Probability of a the number will less than 4 is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
Given,
A die will be rolling.
To find the probability of a the number will less than 4.
Formula
Probability of an event = Number of possible outcomes ÷ Total number of outcomes
Here,
Less than 4 means =1,2,3 = 3 times
Total number of outcomes = 6
Hence,
Probability of a the number will less than 4 = [tex]\frac{3}{6} = \frac{1}{2}[/tex]
A gardener is planting two types of trees:
Type A is 10 feet tall and grows at a rate of 21 inches per year.
Type B is 7 feet tall and grows at a rate of 25 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the
same height.
9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.
Step-by-step explanation:
The given is,
Type A is 10 feet tall and grows at a rate of 21 inches per year
Type B is 7 feet tall and grows at a rate of 25 inches per year
Step:1
Convert the rate of grows of tree inch to feet,
For Tree A,
Rate of grow, A = 21 inches per year
= 21 × 0.0833333 ( 1 inch = 0.0833333 feet)
= 1.75 feet per year
For Tree B,
Rate of grow, B = 25 inches per year
= 25 × 0.0833333 ( 1 inch = 0.0833333 feet)
= 2.08333 feet per year
Step:2
Difference in the tall of Tree A & B,
= 10 - 7
= 3 feet
Difference in the rate of grow of tree A & B,
= 2.08333 - 1.75
= 0.3333325 feet per year
Step:3
Year take to both trees are same height,
[tex]= \frac{Difference in the height of tree A & B}{Difference in the rate of grows of A & B}[/tex]
[tex]= \frac{3}{0.3333325}[/tex]
[tex]= 9.00[/tex]
= 9 years
Step:4
Check for solution,
Height of tree = Height of Tree + (Rate of grow × Years)
For A,
= 10 + ( 1.75 × 9 )
= 25.75 feet.........................................(1)
For B,
= 7 + ( 2.08333 × 9 )
= 25.74999
≅ 25.75 feet.....................................(2)
From Equation (1) and (2),
25.75 feet = 25.75 feet
Result:
9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.
Ten students on student council are running for president, vice president, and
secretary. How many different permutations are there for the 3 positions?
Answer:
Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.
Final answer:
There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.
Explanation:
The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.
This is a classic permutation problem in which order matters.
To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as
n! / (n-r)!
where
'!' denotes factorial.
For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:
10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.
Therefore, there are 720 different permutations available for the three positions on the student council.
What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot
√120 / √30 = √(120/30) = √4 = 2
Answer:
A
Step-by-step explanation:
It's A I got it right on Edge
If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours.
x f(x)
1 3,000
2 9,000
3 27,000
4 _[blank]_
Answer:
81,000
Step-by-step explanation:
1 1,000x3= 3,000
2 3,000x3= 9,000
3 9,000x3= 27,000
4 27,000x3= 81,000
The number of bacteria on your phone after 4 hours is 81,000.
Explanation:To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.
Calculating this, we get f(4) = 1,000 * 81 = 81,000.
Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive?
Answer:
1/16
Step-by-step explanation:
Two similar triangles are shown on the coordinate grid: A coordinate plane is shown. Triangle ABC has vertices A at negative 3 comma 2, B at negative 1 comma 0, and C at negative 2 comma negative 1. Triangle A prime B prime C prime has vertices A prime at 6 comma 4, B prime at 2 comma 0, and C prime at 4 comma negative 2. Which set of transformations has been performed on triangle ABC to form triangle A’B’C’?
Answer:
i will go with c
Step-by-step explanation:
Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?
Answer: the answer is down bellow
Step-by-step explanation:
x3-10oo Dimensions ft each S.
The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.
Explanation:Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.
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Britney can buy daffodil bulbs in packages of 3 for $3.33 or in packages of 2 for $2.68. How much money does she save by buying 12 bulbs at the better price?
WILL GIVE BRAINLIST!!!!! :))
Answer:
The better but is 3 for $3.33
12 for $13.32
Step-by-step explanation:
3.33/3 = 1.11
2.68/2 = 1.34
The better buy is 3 for $3.33
1.11 x 12 = 13.32
1.34 x 12 = 16.08
Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!
Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.
Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:
[tex]\[ y = x - 10 \][/tex]
In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:
[tex]\[ y = \frac{x}{4} + 5 \][/tex]
In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
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The probable question may be:
Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.
this is 23 points please help me or i’m gonna fail
Answer:
A
Step-by-step explanation:
What is 7 divided by 588
Answer:
84
Step-by-step explanation:
7 go's in to 58 8 time's bring the 8 down
you get 28 4 x 7 is 28 so it is 84
What is the surface area of the triangular prism shown below
???
Given:
Given that the base of the triangle is 4 cm.
The height of the triangle is 3 cm.
The height of the prism is 8 cm.
The other side of the triangle is 5 cm.
We need to determine the surface area of the triangular prism.
