Answer:
x = 29
Step-by-step explanation:
PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.
Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.
A. There is no association between using social media and grade level.
B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.
D. An 8th grader is more likely to use social media than not.
E. Knowing a student’s grade level does not help determine if he or she uses social media.
What is Probability?Probability is the ratio of the favorable outcomes to the total outcomes.
Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.
We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.
Probability of using social media by a 9th grader is-
P(9) = 0.81 / 1 x 100 = 81%
Probability of using social media by a 8th grader is-
P(8) = 0.84 / 1 x 100 = 84%
We cannot define the usage of social media depending on the grade level.
Thus, Options A, B, D, and E are correct answers.
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The table is attached
The function f(x) = (x - 4)(x-2) is shown.
What is the range of the function?
1:01
all real numbers less than or equal to 3
all real numbers less than or equal to - 1
all real numbers greater than or equal to 3
all real numbers greater than or equal to -1
6+
4
2
10.-
-6
-4
8
10
X
-2
-2
-4
-6
-10
Save and Exit
Next
Submit
Mark this and return
Answer:
the range for f(x) = (x-4) (x-2) is [-1,∞)
Step-by-step explanation:
all real numbers greater than or equal to -1
The range of the function is all real numbers greater than or equal to -1
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = ( x - 4 ) ( x - 2 ) be equation (1)
On simplifying , we get
f ( x ) = x ( x - 2 ) - 4 ( x - 2 )
f ( x ) = x² - 2x - 4x + 8
f ( x ) = x² - 6x + 8
Now , the range of the function is set of possible y values
The vertex of the parabola is at ( 3 , -1 )
So , the range of the function is f ( x ) ≥ -1 and the interval is [ -1 , ∝ ]
Hence , the range of the function is f ( x ) ≥ -1
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Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.
The height of a rectangular prism is 8.3 cm.
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have,
Surface Area = 288 square cm
Base length = 4 cm and width = 9 cm
So, SA of rectangular prism
288 = 2(lw+ wh + lh)
144 = (36 + 9h + 4h)
13h = 144- 36
13h = 108
h = 8.30 cm
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Right triangle RST is shown below with the dimensions given in feet
(ft)
Which is closest to the measure of ZR?
Select one
15.1
15.7
74.3
74.9
Answer:
As the triangle is right angled ,
sinR = 17/63
Angle R = 15.7⁰
The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Right triangle RST is shown below with the dimensions given in feet.
Now, By trigonometric formula;
tan x = Opposite / Adjacent
Here, Opposite side of angle R = 17 ft
And, Adjacent side = 63 ft
Hence, We get;
tan x = Opposite / Adjacent
tan R = 17 / 63
tan R = 1/9
R = 15.7°
Thus, The closest value of the measure of ∠R is,
⇒ ∠R = 15.7°
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distance between two points: what is the distance between 2, -3 and 8, -9?
Answer:
6sqrt(2) units
Step-by-step explanation:
Distance² = (-9 - -3)² + (8 - 2)²
Distance² = (-6)² + 6²
Distance² = 36 + 36
Distance² = 72
Distance = 6sqrt(2)
sqrt: square root
Timmy has 6 pennies. Sara steals 3 pennies from Timmy. How many pennies does Timmy have now ?
Answer:
Timmy has 3 pennies.
Step-by-step explanation:
If Timmy has 6 pennies at first, and Sarra takes away 3
then 6-3=3, so timmy has three left.
3 because she stole 3. 6-3=3
f(x) = (x-6)(x + 5)
What are the zeros of the quadratic?
Answer:
x=6 x=-5
Step-by-step explanation:
f(x) = (x-6)(x + 5)
To find the zeros, set the function equal to zero
0 = (x-6)(x + 5)
Using the zero product of property
0 = x-6 0=x+5
x=6 x=-5
Roger started with 90 items in his MP3 collection. Each month, he buys 15 more MP3s to add to his collection. The number of MP3s in his collection, P, is given by P = 15m + 90, where m is the number of months he has added 15 MP3s to his collection. How many MP3s will be in Roger’s account in 9 months?
A. 90
B. 105
C. 225
D. 315
Answer:
C 225
Step-by-step explanation:
I'm a surgery 9 out of 15 students named math as their favorite subject. Express this rate as a decimal
WILL LIST BRANLIEST
Answer:
0.6
Step-by-step explanation:
9÷15=0.6
If Nick used 56 feet of fence to enclose a square garden.How long,in feet was each side of Nicks garden?
