Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
An equilateral triangle has perimeter 57cm, what is the length of one of the sides?
Answer:
19 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides the same length
P = 3s where s is the side length
57 = 3s
Divide each side by 3
57/3 = 3s/3
19 =s
How many triangles exist with the given angle measures?
Answer: An infinite number
We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like. They'll all have the same shape but different sizes.
Answer:
1
Step-by-step explanation:
find the length of the unknown side round your answer to the nearest 10th
Answer:
4.4 ft
Step-by-step explanation:
The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is
[tex]a^2+b^2=c^2[/tex]
Let's sustitute these for the values we have in our problem (measured in feet)
[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]
19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.
A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?
Answer:
11.76
Step-by-step explanation:
We are given that,
Total number of students = 340
Students that prefer cheese pizza = 40
Students that prefer pepperoni pizza = 28
Thus, we get that,
The proportion of students that prefers cheese pizza =
i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%
Hence, 11.76% of the students prefer cheese pizza.
The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?
Answer:
mark brainlyest and I will
The value 250 represents the predicted value of antique in year 2014.
Given Expression,
[tex]250\times(1.12)^{t}[/tex]
Here [tex]t[/tex] represents the no. of years since 2014.
Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.
Hence the value 250 represents the predicted value of antique in year 2014.
For more details on Decay rate problems follow the link:
https://brainly.com/question/8725872
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
The area of the shaded region is [tex]18\ \text{units}^2[/tex].
Step-by-step explanation:
On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
b is base and h is height
From this figure, each box is a square of side 1 unit say.
Its height will be 4 units and its base is 9 units
So,
[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]
So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].
A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.
1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!
Answer:
batch 1
3 cups cashews
batch 2
2/6 or 1/3 cups (simplified) of pistachios
batch 3
1 1/3 cups of almonds
2 cups of cashews
simplify x^2+(y-9)^2=
Answer: Simplify each term.
x^2+y^2−18y+81
Step-by-step explanation:
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!
Step-by-step explanation:
Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!
Answer: Your eyelids are doing it’s thing.
Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.
what are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?
The correct question is:
Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?
(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x
is (0,5). [
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.
(4) Neither graph has a y-intercept.
Answer:
(2) and (3) are true.
Step-by-step explanation:
The correct options are:
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0
Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?
F. Find the absolute value of negative three.
G. Find the opposite of positive three.
H. Find the absolute vaule of positive three.
J. Find the opposite of negative three.
Answer:
F
Step-by-step explanation:
Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
Learn more about the volumes, click;
https://brainly.com/question/13338592
#SPJ7
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?
Answer:
$60
Step-by-step explanation:
SI = (PRT)/100
SI = Simple Interest
P = Principal
R = Rate ( in decimal form)
T = Time
SI = (1200 x .5 x 1)/100
SI = 6000 / 100
SI = 60
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
what do I do if thre are 2 middles in a mean
Answer:
If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.
Mark as brainliest please I need a few more :D
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
Read more about quadratic functions at:
https://brainly.com/question/11631534
Which expression can be used to find the surface area of the following rectangular prism?
A.15+15+10+10+6+6
B.10+6
C.10+10+6+6
D.15+15+10+10+6
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Answer:
is C=64
Step-by-step explanation:
Answer:
c=64
Step-by-step explanation:
I took the test
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
Which fraction is greater than 3/5
4/6
6/12
3/8
4/10
Answer:
a.) 4/6
Step-by-step explanation:
3/5 = .6
4/6 = .666666666667
6/12= 0.5
3/8= .375
4/10= .4
Answer: 4/6
Step-by-step explanation:
IT IS THE BIGGEST. :)
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.
Answer:
3^5 = 243 square feet
Step-by-step explanation:
Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:
1. Multiply powers:
A = 3² * 3³
2. Expand each power:
A = (3*3) * (3*3*3)
3. Simplify:
[tex]A = 3^5[/tex]
The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.
The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
The complete sentences are actually the way to solve the question and can be completed as mentioned below:
A rectangle with a length of 3 cubed feet and a width of 3 squared feet.
Find the area.
1. Multiply powers: Area = 3² · 3³
2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)
3. Simplify: Area = [tex]\bold{3^5}[/tex]
The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.
Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
Learn more about the Area:
https://brainly.com/question/1631786
5x+2y = 10
Identify the y-intercept of the
following equation.
Answer:
y intercept = 10
hope this answer helped
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer
