Answer:
1. D) 75 inches
2. A) 27 square feet
Step-by-step explanation:
1. You need to convert 6 feet to inches. In one foot, there are 12 inches. Multiply 6 by 12 to find the number of inches in 6 feet. Add 3 inches to the product to find the total number of inches.
6 × 12 = 72
72 + 3 = 75
You will have 75 inches in total.
2. Use the formula to solve. You are given the base and the height already. Simply plug in and solve.
A = 1/2BH
A = 1/2(6)(9)
A = 3(9)
A = 27 ft²
The area is 27 ft².
Answer:
Step-by-step explanation:
Write the following product in scientific notation: (12.3 × 10^8)(1.06 × 10^−7).
Answer:
[tex] 1.3038 \times {10}^{2} [/tex]
Step-by-step explanation:
[tex] (12.3\times 10^8) (1.06\times 10^{-7})\\ = 12.3 \times 1.06 \times {10}^{8} \times {10}^{ - 7} \\ = 13.038 \times {10}^{8 - 7} \\ = 13.038 \times {10}^{1} \\ = 1.3038 \times {10}^{2} [/tex]
Answer:
[tex]1,3038 . 10^{2}[/tex]
Step-by-step explanation:
(12.3 × 10^8)(1.06 × 10^−7)
12.3 × 10^8 × 1.06 × 10^−7
12.3 × 1.06 × 10^8 × 10^−7
Rule : [tex]a^{b} . a^{c} = a^{b + c}[/tex]10^8 × 10^−7 = 10^(8 -7) = 10^1
12.3 × 1.06 × 10^8 × 10^−7 = 12.3 × 1.06 × 10^1
12.3 × 1.06 =13.038
13.038 × 10^1 = 1,3038 × 10^2
Hope this helps ^-^
what is the value of the expression {4×[6+(18-7)]}÷1/3
Answer:
{4*[6+(18-7)] } ÷1/3
{4*[6+18+7] }÷1/3
{24+72+28}÷1/3
{124}÷1/3
124*3/1
372/1=372
How do you write 345,000,000,000 in scientific notation
Answer:
[tex] 3.45 \times {10}^{11} [/tex]
Step-by-step Explanation:
[tex]345,000,000,000 = 3.45 \times {10}^{11} \\ [/tex]
Buying a house is most likely a long-term goal for a person of which of these
ages?
A. 19 years old
B. 79 years old
C. 69 years old
O
D. 59 years old
Answer:
A. 19 years old
Step-by-step explanation:
A person at the age of 19 is probably still in college . He/She is probably investing more time and finance in his/her education. A person at age 19 is still building his or her career . He/she is likely to have limited working experience. He/she has more years ahead of him to invest his little income(that is if he has any) for a longer term plan like owning a house and building a business.
In fact at age 19 a person is more concern in his/her career development and studies. Buying a house is most likely a long time goal for a person of 19 years old because he has so many year ahead of him to gather or create wealth for himself.
The other ages 59, 79 and 69 years are individuals who have probably amassed wealth . They probably have over 3 decades of working experience and this working years will reflect in their savings. people at this age have shorter time to work or are probably even retired.
Answer:
A. 19 years old
Step-by-step explanation:
19 years old because usually by the time someone between the ages of 59 and 79 should already own or be renting a house if they have set their financial goals correctly.
Q. Three horses A, B, and C are in a race, A is twice as likely to win
as B and B is twice as likely to win as C. What are their
respective probabilities of winning?
Which expression represents 25!/(25-12)!12!
Answer:
Combination 25 to 12
Step-by-step explanation:
[tex]C^{12} _{25}[/tex]
The expression 25! / [(25 - 12)! x 12!] represents the combination.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Let a be the number of items selected from the group of n.
We know that the combination is given by,
ⁿCₐ = n! / [(n - a)! x a!]
The expression is given below.
⇒ 25! / [(25 - 12)! x 12!]
Then the expression can be written as,
⇒ ²⁵C₁₂
Then the expression 25! / [(25 - 12)! x 12!] represents the combination.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Please answer this correctly
Answer:
63.2 = y
Step-by-step explanation:
The perimeter is the sum of all the sides
P = 7.8+ y+37.6 + y
171.8 = 7.8+ y+37.6 + y
Combine like terms
171.8 = 45.4 + 2y
Subtract 45.4 from both sides
171.8-45.4 = 45.4 + 2y -45.4
126.4 = 2y
Divide each side by 2
126.4/2 = 2y/2
63.2 = y
Calculate each probability
given that P(A) = 0.2, P(B)
= 0.8, and A & B are
independent.
Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,
[tex]P(A/B) = P(A)\\\\\frac{P(A \ and \ B)}{P(B)} = P(A)\\\\Thus, P(A/B) = \frac{P(A \ and \ B)}{P(B)}\\\\P(A \ and \ B) = P(A/B) *P(B)[/tex]
= 0.7 x 0.8
= 0.56
A rectangular board is 1.5 meters long and 1.2 meters wide. What is the area of the board in square millimeters?
1 meter = 1000mm
Convert the dimensions to mm:
1.5 x 1000 = 1500 mm
1.2 x1000 = 1200 mm
Area = length x width
Area = 1500 x 1200 = 1,800,000 square mm
Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water is this per hour? (Round your answer to the nearest whole number.)
Answer:
16 cubic feet per hour
Step-by-step explanation:
We want to convert from cubic inch per minute to cubic feet per hour,
We can use the standard conversion rate:
1 cubic inch per minute = 0.0347222 cubic feet per hour
=> 462 cubic inch per minute = 462 * 0.0347222 = 16.04 cubic feet per hour
Approximating to whole number, it is 16 cubic feet per hour.
Answer: Option 16 cubic feet
Step-by-step explanation:
Which is the best buy?
12 tins of fish at K7.80 or 6 tins of fish at K4.20?
Divide price by quantity of each and compare:
7.80 / 12 = o.65 per tin
4.20 / 6 = 0.70 per tin
12 for 7.80 is less per tin, so is the Best Buy.
Please answer this correctly
Answer:
50 km
Step-by-step explanation:
As the figures are given similar ,
56/v = 84/75
v = 56 × 75/84
v = 50 km
Answer:
v = 50
Step-by-step explanation:
The trapezoids are similar, so set up a proportion like so:
[tex]\frac{56}{v} =\frac{84}{75}[/tex]
→Cross multiply:
[tex]\frac{4200}{84v}[/tex]
→Divide 4200 by 84:
v = 50
A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15. From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively. Suppose that a cost overrun is experienced by the agency. What is the probability that the firm involved is firm B
Answer:
68.11% probability that the firm involved is firm B
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Cost overrun
Event B: Agency B used.
A certain federal agency employs three consulting firms (A, B and C) with probabilities 0.40, 0.45 and 0.15.
This means that [tex]P(B) = 0.45[/tex]
From past experiences, it is known that the probability of cost overruns for the firms are 0.01, 0.14, and 0.17, respectively.
This means that [tex]P(A|B) = 0.14[/tex]
Probability of cost overrun.
Firm A is used 40% of the time, with 1% of these having cost overrun. B is used 45%, with 14% of these having cost overruns. C is used 15% of the time, with 17% of these having cost overruns.
So
[tex]P(A) = 0.4*0.01 + 0.45*0.14 + 0.15*0.17 = 0.0925[/tex]
What is the probability that the firm involved is firm B
[tex]P(B|A) = \frac{0.45*0.14}{0.0925} = 0.6811[/tex]
68.11% probability that the firm involved is firm B
the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
Answer:
Old adult
Step-by-step explanation:
Because about eighty percent of adult suffer from blood pressure.
The growth in the mouse population at a certain county dump can be modeled by the exponential function A(t)= 906e0.012t, where t is the number of months since the population was first recorded. Estimate the population after 36 months.
Answer:
[tex] A(t) = 906 e^{0.012t}[/tex]
Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 months into the function and we got:
[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]
So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.
Step-by-step explanation:
We know that the population can be represented with this formula:
[tex] A(t) = 906 e^{0.012t}[/tex]
Where t is the number of months since the population was first recorded. And we want to find the population after 36 months so we need to replace t=36 monthsinto the function and we got:
[tex] A(36) = 906 e^{0.012*36}= 1395.54[/tex]
So then we can conclude that after 36 months the population of mouse is between 1385 and 1396.
If 24 tomatoes cost $3.55 how much does 6 tomatoes cost?
Will mark brainlest for correct answer!
Answer:
0.89
Step-by-step explanation:
First, let’s find out what one tomato costs. To do this, we need to find the unit rate.
To find the unit rate, divide the cost by the number of tomatoes.
cost/number of tomatoes
It costs $3.55 for 24 tomatoes.
cost=3.55
number of tomatoes=24
Substitute these values in.
3.55/24
0.147916666666667
Each tomato costs $0.147916666666667
Now, we have to find out what 6 tomatoes cost.
Multiply the number of tomatoes by the cost of one tomato
number of tomatoes * cost of one
number of tomatoes=6
cost of one= 0.147916666666667
Substitute these values in.
6* 0.147916666666667
0.8875
Round to the nearest cent or hundredth.
The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.
0.89
6 tomatoes will cost about 0.89.
Please answer this correctly
Answer:
6 cm^2
Solution,
Volume of cube=1 cm^3
Volume of cube=l^3
or,1=(l)^3
or,l=1*1*1
length=2 cm
Again,
Surface area of cube= 6(a)^2
=6*(1)^2
=6*1
=6 cm^2
hope it helps
Good luck on your assignment
What’s the correct answer for this?
Answer:
BC = 67
Step-by-step explanation:
Since both tangents are originating from a single point, they are equal, rest in the attached file
The cost of 12 pairs of shoes is $960. what is the cost of 1 pair of shoes?
Answer:
$80 for 1 pair of shoes
divide $960 by 12
What would I get by solving by polynomials?
Answer:
x=0 or x=3 or x= -3⅘
Step-by-step explanation:
Please see attached picture for full solution.
Another way to solve it is to factorise x out from the equation from the beginning. This would leave you with
x(5x² +4x -57x)=0
Then you can factorise the quadratic equation.
x(x -3)(5x +19)= 0
And solve it just like we did above.
x=0 or x-3=0 or 5x+19=0
x=3 or 5x= -19
x= -3⅘
In the picture, I used synthetic division but long division works too!
Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.
Site I Site II Site III Site IV
16 19 30 19
25 7 20 24
6 33 10 13
24 2 47 34
14 21 11
15 12
Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.
Answer:
Step-by-step explanation:
Hello!
The objective is to test if the population mean of three-circle red-on-white sheds is equal to the four excavation sites.
To compare the population means you have to apply an ANOVA. For this test the variable of interest is
X: number of three-circle red-on-white sheds.
There is only one factor: "Site" with four treatments "I, II, III; IV"
H₀: μ₁= μ₂= μ₃= μ₄
H₁: At least one population mean is different.
α: 0.05
[tex]F= \frac{MS_{Treatment}}{MS_{Error}} ~~F_{K-1;N-K}[/tex]
Df treatments: k-1= 4-1= 3 (k= nº of treatments)
Df errors: N-K= 21-4= 17 (N= total observations for all treatments)
[tex]F_{H_0}= \frac{102.72}{117.08}= 0.88[/tex]
p-value: 0.4723
Using the p-value approach the decision rule is:
p-value ≤ α, reject the null hypothesis.
p-value > α, do not reject the null hypothesis.
The p-value is greater than the level of significance, the decision is to reject the null hypothesis.
Using a 5% significance level, there is not significant evidence to reject the null hypothesis. Then you can conclude that the population mean three-circle red-on-white sherd count is equal to all the excavation sites.
I hope this helps!
If the frame of a Ferris wheel is a circle with a 10 meter diameter, what is the circumference of this circle?
Answer:
C = 10π
Step-by-step explanation:
C = Dπ
D = 10
C = 10π
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 10 pi m
We can approximate pi by 3.14
C = 3.14 * 10
C =31.4m
or we can approximate pi by using the pi button
C =31.41592654m
A tree harvester estimates the trunk of a tree to have a height of about 36 meters and a base diameter of about 0.5 meter. The wood of the tree has a density of about 610 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred. in kilograms
Answer:
The mass of wood is 4309.65 kg.
Step-by-step explanation:
Volume of a cylinder is:
[tex]V = \pi r^{2} h[/tex]
Where [tex]r[/tex] is the radius of base of cylinder
and [tex]h[/tex] is the height of the cylinder
[tex]r=\dfrac{d}{2}[/tex]
[tex]d[/tex] is the diameter of base of cylinder.
A tree's trunk is in the shape of cylinder only. And we are given the following details:
[tex]d = 0.5m\\\Rightarrow r = \dfrac{0.5}{2} m[/tex]
[tex]h =36 m[/tex]
[tex]V = \pi (\dfrac{0.5}{2})^2 \times 36\\\Rightarrow V = 7.065\ m^3[/tex]
Density of wood of tree = 610 kg per cubic meter
Mass of trunk = Volume [tex]\times[/tex] density
[tex]\Rightarrow 610 \times 7.065\\\Rightarrow 4309.65\ kg[/tex]
Hence, mass of trunk is 4309.65 kg.
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
A.
In 4,231, the value of the digit 3 is 110 the value of the digit 3 in 3,421.
B.
In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.
C.
In 4,231, the value of the digit 3 is 1100 the value of the digit 3 in 3,421.
D.
In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.
Answer:
A.
In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.
Step-by-step explanation:
We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.
So to get the actual division factor, let's take 3300 and divide it by 30,
3300/30 = 110
So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421
Answer: C In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421
Step-by-step explanation:
3,000 divided by 30 equals 100
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t, y = e−4t, z = 5t − t5; (0, 1, 0) x(t), y(t), z(t) = t,1−4t,5t Illustrate by graphing both the curve and the tangent line on a common screen.
Answer:
Step-by-step explanation:
At the point (0, 1,0) t = 0
Find the tangent vector:
[tex]\frac{dx}{dt}= 1[/tex]
[tex]\frac{dy}{dt}= -4e^{-4t}[/tex]
[tex]\frac{dz}{dt}=5-5t^4[/tex]
The tangent vector for all points [tex]\vec v(t)[/tex] is
[tex]\vec v(t) = \hat {i}-4e^{-4t}\hat{j}+(5-5t^4)\hat{k}[/tex]
[tex]\rightarrow \vec v (0)= \hat{i}-4\hat{j}[/tex]
The vector equation of the tangent line is
[tex](x,y,z) = (0,1,0)+s(\hat{i}-4\hat{j})[/tex]
The parametric equation for this line are
[tex]x= s[/tex]
[tex]y=1-4s[/tex]
[tex]z=0[/tex]
Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are
x=s
y=1-4s
z=0
What is the parametric equation?In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
At the point (0, 1,0) t = 0
Find the tangent vector:
[tex]\dfrac{dx}{dt}=1[/tex]
[tex]\dfrac{dy}{dt}=-4e^{-4t}[/tex]
[tex]\dfrac{dz}{dt}=5-5t^4[/tex]
The tangent vector for all points is
[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k[/tex]
[tex]v(0)=i-4j[/tex]
The vector equation of the tangent line is
[tex](x,y,z)=(0,1,0)+s(i-4j)[/tex]
The parametric equation for this line is
[tex]x=s\\\\y=1-4s\\\\z=0[/tex]
To know more about parametric equations follow
https://brainly.com/question/51019
Solve for the value of x
Answer with explanation.
Answer:
D
Step-by-step explanation:
ill give you brainiest if your right !!!!
Answer:
12m - 4
☆ putting the value of m in the above formula
12 × 4 - 4
= 48 - 4
= 44
6r - 4
☆ Putting the value of r in the above formula
6 × 6 - 4
= 36 - 4
= 32
(03.04) What is the vertex of the graph of y = −4(x + 2)2 + 5? (1 point) (2, 5) (−2, 5) (5, −2) (5, 2)
Answer:
(-2, 5)
Step-by-step explanation:
The form you're trying to match is the vertex form of the equation of a parabola:
y = a(x -h)^2 +k . . . . . . . vertex (h, k)
You have ...
y = -4(x +2)^2 +5
Comparing forms, you see that a=-4, h=-2, k=5.
Then the vertex (h, k) is (-2, 5).
Si: F(x) = 2x + 4 ; R(x) = x ; calcula : R(F(0))
Answer: 4
Step-by-step explanation:
Given
[tex]F(x)=2x+4[/tex]
[tex]R(x)=x[/tex]
We need to find [tex]R(F(x))[/tex] at [tex]x=0[/tex]
[tex]R(F(x))=[2x+4][/tex]
[tex]R(F(x))=2x+4[/tex]
[tex]R(F(0))=2\times 1+4=4[/tex]
[tex]R(F(0))=4[/tex]
