Answer:
it is B
Step-by-step explanation:
Solve for the missing side. Round to the nearest tenth.
10
50°
х
Answer:
15.6
Step-by-step explanation:
Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard
deviation of 2.9 in.
The area greater than the Z-score is the probability that a randomly selected 14-year
old boy exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in.?
Answer:
P(Z>2.24) = P(70<X<1e99) = 1.25%
Step-by-step explanation:
Calculate Z-score:
Z=(x-μ)/σ
Z=(70-63.5)/2.9
Z=6.5/2.9
Z=2.24
Find area greater than Z-score:
P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125
So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.
1
There are 31 students in a class.
14 of the students are female.
Find the percentage of the class that are female.
Give your answer to the nearest percent.
Effect
aths
Answer:
45.16%
Step-by-step explanation:
31 students is 100%
so, 14x100/31=45.16
Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distributed with mean $39725 and standard deviation $7320. Suppose a school takes a sample of 125 such graduates and records the annual starting salary of each. The probability that the sample mean would be at least $39000 is about
Answer:
0.8665 = 86.65% probability that the sample mean would be at least $39000
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 $39725 and standard deviation $7320.
This means that [tex]\mu = 39725, \sigma = 7320[/tex]
Sample of 125:
This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}} = 654.72[/tex]
The probability that the sample mean would be at least $39000 is about?
This is 1 subtracted by the pvalue of Z when X = 39000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{39000 - 39725}{654.72}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample mean would be at least $39000
PLEASE HELP, I don’t know how to do this...like at all
Answer:
arc ? = 255°
Step-by-step explanation:
arc DB = 180° - 75° = 105°
arc ? = 360° - 105° = 255°
how can you tell two objects are similar when all you did is make the the object smaller by a scaled factor?
if good answer... will give brainly and also 5 stars and everything
Answer:
You can tell if they are similar if all the angles correspond and the sides are all scaled down by the same factor. For instance, a triangle with sides of 30, 40, and 50 scaled down by a factor of 2 would have sides of 15, 20, and 25.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
A net of a rectangular prism has 3 pairs of equal sides. The front face has an area of 30 feet squared.
Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.
Answer:
A,C,D
Step-by-step explanation:
I took it on Edge
Solve the triangle. Round decimal answers to the nearest tenth.
Sin 17° cos 13° + cos 17° sin 13°
Answer:
.5
Step-by-step explanation:
Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)
sin(17+13) = 1/2
Please help with this, its do right know
Answer:
A
Step-by-step explanation:
y = 3x + 10
Ur welcome
find the highest common factor of 12,20 and 28
no links
Answer:
the highest or greatest common factor 12,20,and 28 is 4
Answer:
12, 20, 28.
Step-by-step explanation:
here is the answer
no links
no photos
just a simple answer
have a great day/night
:)
Input(x) Output(y)
32 20
14 2
? -6
-2. -14
-10. ?
complete the function table and write the function rule. show the steps you took to get this answer
Answer:
Rule : x subtracted by 12 = y , first ? = 6 (6,-6) , second ? = -22 (-10,-22)
Please help I’m on vacation and I didn’t go to school yesterday
Answer:
28 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula of area for triangles: [tex]\frac{1}{2}bh[/tex]
[tex]\frac{1}{2}[/tex] * 7 = 3.5 (3.5 *2) = 7
The formula for area of a rectangle: bh
7*3 = 21
Add the areas together 21+7 = 28 squared cm
Answer:
28cm²
Formula of area of triangle:
1/2 x base x height
Formula of area of rectangle:
length x width
thus,
area of the whole thing:
(1/2 x 7cm x 2cm)+(3cm x 7cm)
=7cm²+21cm²
=28cm²
In a given equation, C varies inversely with D. If C is 50 when D = 11.5 , find C when D = 20
Answer:
Sry I don't know yrrrrrrrrrrrr
a store owner needs a rug with an area of at least 420 square feet select all that the store owner could use A 40 feet x 20 feet B 60 feet x 7 feet C 70 feet x 6 feet D 4 feet x 20 E 20 feet x 4 feet f 40 feet x 7 feet
Answer:
que
Step-by-step explanation:
no sé
HELP ON HOMEWORK PLS
Answer:
∠LPN = 57°
Step-by-step explanation:
arc LMN = 360° - 102° - 144° = 114°
∠LPN = 114°/2 = 57°
write a letter to your friend telling her how you are coping in your new senior school
Answer:
?
Step-by-step explanation:
Help pls giving branliest
Answer:
What types of nouns should be used in effective process writing?
Step-by-step explanation:
A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many computers a day, what is the probability that the first computer that has failed due to the hard drive is his 4th computer of the day?
Answer:
(B) 0.0864
Step-by-step explanation:
Correct on Edge
Last year Jacob’s total
Answer:
the answer is $ 83,634
your welcome
The length of every chord in a circle is always greater than the length of a radius.
True or False?
Answer:
the answer would be false
If 5(3x − 2) = 6, then x =
a. 2/6
b. 5/6
c. 10/15
d. 16/15
Answer:
D
Step-by-step explanation:
[tex]5(3x-2)=6\\15x-10=6\\15x=16\\x=\frac{16}{15}[/tex]
Answer:
D.) 16/15
Step-by-step explanation:
To solve we must first distribute the 5 to everything that is inside the parenthesis. To do this we can multiply 5×3x = 15x and 5×-2 = -10.We can then combine these new numbers and set them equal to 6.
5(3x-2) ---> 15x-10=6
From here we need to get the x on one side all alone. To do this we need to first move the -10. We can add 10 to both sides.
15x=6+10
Simplify...
15x=16
Then we can divide both sides by 15 to get x alone
x=16/15
Tell whether the statement is true or false.
{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}
Answer:
false
Step-by-step explanation:
i dont understand kinda
but if you add it,
88<106
so false
Helppppppppppppp meeeee
7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no
Answer:
[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the base of the triangle BC = 11
The height of the triangle AB = 7
The hypotenuse of the triangle AC = x
Now , the length of AC can be calculated from the Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
And , AC² = AB² + BC²
Substituting the values in the equation , we get
AC² = 11² + 7²
AC² = 121 + 49
AC² = 170
Taking square roots on both sides of the equation , we get
The value of AC = √170
The value of AC = 13.038
Therefore , the value of x = 13.038
Hence ,
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
To learn more about triangles click :
https://brainly.com/question/16739377
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find the angle of elevation of a kite on a 50m
string flying 40m vertically above the ground.
The angle of elevation of a kite is 53.13°
What is angle of elevation?"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."
What is sine angle?"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,
[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"
For given question,
Consider the following diagram for given question.
The length of the string (AC) = 50m
The kite is flying 40m vertically above the ground.
⇒AB = 40m
We need to find the angle of elevation [tex]\theta[/tex]
Consider the sine of angle [tex]\theta[/tex]
[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]
Therefore, the angle of elevation of a kite is 53.13°
Learn more about the angle of elevation here:
https://brainly.com/question/21137209
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what is the equation of the line in slope-intercept form?
pls help i cant get this wrong
Answer:
y=mx+b
Step-by-step explanation:
Find the volume of the figure. Round to the nearest tenth if necessary.
3 yd
3 yd
10 yd
Answer: 90 yards
Step-by-step explanation:
10 by 3 by 3 is 90
The graph represents distance traveled varying directly with time.
What would be the distance traveled after 12 hours?
a. 40 miles
b. 540 miles
c. 480 miles
d. 600 miles
Answer:
c. 480 miles.
Step-by-step explanation:
From the graph:
after 5 hours distance travelled is 200 miles.
So by proportion distance in 12 hours = 200 * 12/ 5
= 2400/5
= 480 miles.
Which statement uses words to represent 5+8x3-2
Answer:
A. Five more than the product of 8 and 3, minus 2
Step-by-step explanation:
A is the correct answer because it correctly displays "5 + 8 x 3 - 2"
Hope this helps. :D
-Luna