Surface area of the triangular prism:
The surface area of the triangular prism can be determined using the formula,
[tex]SA=bh+(s_1+s_2+s_3)H[/tex]
where b is the base of the triangle,
h is the height of the triangle,
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 4, h = 3, s₁ = 4, s₂ = 3, s₃ = 5 and H = 8, we get;
[tex]SA=(4)(3)+(4+3+5)(8)[/tex]
[tex]SA=12+(12)(8)[/tex]
[tex]SA=12+96[/tex]
[tex]SA=108 \ cm^2[/tex]
Thus, the surface area of the triangular prism is 108 square cm.
Answer:
Step-by-step explanation:
10. A circle has an arc with measure 80° and length 887. What is the
diameter of the circle?
Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the length of the hypotenuse StartRoot 53 EndRoot StartRoot 1,241 EndRoot 53 m 2809 m
Answer:
The answer is 53 or Square Root (sqrt) of 2809
Step-by-step explanation:
a^2+b^2=c^2
28^2+45^2=c^2
784+2025=c^2
c^2=sqrt 2809
c = 53
The hypotenuse of the right triangle is h = 53 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of base of triangle BC = 45 m
The height of the triangle AB = 28 m
And , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying , we get
AC² = AB² + BC²
AC² = 28² + 45²
AC² = 784 + 2025
AC² = 2809
Taking square roots on both sides , we get
The measure of hypotenuse AC = √2809 = 53 m
Hence , the measure of hypotenuse is 53 m
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Given: f(x) = 3 - X; g(x) = -2x
Find g[f(x)]
Answer:
g[f(x)] = -2(3 - x) = -6 + 2x
Step-by-step explanation:
When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:
g[f(x)] = -2(3 - x) = -6 + 2x
Final answer:
To find g[f(x)], we substitute (3 - x) from f(x) into g(x). The solution to g[f(x)] is -6 + 2x.
Explanation:
The question asks us to find the composition of the functions f(x) and g(x), specifically g[f(x)]. To do this, we first evaluate f(x) and then use that result as the input for g(x).
Given that f(x) = 3 - x, we substitute x in g(x) for the entire function f(x).
g(f(x)) = g(3 - x) since g(x) = -2x.
Now we replace the x in g(x) with (3 - x): g(3 - x) = -2(3 - x).
This simplifies to g(f(x)) = -6 + 2x.
The composition g[f(x)] is therefore -6 + 2x.
If each cube has edges 1.5 centimeters long, what is the volume of the prism outlined in blue?
A) 9 cm3
B) 15.5 cm3
C) 81 cm3
D) 91.125 cm3
Answer:
The answer is D) 91.125 cm3
Step-by-step explanation:
PLEASE HELP TUME LIMIT IS 10 MINUTES
Answer:
similar and congruent
Step-by-step explanation:
those are the only words i know
Answer:
congruent and similar
Step-by-step explanation:
A rectangle has an area of 80cm squared and a perimeter of 48cm find the length and width of the rectangle
2 possible solutions.
When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Perimeter of the rectangle = 48 cm. Find expression for length.Perimeter of the rectangle = 2(length + width)
48 = 2(length + x)
24 = length + x
⇒ Length = 24 - x
Step 2: Find the dimensions if area = 80 cmArea of the rectangle = length × width
80 = x (24 - x)
80 = 24x - x²
x² - 24x + 80 = 0
x² - 20x - 4x + 80 = 0
x(x - 20) - 4(x - 20) = 0
(x - 4)(x - 20) = 0
⇒ x = 4, 20
24 - x = 20, 4
So there are two possible answers.
When width is 4 cm, length is 20 cm
When width is 20 cm, length is 4 cm
10. Charlie biked 15 minutes home from school and then walked 12 minutes to the pizza place near his house. This trip was 3.6 miles in total. His rate on his bike is 3 miles per hour less than 5 times his walking rate. In miles per hour, what is Charlie’s speed as he walks and what is his speed as he bikes?
Answer:
3mph and 12mph
Step-by-step explanation:
GIVEN: Charlie biked [tex]15[/tex] minutes home from school and then walked [tex]12[/tex] minutes to the pizza place near his house. This trip was [tex]3.6[/tex] miles in total. His rate on his bike is [tex]3[/tex] miles per hour less than [tex]5[/tex] times his walking rate. In miles per hour.
TO FIND: Charlie’s speed as he walks and his speed as he bikes.
SOLUTION:
Let speed of charlie when he walks be [tex]x\text{ mph}[/tex]
Then speed of charlie as he biked [tex]=5x-3\text{ mph}[/tex]
Total length of trip [tex]=3.6\text{ miles}[/tex]
Total time taken[tex]=27\text{ minutes}=\frac{27}{60}\text{ hour}=\frac{9}{20}\text{hour}[/tex]
Now,
[tex]\text{Distance}=\text{speed}\times\text{time}[/tex]
distance traveled on bike [tex]=(5x-3)\times\frac{15}{60}=\frac{(5x-3)}{4}[/tex]
distance traveled by walking [tex]=x\times\frac{12}{60}=\frac{x}{5}[/tex]
As, [tex]\frac{(5x-3)}{4}+\frac{x}{5}=3.6[/tex]
[tex]\frac{29x-15}{20}=3.6\implies 29x=87[/tex]
[tex]\implies x=3\text{ mph}[/tex]
Speed of Charlie on bike [tex]=5x-3=12\text{ mph}[/tex]
Hence speed of charlie on bike and by walking is 12mph and 3mph respectively
Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
Yes No
b. Is 6.5 a solution of 12x < 78?
Yes No
c. Is -7 a solution of 9x > 45?
Yes No
d. Is 17 a solution of 15 - X2-2? o Yes No
e. Is 6 a solution of x + 12 > 18?
Yes No
The answer is below!
Q: Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
b. Is 6.5 a solution of 12x < 78?
c. Is -7 a solution of 9x > 45?
d. Is 17 a solution of 15 - X2-2?
e. Is 6 a solution of x + 12 > 18
Answer :
No
No
Yes
No
No
JK Fitness Center offers two membership plans. The tables represent the monthly cost, in dollars, of each membership plan based on the
number of visits to the fitness center.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?
PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.
Step-by-step explanation:
From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.
Part A:
25 + 2x = 40 + x
x = 15
plug in any: 40 + 15 = $55
Part B:
Plan A = $45
Plan B = $50
Plan B is $5 more expensive.
After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Part A :
From the table, we can clearly express both plans as Arithmetic sequence.
Plan 1 : First term, a = 27 and common difference, d = 2
Plan 2 : First term, a = 41 and common difference, d = 1
Let n be the number of visits that both plans costs the same.
27 + 2(n - 1) = 41 + (n - 1)
27 + 2n - 2 = 41 + n - 1
2n + 25 = n + 40
n = 15
Cost = 41 + (15 - 1) = $55
Part B :
We have to find the 10th term.
For plan 1 :
Cost at 10th visit = 27 + 2(10 - 1) = $45
For plan 2 :
Cost at 10th visit = 41 + (10 - 1) = $50
The plan 2 is more expensive at the 10th visit.
Hence at the 10th visit, plan 2 is more expensive.
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Can someone plz help me with this hint it’s not D plz someone help me I’m not sure I understand this
Answer:
The answer is C, or 3/5.
What is the y-intercept of y = 50 - 1?
Answer:
49 or -1
Step-by-step explanation:
(im going to assume you meant y=50-1 and not y=50x-1)
The intercept would literally be 49 since 50-1=49
y=50x-1 would mean the y intercept is -1
Answer:
the y intercept is (0,49) Plz give branliest i need to level up
Step-by-step explanation:
50 - 1 = 49
y always equals 49
so the y axis is at x coordinate 0 and y intercept is at the y axis
so the point is (0,49)
Anyone can help me with this?
15. A scale drawing of a rectangular field has a length of 4.5 inches and a width of
3 inches. If the scale is 0.5 inch : 10 feet, what is the actual width of the field?
A. 6 feet
B. 15 feet
C. 30 feet
D. 60 feet
Find the mode for the image below
Answer:
7
Step-by-step explanation:
Mode is the number that repeats the most
7 is repeating the most
The mode for the given bar image shown is: 7
How to find the mode of the dataset?In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.
From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.
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is 0.3π rational or irrational
Answer:
irrational
Step-by-step explanation:
Answer:
0.3π is a irrational number.
Step-by-step explanation:
Hope this helps! :)
If f(x)=3x-9, what is the value of f(-8)
1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x and you're left with 1/3x
Find the range of each data set.
Answer:
set one 11
set two 208
set to has a wider spread of data
Step-by-step explanation:
Answer:
11 for question number 1.
208 for question number 2.
Step-by-step explanation:
1. Range: 12 - 1 = 11
2. Range: 230 - 22 = 208
One of the parks mounds is 63 feet in height. If the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?
Answer:
see the explanation
Step-by-step explanation:
we know that
The perimeter of rectangle is given by the formula
[tex]P=2(L+W)[/tex]
where
L is the length
W is the width
In this problem we have
[tex]P=322\ yd[/tex]
substitute
[tex]322=2(L+W)[/tex]
simplify
[tex]L+W=161\ yd[/tex]
so
The side lengths of the rectangle could be any pair of values whose sum must equal 161 yards
see the attached figure to better understand the problem
With the given height approximate the length of the rectangle
[tex]L=144\ ft[/tex]
Convert to yards
[tex]1\ yd=3\ ft[/tex]
so
[tex]144\ ft=144/3=48\ yd[/tex]
Find the width
[tex]48+W=161\\W=161-48\\W=113\ yd[/tex]
therefore
The side lengths of the rectangle could be 48 yd by 113 yd