Answer:
im pretty sure its 64 if not im so sorry
Which correctly applies the distributive property?
Answer:
The last one.
Step-by-step explanation:
2(x + 3)
= 2*x + 2*3
= 2x + 6.
Write and expression for the calculation add 9 to the product of 4 and 5
Answer:
5×4+9
Step-by-step explanation:
The product of something means to multiply, so you would multiply 5 and 4 together.
Then you would add 9 to that.
If a worker can make 24 widgets in 40 minutes, how long will it take to make 60 widgets?
Answer:
1 hour and 40 minutes
Step-by-step explanation:
60/24 = 2.5
40 x 2.5 = 100 minutes
100 minutes = 1 hour and 40 minutes.
Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.
i am highly sorry but there is no graph for me to help you with on this site :(
but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)
Jim is looking at the roof of a new house from the front. He notices that the roof is
triangular in shape with a base 13.6 m. The left side is 8.0 m long and makes an angle of 70 degrees with the base of the roof. If this is the only known information, determine the angle the right side of the roof makes with the base of the roof to the nearest degree. Be sure to first make a sketch.
The angle that the right side of the roof makes with the base of the roof to the nearest degree is 32 degrees.
What is the angle the right side of the roof makes with the base of the roof ?We know that a triangle is a three sided figure. The question shows us that the left side of the triangular roof is 8.0 m long and makes an angle of 70 degrees with the base of the roof. This base has a length of 13.6 m.
We can now make use of the cosine rule;
b^2 = a^2 + c^2 - 2ac cos B
a = 13.6
b = ?
c = 8
B = 70 degrees
Now;
b = √(13.6)^2 + (8)^2 - 2(13.6 * 8) cos 70
b = √184.96 + 64 - 2(108.8) * 0.3420
b = √184.96 + 64 - 44.42
b = 14.3
By the use of the sine rule;
b/sinB = c/sinC
14.3/sin70 = 8/sinC
14.3 * sinC = 8 * sin70
sinC = 8 * sin70/14.3
C = 32 degrees
The angle that the right side of the roof makes with the base of the roof to the nearest degree is 32 degrees.
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Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.
Answer:
y-intercept : 3
x-intercepts are 1 and 2
Vertex is at (2,-1)
Axis of symmetry is at x = 2
Step-by-step explanation:
See attached graph.
The equation y = x² – 4x + 3 represents a parabola
y-intercept at is at B(0,3); y-intercept is 3
x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3
The vertex is the lowest point on this parabola (2-1)
Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2
What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
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Which table shows exponential decay?
please respond soon!
Answer:
second one!
Step-by-step explanation:
If a car travels 33.6 miles in 0.75 hours, then what distance does the car cover in an hour?
Answer:
44.8 miles
Step-by-step explanation:
We can use ratios to solve
33.6 miles x miles
-------------- = --------------
.75 hours 1 hours
Using cross products
33.6 * 1 = .75x
Divide each side by .75
33.6 / .75 =x
44.8 miles
Describe the type of line the slope represents. (2,5) and (-1.5)
Answer:
horizontal line
Step-by-step explanation:
The y- coordinates of both points are 5
This indicates the line is horizontal and parallel to the x- axis with equation
y = 5
Jasmine left school and traveled toward the dump at an average speed of 40 km/h. Anjali left two hours later and traveled in the opposite direction with an average speed of 60 km/h. How long does Anjali need to travel before they are 380 km apart?
Anjali needs to travel for 3.5 hours before she and Jasmine are 380 km apart.
Let's break down the problem step by step. Jasmine traveled towards the dump at an average speed of 40 km/h. Anjali left two hours later,
so Jasmine had a head start of 40 km/h * 2 hours = 80 km.
Since Jasmine and Anjali are traveling in opposite directions,
their combined speed is 40 km/h + 60 km/h = 100 km/h.
To find the time it takes for them to be 380 km apart, we divide the distance by their combined speed: 380 km / 100 km/h = 3.8 hours.
However, we need to account for the head start Jasmine had.
Anjali needs to catch up to Jasmine's initial 80 km before they start moving apart.
Anjali's speed is 60 km/h, so the time it takes for her to catch up is 80 km / 60 km/h = 1.33 hours.
