Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
This question may be relatively tricky. Since no specific order is stated or implied, it does not matter whether the vendor chooses vanilla or strawberry first, as long as the vendor chooses both.
Therefore, for the first flavor the vendor can either choose vanilla or strawberry. There is a [tex]\frac{2}{4}=\frac{1}{2}[/tex] chance of this happening.
For the second flavor, the vendor must choose the one they didn't pick for the first flavor (either strawberry or vanilla). There is a [tex]\frac{1}{4}[/tex] chance they do so.
Therefore, there is a [tex]\frac{1}{2}\cdot \frac{1}{4}=\boxed{\frac{1}{8}}[/tex] chance that vanilla and strawberry are chosen.
Help Please!
Please answer the question and please don't type a random thing just to get points.
Step-by-step explanation:
We need to find a midpoint. A midpoint splits the two end coordinates to meet at a point.
Use midpoint formula
[tex] \frac{ - 2 + 10}{2} = 4[/tex]
[tex] \frac{ - 11 + 1}{2} = - 5[/tex]
So the coordinates will be at
(4,-5)
Please help me I don’t understand this at all
Answer:
you see on the right where the ( - ) are put the dot at -3 which is on the line because y } -x (which means your on the negative side) + 3 is -6 so put the dot on 6
The fencing William chooses costs $29.53 per foot, including installation. What will the fencing cost? Show your work.
Answer:
[tex]C = 29.53x[/tex]
Step-by-step explanation:
Given
[tex]Unit\ cost = \$29.53[/tex]
Required
The cost of fencing (C)
The cost is calculated as:
[tex]C = Unit\ Cost * Perimeter\ of fencing[/tex]
Let:
[tex]x \to Perimeter\ of fencing[/tex]
So, we have:
[tex]C = Unit\ Cost * x[/tex]
[tex]C = 29.53 * x[/tex]
[tex]C = 29.53x[/tex]
The question cannot be solved further since the dimension of the fence is not given
If you know the dimension, calculate the fence perimeter and substitute the value for x
what is the slope of the line that passes through these two points?
Answer:
The answer seems to be 3/1.
Step-by-step explanation:
Use the equation:
(y2-y1)/(x2-x1)
using factoring what is the solution to the equation 2x^2+3x-5=0
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)
Solve for b.
- 32 + 106 = -22
Answer:
-30+10b=-22
32-22=10b
10b=10
-32+10=-22
hope it helps
2. What is the equation of a line that has a slope of 3 and a y-intercept of
-2?
y=-3x + 2
y = 3x + 2
y = 3x - 2
3x - 2y = 6
Answer:
y=3x-2
Step-by-step explanation:
y = mx + b
m = slope
b=yint
y=3(slope)x+ -2(y int)
HELPPP ME PLSSSS
I NEED THIS FOR MY CLASS
Answer:
hii im looking at the same thing you just have to do the multiplication on that
Step-by-step explanation:
Use the zeros and the labeled point to write the quadratic function represented by the graph.
Answer:
The quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].
Step-by-step explanation:
Parabolae are defined by second order polynomials, that is, a polynomial of the form:
[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a, b, c[/tex] - Coefficients.
By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: [tex](x_{1}, y_{1}) = (2, 0)[/tex], [tex](x_{2}, y_{2}) = (4, 0)[/tex] and [tex](x_{3}, y_{3}) = (6, 8)[/tex], and the resulting system of linear equations is:
[tex]4\cdot a + 2\cdot b + c = 0[/tex] (2)
[tex]16\cdot a + 4\cdot b + c = 0[/tex] (3)
[tex]36\cdot a + 6\cdot b + c = 8[/tex] (4)
The solution of the system of linear equations is:
[tex]a = 1, b = -6, c = 8[/tex]
Hence, the quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].
please help me asappppppp!
9514 1404 393
Answer:
a) ADC
b) ABC
c) ACB
d) CAD, DAB
e) CDm, BDA
f) ABD
Step-by-step explanation:
a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)
∠ADC has side DC
__
b) Any angle name with B in the middle will have B as its vertex.
∠ABD is an angle with vertex B
__
c) Ray CE is coincident with ray CD, so ...
∠ACE is another name for ∠ACD
__
d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.
∠BAD and ∠CAD are adjacent angles
__
e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...
CDm and BDA are two vertically opposite angles
__
f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.
∠ABD is the supplement of ∠EBD
A farm categorizes its chickens into 3 classes according to the weight: small, medium, andbig. For any chicken in this farm, the distribution of the weight (denoted byW) follows a GaussianPDF with mean 3.8 lb and standard deviation 0.6 lb. The categories follow the following rule
small: W <= 3.5lb
medium: 3.5 <= 4.9lb
Large: W > 4.9lb
Required:
a. What are the probabilities that a chicken is in the classes of small, medium, and large, respectively?
b. Find c such that PW < c = 0.6.
c. Suppose that 5 chickens are selected at random. What is the probability that 3 out of the 5 will be small?
Answer:
A) P ( chicken is small ) = 0.3085, P ( chicken is medium ) = 0.6621
P (chicken is large ) = 0.0294
B) C = 3.9233
C) 0.1404
Step-by-step explanation:
A) Probabilities
i) P ( chicken is small )
P( w ≤ 3.5 ) = Fw ( 3 .5 )
= F ( 3.5 - 3.8 / 0.6 )
= F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]
= 1 - 0.6915 ( from Table )
= 0.3085
ii) P ( chicken is medium )
P ( 3.5 < w < 4.9 )
P ( w < 4.9 ) - P ( w < 3.5 )
= Fw ( 4.9 ) - Fw ( 3.5 )
= F ( 4.9 - 3.8 / 0.6 ) - 0.3085
= 0.9706 - 0.3085 = 0.6621
iii) P (chicken is large )
= P ( w > 4.9 )
= 1 - P ( w < 4.9 )
= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294
B) Find c
Given: P( w < c ) = 0.6
Fw ( c ) = 0.6
F ( c - 3.8 / 0.6 ) = 0.6
c - 3.8 / 0.6 = 0.2055 ( from table )
∴C = 3.9233
C) P ( 3 out of 5 = small )
P ( 3 of 5 = small ) = 0.1404
attached below is a detailed solution
Which type of correlation does the scatter plot show
Answer:
D
Step-by-step explanation:
From the given scatter plot, it is positive correlation.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Interpretation of correlation
A scatter plot with increasing values of both variables can be said to have a positive correlation. A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.From the given graph,
The coordinates points are in increasing order.
Therefore, the correlation is positive.
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What is the slope of the line through (-5, -10) and (-1, 5)
Answer:
Slope = 15/4
Step-by-step explanation:
Use the slope formula and you'll get the same answer.
Hope this helps:)
-2/3×3/5+5/2-3/5×1/6
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]
Need help if anyone can help me that’ll be nice
Answer:
times up the outside bc we know the outside is the area
Which is the solution to the equation below? 4n+5=25-3n
Answer:
[tex]n = \frac{20}{7}[/tex]
Step-by-step explanation:
[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]
Answer:
n = 20/7
Step-by-step explanation:
4n+5=25-3n
Add 3n to each side
4n+3n+5=25-3n+3n
7n +5 = 25
Subtract 5 from each side
7n+5-5=25-5
7n = 20
Divide by 7
7n/7 = 20/7
n = 20/7
How many 34 cup servings of granola can be measured from a box containing six cups of granola?
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of servings can be found by dividing the quantity available by the amount per serving.
(6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings
Need help before 7:00
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
What is the value of y?
Using the Pythagorean theorem,
[tex]6^{2}+y^{2}=(3+9)^{2}\\\\36+y^2=144\\\\y^2=108\\\\y=\boxed{6\sqrt{3}}[/tex]
Using the quadratic formula to solve x2 35-x, what are the values of x?
-12-121
-12-11
54.
12/19
51 21
2
Answer:
x = (-1 ± √21) / 2
The first choice
Step-by-step explanation:
x² = 5 - x
Put in standard form
x² + x - 5 = 0
Use quadratic equation
x = ( -b ± √( b² - 4ac) ) / (2a)
Plug in a = 1, b = 1 , c = -5
x = (-1 ± √( 1² - 4*1*(-5)) ) / 2
evaluate
x = (-1 ± √21) / 2
Expand and simplify 4(p+2)-3(5-6p)
Step-by-step explanation:
4p+8-15+18p=04p+18p=-8+1522p-7
Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s)
Answer:
The speed is 60 mph.
Step-by-step explanation:
distance = 42 miles
Let he drove with speed v and time is t.
distance = speed x time
42 = v t ..... (1)
42 = (v + 10)(t - 1/10) ..... (2)
[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]
So, the speed cannot be negative so the speed is 60 mph.
Evaluate the statistics expression:39C1
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
How many lines of symmetry does the symbol for a state capital have?
The solution is:
The figure has 4 lines of symmetry.
- A vertical line through the middle of the figure.
- A horizontal line through the middle of the figure.
- The two diagonals through the figure are lines of symmetry too.
What is line of symmetry?In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
here, we have,
Explanation
Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.
For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.
So, the other lines of symmetry for this include
- A horizontal line through the middle of the figure
- The two diagonals through the figure are lines of symmetry too.
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Jeremy read 243 pages on Saturday. He read 53 fewer pages on Sunday.
How many pages did he read in all?
243 = the pages read on Saturday
243 - 53 = 190 = the pages read on Sunday
190 + 243 = 433 = total pages read
Answer = 433
if someone can explain this it would really help.
Answer:
6
Step-by-step explanation:
KL = 26-(11+9) = 26-20 =6
Answer:
KL is 6
Step-by-step explanation:
IL is 26, IJ = 9 JK= 11
IL= IJ + JK + KL
26= 9 + 11 + KL
Rearrange
KL= 9 + 11 - 26
= 6
Please help me I am stressed out
Answer:
a) 0.3 liters
b) 3 ÷ 10 = 0.3 liters
Step-by-step explanation:
3 ÷ 10
3 × 1/10
0.3
WILL MARK BRAINLIEST PLEASE HELP
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.
Plzz help me
Answer:
Area of the bookmark = 52.56 cm²
Step-by-step explanation:
The two semicircles attached at both end of the rectangle will give us a full circle.
Therefore,
Area of the bookmark = area of rectangle + Area of a circle
Area of the bookmark = L × W + πr²
Length (L) = 10 cm
Width (W) = 4 cm
radius (r) = ½(4) = 2 cm
π = 3.14
Plug in the values into the equation
Area of bookmark = 10 × 4 + 3.14 × 2²
= 40 + 12.56
= 52.56 cm²
Answer ASAP! Please answer! please answer (NOT HARD)
Answer:
221
Step-by-step explanation:
5(3)2-4
Answer:
221
Step-by-step explanation:
