Answer:
0.425
Step-by-step explanation:
Given that there are 4 mint biscuits and 1 toffee biscuit in a tin and 5 mint sweets and 3 strawberry sweets in a packet.
So, the total number of biscuit in tin = 4+1= 5 and
Number of mint biscuit in tin = 4
Number of toffee biscuit in tin = 1
So, the probability of picking 1 mint biscuit from tin,
[tex]p_1[/tex]=(Number of mint biscuit in tin)/(Total number of biscuit in the tin)
[tex]\Rightarrow p_1 =4/5 = 0.8[/tex]
The probability of picking 1 toffee biscuit from tin,
[tex]p_2[/tex] =(Number of toffee biscuit in tin)/(Total number of biscuit in the tin)
[tex]\Rightarrow p_2=1/5 = 0.2[/tex]
Similarly, the total number of sweets in the basket = 5+3=8 and
Number of mint sweets in the basket = 5
Number of strawberry sweets in the basket = 3
So, the probability of picking 1 mint sweets from the basket,
[tex]p_3[/tex] =(Number of mint sweets in the basket)/(Total number of sweets in the basket)
[tex]\Rightarrow p_3=5/8 = 0.625[/tex]
The probability of picking 1 strawberry sweets from the basket
[tex]p_4[/tex] =(Number of strawberry sweets in the basket)/(Total number of sweets in the basket)
[tex]\Rightarrow p_4=3/8 = 0.375[/tex]
As Michael takes a biscuit from the tin as well as a sweet from the packet randomly, so the possible combinations can be
A) 1 mint biscuit and 1 mint sweets,
B) 1 toffee biscuit and 1 strawberry sweets,
C) 1 mint biscuit and 1 strawberry sweets, and
D) 1 mint sweets and 1 toffee biscuit.
Here, (C) and (D) are the desired case of either the biscuit is mint, but not both.
So, the probability of either the biscuit is mint, but not both
= Probability of ( 1 mint biscuit and 1 strawberry sweets) or (1 mint sweets and 1 toffee biscuit)
[tex]=p_1 \times p_4 + p_2\times p_3 \\\\=0.8 \times 0.375 + 0.2\times 0.625 \\\\=0.425[/tex]
Hence, the probability of either the biscuit is mint, but not both is 0.425
6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?
Answer:
I will start with (c)
(c) What is the maximum area of the enclosed area?
the maximum area of a rectangle is always given by a square figure
since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long
maximum area = 55 x 55 = 3,025 ft²
(b) What should be the dimensions of the enclosed area?
the dimensions would be 55 ft in length by 55 ft in width
(a) Set up the function A(x) that represent the enclosed area.
perimeter of the rectangle = 220
we have 4 equal sides, so
A(x) = x²
Daniel baked 12 pies in 6 days Rates
What is the square root of 148?
Answer: 12.16
Step-by-step explanation:
Answer: 12.1655250606
Step-by-step explanation: this is the square root of 148 but if you round to a whole number it is 12
In 1-4, write an equation in slope-intercept form to represent each table (just the first 4)
Answer:
Q1 y = 17/2x - 2
Q2 y = -3x + 14
Q3 y = 1/4x
Q4 y = 1/8x + 10
Step-by-step explanation:
See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.
Question Two
You take two points from the table, then you do y2 - y1 over x2 - x1. -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14
Question 3
This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x
The equation in slope intercept form to represent each table is
Q1 y = 17/2x - 2 Q2 y = -3x + 14 Q3 y = 1/4x Q4 y = 1/8x + 10What is slope intercept form ?You ought to be familiar with two-variable linear equations. You should specifically be aware that the graph of these equations is a line. Check out our introduction to two-variable equations if this is new to you.Additionally, you should be knowledgeable with the y-intercept, x-intercept, and slope of linear equations.Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.Q2 : Then, you apply y2 - y1 over x2 - x1 over the two points you took from the table. In other words, 3 divided by -6 is equal to -3. This ought to give you the slope "m". Which means that this question has a slope of -3. We must enter the points from one of the two points we picked from the chart into the formula y = mx + b in order to determine "b," our y-intercept. I decided to do 5 = -3 (3) + b. 5 = - 9 + b when the x is multiplied by m. Thus, we add 9 to itself in order for it to cancel out and then add it to 5. The result is that 14 = b. Our equation is therefore y = -3x + 14.Q3 : This one is quite simple because it is obvious from the table that there is no b or m. just a fixed rate multiplied by x. Take two points out of the calculation, just like we did with the previous question. Over x2 - x1 is y2 - y1. 1 - 0 over 4 - 0. thereby giving us 1/4. Our constant rate of change is 1/4. y = 1/4xLearn more about Slope intercept form refer :
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I beg anybody please
Answer:
if no one answers pic b cuz i got good luck
Step-by-step explanation:
what two numbers multiplied = 6 but added = -5
Answer:
-2, -3
Step-by-step explanation:
-2*-3=6
-2+-3=-5
-2x-3=6
-2+-3=-5
(-2) and (-3) are your answers
solve for x 3(x-8) = -29.7
Answer:
[tex]x = - 1.9 [/tex]
The answer of this equation is:
1.9
a car travels at a speed of 25 miles per hour. the distance it travels in h hours given by the equation d(h)=25h.
estimate how far he will be 2.5 hours into his trip
Brainlest-Pls help me pls thank you sm In advance
Answer: 90 divided by 45 equals 2 45+45=90
Step-by-step explanation:
How do I workout/find the unknown angles please
Answer: x = 135 degrees and y = 225 degrees.
Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.
please help thank you
Answer:
B
Step-by-step explanation:
A=4 so its wrong cause the original one is 10-12=-2
is 15(x+10) largger than 360
Answer:
No it's not
Step-by-step explanation:
15x+15 times 10
15x+150
In which equation does x = 15?
A. 18=-5x-2
B. -9+ 3x = 36
C. 4x + 3 = 15
D. 2x+4 =-36
ОА
OB
D
of the students in a school are in sixth grade. a. How many sixth graders are there if the school has 90 students? b. How many sixth graders are there if the school has 27 students? c. If the school has students, write an expression for the number of sixth-graders in terms of. d. How many students are in the school if 42of them are sixth graders? plz help it's my test
Hiyo! the answer is 20 students :D! so first off we gotta find the exact number of sixth graders, next of when we find the number which is 90, we need to divide or multiply to get our answer. mkay I just noticed there is answer a. b. c . but I know the exact answer is 20. Sorry if i'm missing something :D
Please help me find the area of this!!! 15 points!!
Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
The angle between them is 50°.
So, substitute 60 for a, 70 for b, and 50° for C. This yields:
[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]
Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
What is the range of the data? 2.3 4.5 6.7 1.1 11.6 4.5 11.7 8.5 3.2 6.7 7.9
Answer:
10.6
Step-by-step explanation:
range is the difference between the lowest and the highest number
example: the lowest number wold be 1.1 and the highest is 11.7 you need to subtract them and then you have your answer!!!
The range of the given set of data is 10.8.
The given data is 2.3, 4.5, 6.7, 1.1, 11.6, 4.5, 11.7, 8.5, 3.2, 6.7, 7.9.
We need to find the range of the given data.
What is the range of the data?The range is the difference between the highest and lowest values within a set of numbers. To calculate the range, subtract the smallest number from the largest number in the set.
From the given set of data, we can see that the lowest observation is 1.1 and the highest observation is 11.7.
Now, range=11.7-1.1=10.8
Therefore, the range of the given set of data is 10.8.
To learn more about the range of the data visit:
https://brainly.com/question/20607770.
Don’t know what to do
Answer:
try and solve it sir
Step-by-step explanation:
Answer:
ask your friends of they are intelligent
Plssss help what is the value of c
Answer:
5
Step-by-step explanation: The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
What is the sales tax on a $14,500 truck if the tax rate is 9%. What is the total price of the truck
after the sale tax?
Answer:
15805
Step-by-step explanation:
14,500×9÷100=1,305
14,500+1,305=15,805
For Spirit Day, each 8th-grade homeroom designs a unique twocolor T-shirt. They get to choose from the colors red (R), blue (B), green (G), violet (V), and orange (O). Each T-shirt is a solid color with a different color used for the student's name. What is the probability that a homeroom will have a T-shirt with a combination of blue and violet?
Answer:
P(B and V)=10%
Step-by-step explanation:To solve this poroblema we use the formula of combinations:
C(n,r)=(nr)=n!(r!(n−r)!)
Where n is the number of objects that can be chosen and you choose r from them.
There are 5 colors of shirts.
The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:
5C2= [tex]\frac{5!}{2!(5-2)!}[/tex]
5C2=10
The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:
2C2=1
Then the probability is:
P( B and V)= [tex]\frac{1}{10}[/tex]
=0.1= 10%
[tex]\frac{2C2}{5C2}[/tex]
Answer:
P( B and V)=10%
Step-by-step explanation:
Kenny had 24 pairs of socks before she went on vacation. After vacation she only had 18 pairs. What is the percent decrease of socks from before until after vacation
Answer:
Step-by-step explanation:
25% decrease
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:$68
Step-by-step explanation:
Add $47+$66+$68+$71+$88. You get $340. Divide this by 5 (because there are 5 weeks). You get $68.
Multiply : 1 2/5 x 1/4
Answer:
0.35
Step-by-step explanation:
Answer:
7/20
Step-by-step explanation:
1 2/5 ×1/4=7/20
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters
Answer:
Your anwser is 14 hopw this helpss
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 i know this because the person before me said the same thing.
help T^T ion wanna fail this class
The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was
Answer:
2°C
Step-by-step explanation:
Morning
-5°C
Noon (+3)
-2°C
4pm (+?)
0°C
Equation I used:
(-5) + (3) + x = 0
I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
2m - 3 = 13
what is the answer?
Answer:
m = 8
Step-by-step explanation:
2(8) = 16
16 - 3 = 13
Therefore, m = 8
Use the information to answer the following questions.
The angle measures of a triangle are shown.
Angle A: (5x – 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to 180°. What is the measure of Angle B?
Answer:
I don't know i am new
Step-by-step explanation:
Sorry
if g(x)=4x+14, what is g(x-3)