Reasoning Practice
w
w
w
w
20
3
W
Х
Х
24
w
Х
Х
Y у
25
w
Х
Y у
Z
30
The sum of each row is given. Find w, x, y and z.
5
Step-by-step explanation:
Each workbook is 3/8in thick. How many inches thick is a stack of 5 workbooks
Answer:
15/8 or 1 7/8
Step-by-step explanation:
Multiply the numerator by the number of workbooks (5)
You get 15/8.
Simplify
The length of 5 workbooks is 7 1/8 inch.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Thickness of workbook = 3/8 inch
Total workbooks = 5
So, the thickness of 5 workbooks
=5* 3/8
=15/8
=7 1/8 inch
Hence, the thickness of 5 workbooks is 7 1/8 inch.
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If it snows on a given day, the probability that it snows the next day is 7/10 If it does not snow on a given day, the probability that it snows the next day is 2/10 It is snowing today. By first drawing a tree diagram, work out the probability that it will snow on exactly one of the next two days. Give your answer as a fraction in its simplest form
Answer: 27/100
Step-by-step explanation:
Please help me with this question
Answer:
1/10x + -4
Step-by-step explanation:
did it on think central
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Find x if angle 1 = 2x+10 and angle 2 = 3x-6
Between which two integers does - 1 3/4 lie?
A) -2 and -1
B) -1 and 0
C) 0 and 1
D) 1 and 2
|3t - 5| = 2t
Solve with absolute value
Answer:
you did it
Step-by-step explanation:
i wrote all down for u
Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?
The range of the function is {1,-1,10} for function f(x)=2x³−3x .
What is a function?A relation is a function if it has only One y-value for each x-value.
In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.
The given function is f(x)=2x³−3x
The domain is {-1,1,2}
Now f(-1)=2(-1)³-3(-1)
=-2+3=1
f(1)=2(1)³-3(1)=2-3=-1
f(2)=2(2)³-3(2)=16-6=10
Hence, the range of the function is {1,-1,10} for f(x)=2x³−3x .
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20 Per Question, Algebra 2, Thanks :)
The answer to the expression is (x+3)/(x-1)
What is a quadratic expression?You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0
The given expressions are
(x² - 3x - 18) / (x²- 7x +6
(x²-6x +3x +19) / (x²-x -6x +6)
This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}
⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]
This means that [(x+3)(x-6)] / [(x-6)(x-1)]
Dividing by (x-6) to have
Therefore the value of the expression is (x+3)/(x-1)
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how do you write 37 divided 3 distributive porperty
Answer:
37 divided by 3 = 12.333333333.....
You can’t write it in distributive property, that only applies to multiplication.
Step-by-step explanation:
You are going to exercise at the indoor track. your friend is going to exercise at the pool. what is the first step in determining where you should park to minimize the distance you both will walk?
Answer: middle.
Step-by-step explanation: closest to each side.
If Suzannah’s budget limit is $10 per month, how many text messages can she
send in one month?
Answer:
10
Step-by-step explanation:
A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. a. What is the volume of the scoop of ice cream? Show all your work. b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.
Please help me
Answer:
a. 462
b. 49
Step-by-step explanation:
take pie as 22/7
a. volume= π r² h/3
22/7 × 3² × h/3
22/7 × 3 × h
22/7×3
cross multiply
462
b. h= 3 × v/π r²
3 × 462 over 22/7 × 3²
multiply each term by 7
7×3×7×462over22/7×3²
21×462over22×3²
21/1×462/198
= 9702/198
= 49
How many square inches are in a square mile?
Answer: 4.014e+9 square inches
Find all the zeros of the function: f(x) = x^2 - 2x - 3
Answer:
x= 3 and -1
Step-by-step explanation:
\(f(x) = {x}^{2} - 2x - 3\)
add three to both sides
\(3 = {x}^{2} - 2x\)
figure out what half of -2 is
half of -2 is (-1) than square that (-1)^2=1
the 1 is what you add to both sides
\(3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} \)
than take the square root of both sides
\( \sqrt{4} = \sqrt{ {(x - 1)}^{2} } \)
this than equals
+2=x-1
than to find the x values
2=x-1
+1 +1
3=x
-2=x-1
+1 +1
-1=x
Tap A can fill 4 pails in 55 seconds.
Tap B can fill 3 pails in 50 seconds.
If both taps are turned on at the same time, and assuming that the rate of water flow from both taps is the same, how long will it take for 16 such pails to be filled?
Give your answer in minutes and seconds, to the nearest second.
