Answer:
BD = 4
Step-by-step explanation:
∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.
Therefore:
BD = CD
3x + 1 = 5x - 1 (substitution)
Collect like terms
3x - 5x = -1 - 1
-2x = -2
Divide both sides by -2
x = -2/-2
x = 1
✔️BD = 3x + 1
Plug in the value of x
BD = 3(1) + 1
BD = 3 + 1
BD = 4
What is an LMS Update in FLVS
LMS: Learning management systems
Answer: LMS
Step-by-step explanation:
Last Monthly Sign-in
What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the nearest hundredth when necessary.
Answer: 904.32 cubic units.
Step-by-step explanation:
The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]
Substitute pi for 3.14 and radius for 6. 6^3 = 216
[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]
Multiply them together, the answer is 904.32 cubic units.
HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure
Which figure where is the figure
Help me with 15 :)plz
How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest
Answer:
T=2 years.hope it will help u.
I need help with this geometry question guyss!!
Answer:
Step-by-step explanation:
If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
Find out more at: https://brainly.com/question/15016913
Please help it’s pretty easy and I’ll reward brainiest
What is the approximate area inside the rectangle but
outside the semicircle?
Answer:
128 - 32pi
OR
27.469
Step-by-step explanation:
The area of the rectange is 8 x 16 = 128
The area of the semicircle is pi * 8^2 divided by 2
(pi * 8^2)/2
(pi * 64)/2
pi * 32
So the area of the rectangle outside the semicircle is: 128 - 32pi
In approximate form it is: 27.469
pls just look at the pic to find the question
What is the approximate area of the figure below?
Answer:
96
Step-by-step explanation:
plzzzzz help me plz plz plz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 11.52
Explanation:
1.28 x 9 = 11.52
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
whats an equivalent expression for 4 + 4n
Answer:
4(1+n)
Step-by-step explanation:
4+4n
4+4n
Factor the polynomial 4+4n by it's GCF: 4
4\left(1+n\right)
4(1+n)
What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Question 5 options:
Linear
Exponential
Quadratic
Answer:
linear
Step-by-step explanation:
A train travels 240 miles in 6 hours, moving at a constant speed.
How long will it take the train to travel 360 miles at this speed?
1.5 hours
2.5 hours
9 hours
O 60 hours
CAN SOMEONE HELP ME PLS
Answer:
Step-by-step explanation:
speed = 240 miles/(6 hours) = 40 miles/hour
360 miles × 1 hour/(40 miles) = 9 hours
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Answer:
$14,000
Step-by-step explanation:
i need helpon this
please
help meeeeeee its all due toad
Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.
solve for x please help asap! 20 points
Answer:
25x-21 would be my best guess!
F(x)=x^2+1 what is f(f(x))?
Answer:
Answer
Find out f(f(x)) .
To prove
As given in the question
f(x) = x² + 1
Now
f(f(x)) = f (x² + 1)
Now find out the value of f (x² + 1).
f(f(x)) = f (x² + 1)
= (x² + 1)² + 1
Using formula
(a + b)² = a² + b² + 2ab
Apply in the above function
f(f(x)) = (x² + 1)² + 1
f(f(x)) = [tex]x^{4}[/tex] + 1 + [tex]2x^{2}[/tex] + 1
Simplify
f(f(x)) = [tex]x^{4}[/tex] + [tex]2x^{2}[/tex] + 2
Thus the value of f(f(x)) is: f(f(x)) = [tex]x^{4}[/tex] + [tex]2x^{2}[/tex] + 2
Step-by-step explanation:
what is the slope of the line passing through po bye A and B?
Geometry Question, Need help. Will give brainliest.
Answer:
i cant see the direction sorry :(
Step-by-step explanation:
can someone please help me with this? i don’t understand. thank you!
Step-by-step explanation:
Mr. Lau works at a bicycle factory. He gets a half-hour lunch break. If he goes to lunch at 12:32, at what time does he need to be back?
Answer:
1:02
Step-by-step explanation:
There are 30 minutes in a half-hour, so add this to the time he left:
12:32 + 30 mins
= 1:02
He will need to be back at 1:02
Solve using the linear combination method.
4x - 3y = 26
3x + 2y = 11
Answer: X= 5
Step-by-step explanation:
I think that's the answer your looking for??
Buffer stock is the level of stock
Answer:
akuy3uwujwu
Step-by-step explanation:
uwoedihwo
Answer:
Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.
HOPE IT HELPS...
HAVE A GREAT DAY : P
En una habitación del Grand Hotel de Indianápolis se pueden hospedar un máximo de 2 personas. Si el hotel cuenta con 12 pisos y cada piso con 12 habitaciones. ¿Cuántas personas pueden hospedarse en el hotel al no haber vacantes?
Answer:
la solucion es 288
Step-by-step explanation:
porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.
espero que esto ayude!!
What is the area of an equilateral triangle with sides of length 20?
Answer:
173.2
Step-by-step explanation:
area of equilateral triangle = √3 / 4 l^2
so area =173.2
Please help me I don’t understand
Answer:
x = 25
Step-by-step explanation:
By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,
Thus, we come to the conclusion that 2x + 3 = 53
x = 25