The probability (x s 110) is 0.975, the correct option is A.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Mean=98
Now,
To find the probability that x is less than or equal to 110 for a normal distribution with mean 98 and standard deviation 6, we need to use the standard normal table or a calculator.
Using the standard normal table, we first need to convert x to a z-score using the formula:
z = (x - mean) / standard deviation
Plugging in x = 110, mean = 98 and standard deviation = 6, we get:
z = (110 - 98) / 6
z = 2
This means that x = 110 is equivalent to z = 2 on the standard normal distribution.
Now we look up the value of z = 2 on the table and find that it corresponds to an area of 0.9772. This means that P(z ≤ 2) = 0.9772.
However, this is not the answer we want. We want P(x ≤ 110), which is the same as P(z ≤ 2). The table gives us the area to the left of z, but we need to subtract it from 1 to get the area to the right of z. This is because P(x ≤ 110) = P(z ≤ 2) + P(z > 2) = 1.
Therefore,
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) = 1 - P(z > 2)
P(x ≤ 110) = 1 - (1 - P(z ≤ 2))
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) ≈0.9772
Therefore, by the given mean the answer will be 0.975.
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Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.
The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
What is a conditional relative frequency table?It is a special type of frequency table that shows relationships between two categories.
From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,
Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.
Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.
Option D is also incorrect because we do not know the number of students.
Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
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Answer:
A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
Triangle DHI is translated to the left 6 units and up 5 units up. What are the new coordinates for point D'?
Question 19 options:
(3, -2)
(-1, 2)
(-2, 3)
(-3, 2)
Answer:
c=(-2,3)
Step-by-step explanation:
hope u get it right
Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
Which of the following is a composite number?
13
15
17
23
Answer:
15
Step-by-step explanation:
15= 3*5, so not prime
Help please ASAP this is confusing first correct answer gets brainleist
8cm
First we need to look at the side opposite to the missing side
which it is 12cm
now we can see that on the missing side 4cm is right below it
so we do
12cm-4cm
this gives you
8cm
a) 12-4=8
b) 5+4+4+12+9=34
The perimeter is 34cm and the missing length is 8cm.
Or it could be 38 since this unknown length was determined.
Which image below is an equilateral triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
A
Step-by-step explanation:
The definition of an equilateral triangle is one that has equal angles and equal sides. Of all of the pictures, Triangle A is the only one to have equal length sides.
What is the absolute value of -7
Will mark brainlyest!!
Answer: 7
Step-by-step explanation:
The absolute value of -7 is 7 because to find the absolute value you take away the sign.
helppppp please i need help
Step-by-step explanation:
to gat everything you have to find the Area.
to get the area you have to multiple the number 2 tims
You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?
1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left
3+ х = х2 + 3x
rewrite by completing the square
Answer:
Step-by-step explanation:
Completing square:
3 + x = x² + 3x
x² + 3x = x + 3
Step 1: Subtract 'x' from both sides
x² + 3x - x = 3
x² + 2x = 3
Step 2: Divide the coefficeint of x by 2 and square the result
2 ÷ 2 = 1
1² = 1
Step 3: Now add 1 to both the sides
x² + 2x + 1 = 3 + 1
x² + 2x + 1 = 4
The LHS of the equation is in the form a² + 2ab + b² = (a +b)²
(x + 1)² = 2²
Take square root,
x + 1 = ± 2
x + 1 = 2 ;x + 1 = -2
x = 2 - 1 ; x = - 2-1
x = 1 ; x = -3
Solution: x = 1,-3
What is the square root of 45?
Step-by-step explanation:
=3√5
thank me later....
The clown at the birthday party made balloon animals for 8 children. Each animal used 4 balloons. The clown still has 24 balloons left. How many balloons did the clown start with?
Answer: 8
Step-by-step explanation:
4x8 gives you 32
Then you subtract:
32-24 =8
What are the coordinates of the image of P(3, −4) after a reflection in the x-axis? (3, 4) (−3, −4) (−3, 4) (3, −4)
Answer:
(3,4)
Step-by-step explanation:
If is reflected around the x-axis, then the x-coordinate stays the same. Since -4 is still 4 away from the x-axis, we can count 4 untis up to get (3,4).
Sonny is twice as old as Wale. Four years ago, he
was four times as old as Wale. When will the
sum of their ages be 66?
Let S be Sonny age now and W be Wale age now
[tex]S=2W[/tex]
[tex]S-4=4(W-4)[/tex]
[tex]S-4=4W-16[/tex]
[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]
[tex]2W=4W-12[/tex]
[tex]2W-4W=-12[/tex]
[tex]-2W=-12[/tex]
[tex]W=12[/tex] ÷ [tex]2=6[/tex] years old age of Wale now[tex]S=2W=2(6)=12[/tex] years old age of Sonny nowWhen will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:
[tex](12+x)+(6+x)=66[/tex][tex]18+2x=66[/tex][tex]2x=66-18=48[/tex][tex]x=48[/tex] ÷ [tex]2=24[/tex] years from nowTherefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.
