Write the equation of a line perpendicular to 8x - 7y= -6 that passes through the point (-8,6).
The equation of the line is y=
Answer:
y= -7/8x – 1
Step-by-step explanation:
the first equation would be y= 8/7 + 6/7the perpendicular slope would be -8/7and I solved for b by plugging in what I know for y=mx+bwhich is 6= -7/8(-8) + bsimplify so 6 = 7 + bsubtract 7 on both sides to get b = -1A number increased by 27 is 233. Find the number.
Answer:
206
Step-by-step explanation:
233 - 27 = 206
Which steps should be used to compare the fraction 2/9 and 5/8
Answer:
the last one
Step-by-step explanation:
You need make the same denominator
9 = 3*3
6 = 3*2
it follows that 3 *3 *2 is the simplest denominator
the fraction with the 6 needs to be multiplied by 3/3 and the one with 9 with 2/2
A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 600 600 viruses would differ from the population proportion by greater than 3% 3 % ? Round your answer to four decimal places.
Answer:
The probability is [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.07[/tex]
The mean of the sampling distribution is [tex]\mu_p = 0.07[/tex]
The sample size is n = 600
Generally the standard deviation is mathematically represented as
[tex]\sigma_p = \sqrt{\frac{p (1 -p)}{n} }[/tex]
=> [tex]\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]
=> [tex]\sigma_p = 0.010416 [/tex]
Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as
[tex]P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )[/tex]
Now add p to both side of the inequality
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )[/tex]
Now converting the probabilities to their respective standardized score
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]
From the z-table
[tex]P(Z \le 2.88) = 0.9980[/tex]
and
[tex]P(Z \le -2.88) = 0.0020[/tex]
So
[tex]P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020][/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
the value of f(2) for the function f(x)=2x+1
What is 2
1
4
·
9
5
?
Answer:
20,330
Step-by-step explanation:
214 times 95 is 20,330.
Exercice 3
Une société propose sur le marché trois formats de cônes glacés : le grand, d'un volume de
720 mL, le moyen et le petit.
a) Le cône moyen est une réduction du grand dans le rapport 75 %. Calculer son volume.
b) Le petit cône est une réduction du grand cône dans le rapport 50 %.
Marie affirme : « Le volume du petit cône est deux fois plus petit que celui du moyen >>
Qu'en pensez-vous ?
Exercice 4
Le volume d'une boule lyonnaise est environ 378 cm! Son diamètre est le triple de celui du
<< but >>
Calculer une valeur approchée du volume du but.
Windows is not genuine
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10:38 PM
10/28/2020
I
SOMEONE PLEASE HELP I need the answer AsAP
Answer:
it is d
Step-by-step explanation:
A school has adopted a section of highway to keep clean.if 1/3 of the section is 3/4 mile long how long is the section?,please help me out
Answer:
The answer is 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 5/12
Tran earns $16 per hour and is paid a flat fee of $46 each week. At
the end of the week her total salary can be represented by the
equation y=16x + 46, where x is the number of hours, and y is the
total weekly salary. Write this relationship in functional notation, as a
function S(h), where S(h) represents the salary for h number of hours.
Answer:
[tex]S(h)=16h+46[/tex]
Step-by-step explanation:
We just need to substitute the variables here! You already have the equations so instead of [tex]x[/tex] for hours, we use [tex]h.[/tex] And since it's a function the result is not [tex]y[/tex] but rather [tex]S(h)[/tex].
So we get the answer of: [tex]S(h)=16h+46[/tex]
2. One action figure sells for $3.50 How many action figures can Sergio buy for $20.00?
Answer:
He can buy 5
Step-by-step explanation:
To find the answer, you have to do divide 3.50 and 20. You get 5.714285714. You can't round up, since you are dealing with money, so round down to 5.
Hope this helps :)
Step-by-step explanation:
One action figure can be shown as x so x=$3.50.
Sergio has $20.00 so the equation is 20.00÷3.50 = number of x's Sergio can buy.
20÷3.50 =5 2.5/3.5
So x=5 2.5/3.5
Plz click thanks and give this question a 5 star rating if it is correct. Thx!
Help!!!! Having trouble finding the answer any help would be good
Answer: The slope is 3/2 or 1.5
Step-by-step explanation:
The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.
One point that can be found on the line is (2,3)
Divide the y coordinate by the x coordinate to find the slope.
The y coordinate is 3 and the x coordinate is 2.
3/2 = 1.5
The slope is 3/2 or 1.5.
Help pls!!!!!!!!!!!!!!!
Answer:
(6,0) and (0,-12) straight line graph
Step-by-step explanation:
Kai took five tests this semester. His scores are listed below.
92, 88, 90, 96, 84
What is the mean absolute deviation of Kai's test scores?In decimals
Answer:
3.2 0w0, hope this helps!