Adding the time it takes to catch up to the time it takes for them to be 380 km apart
we get 1.33 hours + 3.8 hours = 5.13 hours. Rounded to the nearest half hour, Anjali needs to travel for approximately 3.5 hours before they are 380 km apart.
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023) You are the owner of a AT&T store that
has two employees working at all times.
The first employee scheduled to work next
Wednesday makes $10.50 per hour and
averages $50 per day for commision. The
other person that is scheduled earns
$10.50 per hour and averages $60 per day
for commision.
i) Write a function that predicts your
expected payroll for the day.
+12
ii) Next Wednesday the store is going to
be open for 5 hours. How much do you
expect to pay your employees?
(i) The function that predicts your expected payroll for the day is,
For first person; y = $50 + $10.50x
For second person; y = $60 + $10.50x
Where, y is total amount and x is number of working hours.
(ii) In Wednesday; The amount expect to pay your employees is,
For first person;
⇒ y = $102.50
For second person;
⇒ y = $112.50
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The first employee scheduled to work next Wednesday makes $10.50 per hour and averages $50 per day for commission.
And, The other person that is scheduled earns $10.50 per hour and averages $60 per day for commission.
Let total amount earn = y
And, Number of working hours = x
Hence, We can formulate;
The function that predicts your expected payroll for the day is,
For first person;
⇒ y = $50 + $10.50x
For second person;
⇒ y = $60 + $10.50x
And, For 5 hours, the amount is,
For first person;
⇒ y = $50 + $10.50x
⇒ y = 50 + 10.50 × 5
⇒ y = 50 + 52.50
⇒ y = $102.50
For second person;
⇒ y = $60 + $10.50x
⇒ y = 60 + 10.50 × 5
⇒ y = 60 + 52.50
⇒ y = $112.50
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I NEED HELP WITH THESE RNNNN!!!!!!!
Answer:
Step-by-step explanation:
A painter charges 25$ per hour plus 50$ to paint a house. The painter painted a house for less than 725$. Which inequality can be used to determine all the possible numbers of hours (x) it took the painter to paint the house?
A-25x +50 <725
B-25x + 50 >725
C-50x + 25 <725
D-50x + 25 >725
Answer:
B
Step-by-step explanation:
suppose that you and a friend are playing cards and decide to make a bet. if your friend draws two non-face cards, where a face card is a jack, a queen, or a king, in succession from a standard deck of 52 cards replacing the first card, you give him $30 . otherwise, he pays you $50 . what is the expected value of your bet? round your answer to the nearest cent, if necessary.
The expected value of your bet is $10.58 (rounded to the nearest cent).
Let's break this down:
There are 52 cards in a standard deck, and 12 of them are face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card on any given draw is 12/52 or 3/13. When the first card is drawn, there will be 51 cards left in the deck, 11 of which are face cards.
Therefore, the probability of drawing a non-face card on the second draw is 40/51.
The probability of both events happening (drawing two non-face cards in succession) is the product of their individual probabilities:
37/52 × 40/51 ≈ 0.5646.
The probability of the opposite event (drawing at least one face card) is therefore 1 − 0.5646 ≈ 0.4354.
If your friend draws two non-face cards in succession, you pay him $30.
The expected value of that outcome is −$16.94 (the probability of the event multiplied by the amount you pay:
0.5646 × −$30).
If your friend doesn't draw two non-face cards in succession, he pays you $50.
The expected value of that outcome is $21.77 (the probability of the event multiplied by the amount you receive: 0.4354 × $50).
The expected value of the entire bet is the sum of these two expected values: −$16.94 + $21.77 = $4.83. Therefore, your expected profit is $4.83 per bet. Since you're making one bet, your expected value is $4.83. However, this answer isn't quite correct because it doesn't account for the initial $50 you pay to enter the bet. Therefore, you need to subtract that $50 from the expected value to get the net expected value of the bet:
$4.83 − $50 = −$45.17.
This means that, on average, you lose $45.17 per bet. However, the question asks for the expected value of your bet, not the expected value of your profit or loss.
To get the expected value of the bet, you need to add back in the initial $50 that you paid to enter the bet. Therefore, the expected value of your bet is −$45.17 + $50 = $4.83 (rounded to the nearest cent).