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name the lengths of the sides of three rectangles with perimeters of 12 units
Answer:
Rectangle 1 4, 4, 2 and 2
Rectangle 2 5, 5, 1 and 1
Rectangle 3 3.5, 3.5, 2.5 and 2.5
Step-by-step explanation:
what is 10x10,20x90,30x30,and 40x40
Answer:
100
1800
900
1600
Step-by-step explanation:
Easy way to solve :
remove the 0's eg
20*90 -> 2*9 = 18
then add the 0's back on
1800
Answer:
See below ↓↓↓↓
Step-by-step explanation:
10 x 10 = 10020 x 90 = 180030 x 30 = 90040 x 40 = 1600For a research study, 64 marmots were tagged and set free. Later, the researchers
returned to the site and found 36 tagged marmots out of the 900 marmots they counted. To
the nearest whole number, what is the best estimate for the marmot population?
Answer:
1067
Step-by-step explanation:
[tex] \frac{36}{64} = \frac{600}{ m} [/tex]
m=total amount of marmots
cross multiplication-
36×M = 64×600
[tex] \frac{64 \times 600}{36} [/tex]
=1066.666667
=1067 marmots
My geometry teacher doesn't really teach so I need help!
A.) g(x)=x^2 -3; find g(3)
How do I solve this? I think I'm mostly confused on what I'm supposed to do with the (x).
Answer:
g(3) = 6
Step-by-step explanation:
The right side of the equation is the part with all the information for the doing of the math.
x^2 - 3 means square the number and then subtract 3.
On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.
What is g(x)? It is y.
What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!
The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.
If you see g(x)=x^2-3
then whatever is in the ( ) on the left, put that in the place of x on the right.
g() = ^2 - 3
g(12) = 12^2 - 3
g(-7) = (-7)^2 - 3
or like your question
g(3) = 3^2 - 3
do the calculation
g(3) = 9 - 3
g(3) = 6
done! Hope this helps!
PLEASE HELP!!!!
NO LINKS!!!
In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D
Answer:
arc ed is 38 degrees
Step-by-step explanation:
dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38
Answer:
142
Step-by-step explanation:
the whole circle is 360 degrees.
90+52=142
180-142=38
AB=38 is the same as DE.
90+52+38+38=218
360-218=142.
5. Find the equation of the line that goes through the point (2.-3) and has a slope of -1.
y = -x-1
y = -x-3
y=2x-3
y=-x+2
6. Find the equation of the line that goes through the point (5.1) and has a slope of 0.
y = 5x + 1
y=5
y=1
x=5
Hope it helps.
Do comment if you have any query.
Answer:
A and C.
Step-by-step explanation:
what is equivalent to x - 7 = 10
Answer:
17-7=10
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
17-7=10
Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which Three statements are correct?
The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.
How to compute the probability?Your information is incomplete as the statements aren't given. Therefore, an overview will be given.
From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:
= 4/12 = 1/3
The probability of picking a butterfly or flower design will be:
= 4/12 + 4/12
= 8/12
= 2/3
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Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom?
Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction.
Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC
How to dilate the triangle?From the complete question, we have the following coordinates:
Point A = (-4,5)Point B = (7,-7)Point C = (-2,2)Point P = (1,-4)Scale factor, k = 1/3The dilation rule across the center P is:
(x, y) --> (1/3x – 1, 1/3y + 4)
So, the coordinates of the image of the triangle are:
A' = (-1/3 * 4 – 1, 1/3 * 5 + 4)
A' = (-7/3, 17/3)
B' = (1/3 * 7 – 1, -1/3 * 7 + 4)
B' = (4/3, 5/3)
C' = (-1/3 * 2 – 1, 1/3 * 2 + 4)
C' = (-5/3, 14/3)
From the above computation, the coordinates of the new triangle is:
A' = (-7/3, 17/3)
B' = (4/3, 5/3)
C' = (-5/3, 14/3)
See attachment for the image of triangle ABC
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Use the information to find and compare Δy and dy. (Round your answers to three decimal places. )
y = 0. 8x5 x = 1 Δx = dx = 0. 1
Δy = dy =
The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.
How to compute the values?The value of Δy will be computed thus:
Δy = y(x + Δx) - y(x)
= y(1.1) - y(1)
= 0.5(1.1)⁸ - 0.5(1)⁸
= 0.572
The value of dy will be:
= y'(x)dx
= (0.5)⁸ × x⁷(0.1)
= 0.4 (1)⁷
= 0.4
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Are
Right triangles are a subcategory of triangle
Yes or no
The 2 in the hundreds place is _______ times greater than the value of the 2 in the tenths place.
Answer:
10 times
Step-by-step explanation:
20= tenths place
200=hundredths place
20 x 10= 200
The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7
The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
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60,582,876+85,632,895
Answer:
answer 100%100 is 146215771
(2x+4)(x-1) express as a trinomial
Answer:
[tex]\\\\\hookrightarrow 2x^{2} +2x-4[/tex]
Step-by-step explanation:
[tex]\hookrightarrow (2x+4)(x-1) \\\\\hookrightarrow 2x(x-1)+4(x-1)\\\\\hookrightarrow 2x^{2} -2x+4x-4\\\\\hookrightarrow 2x^{2} +2x-4[/tex]
Answer:
[tex]\huge\boxed{\bf{(2x + 4)(x - 1) = 2x^2 + 8x - 4}} [/tex]
Step-by-step explanation:
[tex]\sf \to (2x + 4)(x - 1) [/tex]
[tex]\sf \to x(2x + 4) + 4(x - 1) [/tex]
[tex]\sf \to 2x^2 + 4x + 4x - 4 [/tex]
[tex]\sf \to 2x^2 + 8x - 4 [/tex]
[tex]\: [/tex]
[tex]\huge\colorbox{red}{BlackPain} [/tex]