Step-by-step explanation:
I did this before
The mean absolute deviation of kai's test scores is 3.2.
What is mean absolute deviation?
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
According to the given question
We have
the given data 92, 88, 90, 96, 84
For calculating mean absolute deviation
we will first calculate mean
mean = [tex]\frac{92+88+90+96+84}{5} =\frac{450}{5} = 90[/tex]
Now we will calculate the distance between each data point and the mean :
|92 -90| =2|88-90| =2|90-90| =0|96-90| = 6|84 -90| = 6Add the distances together
2+2+0+6+6 = 16
Divide the sum by number of data points.
MAD( mean absolute deviation ) = [tex]\frac{16}{5} =3.2[/tex]
Hence, the mean absolute deviation of Kai's test scores is 3.2.
Learn more about the mean absolute deviation here:
https://brainly.com/question/10528201?referrer=searchResults
#SPJ2
What is the amount shaded in as a decimal?
Answer:
write the following shaded amount as a decimal.
Step-by-step explanation:
the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.
Answer:
write the following shaded amount as a decimal.
Step-by-step explanation:
the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.
Step-by-step explanation:
Rena is building a 1:180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long. What is the area of the base of the actual castle in square feet?
Answer:
123324
Step-by-step explanation:
What are the steps in solving word problems involving multiplication of simple
fractions with other operations?
Answer:
See explanation
Step-by-step explanation:
For every question that comes your way, the first step is to understand the question.
The next, is to convert the word problems into algebraic expressions.
Lastly, you solve the expression accordingly.
Take for instance.
Ade has half a dozen eggs. How many dozen does Ade have?
We understand that; half means ½ and a dozen means 12.
So, the expression is
½ * 12 = 6 eggs
which is a unit rate? plis help :c
Answer:
6 hours : 1 book
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Which equation represents a line which is parallel to the line 7x-5y=-30?
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
What is the slope of the line with equation y-3=-1/2(x-2)
Answer:
-1/2
Step-by-step explanation:
(h, k) --> point
m ---> slope
y - k = m (x - h)
Answer:
-1/2
Step-by-step explanation:
I got it right on EDGE
Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business. If Samantha's earnings continue to increase at the same rate, by how much are her earnings increasing each day? $________ per day Show your work. HINT: Find the slope.
Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
Natalie just invited 100100100 guests to a party in her small house. The base of her house is a rectangle with dimensions 8\text{ m}8 m8, start text, space, m, end text by 16\text{ m}16 m16, start text, space, m, end text. It's a good thing she didn't invite the fire marshal to the party! Move points to create an outline of Natalie's house on the grid below.
Question attached
Answer and explanation:
Please find answer and explanation attached
Answer:
6 by 12
Step-by-step explanation: Khan Academy
1/8k + 80= 1/2k + 120= ?
I need some help pls
1/8k + 80 = 1/2k + 120
Step 1: Subtract 1/2k from both sides.
1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k
-3/8k + 80 = 120
Step 2: Subtract 80 from both sides.
-3/8k + 80 - 80 = 120 - 80
-3/8k = 40
Step 3: Multiply both sides by 8/(-3).
(8/-3) x (-3/8k) = (8/-3) x (40)
Answer: k = -320/3 or −106.667
whats the difference between irrational and rational numbers
Answer:
difference between irrational and rational numbers:
Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0
Examples: 3=3/1 , 0=0/1 , 17=17/1
Irrational Numbers: They are numbers which cannot be expressed in the form of p/q where q is not equal to 0
Example: Root 2, 1. 1517825278235............... , 45.87812254.............
this is the major difference between irrational and rational numbers.
THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.
What is the equation of the line that passes through the point (-6,4)(−6,4) and has a slope of -\frac{5}{6}−
6
5
?
Answer:
y - 4 = -5/6(x + 6)
Answer:
y-4=3/2(x+4)
Step-by-step explanation:
CAN SOMEONE ANSWER MY QUESTIONS PLSSS
please help 8(10+8)
Answer:
its 180.... that's the answer
Answer:
it is 80 + 64
Step-by-step explanation:
All you have to do is multiply 8 by the numbers inside the parenthesis
The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?
(Please also show work)
Answer:
$43,200
Step-by-step explanation:
40,000*0.08=3,200
40,000+3,200=43,200
Hope this helps!
There were 8 judges at a gymnastic competition. Kathleen received these scores for her performance on the uneven parallel bars: 8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2 Mean = 8.8 Median = 8.85 Mode = 8.9 Which statistic reflects a typical score? Explain.
Answer:
It is the MEAN
Step-by-step explanation:
Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.
MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).
Which ratio below is proportional to the ratio 5/6?
help me :(
Answer:
25/30
Step-by-step explanation:
simplify 25/30 by dividing both number by 5, and you'll get 25/5 = 5 and 30/5 = 6;
Hence 25/30 is the same as 5/6 proportionally