Answer:
1700 ft
Step-by-step explanation:
I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.
Answer:
1,700 ft
Step-by-step explanation:
A review of voter registration in a small rural town revealed the following: Male Female TOTAL DEMOCRAT 600 600 1,200 REPUBLICAN 500 300 800 OTHER 122 100 222 TOTAL 1,222 1,000 2,222 Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent. Type a numerical answer in the space provided. Do not include % or spaces in your answer
Answer:
Step-by-step explanation:
The given data is
Male female total
Democrat. 600 600 1200
Republican 500 300 800
other 122 100 222
total. 1222 1000 2222
The total number of people (males and females) that voted is 2222. The total number of people that did not vote Republican or Democrat but voted "other" instead is 222
Therefore, the percentage of all voters that did not vote Republican or Democrat but voted "other" instead is
222/2222 × 100 = 9.990990999099
Rounding up to the nearest tenth of a percent, it becomes 10.0
Answer: A review of voter registration in a small rural town revealed the following:
Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "Other" instead.
22%
25%
222%
10% this is right
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML. What is the length of segment NP?
Answer:
not sure if it's 26 or76
Answer:
its 2
Step-by-step explanation:
drag the tiles to the correct boxes to complete the pears. Match the values based on parallelogram ABCD, shown in the figure.
length of BC
value of y
m
value of x
56–>
4–>
44–>
2–>
Answer:
[tex]L$ength of \overline{BC} \rightarrow 4$ units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\$Value of x \rightarrow 2$ units[/tex]
Step-by-step explanation:
In parallelogram ABCD, BC=AD
Given:
BC=(6-x) units
AD =(x+2) units
Therefore:
6-x=x+2
x+x=6-2
2x=4
x=2
BC=(6-x) units
=(6-2) units
BC=4 units
The opposite angles of a parallelogram are equal. Therefore:
[tex]m\angle BCD=m\angle BAD\\12^\circ+y^\circ=100^\circ-y^\circ\\y^\circ+y^\circ=100^\circ-12^\circ\\2y^\circ=88^\circ\\y=44^\circ[/tex]
[tex]m\angle DAB=100^\circ-y^\circ\\=100^\circ-44^\circ\\m\angle DAB=56^\circ[/tex]
Therefore, the match is:
[tex]L$ength of \overline{BC} \rightarrow 4$ units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\$Value of x \rightarrow 2$ units[/tex]
Answer:
Step-by-step explanation:
plato i guess
What is the vertex of the function f(x)=2x2+12 x +10?
Answer:
Vertex: (-3. -8)
Step-by-step explanation:
Quickest and easiest way to do this is to using a graphing calc and graph the function. Once you have done so, trace the graph to the lowest point of the graph. You should be able to see that (-3, -8) is your answer.
Alternatively, you can convert this function into f(x) = a(bx - h)² + k (by Completing the Square) form to find (-h, k) as your vertex.
72/10 is equal to what decimal?
Answer:
7.2
Step-by-step explanation:
Since 72 goes into 10 7 times, we do have 7 point something. We are left with 2/10ths, which is 0.2, so we add them together to get 7.2.
WHO ELSE HATES MATH LIKE ME!? OR ALGEBRA I SHOULD SAY! UGH!!! :( I NEED A PERSONAL STUDY BUDDY TO HELP ME GET THROUGH THESE TOUGH ?'S :( Brian works in a lab, and fills an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm and a height 12 cm. What percent of the volume of the flask is not filled with liquid? (Use π=3.14 . WHAT IS THE answer rounded to the nearest whole percent.)
Answer:
The answer is 41%.
Step-by-step explanation:
First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :
[tex]v = \pi \times {r}^{2} \times h[/tex]
[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]
[tex]v = 3.14 \times {3}^{2} \times 12[/tex]
[tex]v = 3.14 \times 108[/tex]
[tex]v = 339.12 {cm}^{3} [/tex]
Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :
[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]
Lastly, you have to find the percentage :
[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]
Find the slope through each pair of two points. Report answers in simplest form.
