Answer:
6.4 units (nearest tenth)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]
Distance between A and B
[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]
[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]
[tex] = \sqrt{ {4}^{2} + ( - 5) {}^{2} } [/tex]
[tex] = \sqrt{41} [/tex]
= 6.4 units (nearest tenth)
Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. a) Write an equation that can be used to find B, her account balance after t years. b) Find the amount in her bank account after 6 years to the nearest cent
Answer:
below
Step-by-step explanation:
that is the procedure above
Describe how you would factor x^2 + 10x - 24. Be specific.
Answer:
if u have more doubts feel free to ask :)
Step-by-step explanation:
x² + 10x -24
x² + 12x - 2x - 24
x(x + 12) -2(x + 12)
(x + 12) (x - 2)
Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12, ±24. Combination of +12 and -2 gives "10" the middle term also " 24"
In a (Gallup poll, 26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30, which is classified as obese. The 5000 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 98% confidence interval for the proportion of the population who arc obese? A. The proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805. B. We are 98% confident the proportion of adults polled who are obese is between 0.2515 and 0.2805. C. In 98% of all samples, the proportion of adults polled who are obese will be between 0.2515 and 0.2805. D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
Answer:
D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30
This means that [tex]\pi = 0.266, n = 5000[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515[/tex]
The upper limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805[/tex]
The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.
What is the value of x in the equation 2(5x + 4) = 17?
A 5/2
B 2/5
C 9/10
D 17/18
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
[tex]2(5x+4)=17,\\10x+8=17,\\10x=9,\\x=\frac{9}{10}[/tex]
Analysis:
2(5x+4)=17
Distribute10x+8=17,
Subtract 8 from both sides to isolate x10x=9
Divide both sides by 10 to isolate xx=9/10 (ans)
Answer:
x = 9/10
Step-by-step explanation:
2(5x + 4) = 17
Distribute
10x+8 =17
Subtract 8 from each side
10x +8-8 = 17-8
10x = 9
Divide by 10
10x/10 = 9/10
x = 9/10
Can anyone solve this question for me urgent! With work please. Thank you!
Answer:
P = 75*
Step-by-step explanation:
may anyone help me please and thank you so much !
Answer:
16 m
Step-by-step explanation:
The situation can be solved by proportion of corresponding sides in 2 right triangles.
let x be the length of shadow cast by oak tree, then
[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
9x = 144 ( divide both sides by 9 )
x = 16
Length of shadow is 16 m
Find the measure of angle 2.
60°
90°
120°
30°
Answer:
60
Step-by-step explanation:
answer is in photo above
A ball was kicked off a picnic table at the park and its height, h, in metres, above the ground after time, t, in seconds, is represented by h = 0.5 + 16t- 2t^2.
a) What is the height of the picnic table?
b) Complete the square to determine the maximum height of the ball?
Step-by-step explanation:
the picnic table height is 0.5 because it's the constant
and the maximum height is 28
my answer is in the image above
The figure shows two parallel lines cut by a transversal. what is the measure in degrees of angle ABC?
Answer:
70
Step-by-step explanation:
2x and (4x-70) have the same measurements.
Set your formula up as
2x = 4x-70
2x-4x=-70
-2x=-70
x=35
Now substitute 35 in place of x
2x = 2*35 = 70
4x-70 = 4*35 - 70 = 70
Kelly is going two work two part-time jobs during the school year. When she works for her dad, she will make $8.00 per hour. When she works at a day care center, she will make $14.00 per hour. To pay her car payment, Kelly needs to make at least $84.00 a week and can work no more than 10 hours total per week. Write an inequality to represent the difference combinations of hours working for her dad,X, and hours working for the daycare center,Y, Kelly can work if she wants to earn at least $84 per week
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.
Since she wants to make $84 per week, hence:
8x + 14y ≥ 84 (1)
Also, she can work a maximum of 10 hours per week, hence:
x + y ≤ 10 (2)
Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:
A(0, 6), B(0, 10) and C(9.3, 0.7)
please answer this its due tomrrow
please do what the questions says. DO ALL OF THE QUESTIONS. DONT SAY YOU SHOULD OD ONE BECAUSE I DONT KNOW ANY!!!!!
Answer:
Oki Doki, read below this will be long.
Step-by-step explanation:
So, lets start with mr moy.
First off, we need to figure out the total hours that mr moy worked.
Throuhgout the 7 days of the week, he worked 5 days. These were his hours:
8, 8, 8, 8, 9
Adding these together, you get a total of 41 hours.
Next we have total wage.
To find this, multiply the total hours by the hourly income. We know the hourly income is 12.5, and the total hours is 41:
12.5*41=512.5
So 512.5 is the total wage.
Lets do this for the next four people, I am just going to speed it up a bit:
Ms wong - hours - 8+8+7+9+9 =41. Hourly income - 9.5. Total income: 9.5*41:
389.5 is total income
41 is total hours
Maria - hours - 5+5+6+8+9=33. Hourly income - 7.5. Total income: 7.5*33:
247.5 total income
33 total hours
Tom - 4+4+4+4+4+8+8=36. Hourly income - 7.5. Total income: 7.5*36:
270 total income
36 total hours
Jacob - 5+5+5+7+7 =29. Hourly income - 7.5. Total income: 7.5*29:
217.5 total income
29 total hours
OK, now for the total sums:
Total hourly wages - 7.5+7.5+7.5+12.5+9.5=44.5
Total of the total hours - 41+41+33+36+29=180 hours
Total of total wages - 217.5+512.5+389.5+270+247.5=1637
Ok, thats it for the first page.
On the next pages, I was slightly confused. But Ill try my best.
A - for each employ, calculate total hours and wages. We already did this before.
