Answer:
Step-by-step explanation:
volume of pyramid with square base=a^2(h/3)
84=a^2*7/3
84*3/7=a^2
252/7=a^2
36=a^2
[tex]\sqrt{36[/tex]=a
6=a
therefore length=6
Confusion...help please
Given:
In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.
To find:
The length of the side KM to the nearest tenth of a centimeter.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle KLM,
[tex]\cos K=\dfrac{KM}{KL}[/tex]
[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]
[tex]0.819152=\dfrac{KM}{123}[/tex]
Multiply both sides by 123.
[tex]0.819152\times 123=KM[/tex]
[tex]100.755696=KM[/tex]
[tex]KM\approx 100.8[/tex]
The measure of side KM is 100.8 cm.
Therefore, the correct option is (2).
A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n = 44 windows yields a sample mean of 0.337 inch.
Required:
What is the probability of x >= 20.337 if the windows meet the standards?
Answer:
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
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 establishes 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.
The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch.
This means [tex]\mu = 0.325, \sigma = 0.065[/tex]
Sample of 44
This means that [tex]n = 44, s = \frac{0.065}{\sqrt{44}}[/tex]
What is the probability of x >= 0.337 if the windows meet the standards?
This is 1 subtracted by the p-value of Z when X = 0.337. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.337 - 0.325}{\frac{0.065}{\sqrt{44}}}[/tex]
[tex]Z = 1.225[/tex]
[tex]Z = 1.225[/tex] has a p-value of 0.8898
1 - 0.8898 = 0.1102
0.1102 = 11.02% probability of x >= 0.337 if the windows meet the standards.
Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)
Solve for x. 4(x - 1) + 3x = 31*
Answer:
x=5
Step-by-step explanation:
4(−1)+3=31
4−4+3=31
To which graph does the point (−1, 3) belong?
y ≥ 2x + 6
y ≥ 3x − 1
y ≥ −x + 4
y ≥ −2x + 5
Answer:
second option "y ≥ 3x − 1."
Step-by-step explanation:
Just solved it
What is the volume of a sphere with a surface area of 25pi / (d ^ 2)
Answer:
B. [tex] \frac{125}{6}* \pi [/tex] yd³
Step-by-step explanation:
Given:
Surface area of a sphere = 25π yd²
Required:
Volume
Solution:
Let's find the radius (r) first.
S.A of sphere = 4πr²
Substitute
25π = 4πr²
Divide both sides by 4π
25π/4π = r²
25/4 = r²
Take the square root of both sides
√25/√4 = r
5/2 = r
r = 5/2 yd
Find the Volume of the sphere
V = ⁴/3*πr³
V = ⁴/3*π*(⁵/2)³
V = ⁴/3*π*125/8
V = ⅓*π*125/2
V = [tex] \frac{1*125}{3*2}* \pi [/tex]
V = [tex] \frac{125}{6}* \pi [/tex] yd³
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
3v+2v–2v
A line segment's measurement(s) include which of the following?
Check all that apply.
A. None of these
B. Width
C. Height
D. Length
Answer:
D. Length
Step-by-step explanation:
We measure the length of a line segment, and thus, the correct answer is given by option D.
The length of a line segment is the distance between it's endpoints, using the formula for the distance between two points given below.
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find the value of x.
71
O
(16x-2)
x=
Answer:
x = 9
Step-by-step explanation:
m<K = 71°
arc JL = 16x - 2
m<k = ½(arc JL) => inscribed angles theorem
Substitute
71 = ½(16x - 2)
Multiply both sides by 2
71*2 = 16x - 2
142 = 16x - 2
Add 2 to both sides
142 + 2 = 16x - 2 + 2
144 = 16x
Divide both sides by 16
144/16 = 16x/16
9 = x
x = 9
Please help me
Due today.
Answer:
C.
Step-by-step explanation:
if the simple interest on $1000 for 10 years is $400, then what is the interest rate?
Mary needs to reflect point B, which is located at (4, 9), over the y-axis. Write the coordinate that is a reflection of point B over the y-axis?
Include ( ) around your coordinate.
Answer:
(-4,9)
Step-by-step explanation:
When you reflect over the y axis, The X coordinate changes to opposite, the Y doesn't change
HELP PLS IM FAILING MATH AND NO ONE IS HELPING ILL MARK U BRAINLIEST
Answer:
X = 30
Step-by-step explanation:
You can find the answer by solving for line RS through the corresponding ratio and adding it to the known value of ST.
Match each to the best answer.
Would anyone help me with this,please ?
Answer:
angle 2 and 4....1and 3
Step-by-step explanation:
the lines bisects each other forming two equal but adjacent angles which are vertically opposite
Please help me!
Will give brainlst :)
Answer:
Step-by-step explanation:
Answer:
this is a line with a slope of 1 and a y-intercept of 3
A tray contains 16 cocholate chip cookies and 12 oat meal raisin cookies. HOw many ways cna a child select 3 cookies that include at least 1 chocolate chip cookie
Answer:
there are three ways
Step-by-step explanation:
three choclate chip
two choclate chip one oatmeal rasin
1 choclate chip 2 oatmeal rasin
Help me plsssssssss :(
Answer:
I would love to help you but what am I helping with there is no question there other that "Help me plssssss"
Step-by-step explanation:
Find the measure of z.
regular pentagon
120°
144°
108°
135°
The measure of m∠z is 135°.
What is Octagon?A closed two-dimensional figure having eight sides, eight vertices, and eight interior angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon.
As, Each inner angle is the same measure because it is a regular octagon.
To calculate the interior angle sum of a polygon, we have a formula.
The total internal angle of a polygon
= (n -2)180°, where "n" is the number of sides.
Here, n = 8
Then, sum of the interior angles.
= (8 -2)180
= 6 x 180
= 1080°
Thus, the measure of m∠z = 1080/ 8 = 135°
Learn more about Octagon here:
https://brainly.com/question/11658698
#SPJ7
Which value of x makes the equation 2+4(6-2x)= 8 true?
Answer:
Step-by-step explanation:
2+4(6-2x)=8
2+24-8x=8
26-8x=8
26-8=8x
18/8=x
2.25=x
substitute the value of x
2+4(6-2x)
2+4(6-2*2.25)
2+6
8
therefore 8=8 so it is true
Answer:
Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.
Name 5 possible values for x from the inequality 2x ≤ 28
Answer:
1, 2, 3, 4, 5
If you substitute these values, it will be below 28
Alternative method:
x <= 28/2
x <= 14
Hence, all values 14 and below can be used
Feel free to mark it as brainliest :D
HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24
Answer:
A) 6
Step-by-step explanation:
Write the Equation of a line given slope and y-intercept or points
1) b = 17/5 and m=3
Answer:
I'm sorry hindi ko po alam
CAN SOMEONE PLSSS HELP ME! IT’S DUE TODAY. I NEED THE SURFACE AREA AND VOLUME...
Answer:
one of the triangles is 7.5, if you need both areas then it is 15cm2
Step-by-step explanation:
multiple 3x5=15, this will make it for a square. To create the triangle, you just divide it by two, because two triangel make a square.
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
need it asap please!!!!
Answer:
they are rational numbers
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
a number less than 20 amounts to three times the number
Answer:
20 - x = 3x
Step-by-step explanation:
A number less than 20 amounts to three times the number
20 - x = 3x
Plz help PppppLz plz someone worth 21 pt and brainlest
Answer:
This is a case of direct variation. Hence,
210/1=x/2
x=420
since 2 pandas eat it each day hence
420/7
=60
60 pounds is the answer.(sure)
Step-by-step explanation:
Hope it helps you.
Answer: 60 pounds
Step-by-step explanation:
210 pounds a week
Divide by 7 days (a week)
Equals 30 pounds a day/ per panda
There is 2 pandas so 30 pounds times 2 equals 60 pounds
Evaluate the following
6!
Answer:
Mind showing a picture?
Thank you!