(0,0) and (0.5,0.25)
m =
Answer: m=0.5 or m=1/2
Step-by-step explanation:
To find the slope, you use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Since we are given the coordinate points, we can directly plug them in.
[tex]m=\frac{0.25-0}{0.5-0} =\frac{0.25}{0.5} =0.5[/tex]
Find the area of the figure to the nearest square unit.
Answer:
357 mi²
Step-by-step explanation:
The shape is made of a triangle and a half-square
we will calculate the area of each one
The half square:let A1 be the area of the half-circle:
A1= (10²*π)/2 = 50π mi²
The rectangle:Let A2 be the area of the triangle:
A2= 10*20=200 mi²
The whole shape:let At be the total area:
At =A1+A2= 200+50π =357.07≈ 357 mi²
hi i will give 50 POINTS and BRAINLIEST to whoever answers this question
Answer:
[tex]\boxed{4 : 1}[/tex]
Step-by-step explanation:
Colored Fabric = 48 mm
White Fabric = 1.2 cm
Ratio of white fabric to colored fabric is:
48 mm : 1.2 cm
To express any ratio, we need to equalize the units ( 1 cm = 10 mm)
=> 48 mm : 12 mm
÷12 ÷12
=> 4 : 1
Answer:
Ratio of white:coloured = 1 : 4
Step-by-step explanation:
48mm coloured : 1.2 cm white
48mm coloured : 12 mm white
Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Order is important, so
WHITE : COLOURED
= 12 : 48 ...............................simplify
= 1 : 4
7. Consider the function g(x) = x^2 + 6x + 5. Now consider the quadratic function h(x), which has values given in the table of values below. Which function has a greater y-intercept?
Answer:
h(X) has a greater y-intercept.Option C is the correct option
Step-by-step explanation:
The y-intercept is the value of the function where X is 0. For g(X) , y-intercept is 5 while the y-intercept of h(X) is 9.
So, h(X) has a greater y-intercept.
Hope this helps...
Good luck on your assignment..
Answer:
h(x) has a greater y-intercept.
Step-by-step explanation:
The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information? The volume of the triangular prism is half the volume of the cylinder. The volume of the triangular prism is twice the volume of the cylinder. The volume of the triangular prism is equal to the volume of the cylinder. The volume of the triangular prism is not equal to the volume of the cylinder.
Answer:
The correct answer is:
The volume of the triangular prism is equal to the volume of the cylinder
Step-by-step explanation:
Given that there are two figures
1. A right triangular prism and
2. Right cylinder
Area of cross section of prism is equal to Area of cross section of cylinder.
Let this value be A.
Also given that Height of prism = Height of cylinder = 6
Volume of a prism is given as:
[tex]V_{Prism} = \text{Area of cross section} \times Height[/tex]
[tex]V_{Prism} = A \times 6 ........ (1)[/tex]
Cross section of cylinder is a circle.
Area of circle is given as: [tex]\pi r^{2}[/tex]
Area of cross section, A = [tex]\pi r^{2}[/tex]
Volume of cylinder is given as:
[tex]V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)[/tex]
From equations (1) and (2) we can see that
[tex]V_{Prism}=V_{Cylinder}[/tex]
Hence, the correct answer is:
Volume of prism is equal to the volume of cylinder.
Answer:
the answer is C for short
Could someone answer the question with the photo linked below? Then explain how to solve it?
Answer:
c = √130Step-by-step explanation:
To solve for c we use the formula for Pythagoras theorem
That's
a² = b² + c²
Where a is the hypotenuse
From the question above
c is the hypotenuse
So we have
c² = 9² + 7²
c ² = 81 + 49
c² = 130
Find the square root of both sides
c = √130Hope this helps you
Answer:
c=√130
Step-by-step explanation:
In order to solve this question, you have to know the Pythagorean Theorem. The Pythagorean Theorem uses this equation: a^2 + b^2 = c^2. The letters indicate one side of the triangle, but c is always the longest side of the triangle, or the hypotenuse. In the image, both of the triangles are the same size so we basically just have to solve for one. We plug in 9 for a and 7 for b in our equation we just learned.
a^2 + b^2 = c^2
9^2 + 7^2 = c^2
We have to square the 9 and 7. In order to do that, we just multiply 9 by itself, and 7 by itself (9*9, 7*7), because the small number on the right corner tells you how many times you have to multiply that number.
81 + 49 = c^2
Now we add them together and we get:
81 + 49 = 130
130 is our c^2, and that number goes into the green box in the image. The actual number is very long so we just use this number for your answer! Hope this helps :)
Form three equations starting with x=1/2
Answer:
Step-by-step explanation:
x - 1/2 =0
2x = 1
4x = 2
Answer:
x + 3 = 7/2
100x = 50
16/x = 24
Step-by-step explanation:
The value of x is 1/2 in the three equations.
(+3
+(+2)
help me with directed numbers pls
Answer:
5
Step-by-step explanation:
(+3 + (+2))
Remove the brackets.
3 + (+2)
3 + 2
Add the numbers.
= 5
Answer:
+5 or 5
Step-by-step explanation:
(+3)+(+2)
=> According to the rule, ( + )( + ) = ( + )
So,
=> +3+2
=> +5
A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many different special pizzas
are possible.
Answer: 1,365 possible special pizzas
Step-by-step explanation:
For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.
15 * 14 * 13 * 12 = 32,760
Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.
4 * 3 * 2 * 1 = 24
32,760 / 24 = 1,365
There are 1,365 possible special pizzas
Using the combination principle, the number of special pizzas from which to choose from is 1365
Total number of toppings to choose from = 15 Number of topping on a special pizza = 4Using Combination :
nCr = [(n! ÷ (n - r)! r!)]
15C4 = [(15! ÷ (15 - 4)! 4!)]
15C4 = [(15! ÷ 11!4!)]
15C4 = (15 × 14 × 13 × 12) ÷ (4 × 3 × 2 × 1)
15C4 = 32760 / 24
15C4 = 1365
Therefore, 1365 different special pizzas can be made.
Learn more : https://brainly.com/question/19120549
A transformation of ΔSTV results in ΔUTV. 2 triangles are connected at their base. Both triangles have identical side lengths and angle measures. Which transformation maps the pre-image to the image? dilation reflection rotation translation
Answer:
the answer is reflection
Step-by-step explanation:
i took edg
The transformation maps the pre- image to image by reflection.
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
Given:
A transformation of ΔSTV results in ΔUTV.
As, both the triangles are connected to the base and having identical side length and angle measure.
So, here the transformation is refection.
Learn more about transformation here:
https://brainly.com/question/11709244
#SPJ2
a solution to the inequality 3.75 – 3x ≤ 6.
Answer:
x ≥ -0.75
Step-by-step explanation:
3.75 - 3x ≤ 6
Subtract 3.75 on both sides.
- 3x ≤ 6 - 3.75
- 3x ≤ 2.25
Divide both sides with -3.
x ≥ 2.25/-3
x ≥ -0.75
Answer:
x [tex]\geq[/tex] -0.75
Step-by-step explanation:
3.75 - 3x [tex]\leq \\[/tex] 6
1. Subtract 3.75 from both sides.
3.75 - 3x - 3.75 [tex]\leq \\[/tex] 6 - 3.75
2. Simplify.
-3x [tex]\leq \\[/tex] 2.25
3. Multiply both sides by -1.
(-3x)(-1) [tex]\geq[/tex] 2.25(-1)
4. Simplify.
3x [tex]\geq[/tex] -2.25
5. Divide both sides by 3.
3x/3 [tex]\geq[/tex] -2.25/3
6. Simply.
x [tex]\geq[/tex] -0.75
What is the height of the triangle?
Triangle MNO is an equilateral triangle with sides
measuring 16V3 units.
O 12 units
N
0 24 units
VX
0 36 units
16/3
16/3
O 72 units
M
O
R
16/3
->
Answer:
(B)24 Units
Step-by-step explanation:
Triangle MNO is an equilateral triangle with sides measuring [tex]16\sqrt{3}[/tex] units.
The height divides the base into two equal parts of lengths [tex]8\sqrt{3}[/tex] units.
As seen in the diagram, we have a right triangle where the:
Hypotenuse = [tex]16\sqrt{3}[/tex] units.Base = [tex]8\sqrt{3}[/tex] units.Using Pythagoras Theorem
[tex](16\sqrt{3})^2=(8\sqrt{3})^2+h^2\\16^2*3-8^2*3=h^2\\h^2=576\\h=\sqrt{576}\\ h=24$ units[/tex]
The height of the triangle is 24 Units.
The height of the given equilateral triangle is gotten as;
B: 24 units
Equilateral Triangles
The height of an equilateral triangle starts from the mid - point of the base to the ap ex.
Now, if the sides of the equilateral triangle are 16√3 units, then it means we can use pythagorean theorem to find the height h.
Half of the base will be; ¹/₂ * 16√3 = 8√3
Thus, the height h can be calculated from;
h²= ((16√3)² - (8√3)²)
h² = 3(256 - 64)
h² = 576
h = √576
h = 24 units
Read more about equilateral triangles at; https://brainly.com/question/4293152
The mean and standard deviation of a random sample of n measurements are equal to 34.5 and 3.4, respectively.A. Find a 95 % confidence interval for μ if n=49.B. Find a 95% confidence interval for μ if n=196.C. Find the widths of the confidence intervals found in parts a and b.D. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?1. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.2. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.3. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the on confidence interval by a factor of 4.4. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.5. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
Answer:
a. The 95% confidence interval for the mean is (33.52, 35.48).
b. The 95% confidence interval for the mean is (34.02, 34.98).
c. n=49 ⇒ Width = 1.95
n=196 ⇒ Width = 0.96
Note: it should be a factor of 2 between the widths, but the different degrees of freedom affects the critical value for each interval, as the sample size is different. It the population standard deviation had been used, the factor would have been exactly 2.
d. 5. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
Step-by-step explanation:
a. We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=34.5.
The sample size is N=49.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.4}{\sqrt{49}}=\dfrac{3.4}{7}=0.486[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=49-1=48[/tex]
The t-value for a 95% confidence interval and 48 degrees of freedom is t=2.011.
The margin of error (MOE) can be calculated as:
[tex]MOE=t\cdot s_M=2.011 \cdot 0.486=0.98[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M-t \cdot s_M = 34.5-0.98=33.52\\\\UL=M+t \cdot s_M = 34.5+0.98=35.48[/tex]
The 95% confidence interval for the mean is (33.52, 35.48).
b. We have to calculate a 95% confidence interval for the mean.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3.4}{\sqrt{196}}=\dfrac{3.4}{14}=0.243[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=196-1=195[/tex]
The t-value for a 95% confidence interval and 195 degrees of freedom is t=1.972.
The margin of error (MOE) can be calculated as:
[tex]MOE=t\cdot s_M=1.972 \cdot 0.243=0.48[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M-t \cdot s_M = 34.5-0.48=34.02\\\\UL=M+t \cdot s_M = 34.5+0.48=34.98[/tex]
The 95% confidence interval for the mean is (34.02, 34.98).
c. The width of the intervals is:
[tex]n=49\rightarrow UL-LL=33.52-35.48=1.95\\\\n=196\rightarrow UL-LL=34.02-34.98=0.96[/tex]
d. The width of the intervals is decreased by a factor of √4=2 when the sample size is quadrupled, while the others factors are fixed.
For what values of x is the expression below defined?
Look at the picture(15 points)
Answer:
D. -5 <= x < 1
Step-by-step explanation:
the values under the square-root radical must not be negative, AND
the value of the denominator must not be 0 or negative
x+5 >=0 or x >= -5
and 1-x > 0 or x < 1
So the answer is -5 <= x < 1
Solve (x-3)^2 =5 completing the square
Answer:
x = 3 ± √5
Step-by-step explanation:
The expression (x - 3)² = 5 doesn't need completing the square to solve (this is the step after you finish completing the square):
Step 1: Square root both sides
x - 3 = ±√5
Step 2: Add 3 to both sides
x = 3 ± √5 = 0.76392, 5.23607
Step-by-step explanation:
There are two ways to solve this equation for x
Either you develop (x-3)^2 and then solve the quadratic equation
Or you can solve it this way :
(X-3)^2= 5
x-3 = + or - root square 5
So x = 3+ or - root square 5
a piece of rope is 40 feet long it is cut into three pieces. One piece is 25 feet longer than the shortest piece. The third piece is three times as long as the shortest piece find the length of the third piece?