Answer:
Each side is 14 ft.
Step-by-step explanation:
If there are 4 equal sides, you divide 56 by 4. That equals 14.
Kate recorded the length of her last six workouts. Workout Length (minutes) 1 49 2 29 3 32 4 55 5 42 6 29 What is the median of the lengths of Kate's workouts? (Round, if necessary.) A. 6 minutes B. 29 minutes C. 39.33 minutes D. 37 minutes Reset
Answer:
1, 2, 3, 4, 5, 6, 29, 29, 32, 42, 29, 55
median = 29
Step-by-step explanation:
median is the middle number in a list of numbers from least to greatest.
Which table represents a linear function?
Answer: C
Step-by-step explanation:
when x increases by 1 y increases by 2 and is consistent
hope this helps :3
Expand. Your answer should be a polynomial in standard form. (x - 7)(x - 3)
Answer:
x^2-10x+21
Step-by-step explanation:
Answer:
The answer is x^2-10x21
Find the center and radius of the circle described by the equation x2 + y2 + 6x - 4y - 27 = 0.
Answer:
Step-by-step explanation:
hello :
x²+ y² + 6x - 4y - 27 = 0 means : (x²+6x+9)-9+(y²-4y+4)-4-27 =0
(x+3)²+(y-2)² = 40....standard form when the center is (-3 , 2) and radius √40
The center is (-3, 2), and the radius root40.
We have given
x²+ y² + 6x - 4y - 27 = 0
It can be written as
(x²+6x+9)-9+(y²-4y+4)-4-27 =0
Write the given equation in standard form
What is the standard form of the circle?
(x-a)^2+(y-b)^2=r^2
Where (a,b) be the center and
r-is the radius of the circle
(x+3)²+(y-2)² = 40
Compare the above equation with the standard form of the equation
The center is (-3, 2), and the radius root40.
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in a class of 26 student, 15 of them like maths, 13 of them like english and 9 of them don't like maths or english.
Find the probability that a student chosen at random like english but not maths.
Answer:
2/26
Step-by-step explanation:
The total number of students = 26 students
Number of students that like maths = 15 students
Number of students that like English = 13 students
Number of students that does not like English or maths = 9
We have to find the number of students that likes both Maths and English.
Therefore,
Let x be the number of student that like both Maths and English subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math
Number of students that like English but not Maths = Number of Students that like English - Number of students that like English and Maths
= 13 - 11 = 2
Therefore, probability that a student chosen at random like English but not Maths.
Probability = Number of events ÷ Number of possible outcomes
Number of events = Number of students that like English but not Maths= 2
Number of Possible outcomes = Total number of students = 26
The probability that a student chosen at random like English but not Maths.
= 2/26
can you please help me fill this out thanks
Answer: [tex]\sqrt{2}[/tex]
Step-by-step explanation:
In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]
Solve for 2.
Write the smaller solution first, and the larger solution second.
(3x – 6)(-x + 3) = 0
smaller x =
larger x =
Answer:
(3x – 6)(-x + 3) = 0
=> 3x - 6 = 0 => x = 6/3 = 2
and
=> -x + 3 = 0 => x = 3
Hope this helps!
:)
solve these and say if they results in irrational or rational please.
[tex]\sqrt{25} +1.75=?\\\sqrt{3}+5.5=? \\\pi +18=?\\\pi +\sqrt{2}[/tex]
Calvin builds a form for a new cement step. The form he builds is 35 1/2in. Long, 20 in. Deep, and 6 in. High. How much cementis needed to fll the form?
Answer:
231.78 lbs
Step-by-step explanation:
total amount of cementis needed= volume of form
volume of form in ft³= length × depth × height
= 35.5/12 × 20/12 × 6/12
= 2.465ft³
density of cement= 94.01651 lb/ft³
mass of cement= density × volume
= 2.465 × 94.01651
= 231.78lb
give that a load of mass 20kg is acted upon by a force of 60N calculate the acceleration of the load
Answer:
[tex]3m/s^2[/tex]
Step-by-step explanation:
the information that we have is:
mass: [tex]m=20kg[/tex]
force applied: [tex]F=60N[/tex]
since we need to find the acceleration, we can use Newton's second law of motion:
[tex]F=ma[/tex]
Where [tex]F[/tex] is the force applied to a mass [tex]m[/tex] which creates an acceleration [tex]a[/tex].
we solve this equation for the acceleration:
[tex]a=\frac{F}{m}[/tex]
and we substitute the known values:
[tex]a=\frac{60N}{20kg} \\\\a=3m/s^2[/tex]
the acceleration of the load is: [tex]3m/s^2[/tex]
What is the answer to this
Answer:
im pretty sure it's c
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.
