Answers
Given:
in rectangle ABCD, BE = 3x + 5, AC = 40
To find:
X = ?
Solution:
AC = BD - Diagonal of rectangle are always equal
now BD = 40 units .....( i )
BE = ED, the diagonal of rectangle bisect each other in equal half
now, BD = BE + BD ...( ii )
BD = BE +BE from ..( ii )
40 = 2BE
BE = 20
3x + 5 = 20 ... from given
3x = 15
x= 5
Answer- The value of x is 5 units
Thanks for using brainly community!
Related Questions
round 1021.857923 to 3 significant figures
Answers
Answer:
Step-by-step explanation:
102
Given: x-8 > -3.
Choose the solution set.
{xIXER, x>-5)
{xIXER, x>-9)
{xIXER, x>5}
{xIXER, x> 14}
Answers
Answer:
X>8-3
X>5
So choose the third one
Step-by-step explanation:
Answer:
x-8>-3
x>-3+8
x>5
because in 2 step + - = - but the sign should use of greater number so in last step the value of 5 is + .
BRAINLY IF YOU GOT IT RIGHT !!!!!!!!!!!!!!!!!!!!!
the function y=0.45x+8.8 expresses the linear relationship displayed by the scatter plot. Calculate the residual value for x=12.
Answers
Answer:
14.2
Step-by-step explanation:
So this is just filling in x with the number you are given so instead of y=0.45x+8.8 you fill in the x=12 to get 0.45*12+8.8 and then its just multiplication and addition.
0.45*12=5.4
5.4+8.8=14.2
Answer 14.2
Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0
Answers
Answer:
discriminant is b²-4ac
= 2²-4(-8)(0)
= 0
one solution
hope this helps :)
Help 25 points for all
Answers
Answer:
thank you
Step-by-step explanation:
gracias
if the work remaining is greater than the time remaining, the critical ratio (cr) will be group of answer choices less than one. greater than one. none of these answer choices is correct. equal to one.
Answers
The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.
In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI
To read more about critical ratio, visit https://brainly.com/question/29574348
#SPJ4
help me now!! help help help
Answers
Step-by-step explanation:
sum of interior angle sum of each angle
1) 720 120
2)360 90
3)540 108
(2)
a) a=360-90-90-122
a=58
b) b=360-100-95-35
b=130
c) c=720-140-110-110-125-139
c=105
d) 2d=540-80-90-90
2d=280
d= 140
3) 5(360/5)
=360
4) y=90+90-122
y=58
x=360-117-66-58
x=119
plz help with this 2nd one.
Answers
Answer:
-4
Step-by-step explanation:
5-2=3
3/3=1
1-5= -4
Answer:
the x = -4, just because
3(x+5)+2=5, so 3x+15+2=5 then 3x=-12. x=-12/3
An analytical chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, but the mean of all dosages produced should be 8 mg. In 25 random dosages, the mean amount of active ingredient is 10.3 mg and the standard deviation is 2 mg. Do the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg? (Use 1 % significance level).
Let μ be the population mean of the active ingredient (in mg)
(A) Set up the null- and alternative hypothesis.
(B) Compute the value of the test statistic. (Include the formula and show all work).
(C) Determine the critical value or the p-value.
(D) State your conclusion in practical terms. (Not just reject or fail to reject).
Answers
A) H0: μ = 8mg, Ha: μ ≠8mg.
B) \(t = (x̄ - μ) / (s / sqrt(n)) = (10.3 - 8) / (2 / sqrt(25)) = 5.5\).
C) Degrees of freedom = n - 1 = 24, two-tailed t-test, α = 0.01, critical values are ±2.492. p-value < 0.01.
D) We reject the null hypothesis and conclude that there is strong evidence that the mean amount of active ingredient in all dosages produced is different from 8 mg. The sample mean is significantly higher than 8 mg, indicating that the production process needs improvement.
(A) The null hypothesis is that the population mean of the active ingredient is equal to 8 mg, while the alternative hypothesis is that it is different from 8 mg. In symbols, H0: μ = 8 vs. Ha: μ ≠8.
(B) We apply the t-test formula to determine the value for the test statistic:
\(t = (xbar - μ) / (s / sqrt(n))\)
where Î14 is the estimated population mean, n is the number of samples size, x bar represents the sample mean, and s is the standard deviation of the sample. Plugging in the values from the problem, we get:
\(t = (10.3 - 8) / (2 / sqrt(25)) = 3.25\)
(C) To determine the critical value or the p-value, we look up the t-distribution with 24 degrees of freedom ( df = n - 1) and a two-tailed significance level of 0.01. The critical values are ±2.492, while the p-value is less than 0.01.
(D) Based on the results, we reject the null hypothesis and conclude that the mean amount of active ingredient in all dosages produced is different from 8 mg at the 1% significance level. In practical terms, this means that the drug production process needs to be investigated and improved to ensure that the correct amount of active ingredient is consistently delivered in each dosage.
To know more about mean visit :
https://brainly.com/question/30727743
#SPJ4
In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?
15
17
16
13
Answers
Answer:
17
Step 1: rerrange the data
8 , 10, 12, 14, 17, 19, 19, 22, 24
Q2 is the median
see that the middle number is 17
a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the correct null hypothesis for this problem is
Answers
The correct null hypothesis for the given problem is \(H_0\) : μ = 8000.
To obtain the correct null hypothesis for the given problem, follow the given below steps:
Firstly, recall that the null hypothesis ( \(H_0\) ) is a statistical assumption used in hypothesis testing.
It is a statement that is assumed to be true until it is proven false by the alternative hypothesis.
Secondly, recall that the null hypothesis is the opposite of the alternative hypothesis (\(H_1\)), which is the statement that researchers want to prove to be true.
Thirdly, recall that the null hypothesis for a population mean is as follows:
\(H_0\) : μ = \(\mu_o\)
where μ represents the population mean and
\(\mu_o\) represents the hypothesized population mean.
Therefore, for the given problem, the correct null hypothesis is:
\(H_0\) : μ = 8000.
for such more question on null hypothesis
https://brainly.com/question/25263462
#SPJ11
A player threw a ball from point P to 3rd Base. How far did the player throw the ball? Round the answer to the nearest foot.A).210ftB).150ftC).127ftD).79ft
Answers
Answer:
B).150ft
Explanation:
The distance from homeplate to 1st Base = 90 feet
Therefore: distance from homeplate to point P is:
\(90+30=120ft\)The distance from homeplate to 3rd base is 90 feet.
We see that the problem forms a right-triangle where the distance from point P to 3rd Base is the Hypotenuse.
Using Pythagoras Theorem:
\(\begin{gathered} \text{Distance}^2=120^2+90^2 \\ Dis\tan ce=\sqrt[]{120^2+90^2} \\ =\sqrt[]{22500^{}} \\ =150ft \end{gathered}\)The player threw the ball a distance of 150 feet.
a globe that is 3 ft tall casts a shadow that is 7 ft long.find the length of the shadow that a 6ft woman casts
Answers
The length of the shadow of 6 ft woman will be equal to 14 ft.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
Size of the globe = 3 ft.
Size of the shadow of the globe = 7 ft
Height of woman = 6 ft
Let the shadow of woman = x ft.
3 ft = 7 ft
6ft = x ft
Use cross-multiplication method,
x = (6 × 7)/3
x = 2 × 7
x = 14 ft.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
You are going on vacation with your family to the beach. You already spent $160
on groceries for the week, and you know that each time you eat out you will spend another $40
.
Answers
Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.
For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.
To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.
Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:
Total spent on eating out = $40 * x
Adding this to the amount spent on groceries, the total vacation budget can be calculated as:
Total budget = Amount spent on groceries + Total spent on eating out
Total budget = $160 + ($40 * x)
For example, if you plan to eat out 3 times during the week, the calculation would be:
Total budget = $160 + ($40 * 3)
Total budget = $160 + $120
Total budget = $280
In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.
The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.
for more such question on linear equation visit
https://brainly.com/question/28732353
#SPJ8
Solve the compound inequality. 5x – 11 < –11 or 4x + 2 > 14
Answers
Answer:
5x-11<-11
group like terms
5x<11+11
5x<22
divide both sides by 5
Please help me out! Hope you are having a good day
Answers
Answer:
Fraction: x= 5/6 Decimal: x= 0.83
help rn please im failing hard
Answers
Answer:
a = -40/3
Step-by-step explanation:
(7a - 4) = (4a - 44)
7a - 4 = 4a - 44
7a = 4a - 44 + 4
7a = 4a - 40
7a - 4a = - 40
3a = - 40
3a/3 = -40/3
a = -40/3 or -13.3333 repeating
1 1/2 divided by 2 2/3
CAN SOMEONE PLEASE HELP ME
Answers
Answer : 9/16
so sorry if I’m wrong
I don't understand.