B - What is the total amount that is paid out in wages in a week. We already did this before(1637)
C - which day is the busiest day of the week - Saturday. The slowest? Monday
So we know the slowest day has to be monday, since the total employment hours is 8+8+4=20. WHich is lower than the rest.
We also know the busiest day has to be saturday, since the total employment hours is 9+9+8+5=31. Which is higher than the rest.
Now to the the third page.
What is the average employe wage?
Lets add up all the wages, and divide by the amount of wages:
7.5+7.5+7.5+9.5+12.5=44.5
44.5/5
=
8.9
This is the average wage.
I dont totally understand part b or c of this answer.
I cannot draw or make a graph and table right now, so I cannot finish your answers.
I hope these help though!
The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answer: The answer is 8
Step-by-step explanation:
It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1
2
+
4 1
2
=
17
Calculation steps:
12 1
2
+
4 1
2
= (12 + 4) + (
1
2
+
1
2
)
= 16 +
1 + 1
2
= 16 +
2
2
= 16 +
2 ÷ 2
2 ÷ 2
= 16 +
1
1
= 8 hope this helps
Answer:
Answer is 8
Step-by-step explanation:
I know because I got the answer right!
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
Answer:
0.05n + 0.25q = 1.60
q = 3n
0.05n + 0.25(3n) = 160
0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals
5n + 75n = 160...answer D
Step-by-step explanation:
(meow) <3
What is the obesity threshold weight for a young adult American male?
Answer:
If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Step-by-ste
Answer:
218.7 lbs is your answer
What is the measure of <JHM
25
45
50
90
A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit
David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?
Answer:
Hi
Step-by-step explanation:
Please like I am noob I neeed brainliest
The cost price of the shoes are $50. The selling price of the shoes are 300% of the cost price. What is the selling price of the shoes? *
Answer:
47 or 200
Step-by-step explanation:
can someone pls help for brainlest
Answer:
The answer to the question is B,2:55
Answer:
2:55 B
Step-by-step explanation:
Each number 1 2 3 etc are counting by 5's. 11, five times is 55. It cannot be D because the shorter needle determines the hour and the longer one is on 11. It can't be A because counting by 5 starts with 1 not 12 it rotates clockwise not anti-clockwise. It can't be C because for it to be 50, it would need to be on the 10 not on 11.
Round the answer to the nearest hundredth: 3.21 + 3.62 ÷ 2.43
PLS HELP WILL GIVE MOST POINTS
Answer:
4.7
Step-by-step explanation:
3.21 + 3.62 ÷ 2.43
[tex]3\frac{21}{100}+1\frac{119}{243}[/tex]
[tex]4\frac{ 17003}{24300}[/tex]
[tex]4\frac{ 17003}{24300}=4.6997119341564[/tex]
4.6997119341564 rounds to
4.70
Answer is 4.70
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
3.21 + 3.62 ÷ 2.43
Convert decimal into fraction,
[tex]\dfrac{321}{100} + \dfrac{362}{100}\div\dfrac{242}{100}[/tex]
[tex]\dfrac{321}{100} + \dfrac{362}{242}[/tex]
[tex]\dfrac{(321)(242)+(362)(100)}{(100)(242)}[/tex]
[tex]\dfrac{77682+36200}{24200}[/tex]
[tex]\dfrac{113882}{24200}[/tex]
[tex]4.7[/tex]0
Learn more about Arithmetic operations here:
https://brainly.com/question/25834626
#SPJ2
Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.
Step-by-step explanation:
C. The system of equations is unsolvabl
Evaluate the following expression at x = -4
-5x-1
I really need the answer now pls help me asap!!
Answer:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Step-by-step explanation:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
please answer quickly easy 10 points but please answer quick
Answer:
He traveled 520 miles
Step-by-step explanation:
8 x 65 = 520
Answer: 520 miles
Step-by-step explanation:
Data: Juan drove 8 hours
Drove at an average Speed of 65 mph
Miles driven=x
Only step: Multiply 65 by 8 which is 520
Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.
Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.
I hope this helps(Mark brainiest if you want to, thanks)
can someone pls help for brainlest
Answer:
I think it 1188mm but not that sure if someone can double make sure
Answer:
382.50
Step-by-step explanation:
Area of the Shaded region = Area of the larger triangle - Area of the smaller triangle;
Let's find the area of the large triangle first;
A = 1/2(base) * (height)
A = 1/2(33) * (33)
A = 16.5 * 33
A = 544.5
Now let's find the area of the small triangle;
A = 1/2(base) * (height)
A = 1/2(18) * (18)
A = 9 * 18
A = 162
Area of the shaded region;
=> 544.5 - 162
=> 382.5 (if rounded to the nearest hundredths, 382.50)
Hope this helps!
Please help me it's urgent!
Answer:
1st one may be the answer to your question 39% sure
which of the following are solutions to the quadratic equation? x^2+3x-10=0
Answer:
-5 and 2
Step-by-step explanation:
That is where it intersects on the x-axis, so therefore it is the solution.
Is the following statement
possible or impossible?
A triangle has side lengths of
4, 8, and 9.
Possible
Impossible
Answer:
Possible
Step-by-step explanation:
The sum of two sides must be greater than the sum of the third side.
Answer:
Impossible
Step-by-step explanation:
Two sides of a triangle must always be less than the third.
Solve the equation for x.
Answer:
x = 7
Step-by-step explanation:
2x + 34 = 4x + 20
2x = 14
x = 7
x- (-3) is the same as x + (-3).
O True
O False
Answer:
false
Step-by-step explanation:
because x - (-3)
= x+3
and x + - 3
= x - 3
so they are not the same
hope this helps
Answer:
False
Step-by-step explanation:
If u minus you go the opposite direction
And you have negative 3
So you do the opposite direction of -3 which is +3
So x+3