Answer:
Pr(only one of them will pass the driving test) = 0.38
Step-by-step explanation:
The probability that Ben will pass = 0.8
Let Pr = pribability
Pr(Ben pass) = 0.8
Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8
Pr(Ben fail) = 0.2
The probability that Tom will pass = 0.7
Pr (Tom pass) = 0.7
Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7
Pr (Tom fail) = 0.3
Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)
Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)
Pr(only one pass) = 0.24 + 0.14
Pr(only one pass) = 0.38
Answer:0.38
Step-by-step explanation:
What are the x-intercept and the y-intercept of the graph of 8x – 7y = -56?
Answer:
x-intercept
y=0
8x - 7(0)= -56
8x = -56
x = -7
(-7, 0)
y-intercept x= 0
8(0) -7y = -56
-7y = -56
y = 8
(0, 8)
Step-by-step explanation:
The x - intercept of the equation is, (- 7, 0)
The y - intercept of the equation is, (0, 8)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 8x - 7y = - 56
Now, We have to find the x - intercept as;
Substitute y = 0,
⇒ 8x - 7×0 = - 56
⇒ 8x = - 56
⇒ x = - 56/8
⇒ x = - 7
And, We have to find the y - intercept as;
Substitute x = 0,
⇒ 8x - 7y = - 56
⇒ 8×0 - 7y = - 56
⇒ - 7y = - 56
⇒ 7y = 56
⇒ y = 56 / 7
⇒ y = 8
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When trying to find solutions to the system of equations x+y=3 2x+2y=6 you take several correct steps that lead to the expression 0=0. Which statement is true?
Answer:
They are the same equations. (I don't know what you mean by "true.")
Step-by-step explanation:
If you divide 2x + 2y = 6 by 2, it turns into x + y = 3. This means that the graphs of the lines are the same, or there are infinite solutions.
I am really sorry if this is wrong because I am not really sure what you meant by "Which statement is true?"
Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
Answer:
Plus all the fractions together .
Which equals to 35/4 cm
Step-by-step explanation:
hope it helps you !!
The perimeter of the quadrilateral is P = 8 3/4 cm
Given data:
The perimeter of a quadrilateral is the sum of the lengths of all its sides. A quadrilateral is a polygon with four sides. The formula for finding the perimeter of a quadrilateral depends on the specific type of quadrilateral.
So, the sides of the quadrilateral is represented as:
AB = 3 1/2 cm
BC = 2 cm
CD = 1 4/5 cm
DA = 1 9/20 cm
So, the perimeter is P = 3 1/2 cm + 2 cm + 1 4/5 cm + 1 9/20 cm
On simplifying ,
P = 3.5 cm + 2 cm + 1.8 cm + 1.45 cm
P = 8.75 cm
Hence , the perimeter is P = 8 4/3 cm
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What is 0.83¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answer: 5/6
Step-by-step explanation:
Answer:
the answer is
100÷83
Step-by-step explanation:
hope this helps
what is 5 + 5 /2 - 4 x 10
Step-by-step explanation:
use bodmas
start with multiplication
-4*10 = -40
5+5/2 - 40
addition next
5 + 5/2 = 7.5
7.5 - 40 = -32.5
how to make a dot plot
Answer:
draw a a big L and put your numbers
.
A person invests 10000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the
person leave the
in the bank until it reaches 27400 dollars?
leave the money
r
A = P(1 + -)nt
n
Answer:
The answer is 18.4 months.
What is 1/2 + 2/3? Im stupid so I don't know what this is. idk I'm dumb
Answer:
=7/6 pls mark me as brainlist
Step-by-step explanation:
1/2+2/3
=find lcm = 6
=1x3/2x3 +2x2/3x2
3/6+4/6
=7/6
Answer:
1/2 + 2/3 = 1 1/6
Step-by-step explanation:+
1/2 + 2/3 = ?
Find the common denominator.
3/6 + 4/6 = 7/6
Turn your improper fraction into a mixed number.
1 1/6