Answers
Answer:
symmetric is the answerAnswer:
the second choice took the test
Explain how you can find the remaining angle in the triangle below. SOLVE for the remaining angle.
Answers
Answer:
Since we are given 2 angles out of three we can just find the last one from subtracting 90 and 53 from 180, this is simple second grade math so do that subtracting youself
Step-by-step explanation:
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30. The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (3) minus 6 = negative 42. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (negative 2) minus 6 = 18. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (1) minus 6 = negative 18
Answers
Answer:
Yes, the expressions are equivalent
Step-by-step explanation:
Let's check it out:
=> -3x(5-4)+3(x-6)
Expanding brackets using distributive property.
=> -15x+12+3x-18
Combining like terms
=> -15x+3x+12-18
=> -12x-6
Yes, the expression is equivalent to -12x-6
Answer:
its A
Step-by-step explanation:
i took the test
Three pumpkins makes 7 pies. How many pumpkin it take to make one pie
Answers
7 pies = 3 pumpkin
1 pie = (1/7) × 3
= 0.43 pumpkin
If c is a number with no exponent, what is the value of c in the equation below?
4^7/4^3 = a^b=c
Answers
Answer:
c = 256
Step-by-step explanation:
Good Luck :)
Anyone smart enough to do this
Answers
Answer: B and F I believe
Step-by-step explanation:
Larry ran 4/5 of the way around the track before slowing down to a walk. What percent of the track did he run? *
Answers
Answer:
80%
Step-by-step explanation:
4 divided by 5 = 0.8
0.8 x 100 = 80%
The percentage Larry ran around the track = 80%
He ran 4/5 of the way around the track before slowing down for a walk.
This means he ran 4 parts of the whole 5 parts of the track. He walks the remaining 1 part around the track.
Therefore, the percentage he ran can be calculated below
% he ran the track = 4 / 5 of 100
% he ran the track = 4 / 5 × 100 = 400 / 5 = 80%
The percentage he ran around the track = 80%
Read more : https://brainly.com/question/2420956?referrer=searchResults
If a number has a repeating pattern does that mean it’s rational ?
Answers
For example, 0.56565656... is equivalent to 56/99
Any time you have a repeating pattern in the decimal digits, the number can be written as a fraction of two integers. Any repeating decimal is rational.
Find all positive integers less than 100 whose 762nd power ends in the digits "41"
Answers
Answer:
21, 29, 71, 79
Step-by-step explanation:
Only integers ending in 1, 3, 7, or 9 have powers that end in 1. For the numbers so ending, their sequences of powers mod 100 have a repeat length that is a divisor of 20. That is, raising any of these numbers to the 762nd power mod 100 is equivalent to squaring them, mod 100.
For example, the powers of 29 mod 100 are, beginning with the first power, ...
{29, 41, 89, 81, 49, 21, 9, 61, 69, 1}
This sequence is of length 10, typical of many of the numbers ending in 1, 3, 7, or 9.
The only positive integers less than 100 whose squares end in 41 are ...
21, 29, 71, 79 . . . . . positive integers < 100 satisfying n^762 mod 100 = 41
Calculate the radius of curvature (in cm) of a lens with a focal distance of 4 cm and refractive index of 1.4.
Answers
The radius of curvature of the lens is = 8cm
Calculation of radius of curvatureThe radius of curvature is defined as the radius of the circle that is made by a spherical mirror or lens.
The focal length is defined as the distance between the point of convergence of your lens and the sensor
The refractive index is the measure of bending of a light ray when passing from one medium to another.
The relationship between focal length and radius of curvature is that R=2f
Where R = radius of curvature
f= Focal length
Therefore, radius of curvature = 2×4 =8cm
Learn more about lens here:
https://brainly.com/question/9757866
#SPJ4
i’ll mark you brainliest
Answers
Answer:
thanks and it is 25
there are 4 prime numbers in the spinner
A 100% = 4
? = what about
100×1/4
= 25%
Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Answers
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1