Answer:
84563 to 3 significant figure is 85,000.
Step-by-step explanation:
In this problem, we need to round off 84563 into 3 significant figures.
Significant figures are the digits that reliable and absolutely necessary to indicate the quantity of something. If a number expressing the result of measurement of something.
In 84563, it is eighty four thousand five hundred and sixty three. It is rounded off to 3 significant figures as 85,000.
Hence, 84563 to 3 significant figures is 85,000.
your friend borrowed 1050 from you to buy a new dirt bike. your friend pays you back the principal plus 7.25% interest per year for 3 years. what is the total amount your friend will owe you at the end of 3 years
Answer:
12.78375
Step-by-step explanation:
7.25% of 10.50 = 0.76125
0.76125 × 3 = 2.28375
10.50 + 2.28375 = 12.78375
So his friend will owe him 12.78375
Find the value of x in the isosceles triangle shown below.
Answer:
The anwser to this would be x=6 so C hope this helps :)
A garden flower grows a total of 10 cm in July and August. Assuming that the flower grows at a consistent rate for a full year, how much will the flower grow in a year?
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
July and August are 2 of the 12 months in the year. The growth for the year can be expected to be 6 times the growth in a 2-month period, so 60 cm.
_____
You could get down to particulars as to the number of days in those two months versus the total number of days in a year. You would have to specify whether it is a leap year. In a non-leap year, the growth might be ...
365/(31+31) × 10 cm ≈ 58.9 cm
In a leap year, it would be 59.0 cm.
Given P(A) = 0.3, P(B) 0.63 and P(BA) = 0.79, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
Answer:
P(A and B) = 0.14.
Step-by-step explanation:
Venn probabilities:
Suppose we have two events, A and B. The probability P(A and B) is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
In this question:
P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14[/tex]
So
P(A and B) = 0.14.
What is the measure of the angle
Answer:
it's 60 degree in my thinking
Step-by-step explanation:
hope this is the answer
Answer:
I think it's somewhere in the 80's or 70's
Step-by-step explanation:
bit you actually need a protractor to figure out the exact measurements
Please answer the ones you know or all of them
Answer:
solve each equation :
12) B) {0}
13)(B) {-3}
14) (C) {4}
GUYSS HELP ME OUT HERE ON THIS QUESTION SO I CAN GET FREE WIFI
Answer:
the answer is "NEVER GONNA GIVE YOU UP"
Step-by-step explanation:
HELP
Which equation has no real solution A. B2 + 3b = -3
B. 2c2 + 4c = 9
C. -5c2 – c= -2
D.7g +1 + 3g2 = 0
Answer:
A.
[tex] {b}^{2} + 3b - 3 = 0[/tex]
Step-by-step explanation:
[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]
Analyze the diagram below and answer the the question that follows. Which statement is false? A. Angle MNO is congruent to angle OPM by SSS. B. angle MON is congruent to angle OMP by SAS. C. angle MPO is congruent to angle MNO by SAS. D. MO = OM
9514 1404 393
Answer:
C. triangle MPO is congruent to triangle MNO by SAS
Step-by-step explanation:
Enough information is given in the diagram so that we know ...
ΔMNO ≅ ΔOPM
by either the SSS or SAS congruence postulates.
What makes statement C false is the fact that the vertices listed are not corresponding vertices.
_____
Additional comment
The wording here is of the form <angle 1> is congruent to <angle 2> by <some triangle congruence postulate>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.
]This problem is for my math class
Solve the inequality below
6x - 5 < 55
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *
Answer:
1710
Step-by-step explanation:
you will multiply 1500 euros by the exchange rate
Referring to the picture below, which of these statements are true? Change in elevation from point A to B. The distance traveled from A to B along the straight line path is a state function. The distance traveled on the curved path from A to B is a state function. The change in elevation from point A to B (Δ) is a state function.
Answer:
Following are the responses to the given points:
Step-by-step explanation:
The State function is indeed a characteristic that does not depend upon on path to that specific significance.
In contrast, two route functions are called call path operations.
Throughout this case, only the state system includes them. Lift changes are dependent on a particular difference between two balancing states (pressure, temperature).
A town recently dismissed 88 employees in order to meet their new budget reductions. The town had 77 employees over 5050 years of age and 1717 under 5050. If the dismissed employees were selected at random, what is the probability that at least 66 employees were over 5050? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.0013 probability that at least 6 employees were over 50.
Step-by-step explanation:
The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
8 employees dismissed means that [tex]n = 8[/tex]
Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]
7 over 50, which means that [tex]k = 7[/tex]
What is the probability that at least 6 employees were over 50?
6 or 7, so:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]
[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]
0.0013 probability that at least 6 employees were over 50.
In the circle shown, secants PE and PF have been drawn such that arc CE = 82, arc DF=98 and the ratio of arc CD to arc EF is 2:7. Determine the measure of angle P. Show how you arrived at your answer.
Answer:
m<P = 50°
Step-by-step explanation:
Given:
Arc CE = 82°
Arc DF = 98°
Ratio of arc CD to Arc EF = 2:7
Thus, let,
Arc CD = 2x
Arc EF = 7x
A full circle = 360°
Therefore,
Arc CE + Arc DF + Arc CD + Arc EF = 360°
Substitute
82° + 98° + 2x + 7x = 360°
Add like terms
180° + 9x = 360°
Subtract 180° from both sides
180° + 9x - 180° = 360° - 180°
9x = 180°
Divide both sides by 9
9x/9 = 180/9
x = 20
✔️Arc CD = 2x
Plug in the value of x
Arc CD = 2(20) = 40°
Arc EF = 7x = 7(20) = 140°
✔️Find m<P:
Recall: the measure of the external angle created when two secants intersect = half the difference of the major and minor arcs that are intercepted
Thus:
m<P = ½(arc EF - arc CD)
Substitute
m<P = ½(140° - 40°)
m<P = ½(100°)
m<P = 50°
pls help alot of points
Answer:
the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.
so
none of the above.