Answer:
9 ft
Step-by-step explanation:
Let x represent the shortest piece. Then the sum of lengths is ...
x + (x +25) +3x = 40
5x = 15
x = 3
3x = 9
The third piece is 9 feet long.
_____
Check
The pieces are 3 ft, 28 ft, 9 ft, so total 40 ft, as required.
find the greatest number that divides 36 and 60 without leaving a remainder
Answer:
12
Step-by-step explanation:
36= 2 × 2 × 3 × 3
60= 2 × 2 × 3 × 5
HCF(36, 60)= 2 × 2 × 3 = 12
12 is the greatest number that divides 36 and 60 without leaving a remainder
A regression equation is determined that describes the relationship between average January temperature (degrees Fahrenheit) and geographic latitude, based on a random sample of cities in the United States. The equation is: Temperature = 110 ‑ 2(Latitude). How does the estimated temperature change when latitude is increased by one?
Answer:
Decreases by 2 degrees
Step-by-step explanation:
The expression that describes temperature as a function of latitude is:
[tex]T=110-2(Latitude)[/tex]
This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.
A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below.
Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
Required:
a. Is there evidence to suggest the logic course improves abstract reasoning?
b. Construct a 95% confidence interval for the mean difference between the before and after scores.
Answer:
don't know
Step-by-step explanation:
sorry buddy
7. Look at the figure below.
Which theorem can be used to show that triangles QSN and LEJ are congruent?
A. HL
B. ASA
C. SAS
D. SSA
I'm pretty sure that ' HL ' stands for "hypotenuse and leg". That's the one.
-- We see the little boxes in the lower left corners, so we know that these are right triangles, and we can use the rules we know about for right triangles.
-- The hypotenuses of both triangles are marked with the same length.
-- The base legs of both triangles are marked with the same length.
-- So we have (the hypotenuse and one leg of one right triangle) equal to (the hypotenuse and corresponding leg of another right triangle). That's exactly the description of the HL conguence theorem, so we know that these two triangles are congruent.
Find the first five terms of the sequence described. a1=3, an+1=an+5
Answer:
3, 8, 13, 18, 23
Step-by-step explanation:
The recursive definition tells you the first term is 3, and that each successive term is 5 more than the one before. 5 terms are ...
3, 8, 13, 18, 23
The number of rooms in hotel G is 10 less than twice the number of rooms in hotel H .The total number of rooms in both hotels is 425 .Find the number of rooms in each of the hotels.
Answer:
No of rooms in Hotel G = 280
No of rooms in Hotel H = 145
Step-by-step explanation:
I solved the question using Elimination Method.
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. Create a 90% confidence interval for the proportion of fans who bought food from the concession stand. Use a TI-83, TI-83 plus, or TI-84 calculator, rounding your answers to three decimal places.
Answer:
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
Step-by-step explanation:
Step(i):-
Given sample size 'n' =300
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
Given sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{182}{300} =0.606[/tex]
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
90% confidence interval for the proportion is determined by
[tex](p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })[/tex]
[tex](0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })[/tex]
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
final answer:-
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
solve each question by graphing. round to the nearest tenth
2x^2 + 5 = 11x
Answer: x=5 and 1/2
Step-by-step explanation:
You have to go to a graph and put it simply it, makes it a lot easier, hope this helps!
Steps to solve:
2x^2 + 5 = 11x
~Subtract 11x to both sides
2x^2 - 11x + 5 = 0
~Factor
(2x - 1)(x - 5) = 0
~Solve each factor
2x - 1 = 0
2x = 1
x = 1/2
x - 5 = 0
x = 5
Best of Luck!