to 3
figis
the height of the flagpole
significant
ures
Answer:
The height of the flagpole = 4.50m (3signifiant figures)
Question:
A tree and a flagpole are on the same
horizontal ground. A bird on top of the
tree observes the top and bottom of the flagpole below it at angles of 45° and 60° respectively. If the tree is 10.65 m high, Calculate Correct to 3 significant figures the height of the flagpole.
Step-by-step explanation:
First we have to represent the above information with a diagram to enable us solve the question.
Then label them for easy identification.
To determine the distance between the tree and flagpole, we would apply tangent rule.
Let their distance = x
Tan60 = opposite/adjacent
Tan60 = 10.65/y
Tan60 × y = 10.65
y = 10.65/Tan60
y = 10.65/1.7321
y = 6.15m
See attachment for the concluding part
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?
The question is incomplete. The complete question is as follows.
The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?
Temperature(x) Kilowatts(y)
73 680
78 760
85 910
98 1510
93 1170
83 888
92 923
81 837
76 600
105 1800
Answer: The point estimate is 1132.5 Kilowatts
Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.
To find the linear regression model:
1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;
2) Use these equations to find coefficients a and b:
a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²
b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²
3) Substitute the coefficients into the equation of form: y = a + bx
For the table above, the linear regression equation is:
y = - 2004 + 34.85x
When Temperature is 90, i.e. x = 90:
y = - 2004 + 34.85*90
y = 1132.5
The estimate Kilowatt is 1132.5.
in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classroom how many are wearing shirts other than blue shirts and
Answer:
3
Step-by-step explanation:
Those wearing a shirt of another color are ...
1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8
of the total number of students in the classroom
(1/8)×(24 students) = 3 students . . . . wearing another color
_____
Alternate solution
With the given information, you know ...
(5/8)(24) = 15 . . . students wear blue
(1/4)(24) = 6 . . . . students wear white
24 -15 -6 = 3 . . . students wear another color
Rectangle is 5ft in length and 3 ft in height. What is the area of the rectangle
Answer: 15
Step-by-step explanation:
to find the area multiply the length by height
in this case it’s 5ft and 3ft
5 • 3 = 15
A=15
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between 8: 40 AM and 2: 35 PM on both days? a) 0.2479 Web) 0.0608 om c) 0.2465 d) 0.9385 e) 0.0615 f) None of the above.
Answer:
b) 0.0608
Step-by-step explanation:
As it is mentioned that the next two days i.e 24 hours, the probability of the rain is uniformly distributed
Therefore the rain probability is
[tex]= \frac{T}{24}[/tex]
where,
T = Length of the time interval
Plus, as we know that rain is independent
So let us assume the rain between the 8: 40 AM and 2: 35 PM on single day is P1 and the time interval is 5 hours 55 minutes
i.e
= 5.91666 hours long.
So, P1 should be
[tex]= \frac{5.91666}{24}[/tex]
= 0.2465
Now we assume the probability of rain on day 2 is P2
So it would be same i.e 0.2465
Since these events are independent
So, the total probability is
[tex]= 0.2465 \times 0.2465[/tex]
= 0.0608
Hence, the b option is correct
Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 centimeters. Use the Table B.3 Areas under the Normal Curve (page 519 of the textbook) to find the indicated quantities: a) The percentage of heights less than 150 centimeters b) The percentage of heights between 160 centimeters and 180 centimeters
Answer:
a) 6.68% of heights less than 150 centimeters
b) 58.65% of heights between 160 centimeters and 180 centimeters
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 162, \sigma = 8[/tex]
a) The percentage of heights less than 150 centimeters
We have to find the pvalue of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 162}{8}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
6.68% of heights less than 150 centimeters
b) The percentage of heights between 160 centimeters and 180 centimeters
We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.
X = 180
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 162}{8}[/tex]
[tex]Z = 2.25[/tex]
[tex]Z = 2.25[/tex] has a pvalue of 0.9878
X = 160
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 162}{8}[/tex]
[tex]Z = -0.25[/tex]
[tex]Z = -0.25[/tex] has a pvalue of 0.4013
0.9878 - 0.4013 = 0.5865
58.65% of heights between 160 centimeters and 180 centimeters
an oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. assuming independence, what is that probability that the third strike comes on the seventh well drilled
Answer:
4.92% probability that the third strike comes on the seventh well drilled
Step-by-step explanation:
For each drill, there are only two possible outcomes. Either it is a strike, or it is not. Each drill is independent of other drills. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% chance of striking oil.
