Answer:
y+3x+11=0
Step-by-step explanation:
m=-3, x1=-4, y1=1
from m=y-y1/x-x1
-3=y-1/x-(-4)
-3(x+4)=y-1
-3x-12+1=y
y=-3x-11
y+3x+11=0
A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?
Answer:
27
Step-by-step explanation:
Because if it is halfway, that means
halfway=1/2
1/2=1/2 of 54
54/2 or 1/2 of 54=27
PLS MARK ME BRAINLIEST I NEED IT PLEASE
The center of the sign will be 27 feet apart from both ends of the bridge.
Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27
Thus, the center of the sign will be 27 feet apart from both ends of the bridge.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that [tex]P(B) = 0.1[/tex]
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that [tex]P(A|B) = 0.995[/tex]
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]
93.25% probability that they have taken this steroid
It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?
Answer:
Velocity = distance / time
Velocity = (9/10) / (3/8)
Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour
Therefore, you could walk 4.8 miles in 2 hours.
Step-by-step explanation:
Answer:4.8 miles
Step-by-step explanation:
3/8 of an hour to walk 9/10 of a mile
2 hour to walk ____
Distance walked in 2hr=(2x9/10) ➗ 3/8
Distance walked in 2hr=18/10 ➗ 3/8
Distance walked in 2hr=18/10 x 8/3
Distance walked in 2hr=(18x8) ➗ (10x3)
Distance walked in 2hr=144 ➗ 30
Distance walked in 2hr=4.8 miles
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes
Answer:
<
Step-by-step explanation:
22/20=1.1
38/30=1.27
Answer:
<
Step-by-step explanation:
Find the difference:
2
X+ 10
3
X+4.
-X+38
(x+10) (x+4)
-x-22
(x+ 10) (x+4)
1
6
HELP
Answer:I believe it’s B but I’m not sure
Step-by-step explanation:
Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years.
12 - 3y-2
Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina's age.
Yuri is 2 years younger than triple Karina's age
Karina is 3 years younger than twice Yuri's age.
O Karina is 2 years younger than triple Yuri's age.
Answer:
Karina is 2 years younger than triple Yuri’s age
Step-by-step explanation:
two subtracted from 3 times yuri's age
Answer:
The correct option is D. Karina is 2 years younger than triple Yuri’s age.Write eight and fifteen hundredths in decimal notation
Answer:
8.15
Step-by-step explanation:
Answer:
0.08, 0.15
Step-by-step explanation:
The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams.
Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Below are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:
88 93 99 104
98 103 96 99
111 90 108 98
101 112 104 102
105 101 95 104
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
a) Test whether the sample provides evidence at the 5% level of significance that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Answer:
We conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Step-by-step explanation:
We are given that there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
Let [tex]\mu[/tex] = average sodium content in all Jupiter Bars.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 96 milligrams {means that the average sodium content in all Jupiter Bars is equal to 96 milligrams}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 96 milligrams {means that the average sodium content in all Jupiter Bars is actually more than 96 milligrams}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean sodium content = 100.55
s = sample standard deviation = 6.304
n = sample of Jupiter bars = 20
So, the test statistics = [tex]\frac{100.55-96}{\frac{6.304}{\sqrt{20} } }[/tex] ~ [tex]t_1_9[/tex]
= 3.228
The value of t test statistics is 3.228.
Now, at 5% significance level the t table gives critical value of 1.729 at 19 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 3.228 > 1.729, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Which of these quadrilaterals are rectangles?
Answer:Parallelogram, rhombus ,square
Step-by-step explanation:
add 5 1/2 kg to 450g
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g
Answer:
[tex]5950g[/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]
Now let's add.[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]
So the correct answer is,[tex] = 5950g = 5kg \: 950g[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.
Answer:21
Step-by-step explanation:9+10
Answer:
B,C,D.F
Step-by-step explanation:
what type of function has a common rate of change
Answer:
linear
Step-by-step explanation:
A linear function has a constant rate of change.
_____
The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."
IL GIVE YOU BRAINLIST !! * have to get it right * The slope and y-intercept for a linear equation are given. Which graph matches this information?
Answer: either a or b
Step-by-step explanation:
What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?
Answer:113 cubic meter
Step-by-step explanation:
Diameter=6
Radius=r=6/2
Radius=r=3
π=3.14
Volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3 x 3.14 x 3 x 3 x 3
Volume of sphere=(4x3.14x3x3x3) ➗ 3
Volume of sphere=339.12 ➗ 3
Volume of sphere=113.04
Volume of sphere =113 cubic meter
A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings?
Answer:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
Step-by-step explanation:
Analyzing the given situation, we can form two algebraic equations.