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Solve the inequality -4 + 6 < -14
Answer:
2 < -14
Step-by-step explanation:
I hope this helps!
help me plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Vertical angles : 8 and 10
Linear pair : 9 and 10
Adjacent angles : 7 and 10
What is f(x)=8x in standard form?
Answer: standard form f(x)=8x
Step-by- step explanation:
True or False:With a sample size of 100 and a p of .5, the sampling distribution of the sample proportion will approximate a normal distribution.The formula for the test statistic for a one-sample significance test of a population proportion is p-PThe standard error of the sample proportion and the standard deviation of the sample proportion are usually the same.When doing significance tests for two proportions we can pool our estimates to compute the standard error because the null hypothesis assumes the two sample proportions are equal.One can never prove the truth of a statistical (null) hypothesis. One can only tend to discount it.A proportion is a special case of a mean when you have a dichotomous population.The margin of error describes a possible random sampling error that occurs within truly random samples.The margin of error is a calculation that describes the error introduced into a study when the sample isn't truly random.
True. With a sample size of 100 and a p of .5, the sampling distribution of the sample proportion will approximate a normal distribution.
This is because of the central limit theorem, which states that with a sufficiently large sample size, the sampling distribution of the sample proportion will approach a normal distribution regardless of the shape of the population distribution.
The central limit theorem is an important concept in statistics that allows us to make inferences about population parameters based on sample statistics. It states that with a large enough sample size, the sampling distribution of the sample mean or proportion will approximate a normal distribution, even if the underlying population distribution is not normal. In this case, with a sample size of 100 and a p of .5, we have a sufficiently large sample size to apply the central limit theorem and approximate a normal distribution. Conclusion: In conclusion, the statement that the sampling distribution of the sample proportion will approximate a normal distribution with a sample size of 100 and a p of .5 is true. The central limit theorem is a powerful tool that allows us to make inferences about population parameters with confidence, even if the underlying population distribution is not known.
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Solve. 3w-4z=8 solve. 2w+3z=-6
a)w=-3 b) w=0 c) w=4 d) w=-2
z=0 z=-2 z=1 z=0
The equations are solved to w = 0 and z = -2. Option B
How to determine the valueFrom the information given, we have the simultaneous equations as
3w-4z=8
2w+3z=-6
Make w the subject from equation 1
w = 8 + 4z/3
Substitute the value into equation 2, we have that;
2(8 + 4z/3) + 3z = -6
expand the bracket, we get;
16 + 8z/3 + 3z = -6
find the LCM, we have;
16 + 8z + 9z/3 = -6
cross multiply
16 + 17z = - 18
add the values
19z = -34
Make 'z' the subject
z =-2
Substitute the value
3w - 4z = 8
3w = 8 - 8
w = 0
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Alex knits hats and scarves to sell at a craft market. He can make at most 20 hats and 30 scarves, but no more than 40 items altogether, in time for the market.
Write and graph a system of inequalities that shows the possible numbers of hats and scarves Alex can bring to the craft market if he wants to bring at least 25 items. Identify three (3) possible combinations, and say which he should
choose.
The three (3) possible combinations are
hats = 10, scarves = 30hats = 10, scarves = 20hats = 20, scarves = 20Alex should 20 hats and 20 scarves
How to find the possible combinations Alex can bring to the marketLet the number of scarves be x and y be the number of hats
He can make at most 20 hats and 30 scarves, but no more than 40 items altogether
x ≤ 20
y ≤ 30
x + y ≤ 40 (in time of market)
x + y ≥ 25
The possible combinations are
1 ⇒ x = 10, y = 302 ⇒ x = 10, y = 203 ⇒ x = 20, y = 20He should choose the third option x = 20, y = 20 this allows him to take more products to the show
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Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
\(x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89\)
x = -0.89
Step-by-step explanation:
when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.
How I solved it: (just another way to solve this)
9.10-8.20=0.89
since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.
at present 1 euro can be bought RS 110 of nepali money is devalued by 10% then what is the cost of 50 euro
Answer:
RS 4950
Step-by-step explanation:
50×110= 5500
10% of 5500= 550
5500-550= 4950
Maya and her husband are each starting a saving plan. Maya will initially set aside $650 and then add $135
every month to the savings. The amount A (in dollars) saved this way is given by the function A = 135N+ 650,
where N is the number of months she has been saving.
Her husband will not set an initial amount aside but will add $385 to the savings every month. The amount B
(in dollars) saved using this plan is given by the function B=385N.
Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.
Simplify your answer as much as possible.
T=
Answer:T=(X*520N)+650
Step-by-step explanation:
a square with a side of 2 cm is dilated by a factor of 7/3 what is the side length of the dilated figure?
Answer:
14/3 cm
Step-by-step explanation:
The lengths of sides of a figure get multiplied by the dilation factor. The dilated square has side length 2 x 7/3 = 14/3.
is (-1,5) a solution to each system? y=2x+7
Answer:
Step-by-step explanation:
Plug (-1,5) into the equation y = 2x+7
5 = 2(-1)+7
5 = -2+7
5 = 5
The equation holds true, so (-1,5) is a solution to y = 2x+7
Consider a population having a standard deviation equal to 10. We wish to estimate the mean of this population.(a) How large a random sample is needed to construct a 95 percent confidence interval for the mean of this population with a margin of error equal to 1? (Round your answer to the next whole number.)A= 385(b) Suppose that we now take a random sample of the size we have determined in part a. If we obtain a sample mean equal to 295, calculate the 95 percent confidence interval for the population mean.What is the interval's margin of error? (Round your answers to 3 decimal places.)B=?
(a) The answer of the question "What is the interval's margin of error (Round your answers to 3 decimal places.)" to part (b) is B = 0.978.
(b) margin of error = 1.96*(10/sqrt(385)) = 0.978
(a) To find the sample size needed to construct a 95% confidence interval with a margin of error of 1, we use the formula:
margin of error = z*(standard deviation/sqrt(sample size))
where z is the critical value from the standard normal distribution for a 95% confidence level, which is approximately 1.96.
Plugging in the given values and solving for the sample size, we get:
\(1 = 1.96*(10/sqrt(sample size))\)
\(sqrt(sample size) = 1.96*10/1\)
\(sample size = (1.96*10)^2 = 384.16\)
Rounding up to the nearest whole number, we need a sample size of 385.
Therefore, the answer to part (a) is 385.
(b) To calculate the 95% confidence interval for the population mean given a sample size of 385 and a sample mean of 295, we use the same formula as above with the values we have:
1 = 1.96*(10/sqrt(385))
Solving for the margin of error, we get:
margin of error = 1.96*(10/sqrt(385)) = 0.978
The 95% confidence interval for the population mean is then:
295 - 0.978 to 295 + 0.978
or
(294.022, 295.978)
Therefore, the answer to part (b) is B = 0.978.
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When a scatterplot is created from a table of values, which statement is correct?
It is possible for two points to have the same x-coordinate and the same y-coordinate.
It is possible for two points to have the same x-coordinate, but it is impossible for them to have the same y-coordinate.
It is possible for two points to have the same y-coordinate, but it is impossible for them to have the same x-coordinate.
It is impossible for two points to have the same x-coordinate or the same y-coordinate.
When a scatterplot is created from a table of values, the statement that is correct is A.It is possible for two points to have the same x-coordinate and the same y-coordinate.
What is scatterplot?Scatter plots in mathematics can be considered as the graphs that helps in the establishment of the relationship between two variables in a data-set.
It shoud be noted that this represents data points which can be represented on the two-dimensional plane or on a Cartesian system however there are two variables whereby the independent variable or attribute is plotted on the X-axis, and the other is plotted on the Y-axis.
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The function f(x) is one-to-one. For X-7 a. Find an equation for f(x), the inverse function b. Verify that your equation is correct by showing a. Select the correct choice below and, if nec Jse integers or fractio
Solution
We have the following function given:
\(f(x)=\frac{x+21}{x-7}\)For this case we need to interchange x by y and we have:
\(x=\frac{y+21}{y-7}\)And we need to solve for x and we have:
\(x(y-7)=y+21\)\(xy-7x=y+21\)\(xy-y=7x+21\)Solving for y we got:
\(y(x-1)=7x+21\)\(y=\frac{7x+21}{x-1}\)Please help! Pleaseeee! It’s not that hard
Answer:
B
Step-by-step explanation: