Answer:
C) 53.3%
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = 0.5328 = 53.3%
Step-by-step explanation:
Explanation
Given that Mean of the Normal distribution(μ) = 222
Given that the standard deviation of the Normal distribution (σ) = 16
Let 'X' be the random variable in the Normal distribution
we have to find that the probability that a data value is between 206 and 230
solution:-
Step(i):-
Let 'X' = 206
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{206-222}{16} = -1[/tex]
Let X = 230
[tex]Z = \frac{x-mean }{S.D} = \frac{230-222}{16} = 0.5[/tex]
Step(ii):-
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = P( -1≤Z≤0.5)
= |A(0.5)+A(-1)|
= 0.1915+0.3413
= 0.5328
final answer:-
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = 0.5328 = 53.3%
PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.
6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!
Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.
Answer:
NO
Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.
choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure do you get? in what quadrants does this figure lie in?
Answer:
The figure is a straight line.
The figure lies in the first and the third quadrants.
Step-by-step explanation:
Take five ordered pairs as [tex](1,1),(2,2),(-1,-1),(-2,-2),(3,3)[/tex]
Here, the first and second coordinates are equal.
Now, plot these points and connect them.
From the graph, it can be observed that the figure is a straight line.
Also, the figure lies in the first and the third quadrants.
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
Please please please answer this and show the steps. I’ll give Branliest to whoever replies first
Answer:
x = -3
y = 4
Step-by-step explanation:
distribute first
7x + 35 = 2y + 6
combine 'like terms'
7x - 2y = -29
do same steps for second equation
4x + 4y = 13 + 3x
x + 4y = 13
System of Equations:
7x - 2y = -29
x + 4y = 13
Multiply the first equation by 2 to eliminate the 'y-term'
14x - 4y = -58 (Now add this to the second equation)
+ x + 4y = 13
15x = -45
x = -3
Substitute -3 for 'x' to find 'y'
-3 + 4y = 13
4y = 16
y = 4
Candice, Jill, and Kivo raised money for their school's
golf team through a bake sale. They sold over-stuffed
brownies for $4.50 each, and they sold gourmet
cupcakes for $6 each. After selling 125 baked goods,
they collected $633 total. How much of the total did the
trio collect from selling the cupcakes?
$351
$282
$150
$78
$47
Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)
The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
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-7(-2w-2y+4) distributive property to remove the parentheses
Answer:
14w + 14y - 28
Step-by-step explanation:
-7(-2w - 2y + 4)
Distributive:
14w + 14y - 28
good luck, hope this helps :)
Item 3
Solve for a.
a+(−4)=−13
a=−17
a=−9
a = 9
a = 17
Answer:
a = -9
Step-by-step explanation:
a+(-4)=-13
add 4 to each side
a-4+4 = -13+4
a = -9
Answer:
a = - 9
Step-by-step explanation:
a + (-4) = -13
Add 4 to both sides
a + (-4) + 4 = -13 + 4
a + 0 = -9
a = -9
When two numbers have different sign, subtract and the result will have the sign of the bigger number
Mr. D’Alton made some radium in his lab. He used kg of the radium every time he 5 2ran his experiment. If he did the experiment four times and had kg left, how much2 3 1radium did Mr. D’Alton make at first?
Answer:
no lo sé por eso te lo escribo en español
Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?
Which is the directrix of a parabola with equation x2 = 8y?
O y = 2
O X=-2
O y=-2
O X=2
Answer:
Y=-2
Step-by-step explanation:
You would use the vertex form to find the directrix
The directrix is a horizontal line that is y = -2.
Option C is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x-h)^2 + k
We have,
The directrix of the parabola with equation x^2 = 8y is a horizontal line, and its distance from the vertex is equal to the value of the parameter p.
To find the value of p, we need to rewrite the equation of the parabola in the standard form:
x² = 8y
Dividing both sides by 8, we get:
x²/8 = y
Comparing this equation to the standard form of a parabola with a horizontal axis of symmetry, which is given by (y-k)² = 4p (x-h), we can see that h = 0, k = 0, and p = 2.
Therefore,
The directrix is a horizontal line that is 2 units below the vertex, which is located at (0,0).
i.e
y = -2.
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Show mathematically why the ratio 15:10 is not equal to 10:15
Answer:
Hello here is my answer
Step-by-step explanation:
The 2 ratios are 15:10 and 10:15
multiply the numbers of the first ratio with the last number if the second ratio, which means,
15*15=225
10*15=150
we get 225:150
now we multiply the numbers of the second ratio with the last number if the first ratio.which means,
10*10=100
15*10= 150
now compare bot of them
225:150::100:150
we see that 225:150>100:150
hence proven that 15:10 is not equal to 10:15
What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)
A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2
Answer:
D) [tex]\frac{-3}{2}[/tex]
The slope of the line m = [tex]\frac{-3}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the points are (-4,10) and (4,-2)
we have to find that the slope of the line
Step(ii):-
Solution:-
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m = \frac{-2-10}{4-(-4) }[/tex]
[tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]
Final answer:-
The slope of the line m = [tex]\frac{-3}{2}[/tex]
Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you
a
Step-by-step explanation:
What’s this shape called?
Answer:
This shape is called triangle
[tex] - x - 3 + x = \sqrt{9 - 2x} + x[/tex]
Answer:
x= -8
Step-by-step explanation:
pls just solve its 7th grade not hard :)
Jerry has a bag of counters.
Inside his bag are
2 blue
4 green
5 red and
9 yellow counters
Jerry is going to take a counter at random from his bag.
Write the correct colours to complete these sentences.
The probability that it will be ..................... is 0.2
The solution is 4 green
The probability of choosing a green counter from the bag is 0.2
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a green counter be = P
Now , the value of P is
Let the total number of blue counters be G = 2
Let the total number of green counters be G = 4
Let the total number of red counters be G = 5
Let the total number of yellow counters be G = 9
So , the total number of counters = number of blue counters + number of green counters + number of red counters + number of yellow counters
Substituting the values in the equation , we get
The total number of counters = 2 + 4 + 5 + 9
The total number of counters = 20
Now , the probability of choosing the green counter P = total number of green counters / total number of counters
Substituting the values in the equation , we get
Probability of choosing the green counter P = 4/20
Probability of choosing the green counter P = 2/10
Probability of choosing the green counter P = 0.2
Therefore , the value of P is 0.2
Hence , the probability of choosing green counter is 0.2
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The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.
Answer:
1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2
Step-by-step explanation:
Let's solve your problem step by step:
First side should be: 2x+4
Because 2 times the second side =, and 4 longer than that.
Second side should be: x
This is the base of the equation, since all the numbers depend on "x"
Third side should be: (3x+4)-5
Because x + x+4, and the third side is 5 shorter..
We add all and we get 72.
Solve for x.
x=23/2
Now, we can solve for other sides, by doubling it and adding 4.
This is answer is correct, I tried it. :)
Who is good at accounting
Please answer
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
Solve for the variable: (x – 3)2 = 0
Answer:
x=3
Step-by-step explanation:
(x-3)2=0
= 2x-6=0
= 2x=6
= x=3
Answer:
thw answer is x=3
Step-by-step explanation:
hoped I helped:)
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
California is at higher risks for earthquakes, because it near the Pacific Ocean
Determine the no. of permutations
for the word PHOTOGRAPH
Given:
The word is "PHOTOGRAPH".
To find:
The no. of permutations for the given words.
Solution:
The total number of letters in the word PHOTOGRAPH is 10.
It is clear that P, H, O are twice and T, G, R, A are occurred once.
To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.
The total number of permutations for the given word is
[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]
[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]Permutations=453600[/tex]
Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.
Evaluate this expression for a = 2 and b= 3.
Answer:
16
Step-by-step explanation:
replace a with 2 and b with 3 in the expression and solve as follows
(2 + 5)-3 / 3-4 + 2(3+3)/ 2
7 - 3/-1 +12/2
14 + 6 +12/2
32 / 2
16
HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT
if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin
Answer:
( -1 , -2 )
Step-by-step explanation:
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
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A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
Answer:
No cakes.
Step-by-step explanation:
5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.
Which two integers does the square root of 99 lie between?
Answer: the square root of 99 lies somewhere between 9.9 and 10.
Step-by-step explanation:
Answer:9 and 10
Step-by-step explanation:
it was hw