Since, she has 100 lemons and 4 lemons are required for small beverage, while 5 lemons are required for large beverage. So, we can form the equation:
4x + 5y = 100 --------- eqn (1)
where,
x = No. of small beverages sold
y = No. of large beverages sold
Similarly, she has 180 table spoons of sugar and 6 table spoons are required for small beverage, while 10 table spoons are required for large beverage. So, we can form the equation:
6x + 10y = 180 -------- eqn (2)
From eqn (1):
x = (100 - 5y)/4 ------- eqn (3)
Substituting this value of x in eqn (2)
(6)(100 - 5y)/4 + 10y = 180
10 y - 7.5 y= 180 - 150
2.5 y = 30
y = 30/2.5
y = 12
Using this value of y in eqn (3)
x = [100 - (5)(12)]/4
x = 10
Therefore, in order to maximize the earnings the kid should sell following number of each beverage:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
What is the volume of this cone
Answer:
6ix9ines a snitch
Step-by-step explanation:
aka rat
A number increased by 12
Answer:
x+12
Step-by-step explanation:
X is the number
12 more
MORE
x+12
Find x , the missing side length in the right triangle
Easy 5th grade math help me :>
Answer:
52
Step-by-step explanation:
Answer:
it is 52
Step-by-step explanation:
each number been add 4
32+4=36
36+4=40
40+4=44
44+4=48
48+4=52
GIVING 100 POINTS FOR THESE 3 PROBLEMS
Answer:
Step-by-step explanation:
[tex]A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2[/tex]
[tex]A=\frac{ab}{2} =\frac{4*6}{2} =12in^2[/tex]
[tex]A=wl=6*5=30in^2[/tex]
[tex]12+30=42in^2[/tex]
[tex]A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2[/tex]
Wall = A=[tex]\frac{ab}{2} =\frac{6*30}{2}=90ft^2[/tex]
Answer:
16.5cm²42in²90ft²Step-by-step explanation:
Question 1:
A = (a+b/2)h
A = (4+7/2)3
A = (11/2)3
A = (5.5)3
A = 16.5cm²
Question 2:
A = bh/2 = 6*4/2 = 24/2 = 12
A = bh = 6*5 = 30
A = 12 + 30 = 42
A = 42in²
Question 3:
A = (a+b/2)h
A = (28+40/2)30
A = (68/2)30
A = (34)30
A = 1020ft²
A = bh/2
A = 30*6/2
A = 180/2
A = 90ft²
Best of Luck!
Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer
Answer
I believe C considering cubic mass
Answer:
D
Step-by-step explanation:
Plz help me find the area of this polygon
Answer:
It is 4
Step-by-step explanation: To find the area you multiply the numbers.
Which rules give a repeating pattern that has a 4 as the 27th number?
Select all that apply.
A. 7. 4.
B. 7, 7, 4
C. 3, 4.6
D.7. 1.4
E. 5. 4.9
Answer:
i think the answer is b i think i am not sure if that is right but if it is wrong please tell me please :(
Step-by-step explanation:
convert the decimal 0.085to a percent
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
What is the variable for setting an alarm clock
Answer: The time in which the alarm clock will sound.
Step-by-step explanation:
The variable is something that can change or be changed.
So in the case of the alarm clock, the variable is the number that you select, which is the number (or hour) in which the alarm clock will make noise, because you have total freedom to change it.
14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000
Answer:
11,040 is the answer
Step-by-step explanation:
you just need to subtract
There are 36,960 people were supporting the home team.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At the college football game there were 48,000 people.
If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.
x/ 48000 = 77/ 100
here plugging in all our numbers gives us .
x = (77/ 100)48000
x = 36,960
Therefore, There are 36,960 people were supporting the home team.
Learn more about percentages;
https://brainly.com/question/13450942
#SPJ2
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced college degree, earns $90,761 per year, while a woman with an advanced college degree earns an average of $50,756 per year. Calculate the difference in earnings, over a 30-year career, for men vs women.
Answer:
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150
Step-by-step explanation:
Per year.
The average man earns $90,761.
The average woman earns $50,756
So, per year, the difference is:
90,761 - 50,756 = 40,005
Over 30 years:
30*40,005 = 1,200,150
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150.
Given that,
The average American man, with an advanced college degree, earns $90,761 per year, while a woman with an advanced college degree earns an average of $50,756 per year.Based on the above information, the calculation is as follows:
Per year difference is 90,761 - 50,756 = 40,005
Now for 30 years, it is 1,200,150
Therefore we can conclude that, the difference in earnings, over a 30-year career, for men vs women, is $1,200,150.
Learn more: brainly.com/question/16115373
Giving brainliest for CORRECT awnser.
Answer:
x=8±√35
Step-by-step explanation:
x^2-16x+50=21
Use the formula (b/2)^2 in order to create a new term. Solve for x
by using this term to complete the square.
Exact Form:
x=±√35+8
Decimal Form:
x=13.91607978…,2.08392021…
Trust me, I swear to god I will give brainiest just help me out
Answer:
1286.8
Step-by-step explanation:
Volume of a cylinder is pi(r²)(h)
The radius is 6.4 and the height is 10
Answer:
1286.1 units³
Step-by-step explanation:
V = πr²h
= 3.14 x 6.4 x 6.4 x 10
= 3.14 x 409.6
= 1286.144 units³
= 1286.1 units³