This means that [tex]p = 0.2[/tex]
What is that probability that the third strike comes on the seventh well drilled
2 stikers during the first 6 drills(P(X = 2) when n = 6)[/tex]
Strike during the 7th drill, with 0.2 probability. So
[tex]P = 0.2P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{6,2}.(0.2)^{2}.(0.8)^{4} = 0.2458[/tex]
Then
[tex]P = 0.2P(X = 2) = 0.2*0.2458 = 0.0492[/tex]
4.92% probability that the third strike comes on the seventh well drilled
what is between 1/3 and 7/8 answer
Answer:
The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
The numbers are 2 and 8.
Solution,
Let the numbers be X and 4x
[tex] \frac{1}{x} + \frac{1}{4x} = \frac{5}{8} \\ or \: \frac{1 \times 4 + 1}{4x} = \frac{5}{8} \\ or \: \frac{4 + 1}{4x} = \frac{5}{8} \\ or \: \frac{5}{4x} = \frac{5}{8} \\ or \: 5 \times 4x = 5 \times 8(cross \: multiplication) \\ or \: 20x = 40 \\ or \: x = \frac{40}{20} \\ x = 2 \\ again \\ 4x \\ = 4 \times x \\ = 4 \times 2 \\ = 8[/tex]
hope this helps...
Good luck on your assignment..
For each ordered pair, determine whether it is a solution to x=-3.
Answer: no, no, no, yes
Step-by-step explanation:
x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.
Answer:
no no no yes
Step-by-step explanation:
i think
A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic feet. The cost of wall paint is $0.08 per square foot and the cost of ceiling paint is $0.14 per square foot. Find the room dimensions that result in a minimum cost for the paint.
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
[tex]V=x^2y=875[/tex]
With this equation we can define y in function of x as:
[tex]x^2y=875\\\\y=\dfrac{875}{x^2}[/tex]
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
[tex]A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}[/tex]
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
[tex]A_c=x^2[/tex]
We can express the total cost of painting as:
[tex]C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2[/tex]
To calculate the minimum cost, we derive this function C and equal to zero:
[tex]\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10[/tex]
The sides of the room have to be x=10 feet.
The height can be calculated as:
[tex]y=875/x^2=875/(10^2)=875/100=8.75[/tex]
The room will have sides of 10 feet and a height of 8.75 feet.
A box containing 15 DVDs is selling for $156.00. The box contains some
DVDs worth $11.00 each and some DVDs worth $9.00 each. Which system of
equations can be used to determine x, the number of $11.00 DVDs, and y, the
number of $9.00 DVDs?
Answer:
Step-by-step explanation:
x + y = 15
11x + 9y = 156
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that the final vote count is unanimous?
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so [tex]p = 0.5[/tex]
15 members:
This means that [tex]n = 15[/tex]
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
[tex]p = P(X = 0) + P(X = 15)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003[/tex]
[tex]P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003[/tex]
So
[tex]p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006[/tex]
0.006% probability that the final vote count is unanimous.
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 3% of the actual value? [Hint: proportion est. = 0.5] Round your answer to whole number
Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
Step-by-step explanation:
For this case we have the following info given:
[tex] ME=0.03[/tex] the margin of error desired
[tex]Conf= 0.95[/tex] the level of confidence given
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
the critical value for 95% of confidence is [tex] z=1.96[/tex]
We can use as estimator for the population of interest [tex]\hat p=0.5[/tex]. And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
What is the slope of the line represented by the equation y = 4/5x - 3?
in
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{4}{5} \ \ \ }[/tex]
Step-by-step explanation:
when the equation is like y = ax + b
the slope is a
in this case we have
[tex]y \ = \ \dfrac{4}{5}x\ \ - \ 3[/tex]
so the slope is
[tex]\dfrac{4}{5}[/tex]