Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
Harmony thinks 448 is the solution to the equation 8b=56. is harmony correct? explain why or why not.
pls answer quickly my assignment is due tonight
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
8b = 56
Simplify the equation, then we have
8b = 56
b = 56 / 8
b = 7
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
If one side of a regular decagon is 4 cm, how long is each of the other sides?
Answer:
4cm
Step-by-step explanation:
A decagon has 10 sides that are probably equal. one of the sides is 4cm.The remaining 9sides = 9×4 = 36cmeach sides are 4cm.Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.
To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.
The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.
Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".
Then we can use the Pythagorean theorem to find the length of the other side:
s² = h² + (s/2)²
We can solve for "h" in terms of "s" as follows:
h² = s² - (s/2)²
h² = (4s²)/4 - s²/4
h² = (15s²)/16
h = (s√15)/4
Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",
We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:
s² = h² + (s/2)²
s² = [(s√15)/4]² + (s/2)²
s² = (15s²)/16 + (s²)/4
s² = (15s² + 4s²)/16
s^2 = (19s²)/16
s = √(19/16) s
s = (√19/4) cm
Therefore,
Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ3
Please I need help. The Median of a data set is 100. Which statement about the data set must be true?
A. The data set has an average of 100
B. Half the data values are greater than 100.
C. The minimum value is 80 and the maximum value is 120
D. Only one of the data points in the data set has a value of 100
Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.
Step-by-step explanation:
Answer:
B. Half the data values are greater than 100.
Step-by-step explanation:
The median is just another way to say the number in the middle. So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.
One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4). What are the coordinates of the other two vertices?
Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
There are 20 houses on Rainbow Street. 45% of the houses have holiday decorations in their yard. How many houses have decorations?
Answer:9
Step-by-step explanation:
I am not good at math, will give brainliest
Answer:
the answer is a
Step-by-step explanation:
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?
Answer:
In 10 years, you will have $793,789.89
Step-by-step explanation:
Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.
Answer:
1075 ft
Step-by-step explanation:
25*35 = 875
8*25 = 200
875+200 = 1075
Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation
Answer: 6000+700+00+0
I hope that helps you
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
explain how the diagram can help find the area of a circle
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately [tex]\pi r^2[/tex] . The reason is that the height of the rectangle is r , the radius of the circle. And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
The Black transles are shown. Find the value of
The value of
(just type a number in the box)
please help me !!
Answer:
I think its d
Step-by-step explanation:Because i think that.
Answer:
x = 8
Step-by-step explanation:
The ratio between the traingle is
2:3
x:12
3*4 = 12
2*4 = 8
8:12
79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.
9514 1404 393
Answer:
0
Step-by-step explanation:
The two expressions for her salary can be equated:
2h +4 = 4 +4h
0 = 2h . . . . . . . . subtract 2h+4 from both sides
h = 0 . . . the husband's salary is zero dollars per month
Answer:
$2000
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
hi does anyone have the answer for this? 100 points if answered :))
Answer:
15 feet
Step-by-step explanation:
This is already factored for the zeros of the quadratic. If x - 5 = 0 and x - 20 = 0 then x = 5 and 20. The ball was kicked 5 feet out and landed at 20 feet down the field. The difference is 15 feet. That's how far the ball traveled from its initial position on the ground to its landing place.
So 15 feet from where it was kicked.
This had me confused i need big help!!!!
Answer:
[tex]3\frac{7}{8}[/tex]
Step-by-step explanation:
Equation: 4 1/7 + 2 1/8 + x= 10 1/7
Convert into improper fractions:
29/7 + 17/8= 71/7
Add fractions
351/56+x= 71/7
Subtract on both sides
X= 31/8 or 3 7/8
The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings
Answer:
Step-by-step explanation: C is the answer
Which of the values in the set {3, 4, 5, 6} is a solution to the equation 4x + 2 = 22? (4 points)
a
3
b
4
c
5
d
6
Step-by-step explanation:
[tex]4x + 2 = 22 \\ 4x = 20 \\ x = 5[/tex]
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation:
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
What is the fraction ⁸⁄₂₀ in its simplest form?
Answer:
2/5
Step-by-step explanation:
dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd
Step-by-step explanation:
8/20=4/10=2/5
done by cancelling
hope it helps
What is the slope of the line through (1, 1) and
(4.1)
Answer:
m = 0
Step-by-step explanation:
Let's figure out the change in x (the 'run') and the change in y (the 'rise'). Going from the first point to the second, we see that x increases by 3 and y stays the same. Therefore we know that the line is a horizontal one with zero slope.
I need help. This is due later today.
Answer:
D is one of them
Step-by-step explanation:
Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answer:
wdym
Step-by-step explanation:
