If the scale factor between trapezoid ABCD and trapezoid is GHIJ is 2, how many feet will side GJ be?
Kindly find required figure in the picture attached below :
Answer:
14 feets
Step-by-step explanation:
From Trapezoid ABCD ;
The longer base, AD = 7 feets
Shorter Base ; BC = 5 feets
The Trapezoid GHIJ
Shorter Base = HI
Longer base = GJ
Given that the scale factor between ABCD and GHIJ is 2 ; then
GJ is similar to AD
Hence, side GJ = 2 * length of AD
GJ = 2 * 7 = 14 feets
Any one know???????????
3. The yearly profits of a company is $5,000. The profits have been decreasing by 6% per year.
a). Write an exponential decay function to represent this situation.
b). What will be the profits in 8 years? Round your answer to the nearest dollar.
10 Points question
Answer:
5000 X (0.96)^n
$3607
Step-by-step explanation:
Profit decreases at a rate of 6% per year = 100 - 6 = 96%
In year 1, profit would be = 5000 x 0.96 = 4800
In year 2 = 5000 x 0.96^2 =
5000 X (0.96)^n
5000 X (0.96)^8 = $3607
Help meeeeeeee!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
If u add the values of the dots on set A it would be greater than set B.
A new test is developed to test for a certain allergy, giving "positive" or "negative" results to indicate that a person does or does not have the allergy. For a person who has the allergy, the test will give a positive result 82% of the time and a negative result (false negative) 18% of the time. For a person who does not have the allergy, the test will give a positive result (false positive) 10% of the time and a negative result 90% of the time. A study included a population of 10,000 people, and 1% of those studied where known to have the allergy. Fill in the missing values in the table below, and complete the statements that follow. Round the percentage to the nearest tenth, if necessary.
Answer:
the first blank is 82, the second blank is 8,910. I got that third blank wrong and it should be 7.1 I think. and the last block is should not. to find the third box all you need to do is:82+990=1,072 then divide 82 by 1,072 and round to the nearest tenthAnswer:
828,9107.6Should notHelp I don’t understand this appreciate any help
Use the exterior angle theorem to find the value of x in the triangle below.
A
x = 7
B
x = 5
C
x = 12
D
x = 15
Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
The vertex of a quadratic function is (5,-6), what is the equation of the axis of symmetry in this function?
Answer:
x = 5
Step-by-step explanation:
A quadratic equation:
f(x) = y = a*x^2 + b*x + c
Has a vertex in a point:
(h, k) such that:
h = -b/2a
and:
k = f(-b/2a)
And the axis of symmetry (this is the line that cuts the graph in two halves) is:
x = h.
In this case, the vertex is (5, -6)
Then the axis of symmetry is:
x = 5.
PLS HELP ITS TIMED TYSM!!!
Q4. Which system of inequalities describes the graph?
Answer:
Step-by-step explanation:
Solve n/3+ (-4) = -2. Plz im in an exam
finding probability
.
.
Answer:
Hello! answer: 6
Hope that helps!
PLS HELP ASAP I WILL GIVE BRAINLIEST
Find the equation of a parabola with focus (4,0) and vertex
at the origin.
[tex]y {2} = 16x[/tex]
The above is the equation of the parabola and the steps to solve it.
I drank three cups of 2% milk yesterday. Each cup of milk provided 122 calories. How many calories did I get from the three cups of milk?
Answer:
366 calories
Step-by-step explanation:
122 * 3 = 366
Suppose that among all U.S. Students, 80% have gone to an amusement park and 45% have gone to a beach. Only 15% have done neither. If you select a student at random, what is the probability that the student has gone to the beach but not to an amusement park
Answer:
5%
Step-by-step explanation:
Let x represent the percentage of people that have gone to both the park and the beach.
The percentage of people that have gone only to the amusement park = 80% - x% = 80 - x
The percentage of people that have gone only to the beach = 45% - x% = 45 - x
Therefore:
100% = (80 - x) + (45 - x) + (x) + (15)
100 = 80 + 45 + 15 -x - x + x
100 = 140 - x
x = 140 - 100
x = 40%
Therefore 40% of the students have gone to both the park and the beach.
The probability that the student has gone to the beach but not to an amusement park = 45% - 40% = 5%
Help me pleaseeee with this question
Answer:
B. 7
Step-by-step explanation:
Count every number less than 70 (count the leaf plot numbers if that helps).
62,62,63,64,54,56,56 = 7 drivers that travel less than 70 mph
NEED HELP ASAP TAKING TEST A refrigeration unit at a restaurant is supposed to be kept at 40°F. An inspector would like to test the hypotheses H Subscript 0 Baseline: mu = 40 versus H Subscript alpha Baseline: mu not-equals40 where μ = the true mean temperature for all times of the day. A 98% confidence interval based upon a random sample of 40 temperatures is 40.5 degrees to 42.1 degrees. Using the interval, what decision should be made?
The null hypothesis should be rejected at the Alpha = 0.01 level.
The null hypothesis should be rejected at the Alpha = 0.02 level.
The null hypothesis should not be rejected at the Alpha = 0.05 level.
The null hypothesis should not be rejected at the Alpha = 0.10 level.
Answer:
,, the null hypothesis should be rejected at the alpha equals 0.02 level
(5/10)^4 in exponential form
Answer:
[tex] 6.25 \times {10}^{ - 2} [/tex]
Step-by-step explanation:
[tex] { \bigg( \frac{5}{10} \bigg) }^{4} \\ \\ = {(0.5)}^{4} \\ \\ = 0.0625 \\ \\ = 6.25 \times {10}^{ - 2} [/tex]
Answer:
6.25 x 10-2
Step-by-step explanation:
Use the exterior angle theorem to find the value of x in the triangle below.
A
x = 7
B
x = 5
C
x = 12
D
x = 15
Answer:
A) x = 7
Step-by-step explanation:
7x + 1 + 7x + 6 + (180 - 15x) = 180
combine like terms:
-x + 187 = 180
subtract 187 form both side of the equation:
-x = -7
x = 7
Please help im confused on the last question on my warm up!
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found that the
mean SAT score was 447 with a margin of error of 21. Write a confidence interval for
the true mean SAT score of the graduating high school seniors.
Answer:
(426 ; 468)
Step-by-step explanation:
Confidence interval :
Mean score ± margin of error
Margin of Error = 21
Mean SAT score = 447
Hence,
447 ± 21
Lower boundary = 447 - 21 = 426
Upper boundary = 447 + 21 = 468
(426 ; 468)
PLS HELP :(
Find the volume of the cone, round your answer to the nearest tenth. Use 3.14 for
7.
3
5
units
Answer: 47.1
Step-by-step explanation:
1/3πr^2h
=1/3×π×32×5
=15π
= 47.123889803847 feet3
can someone pls help i really don’t know what to do i keep getting it wrong i divide 12000 by 0.08 and get 150000 yet it’s still wrong SOMEONE ANYBODY PLSS HELPPP
Answer:
after tax the car is $12,960
Step-by-step explanation:
to find this first you need to find 8% of 12,000 which is 960
8/100 * 12,000/1=960
now add 960 to the original and that is your answer
Answer:
Step-by-step explanation:
Yes, the answer is 150000 , maybe its asking u to put it in some form.
85.000
/ 120.00
--------------
17200/0.08 (Plus The Sales Tax)
(21500)
The diameter, D, of a sphere is 16.6 m. Calculate the sphere's volume, V. Use the value 3.14 forn, and round your answer to the nearest tenth. (Do not round any intermediate computations.) 3 Х ?
Answer:
[tex]2395.1\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a sphere is given by [tex]4\pi r^3[/tex]. Since a radius is half a diameter, the radius of the sphere is [tex]\frac{16.6}{2}=8.3[/tex].
Substituting values, we have:
[tex]V=\frac{4}{3}\pi (8.3^3)\approx \boxed{2395.1}[/tex]
Clay surveys members of his class to find out how many televisions they have in their homes. The thirteen responses he received are shown in the table. Which statement is true?
A) The mean is less than the mode.
B) The mean is less than the range.
C) The mean is greater than the range.
D) The median is greater than the mode.
Answer:
B, the mean is less than the range
Step-by-step explanation:
mean is 3.38 (rounded)
mode is 3
median is 3
range is 5
The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]
The mean is 3.38 (rounded)
Median represents the middle value of the given data when arranged in a particular order.
So, the Median would be 3.
Mode is that number that appears most frequently in the given set of data.
So, the Mode would be 3.
The range of a given set of data is the difference between the largest value and the smallest value.
So, the range would be 5
Learn more about mean and median;
https://brainly.com/question/17060266
helppppp me its for a grde
Answer:
567.7
Step-by-step explanation:
This is the correct answer because 7.4 would be the radius & 9.9 would be the height.
V=πr2h
3=π·7.42·9.9
3≈567.7
Hope this helps please mark as brainliest! Thx!➕➖➗
-6=2(u+3)-5u pls help me with this
Answer:
u=3
Step-by-step explanation:
-6=2u+3-5u
-6=-3u+3
3u=6+3
3u=9
u=3
John ran the 200 meter dash and clocked the following times: 24.4, 27.2, 30.6, 24.1, 29.9, and 27.0. What was John's average time on the race?
Answer: 27.2
Step-by-step explanation: add up the values then divide by the amount of values (6)
Find cos B using SOHCAHTOA
Consider the equation: 5(3x - 9) = 2(6x + 9).
Part A
How many solutions will the equation have? Explain how you know.
Answer:
Photo math
Step-by-step explanation:
Get Photo math on your mobile device, it will give you the answer and explain it for free!