If lines m and n are parallel, then the value of x must be 4.
How to find the value of x?
If lines m and n are parallel, then the measures of the angles in the correspondent quadrants must be the same ones.
Here we can see that the two angles are in the third quadrant, thus, these angles have the same measure. Then we can write this as:
6x² = 96
Now we can solve this for x, we will get:
x² = 96/6
x² = 16
x = √16
x = 4
That is the value of 4.
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
Construct a 90 % confidence interval of the population proportion using the given information.
x = 105 n =150
The 90% confidence interval based on the data provided will be (0.6152, 0.7848)
How to calculate the confidence intervalIt should be noted that standard error = ✓[(p * q) / n]
p = population proportion
q = 1 - p
n = sample size
sample proportion = x / n = 105 / 150 = 0.7
standard error = ✓(p * q) / n] = sqrt[(0.7 * 0.3) / 150] = 0.0516
margin of error = 1.645 * 0.0516 = 0.0848
Confidence interval = sample proportion ± margin of error
= 0.7 ± 0.0848
= (0.6152, 0.7848)
Learn more about confidence interval on
https://brainly.com/question/15712887
#SPJ1
On Low Budget Airlines, the maximum weight of the luggage a passenger can bring without charge is 50 pounds. Mary Ellen has decided to weigh each item as she packs her bag. Use rounding to the nearest one pound to estimate the weight of her luggage.
The estimated weight is pounds.
Answer: 50 pounds
Step-by-step explanation:
The maximum weight of the luggage a passenger can bring without charge is 50 pounds.
Mary Ellen has decided to weigh each item as she packs her bag.
weight of Suitcase = 3.65 lbs
weight of clothing = 4.35 lbs
weight of shoes = 8.67 lbs
weight of toiletries = 11.35 lbs
weight of extras = 21.63 lbs
Now we will add the weights of each items
Total weight = 3.65 + 4.35 + 8.67 + 11.35 + 21.63 = 49.65
Rounding to the nearest to the one pound will be = 50 lbs
(Since 0.65 is greater than 0.5 so by rounding off 0.65 will become 1.)
Therefore the estimated weight is 50 pounds.
the slope between the points -3, 0 and 0, -1 ?
Answer:
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{-1-0}{0+3}[/tex]
m = [tex]\frac{-1}{3}[/tex]
Answer: -[tex]\frac{1}{3}[/tex]
What is the value of X? (Thx for any help!)
Answer:
x=109 y=100
Step-by-step explanation:
Answer:
x=100
y=109
Step-by-step explanation:
For any quadrilateral (4-sided shape) inscribed in a circle (all 4 vertices of the quadrilateral are on the edge of the circle), there is a special relationship between certain pairs of angles within the quadrilateral.
Specifically, opposite angles (angles across from each other) must sum (add) to 180 degrees.
The angle measuring 80 degrees is opposite the angle measuring x degrees, so x + 80 = 180, implying x = 100.
In this case, the angle measuring 71 degrees is opposite the angle measuring y degrees. So, 71 + y = 180, which implies y = 109.
Select all true statements about the graph that represents y=2x(x−11) .
The correct answers for the quadratic equation are:
Roots of a quadratic equation are the points where y = 0.
Abscissa of a quadratic equation are the points where x = 0.
If the equation of a quadratic equation is in the vertex form,
y = a(x - h)² + k
Vertex of the U-shaped curve will be (h, k)
Given in the question, where the equation of the u-shaped curve is
y = 2x(x - 11)
Convert the equation in the vertex form,
y = 2x² - 22x
y = 2(x² - 11x)
y = 2 * (x² - 2 ( 5.5x) + (5.5)² - (5.5)²)
y = 2[(x - 5.5)² - 30.25]
y = 2(x - 5.5)² - 60.5
Hence, the vertex of the U-shaped curve will be (5.5, -60.5).
For x-intercepts,
Substitute y = 0,
0 = 2x(x - 11)
⇒ x = 0, 11
Therefore, roots of the parabola will be (0, 0) and (11, 0).
and the ordinate of the vertex is x = 5.5
Learn more about the quadratic equations:
https://brainly.com/question/30098550
#SPJ1
Solve for x. Round to the nearest tenth, if necessary.
The calculated value of x in the right triangle is 8.7
Calculating the value of x in the right triangleFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The value of x in the right triangle can be calculated using the following sine ratio
sin(75) = x/9
Cross multiply the equation
So, we have
x = 9 * sin(75)
Evaluate the products
x = 8.7
Hence, the value of x in the right triangle is 8.7
Read more about right triangle at
https://brainly.com/question/2437195
#SPJ1
Enter your answer by filling in the boxes.
The correct statement regarding the end behavior of the function is given as follows:
As x -> -∞, f(x) -> +∞.As x -> +∞, f(x) -> +∞.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function in this problem is given as follows:
f(x) = 2(x - 4)² + 3.
We have the square of a number, which is always positive, hence the function goes to positive infinity when the input goes to negative infinity/positive infinity.
More can be learned about the end behavior of a function at brainly.com/question/1365136
#SPJ1
Solve for the missing angle measurements for angles a, b, c, and d
Note that the angle measurements are given as follows:
A = 145° (Sum of angles on a straight line.
B = 35° Opposite angles
C = 145° Opposite angels
D) = 35° supplementary angels.
What is the explanation of the above statements?a) Note that Sum of angles on a straight line=180° and are therefore supplementary
b) All opposite angle are equal, since ∠b is opposite to 35°, then ∠b = 35°
c) 145° is also opposite to ∠c
d) when two angles are supplementary, it means that they sum up to 180°
Learn more about angle measurements;
https://brainly.com/question/31186705
#SPJ1
Full Question:
Solve for the missing angle measurements for angles a, b, c, and d
See the attached imge
Twenty middle-aged men with glucose readings between 90 milligrams per deciliter and 120 milligrams per deciliter of blood were selected randomly from the population of similar male patients at a large local hospital. Ten of the 20 men were assigned randomly to group A and received a placebo. The other 10 men were assigned to group B and received a new glucose drug. After two months, posttreatment glucose readings were taken for all 20 men and were compared with pretreatment readings. The reduction in glucose level (Pretreatment reading − Posttreatment reading) for each man in the study is shown here.
Group A (placebo) reduction (in milligrams per deciliter): 12, 8, 17, 7, 20, 2, 5, 9, 12, 6
Group B (glucose drug) reduction (in milligrams per deciliter): 29, 31, 13, 19, 21, 5, 24, 12, 8, 21
Create and interpret a 98% confidence interval for the difference in the placebo and the new drug. (10 points)
A: The data provides convincing evidence, at α=0.02 level, that the glucose drug is effective in reducing mean glucose level.
B: The 98% confidence interval for the difference in mean reduction of glucose level between placebo and drug groups is 3.5 to 13.7 mg/dL, supporting the effectiveness of the glucose drug
A: To test whether the glucose drug is effective in producing a reduction in mean glucose level, we will use a two-sample t-test with equal variances assuming normality of the differences.
Let μA be the true mean reduction in glucose level for the placebo group and μB be the true mean reduction in glucose level for the glucose drug group. The null hypothesis is H0: μA - μB = 0, and the alternative hypothesis is Ha: μA - μB < 0
Using the given data, the sample mean reduction for the placebo group is 9.7 mg/dL and for the glucose drug group is 18.3 mg/dL. The pooled sample standard deviation is 8.064 mg/dL, and the t-statistic is calculated to be:
t = (xB - xA) / (sP × √(1/nA + 1/nB))
= (18.3 - 9.7) / (8.064 × √(1/10 + 1/10))
= 2.551
where xA and xB are the sample means, sP is the pooled sample standard deviation, and nA and nB are the sample sizes.
B: To create a 98% confidence interval for the difference in the placebo and the new drug, we will use the formula:
CI = (xB - xA) ± tα/2,sP × √(1/nA + 1/nB)
where xA and xB are the sample means, sP is the pooled sample standard deviation, nA and nB are the sample sizes, and tα/2,sP is the t-value corresponding to a 98% confidence level with 18 degrees of freedom.
Using the values from Part A, we have:
CI = (18.3 - 9.7) ± 2.101 × 8.064 × √(1/10 + 1/10)
= 8.6 ± 5.103
To learn more about interval follow the link:
https://brainly.com/question/24131141
#SPJ1
The correct question is:
Twenty middle-aged men with glucose readings between 90 milligrams per deciliter and 120 milligrams per deciliter of blood were selected randomly from the population of similar male patients at a large local hospital. Ten of the 20 men were assigned randomly to group A and received a placebo. The other 10 men were assigned to group B and received a new glucose drug. After two months, posttreatment glucose readings were taken for all 20 men and were compared with pretreatment readings. The reduction in glucose level (Pretreatment reading − Posttreatment reading) for each man in the study is shown here.
Group A (placebo) reduction (in milligrams per deciliter): 12, 8, 17, 7, 20, 2, 5, 9, 12, 6
Group B (glucose drug) reduction (in milligrams per deciliter): 29, 31, 13, 19, 21, 5, 24, 12, 8, 21
Part A: Do the data provide convincing evidence, at the α = 0.02 level, that the glucose drug is effective in producing a reduction in mean glucose level?
Part B: Create and interpret a 98% confidence interval for the difference in the placebo and the new drug.
What is the equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number? How can the equation be simplified if the vertex is at the origin?
Note that equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number is (y-k)² = 4p(x-h).
How can the equation be simplified if the vertex is at the origin?The equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number, is:
(y - k)² = 4p( x - h)
If the vertex is at the origin (h = 0, k = 0 ), the equation an be simplified to....
y² = 4px
where p is still a nonzero real number.
Learn more about parabolas:
https://brainly.com/question/31142122
#SPJ1
I need some assistance with this ? Please
Answer:
I am sorry this is just so new for me like what even is an "imaginary" solution, i am in 6th grade wth
need help with this geometry problem
The shaded area of the circle is around 65.44 square meters in size.
How to find area?To find the area of the shaded region, subtract the area of sector FGH from the area of sector FEGH.
The area of sector FEGH is:
A1 = (1/2) r² θ₁
where r = radius of the larger circle and θ₁ = angle subtended by the arc EH.
Since EH = 30 m and the radius of the larger circle = 18 m (half of 10 + 8):
θ₁ = (EH arc length) / r = 30/18π radians
So,
A₁ = (1/2) (18)² (30/18π) = 270/π m²
The area of sector FGH is:
A₂ = (1/2) r² θ₂
where θ₂ = angle subtended by the arc GH.
Since GH is 8 m and the radius of the larger circle is 18 m:
θ2 = (GH arc length) / r = 8/18π radians
So,
A₂ = (1/2) (18)² (8/18π) = 64/π m²
Therefore, the area of the shaded region is:
A = A₁ - A₂ = (270/π) - (64/π) = 206/π ≈ 65.44 m²
Hence, the area of the shaded region is approximately 65.44 square meters.
Find out more on concentric circles here: https://brainly.com/question/23838979
#SPJ1
A recursive rule for a geometric sequence is a1=
4
9
;an=3an−1.
What is the explicit rule for this sequence?
ANSWER:
4
9
(3n−1) just took the test
The explicit rule for the geometric sequence with a recursive rule of a1=4/9 and an=3an-1 is: an = (4/9) * (3)^(n-1)
What is the explicit rule for this sequence?To find the explicit rule for a geometric sequence, we use the formula:
an = a1 * r^(n-1)
where a1 is the first term, r is the common ratio, and n is the term number.
Given the recursive rule for this geometric sequence as a1=4/9 and an=3an-1, we can find the common ratio:
an = 3an-1
an/an-1 = 3/1
r = 3
Now we can use the formula to find the explicit rule:
an = a1 * r^(n-1)
an = (4/9) * (3)^(n-1)
Therefore, the explicit rule is: an = (4/9) * (3)^(n-1)
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
Solve for x. Round to the nearest tenth, if necessary.
Answer:
160
Step-by-step explanation:
The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp)
Adjacent = 80
Hypotenuse = x
therefore, cos(60) = 80/x
1/2 = 80/x
x = 80 x 2 = 160
PLEASE SOMEONE !! 15 POINTS!!!
Answer:
The answer is -5
Step-by-step explanation:
Each number moves down 5 as it moves to the right 1. Right is positive, and down is negative. -5 divided by 1 is -5.
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took
13.5
m
2
13.5 m
2
13, point, 5, start text, space, m, end text, squared of material to build the cube.
What is the volume inside the giant sugar cube?
Give an exact answer (do not round).
The volume of the inside of the giant sugar cube would be = 3.375cm³
How to calculate the volume of a cube using the given surface area?To calculate the volume of a cube, the side length should first be determined from the surface area given.
But the formula for surface area of a cube = 6a²
That is;
surface area = 13.5cm²
a = ?
13.5 = 6(a)²
13.5/6 = a²
a = √13.5/6
= √2.25
= 1.5cm
Therefore the volume of the cube = a³
= 1.5³
= 3.375cm³
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
Complete question:
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5m² of material to build the cube. What is the volume inside the giant sugar cube? Give an exact answer (do not round).
Suppose a normal distribution has a mean of 34 and a standard deviation of
2. What is the probability that a data value is between 30 and 36? Round your
answer to the nearest tenth of a percent.
Answer:
it’s 86.6%
Step-by-step explanation:
could be wrong
. Suppose that the following represents the graph of the function f(x).
N
a. (5 points) Determine the x intercepts and give a number line for the function
f(x). Are there any horizontal or vertical asymptotes?
b. (5 points) Give a number line for f'(x) and classify any local maxima or minima.
c. (5 points) Give a number line for f"(x) and list any points of inflection.
The x intercepts are (-2, 0), (2, 0) and (3, 0) and it has vertical asymptotes at x = 4 and x = -4
Determining the x interceptsThe x intercepts are the points where the graph intersect with x-axis
In this case, the points are (-2, 0), (2, 0) and (3, 0)
So, the x intercepts are (-2, 0), (2, 0) and (3, 0)
Are there any horizontal or vertical asymptotes?The graph has no horizontal asymptotes
However, it has vertical asymptotes at x = 4 and x = -4
The local maxima or minimaFrom the graph, the local maxima or minima are
Minima (3, -1) and Maxima (-1, 12)
The point of inflectionThis is the points where the graph changes it concave-ness
From the graph, we have the point to be (1, 13/2)
Read more about functions at
https://brainly.com/question/4138300
#SPJ1
y=7x-3 what slope and y intercept
Answer:
Slope = 14.000/2.000 = 7.000 x-intercept = 3/7 = 0.42857 y-intercept = -3/1 = -3.00000
y intercept = -3
slope = 7/1
Find the principal needed now to get the given amount; that is, find the present value. To get $4000 after 2 1/4 years at 9% compounded daily The present value of $4000 is $? (Round to the nearest cent as needed.)
Step-by-step explanation:
Compounding formula
FV = PV ( 1 + i )^n FV = Future value (4000) PV = present value
i = decimal interest per PERIOD = .09/365
n = periods = 2 1/4 yrs * 365 days/yr = 821.25 periods
4000 = PV ( 1 + .09/365)^821.25
Solve for PV = $ 3266.83
Natasha is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 15 1 4 inches. She needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Natasha need for her project? Mixed number
pleaseeeee i need helppp in this
The resulting matrix formed by performing R2 -> 4R1 + R2 on M is given as follows:
[tex]M = \left[\begin{array}{ccc}-4&3&1\\-18&9&8\end{array}\right][/tex]
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]M = \left[\begin{array}{ccc}-4&3&1\\-2&-3&r\end{array}\right][/tex]
The rows of the matrix are given as follows:
R1: -4, 3 and 1.R2: -2, -3 and 4.Hence the row 2 of the resulting matrix has the elements given as follows:
Column 1: 4 x -4 - 2 = -18.Column 2: 4 x 3 - 3 = 9.Column 3: 4 x 1 + 4 = 8.More can be learned about operations with matrices at brainly.com/question/16901354
#SPJ1
How to solve -10(x-1.7)=-3 by expanding first
To solve the equation -10(x-1.7)=-3 by expanding first, we need to apply the distributive property of multiplication.
Expanding -10(x-1.7), we get
-10x + 17 = -3
Now we can solve for x by isolating the variable on one side of the equation. To do this, we'll add 10x to both sides of the equation
-10x + 17 + 10x = -3 + 10x
Simplifying, we get
17 = 10x - 3
Next, we add 3 to both sides of the equation
17 + 3 = 10x - 3 + 3
Simplifying, we get
20 = 10x
Finally, we divide both sides of the equation by 10 to isolate x
20/10 = 10x/10
Simplifying, we get
2 = x
Therefore, the solution to the equation -10(x-1.7)=-3 by expanding first is x = 2.
To know more about distributive property here
https://brainly.com/question/6276874
#SPJ1
The distance between Town P and Town Q is 237.5 Km. At 11.30 a.m a van travels from
Town P to Town Q at an average speed of 35 km/h. At the same time, a car travels from
Town Q to Town P along the same route at an average speed of 60 km/h.
a)At what time will the vehicles meet on the way?
b) How far will each vehicle have travelled when they meet?
Answer:
So when the two vehicles meet, the van has travelled 87.5 km and the car has travelled 150 km.
Step-by-step explanation:
(a) Let's call the time it takes for the two vehicles to meet "t". We know that the distance between the two towns is 237.5 km, and the combined speed of the two vehicles is 35 km/h + 60 km/h = 95 km/h. Using the formula distance = speed × time:
237.5 = 95t
Solving for t:
t = 237.5/95
t ≈ 2.5 hours
So the two vehicles will meet on the way 2.5 hours after 11.30 a.m., which is at 2.00 p.m.
(b) To find how far each vehicle has traveled when they meet, we can use the formula distance = speed × time again. The van travels at 35 km/h for 2.5 hours, so it travels:
distance = speed × time = 35 km/h × 2.5 hours = 87.5 km
The car travels at 60 km/h for 2.5 hours, so it travels:
distance = speed × time = 60 km/h × 2.5 hours = 150 km
So when the two vehicles meet, the van has traveled 87.5 km and the car has traveled 150 km.
Suppose that the functions q and r are defined as follows.
Answer:
Step-by-step explanation:
Given:
q(x) = -3x+4
r(x) = -4x
(r₀q)(4) => r(q(4)) solve for q(4) first
q(4) = -3(4)+4 > substitute 4 in for x
q(4) = -12 +4
q(4) = -8 > now substitute this into r(q(4))
r(-8) = -4(-8) > substitute -8 in for x
r(-8) = 32
(r₀q)(4) = 32
(q₀r)(4) => q(r(4)) solve for r(4) first
r(4) = -4(4) > substitute 4 for x
r(4) =-16 > substitute this into q(x)
q(-16) = -3(-16)+4
q(-16) = 48 +4
q(-16) = 52
(q₀r)(4) = 52
I-Ready
What is the distance between point P and point Q?
Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base and height 4 millimeters, and the third side 5.7 millimeters. The height of the prism is 3 millimeters.
The surface area of the triangular prism is approximately 44.29 square millimeters.
What is surface area?
Surface area is the total area that the surface of a three-dimensional object covers. It is a measure of the amount of space that the surface of an object occupies. Surface area is usually measured in square units such as square meters, square centimeters, square inches, or square feet.
What is the area?
The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area.
The area of a plane figure is the space enclosed by its boundary.
According to the given information:
To find the surface area of a triangular prism, we need to add up the area of all the faces. A triangular prism has three rectangular faces and two triangular faces.
Let's start by finding the area of the triangular faces. The base of the triangular prism is a right triangle with base 4 millimeters, height 4 millimeters, and hypotenuse 5.7 millimeters. We can use the Pythagorean theorem to find the missing side:
[tex]a^2 + b^2 = c^2\\4^2 + 4^2 = 5.7^2[/tex]
16 + 16 = 32.49
32 = 32.49 - 0.49
32 = 32
So the missing side has length [tex]\sqrt{(5.7^2 - 4^2)} =3.69 millimeters.[/tex] This is the base of each triangular face.
The height of the triangular prism is 3 millimeters, so the height of each triangular face is also 3 millimeters.
The area of each triangular face is:
(1/2) × base × height
= (1/2) × 3.69 × 3
≈ 5.54 square millimeters
So the total area of the two triangular faces is:
2 × 5.54= 11.08 square millimeters
Now let's find the area of each rectangular face. The length of each rectangular face is the same as the base of the triangular face, which is 3.69 millimeters. The width of each rectangular face is the height of the triangular prism, which is 3 millimeters.
The area of each rectangular face is:
length × width
= 3.69 × 3
≈ 11.07 square millimeters
So the total area of the three rectangular faces is:
3 × 11.07
= 33.21 square millimeters
To find the surface area of the triangular prism, we add up the area of all five faces:
11.08 + 33.21
= 44.29 square millimeters
Therefore, the surface area of the triangular prism is approximately 44.29 square millimeters.
To know more about Surface Area visit: https://brainly.com/question/29298005
#SPJ1
Which of the following pairs consists of equivalent fractions? 3/9 and 5/15 ,12/20 and 20/25,5/6 and 6/5,6/12 and3/4
Answer:
[tex]The[/tex] [tex]Answer[/tex] [tex]Is:[/tex] [tex]\frac{3}{9}[/tex] [tex]&[/tex]& [tex]\frac{5}{15}[/tex]
Step-by-step explanation:
Divide by 4 , 2nd fraction Divide by 5:
3/4 ≠ 4/5
5/6 ≠ 6/5 We can already see it.
Divide by 3. . .
2/4 ≠ 3/4
Divide by 3 , 2nd fraction Divide by 5:
1/3 = 1/3 [tex]Perfect![/tex]
The answer is, [tex]\frac{3}{9}[/tex] & [tex]\frac{5}{15}[/tex]
100 POINTS!!!
Question
Answer:
A) Sequence 2: 15,13,11,9,7
A) Ordered pairs (12,15), (16,13), (19,11), (22,9), (25,7)
B) Sequence 1: 1,5,17,53,161
B) Sequence 2: 6,15,33,69,141
B) Ordered pairs (1,6), (5,15), (17,33), (53, 69) (161,141)
Step-by-step explanation:
Helping in the name of Jesus.
Answer:
A) Sequence 2: 15,13,11,9,7
A) Ordered pairs (12,15), (16,13), (19,11), (22,9), (25,7)
B) Sequence 1: 1,5,17,53,161
B) Sequence 2: 6,15,33,69,141
B) Ordered pairs (1,6), (5,15), (17,33), (53, 69) (161,141)
Step-by-step explanation:
Helping in the name of typing.
Please if you know the answer put the steps on thank you.
Answer:
1. # of people who predicted they would pass = 30
2. # of people who predicted they would fail = 20
3. # of people who predicted they would pass and actually passed = 27
4. # of people who predicted they would pass and actually failed = 3
5. # of people who predicted they would fail and actually passed = 11
6. # of people who predicted they would fail and actually failed = 9
Step-by-step explanation:
1. # of people who predicted they would
The total number of people who took the test is 50.The number of people who predicted they would pass is 30.The number of people who predicted they would fail is 20 (since 50 - 30 = 20)Let x be the number of people who predicted fail and actually passed the test. Since three times as many people who passed predicted pass than predicted fail, we know that 3x is the number of people who predicted pass and actually passed the test. Therefore, the total number of people who passed the test is x + 3x = 4x, and we know that 36 people passed the test, so 4x = 36, and x = 9.Since x is the number of people who predicted fail and actually passed the test, then the number of people who predicted fail and actually failed the test is 20 - x = 20 - 9 = 11.The number of people who predicted pass and actually passed the test is 3x = 3(9) = 27.The number of people who predicted pass and actually failed the test is 30 - 27 = 3.I also filled in the frequency table by extracting it from Brainly and drawing on it to show how the math works and fits in the table.