Answer:
d
Step-by-step explanation:
none of the above
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5, -3) and (-7, -7).
are
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3, etc.)1) Determine the midpoint of the line segment
When two lines bisect each other, they intersect at the middle of each line, or the midpoint.
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]
Therefore, the midpoint of the line segment is (-1,-5).
2) Determine the slope of the line segment
Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]
Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
3) Determine the y-intercept of the perpendicular bisector (b)
[tex]y=-3x+b[/tex]
Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x-8[/tex]
I hope this helps!
Help me PLEASEEEEEEEEEEEEE
Answer:
Positive number: Elevation of a mountain above sea level, growth of a plant, money saved. Negative number: Temperature colder than 0.
Step-by-step explanation:
Elevation of a mountain that is above sea level is positive since it isn't below sea level, which would be negative, you are increasing as you go up. Growth of a plant is positive since it isn't growing shorter. Money saved since you aren't spending it. Temperature colder than 0 because that is when the negative numbers start to occur.
Answer:
Step-by-step explanation:
the first box goes in negative, second box in positive, third box in negative, and fourth box in positive.
* But for the first box i’m not completely sure, hope this helped.
pls help im giving brainless. i need it Asap plss
(Click the picture to see math question) please help I’ll mark brainliest
Answer:
g(x) = f(x + 2)
Step-by-step explanation:
The x value has been translated by 2
Feel free to mark it as brainliest :D
The circumference of the hub cap of a tire is centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer:
Area of the hub = 470.42 cm² (Approx.)
Step-by-step explanation:
Missing information;
Circumference of the hub = 76.87 cm
Value of π = 3.14
Find:
Area of the hub
Computation:
Circumference of the hub = Circumference of circle
2πr = 76.87
2(3.14)r = 76.87
6.28r = 76.87
Radius of hub = 12.24 cm
Area of the hub = Area of circle
Area of the hub = πr²
Area of the hub = (3.14)(12.24)²
Area of the hub = (3.14)(149.8176)
Area of the hub = 470.42 cm² (Approx.)
Yes, If the circumference of the hub cap were smaller, Area will be small too.
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70?
Answer:
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Step-by-step explanation:
Test if the mean one-time gift donation is greater than $70:
At the null hypothesis, we test if it is 70 or less, that is:
[tex]H_0: \mu \leq 70[/tex]
At the alternate hypothesis, we test if it is greater than 70, that is:
[tex]H_1: \mu > 70[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
70 is tested at the null hypothesis:
This means that [tex]\mu = 70[/tex]
Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.
This means that [tex]n = 60, X = 75, s = 12[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]
[tex]t = 3.23[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.001.
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Determine the missing angle in the picture below.
Answer:
x =41.18114952
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
We know the hypotenuse and adjacent sides
cos theta = adjacent / hypotenuse
cos x = 14.3/19
taking the inverse cos of each side
cos^-1 (cos x) = cos ^-1 ( 14.3/19)
x =41.18114952
Answer:
Step-by-step explanation:
take x degree as reference angle
using cos rule
cos x=adjacent/hypotenuse
cos x=14.3/19
cos x=0.75
x=cos 41
x= 41 degree
A = 7x2 - 3x + 10
B = -4x2 + 6x - 4
A - B =
Your answer should be a polynomial in standard form.
Answer:
A - B = 11x² -9x + 14
A - B = 11x² -9x + 14
PLEASE HELP ME I BEG YOU
1- False
2- False
3- False
4-False
Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sidelined by those of Tanae. When Kirenna confronts Tanae, he terminates her employment. Which of the following is the most appropriate suit that will help Kirenna?
a. a retaliation lawsuit
b. a forgery lawsuit
c. a reverse discrimination suit
d. a public policy violation lawsuit
e. a civil right infringement lawsuit
Answer:
e. a civil right infringement lawsuit
Step-by-step explanation:
A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.
So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.
Find the volume of the following rectangular pyramid.
10 cm
7 cm
4 cm
Answer:
option third : 93.33 cubic. cm
Step-by-step explanation:
Volume of rectangular prism :-
Given :- length = 7cm, width = 4cm, height = 10cm
[tex]v = \frac{l \times w \times h}{3} \\ = \frac{280}{3} \\ = 93.333[/tex]
What combination of transformations is shown below?
Answer:
Correct answer is "reflection, then rotation".
Step-by-step explanation:
The figure shows the following two operations:
1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])
2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])
Therefore, correct answer is "reflection, then rotation".
A box is filled with 2 red carts, 3 green cards, and 8 brown cards. A card is chosen at random from the box, What is the grobability that the card is not green?
Write your answer as a fraction in simplest form.
Answer:
10/13
Step-by-step explanation:
High. Very High
The total number of cards is 8 + 3 + 2 = 13
There are 3 green ones and 10 others.
P(~G) = 10/13 = 0.769
Determine the slope of the line passing through (4, -2) and (7, 10).
Answer:
4
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(10-(-2))/(7-4)
(10+2)/(7-4)
12/3
4
So the slope is 4.
---
hope it helps
The slope of the line passing through (4, -2) and (7, 10) is,
⇒ m = 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Two points on the line are (4, -2) and (7, 10).
Since, The equation of line passes through the points (4, -2) and (7, 10).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (10 - (-2)) / (7 - 4)
m = 12 / 3
m = 4
Thus, The slope of line = 4
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.