Given:
The weights of dogs in a dog show is normally distributed.
Mean = 58 pounds
Standard deviation = 15
To find:
The probability that the weight of the dogs are between 35.5 and 65.5 pounds.
Solution:
We know that,
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.
We need to find the value of [tex]P(35.5<x<65.5)[/tex].
[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]
Level of significance is 95%.
[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]
[tex]P(35.5<x<65.5)=0.624653[/tex]
[tex]P(35.5<x<65.5)\approx 0.6247[/tex]
Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.
can you help me with this. Find the surface area
Answer:
2370 cm²
Step-by-step explanation:
2(32·15+15·15+15·32) = 2370
given log base3 4 = log base 1/27 k , find the value of k .
Answer:
k =0.156
Step-by-step explanation:
According to the Question,
We Have To apply Just some Basic Properties of log here.
[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]
0.620/0.4771 = ㏒k / -1.4313
㏒k = -1.86
k = anti㏒(-1.86)
k =0.156
I need your help!!!
In which triangle is the value of x to tan^-1(3.1/5.2)??
(Images may not be drawned on the scale)
The angle of x in the right angle triangle is 30.80 degrees
Right angle triangle:
Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.
Let's find the angle x using trigonometric ratios;
tan x = opposite / adjacent
Therefore,
tan x = 3.1 / 5.2
x = tan⁻¹0.59615384615
x = 30.7991697243
x ≈ 30.80°
Therefore, the angle of x is 30.80 degrees
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Find the missing length of the triangle. 12 in 85 in.
Answer:
From Pythagoras Theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides
C² = 12² + 35²
C= √12²+35²
C= 37in
Answer:
side c = 37 in.
Step-by-step explanation:
side c is the hypotenuse as it is opposite of right angle (90 degree ).
12 and 35 are the two other smaller sides of the given right angles triangle.
using pythagoras theorem to find side c
a^2 + b^2 = c^2
12^2 + 35^2 = c^2
144 + 1225 = c^2
1369 = c^2
[tex]\sqrt{1369}[/tex] = c
37 = c
if the circumfrence of a circl is 18π inches, what is the radius of the circle
Answer:
r≈2.86
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=18
2·π≈2.86479
I need help with number 35 please help
Answer:
B. shelves × 51
Reason:
sum of all books= 357
sum of shelves= 17
no of shelves × 21
or, 17 × 21= 357
which is the number of books.
probability please help i will give brainliest
There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
Please help me with these three questions...
I will be really thankful for help
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]Help me please! I will give brainliest!
Answer:
i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.
In △FGH, L is the centroid. If LK = 19, find GL
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown
Answer:
8
Step-by-step explanation:
In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.
[tex]5=x-6[/tex]
Add 6 to both sides
[tex]11=x[/tex]
Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):
[tex]mean=\frac{6+7+11}{3}[/tex]
Add 6+7+11
[tex]mean=\frac{24}{3}[/tex]
Divide by 3
[tex]mean=8[/tex]
However, does these questions will be marked as brantliest !!!!
Answer:
i don't see questions but I'll go download the app on your picture:))
4.79 × 10^-6
0.0000000734
Hope this helps! :)
Which ratios are equal to cos(B)? Choose the TWO ratios that apply.
Answer:2 and 5
Step-by-step explanation:
The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]
What are similar triangles?"Two triangles are said to be similar
- if corresponding angles are equal and the sides
- if corresponding sides of the triangles are in proportion."
What is cosine angle?In a right triangle,
cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse
For given example,
Triangles ABC and DEF are similar triangles.
This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex] ..............(i)
For a right triangle ABC,
the cosine of angle B is,
[tex]cos(B)=\frac{BC}{AB}[/tex]
From (i),
[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]
So, the cosine of angle B is,
[tex]cos(B)=\frac{EF}{DE}[/tex]
Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]
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Which equation represents a line that passes through the two points in The table
Answer:
y = mx + by= mx+ b
Step-by-step explanation:
since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b
52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
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I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answer:
I think C is the relation between the variables.
Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4
Answer:
option D
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39 = adjacent / hypotenuse
0.77 = x / 7
x = 7*0.77
x = 5.39
x = 5.4
Answer:
D. 5.4
Step-by-step explanation:
Using trigonometric ratio
cos 39 = x/7
cross multiple
x = cos39(7)
x=5.4
(6x+15)°
63° triangle
Answer:
x = 2
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
6x + 15 + 90 + 63 = 180
6x + 168 = 180 ( subtract 168 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
ForEASY BRAINLIEST!!!
Answer:
A.
B.
C.
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-
Step-by-step explanation:
a) x - 3
b) x - 14
c) x − 10
Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph
Answer choices
X= 5
y = 0
x = 0
y = 5
Answer:
A
Step-by-step explanation:
The line is parallel to y axis, so the equation is x = 5
If a number is chosen at random from the numbers 1 to
20 inclusive, what is the probability that a single-digit
number will be picked? ( give your answer in simplified
fractions eg. 2/5 when necessary)
Answer:
1/20
Step-by-step explanation:
only a single number can be chosen out of 20. And 1/20 is the most simplified it can get.
Help me please which expression is equal
The answer is C.
45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.
PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2
Answer:
Surrounding area of pyramid = area of a side face multiplied by 4
Step-by-step explanation:
The area of a side face is the area of the triangle:
[tex]\frac{1}{2} *6*4[/tex] = 12
So the perimeter of the pyramid is:
12×4=48
Explanation: because the side faces have the same area.
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is
Answer:
It is 2 million
Answer:
Million
Step-by-step explanation:
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
Answer:
x = 9
Step-by-step explanation:
24x - 18 - 8x - 30 = 96
add or subtract like terms
16x - 48 = 96
shift - 48 to right hand side . when it goes to other side minus changes to plus
16x = 96 + 48
16x = 144
x = 144/16
x = 9
to prove that the value of x satisfy the given equation or not.
to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
96 = 96
since both sides is equal to 96 it can be concluded that the value of x is 9.
Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?
AnswerX = 9Step by Step Explanation24x - 18 - 8x - 30 = 96
First let's just add/subract the following terms.
16x - 48 = 96
Second.. shift the 48 to the right side. after that change the minus sign into plus sign.
16x = 48 + 96
16x = 44
x = 144/16
x = 9
Explanation:
So we just prove that the value of x satisfy the equation true or not.To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.So we begin to solve it!
24x - 18 - 8x - 30 = 96
24*9 - 18 - 8*9 - 30 = 96
216 - 18 - 72 - 30 = 96
216 - 120 = 96
Since that all both sides are equal to 96 it can be concluded that the value of x is 9.
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