Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.
Answer:
0
Step-by-step explanation:
Rewrite the equation as x^2-3x+9=0
find the determinant.
D = b^2-4ac = (-3)^2-4*1*9 <0
no solution
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
6 seconds
Step-by-step explanation:
- ( 6 - 2)^2 + 16
- (4)^2 + 16
- 16 + 16
= 0
The ball is hits the ground or is at 0 height when x = 6.
Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj
Answer:
The obtuse angle is 120°.The acute angle is 60°.Step-by-step explanation:
This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.
We can form the expression
[tex]A = \frac{O}{2}[/tex]
Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}
Using all the given information, we have
[tex]O + \frac{O}{2}=180\°[/tex]
Solving for [tex]O[/tex], we have
[tex]\frac{3O}{2}=180\\ O=120\°[/tex]
Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.
Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£
[tex]tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps[/tex]
Answer:
Tom=£166
Ben=£581
Step-by-step explanation:
You are graphing square ABCD in the coordinate plane. The following three of the vertices of the square: A(4,-7), B(8,-7), and C(8,-3.
find the number of regular tiles each of 8 cm by 6 cm that need to be fitted into a rectangular floor of 3.6 m by 2.4 m
Answer: 18 tiles
Step-by-step explanation:
Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.
Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m
No. Of tiles that can fit the floor =
8.64 / 0.48 = 18
Which expression represents the number of feet that are in x yards?
A)
12x
B)
36x
C)
3x
D)
x
3
pLS Help will mark brainlyiest
Answer:
C) 3x
Step-by-step explanation:
There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.
the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area
Answer:
301.44 cm ^ 2
Step-by-step explanation:
We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.
the area of the base, being a circle is pi * r ^ 2
the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l
the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:
l ^ 2 = 6 ^ 2 + 8 ^ 2
l ^ 2 = 100
l = 10
Therefore, we can replace:
A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6
A = 301.44
It means that the total surface area is 301.44 cm ^ 2
First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85
Answer:
Proper fraction.
Step-by-step explanation:
[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]
LMN is a right triangle. True or False
Answer:
False
Step-by-step explanation:
Let us check using Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)
Putting in the above formula
[tex]14^2 = 13^2 + 5^2[/tex]
196 = 169+25
196 ≠ 194
So, It is not a right angled triangle
Please help. How can this set be expressed using inequalities?
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE GREATEST THAT I SAW BEFORE THIS ONE SO JUST ANSWER IT TRY TO DO A SWIMMING RELATED ONE YA THX
Instructions:
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality-ON A NUMBER LINE
Explain what your solution means in the context of the problem.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by [tex]3x+3\leq 30[/tex].
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Question 19 / 50
In a class of forty students, one fifth of the students also play on the school's
football team. If four more students from the class join the football team, what
percentage of students in the class will be on the football team?
25%
30%
0 33%
O 35%
40%
Submit Answer
Answer: 30%
Step-by-step explanation:
1/5th of students = 1/5 x 40 = 8
If 4 more students join, they will be (8+4) 12 students
Percentage will be 12/40 x 100 = 30%
Onsider the enlargement of the triangle with a scale factor of 8 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Side A corresponds with a side with length of 2 centimeters. Side A = 2(8) = 16 cm. What is the length of side B?
Answer: Incomplete question
Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining this topic which is SIMILAR TRIANGLES.
When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.
Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.
The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.
Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.
These can be expressed mathematically as follows;
If A = 16, a = 2 and b = 10 then B would be calculated as follows;
A/a = B/b
16/2 = B/10
By cross multiplication, you now have
16 * 10 = 2 * B
160/2 = B
80 = B
Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.
Answer:
its 40 because the dude above is an but face (sorry) (not sorry u suk)
Step-by-step explanation:
welcum
what’s the answers ?
B and D
Step-by-step explanation:
I'm pretty sure its B because an acute angel measure less than 90°
Which statement best describes the function below
Answer:
Option D. will be the answer.
Step-by-step explanation:
Given function is f(x) = 2x³ + 2x² - x
Table of input and output:
Input (x) -2 -1 0 1 2
Output (y) -6 1 0 3 22
Option (A).
From the graph attached,
It passes the vertical line test.
Option (B).
Since every input value gives a unique output value, it's not a many-to-one function.
Option (C).
It's a function.
Option (D).
It's a one-to-one function.
Answer: It is a many-to-one function.
Step-by-step explanation:
just did the test
Cheap and fast gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample? Interviewing every 5th customer to come into the station
A machine is programmed to make a horizontal cut along
the x-axis, trimming the sides of the satellite dish. What is
the resulting width of the satellite dish, in feet?
Answer:12ft
Step-by-step explanation:
As per linear equation, the resulting width of the satellite dish is 12 feet.
What is a linear equation?A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.
The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).
Therefore, the width of the satellite dish is
= (6 + 6) feet
= 12 feet
Therefore, the width is 12 feet.
Learn more about a linear equation here: https://brainly.com/question/16908943
#SPJ3
Would someone help me with this?
Answer:
A,E
Step-by-step explanation:
A The minimum number of pages read was 24. The smallest number is the dot on the left side which is at 24
E The mean is the middle line in the box, this is at 48
HELP ME ASAP FOR BRANETEST I MEAN IT >_
Answer:1 1/6
Step-by-step explanation:
plzz answer this qustion i will make brainliest
Answer:
By the Pythagorean Theorem
[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]
In the figure triangles ABD(red) and ADE(green) are similars because:
AED=DAB=90
ADE common angle
Then [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]
[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
Multiply.Write your anwser in simplest form. 7/12 x 3/4
Answer:
Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.
the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle
Answer:
b => base => 40 cm
h => altitude => 30 cm
A = h*b/2
h=b-10
600=(b-10)b/2
600 = (b^2-10b)/2
1200=b^2-10b
b^2-10b-1200=0
(b-40)(b+30)=0
b=40 cm
h=b-10 = 40-10=30
Please help!! Will give brainliest!
Solve for z show work
Answer:
18 1/2
Step-by-step explanation:
1/2z = 9 1/4
1/2z = 37/4
z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)
z = 18 1/2
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Complete question:
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.
Answer:
In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.
We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.
Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.
Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.
The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
C. $452115.44
Step-by-step explanation:
To solve this, we will follow the steps below;
first write down the formula for compound interest
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
where A is the ending amount
P represent the principal
r represent the interest rate
n represent the number of compounding a year
t represent the time {in years)
from he question above
p= $318 000
r = 0.071
n = 4 since is quarterly
t= 5
we can now proceed to insert the values into the formula
A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt
=318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)
= $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20
=$318 000 [1+0.01775] ^20
= $318 000 [1.01775] ^20
=$318 000× 1.421747
≈$452 115.44
He will have $452 115.44 in the account
Mateo's wage is £420 per week.
He spends 1/3 of his wage on food.
35% goes on the household bills and the rest is saved.
How much does Mateo save each week?
Answer:
He saves £133 every week
If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of be?
Answer:
C'(1, 2 )
Step-by-step explanation:
The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )
The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)
Step-by-step explanation:
y + 2. = -2(x - 5)
y + 2 = -2x + 10.
y = -2x + 8