Answer:
Below in bold.
Step-by-step explanation:
Work in times to fill 1 pail:-
tap A takes 55/4 seconds
tap B takes 50/3 seconds
Let time to fill one pail be x when filling together, then:
3/50 + 4/55 = 1/x
165x + 200x = 55*50
x = 2750 /(365) = 7.5342 seconds
To fill 16 pails it takes 7.5342* 16
= 120.55 seconds
= 2 minutes 1 second to the nearest second..
Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.
There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.
What connection exists between the mean and the standard deviation?First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:
The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.
What is the standard deviation and mean formula?The mean is calculated as follows:
Mean = (all data values added together) / (number of data values)
However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.
The standard deviation equation is as follows:
Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":
No of the size of the data collection, the mean rises by precisely K.
No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.
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What is 612 divided by 6
Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).
What is the slope of Anya’s line?
The slope of Anya’s line is equal to 3.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Making y the subject of formula, we have the following:
y - 2 = 3(x - 1)
y = 3x - 3 + 2
y = 3x - 1
Therefore, the slope (m) is equal to 3.
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If 4x + 12 = 76, then x =
Answer:
x = 16
Step-by-step explanation:
subtract 12 from both sides to isolate the variable and its coefficient
4x = 64
divide both sides by 4 to get x
x = 16
Answer:
x = 16
Step-by-step explanation:
4x+12=76
Step 1: Subtract 12 from both sides.
4x + 12 - 12 = 76 - 12
4x = 64
Step 2: Divide both sides by 4.
\(\frac{4x}{4} = \frac{64}{4}\)
x = 16
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 26 bag sample had a mean of 413 grams with a standard deviation of 24. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
The p-value is approximately 0.0508
Step-by-step explanation:
The given parameters are;
The expected mass of banana chips bag filled by the machine, μ = 421 gams
The number of bags in the sample of bags filled by the machine, n = 26 bags
The mean mass of the bags in the sample, \(\overline x\) = 413 grams
The standard deviation of the mass in the bags, s = 24 grams
The level of significance, α = 0.02
The null hypothesis, H₀; μ = 421 grams
The alternative hypothesis, Hₐ; μ < 421 grams
The test statistic is given as follows;
\(t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}\)
We get;
\(t=\dfrac{413-421 }{\dfrac{24}{\sqrt{26}}} \approx -1.6996731712\)
The t-value = -1.6996731712
The degrees of freedom df = n - 1 = 26 - 1 = 25
From an online source, we get the critical-t = 2.166587
The p-value is obtained using an online source as p(t ≤ -1.6996731712) = 0.0508
From the p-value table, we get
0.05 < p < 0.1
Solve the equation using the Properties of Equality.
79 + 3 = 45
Step 1 out of 4:
7a + 3 - [ ] = 45- [ ]
Answer:
7a + 3 -3 =45 - 3
7a + 0 = 42
7a = 42
7a/7 = 42/7
a = 6
What is 0.4 as a decimal
Answer: 0.40 and 40%
Answer:
40%
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-9x=-6
Answer: y=3x-2
Step-by-step explanation:
3y-9x=-6
First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.
Answer:
This equation in slope intercept form would be y = 3x - 2
Step-by-step explanation:
The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3
So the answer is y = 3x - 2
please help i just need to get this done.
The equation of the line in slope-point form, slope-intercept form, and standard form are y = -100x + 1250, y - 1250 = -100(x-0) and 100x + y = 1250 respectively
How to write the equation of a line in point-slope form?
The equation of a line in point-slope form is given as y − y 1 = m ( x − x 1),
where ( x 1, y1 ) is the point given and m is the slope
m = y2-y1 / x2-x1, where x1 = 0, y1 = 1,250 and x2 = 5, y2 = 750
m = 750-1250 / 5-0
m = -500/5 = -100
Thus, the slope-point form:
y − y 1 = m ( x − x 1 )
y - 1250 = -100(x-0)
The equation of a line in slope-intercept form is given as y = mx+c,
where (x, y) is the point given, m is the slope and c is the y-intercept
where x1 = 0, y1 = 1,250 and m = -100
y = mx + c
1250 = -100(0) + c
c = 1250
Thus, the equation in slope-intercept form is:
y = -100x + 1250
The equation of a line in standard form is given as ax + by = c, where a, b, c are real numbers
Rewrite y = -100x + 1250. Thus, the equation in standard form is:
100x + y = 1250
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2+2+3+8+3+8+6+4+0+8+4
Answer:
58
Step-by-step explanation: