3415 base 7 ×(-432base 7)
Ignore the negative sign, since that only affects the sign of the final product
3415₇ × 432₇
You can compute the product by considering the digit expansion, by which I mean first expanding each number as sums of powers of 7:
3415₇ = 3000₇ + 400₇ + 10₇ + 5₇
(It's the same thing as writing, for example, the decimal 3415 as 3000 + 400 + 10 + 5, just in a different base.)
Similarly,
432₇ = 400₇ + 30₇ + 2₇
Then apply the distributive property:
= (3000₇ + 400₇ + 10₇ + 5₇) × (400₇ + 30₇ + 2₇)
= 3000₇ × (400₇ + 30₇ + 2₇)
… + 400₇ × (400₇ + 30₇ + 2₇)
… + 10₇ × (400₇ + 30₇ + 2₇)
… + 5₇ × (400₇ + 30₇ + 2₇)
= {12}00000₇ + {9}0000₇ + 6000₇
… + {16}0000₇ + {12}000₇ + {8}00₇
… + 4000₇ + 300₇ + 20₇
… + {20}00₇ + {15}0₇ + {10}₇
where I use the curly braces to indicate products (written in base 10) of digits that exceed 6. Anything in these braces needs to be properly converted to base 7. For example,
{12}₇ = 7 + 5 = 15₇
So you would have
= 1500000₇ + 120000₇ + 6000₇
… + 220000₇ + 15000₇ + 1100₇
… + 4000₇ + 300₇ + 20₇
… + 2600₇ + 210₇ + 13₇
Add everything up:
• In the 7⁰ place,
3₇
• In the 7¹ place,
1₇ + 1₇ + 2₇ = 4₇
• In the 7² place,
2₇ + 6₇ + 3₇ + 1₇ = {12}₇ = 15₇
• Carry the 1 (underlined). In the 7³ place,
2₇ + 4₇ + 1₇ + 5₇ + 6₇ + 1₇ = {19}₇ = 25₇
• Carry the 2. In the 7⁴ place,
1₇ + 2₇ + 2₇ + 2₇ = {7}₇ = 10₇
• Carry the 1. In the 7⁵ place,
2₇ + 1₇ + 5₇ + 1₇ = {9}₇ = 12₇
• Carry the 1. In the 7⁶ place,
1₇ + 1₇ = 2₇
So, we end up with
3415₇ × 432₇ = 22045543₇
and thus
3415₇ × (-432₇) = -22045543₇
We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. What is the standard error of the sample proportion
its not 65% americans like all
The standard error of the sample proportion is 0.0002275
What is the standard error of the sample proportion?The standard error of a proportion p in a sample of size n is given by:
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
Now it is given that,
Number of people selected is 1000.
So, sample size, n 1000
Americans prefer chocolate = 65%
Thus, proportion, p = 0.65
So, standard error of a proportion is given as,
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]
[tex]S= 0.0002275[/tex]
this is the required standard error of the sample proportion.
Thus, the standard error of the sample proportion is 0.0002275.
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Complete the equation by rewriting 2 12/20
Answer:
52/20
Step-by-step explanation:
Common sense and simple math
Which graph shows the points (−112, 12) and (1.5, −0.5) plotted correctly? On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down. On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
[tex]A\left(-1\frac{1}{2},\:\frac{1}{2}\right)[/tex]Let 'B' be the point:
[tex]B\:\left(1.5,\:-0.5\right)[/tex]As point A(-1 1/2, 1/2) can be written as:
[tex]A=\left(-\frac{3}{2},\:\frac{1}{2}\right)=\left(-1.5,\:0.5\right)[/tex]
so plotting the point [tex]A=\left(-1.5,\:0.5\right)\:\:\:\:[/tex] and [tex]B\:\left(1.5,\:-0.5\right)[/tex] on a [tex]B\:\left(1.5,\:-0.5\right)[/tex].
As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Ella is making enough
crusts to use 9 cups of flour. How many cups of butter will she need?
Answer:
6 cups of butter because the ratio is 2/3 and if you keep with that you will get 6 cups ep-by-step explanation:
A sailboat is 175 feet from the base of a lighthouse. If the angle of elevation to the top of the lighthouse is 23°, find the height of the lighthouse, to the nearest hundredth of a foot.
9514 1404 393
Answer:
74.28 ft
Step-by-step explanation:
The tangent of the angle is the ratio of opposite side (lighthouse height) to adjacent side (distance from lighthouse).
tan(23°) = height/(175 ft)
height = (175 ft)·tan(23°) ≈ 74.28 ft
Find the missing angle.
Answer: 80
Step-by-step explanation:
Total amount in a triangle is 180
180 - 80 - 20 = 80
Help plsssssss............
What are the like terms in: 4x+7-2x? I will give brainliest
Answer:
4x and -2x
Step-by-step explanation:
Answer:
The like terms are 4x and 2x.
Step-by-step explanation:
4x and 2x have x as their variable.
Help with this problem
Answer:
18
Step-by-step explanation:
side length of triangle RST is 4 ✓ 3, 3 ✓ 3
So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18
sorry can u delete this my answer is wrong lol
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. They will have the runners wear the shoes when they run for two months. After two months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The company decides to use a matched pairs design and devises two options.
Option A: The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest two, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, then the first runner will receive the new model of shoes and the second runner will receive the original model. If the coin lands on tails, the first runner will receive the original model of shoes and the second runner will receive the new model. After 2 months of use, the difference in wear for the pairs of runners will be determined.
Option B: The 50 subjects will each receive both models of shoes. At the beginning, the runner will flip a coin, and if it lands on heads, they will wear the new model on their right foot and the original model on their left foot. Then after one month, they will change and use the new model on their left foot and the original model on their right foot. After the second month, the wear for each model will be determined and compared for the 50 runners.
Which option should the shoe company use to compare the two models?
A: The runners are paired based on their running ability. This will provide an accurate comparison for the difference in wear between the original model and the new model.
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Both A and B: Both provide an accurate comparison for the difference in wear between the original model and the new model. The runners are paired in option A based on running ability, and each runner uses both models in option B.
Neither A nor B: Neither provides an accurate comparison to determine the difference in wear for the two models. This experiment should be a randomized block design.
Answer:
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Step-by-step explanation:
Since the shoe company wants to test the wear of the shoes after two months, it means that option B will be the most accurate.
This because everybody has peculiarities in the bodies and also running patterns. These could have an effect on either of their legs. Thus, having to wear a new one on one leg and the original one on another leg for a month and then replacing with the second leg of both for the other month would be the best way to know the true effect of wear on the shoes because they have both been subject to same conditions within exactly the same timeframe.
Answer:
B
Step-by-step explanation:
got it right
Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5
Answer:
a. 1.2
Step-by-step explanation:
From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.
Keenan has 8 coins worth $0.70. If the coins are all dimes and nickels, how many dimes and nickels does he have?
Answer:
0.70
Step-by-step explanation:
Just Some e-dgenuity i need to get done
Answer:
Check mark number
2
4
5
What is the answer 1.4 ÷ 0.7 =
Answer: 2
Step-by-step explanation: 0.7 times 2 is 1.4
Answer:
2
Step-by-step explanation:
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
7 1/2÷3/4 Please help this mom out!!
Answer:
10
Step-by-step explanation:
give me brainly
am i correct? let me know
solve for x and y :
9 + 12i = 3x + 4yi
Answer:
27
Step-by-step explanation:
Grace was given a large box of 54 chocolates for her birthday. If she eats exactly 6
chocolates each day, how many chocolates would Grace have remaining 6 days after
her birthday?
This is an arithmetic sequence question
The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room
Answer:
7 metre
Step-by-step explanation:
Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-
(x+2).x. = 63.
or, x^2 +2 x - 63 = 0.
or, (x + 9).(x -7) =0.
or, x = - 9 (not valid) , 7 .
Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.
hope it helps! please mark me brainliest..
Merry Christmas good day
Calculate the minimum sampling rate necessary to digitize the track with high fidelity (i.e. so that it sounds like it does when you hear the friend play it in person) for storage on a hard drive.
Step-by-step explanation:
Calculate the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive.
[tex]f_{z} &=1.2 \times 2 \mathrm{~W}[/tex]
[tex]=1.2 \times 2 \times(15 \mathrm{KHz})[/tex]
[tex]=36 \mathrm{kHz}[/tex]
Therefore, the minimum sampling rate necessary to digitize the track with high fidelity for storage on a hard drive [tex]\mathrm{}$ is $36 \mathrm{kHz}[/tex]
15r-15s=
can you help
Answer:
i dlnt know 15 I think not sure
Answer: 0 i guess i dont know
Step-by-step explanation:
Select the common unit rate you would use to solve a problem involving the speed of a vehicle.
A: Earnings per week
B. Words per minute
C: Kilometers per hour
D. Miles per gallon
Please select the best answer from the choices provided.
Answer:
I think option c is the best answer but i am not surely ok
Answer:here's the correct answer for this question
Step-by-step explanation:edge2023
A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.
If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold
Simplify this into your own words if you have to
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Answer:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Step-by-step explanation:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
The percentages associated with each unit of standard deviation are all 0, since the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean.
The table shows the area under the standard normal curve for different values of x, where x is the number of standard deviations from the mean.
To find the percentage associated with each unit of standard deviation, we can subtract the area from the table for the lower value of x from the area for the higher value of x, and round the result to the nearest hundredth.
For example, the percentage associated with one unit of standard deviation, from -1 to 0 or from 0 to +1, is:
Area from -1 to 0: 0.3413
Area from 0 to +1: 0.3413 (symmetric curve)
Percentage: 0.3413 - 0.3413 = 0 (rounded to nearest hundredth)
The percentage associated with two units of standard deviation, from -2 to 0 or from 0 to +2, is:
Area from -2 to 0: 0.4772
Area from 0 to +2: 0.4772 (symmetric curve)
Percentage: 0.4772 - 0.4772 = 0 (rounded to nearest hundredth)
Similarly, we can find the percentages associated with other units of standard deviation:
From -3 to 0 or from 0 to +3: 0.4987 - 0.4987 = 0
From -4 to 0 or from 0 to +4: 0.4999 - 0.4999 = 0
Therefore, because the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal, the percentages associated with each unit of standard deviation are all zero.
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What is the Constant of proportionality between 3 and 18.85
Answer:2.25
Step-by-step explanation:it just is
What’s the formula for the sequence 9, 14, 19, 24, ...?
Answer:
add 5
Step-by-step explanation:
Answer:
+5
Step-by-step explanation:
It keeps adding five so,
14, 19, 24, 29, 34,39,44...
1. David has $40 to spend at the state fair. The entrance fee is $15 and each
ride costs $1.25. Write an equation that best represents the situation. Then
solve to find out how many rides he can go on.
Answer:
let he takes x ride in total
1
$15 + 1.25x = $40
on solving
1.25x = 40 -15
1.25x=25
x=25/1.25 = 20
He can go on 20 rides.
Step-by-step explanation:
Plzz help me thank you
Answer:
A
Step-by-step explanation:
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables