Answer:
25%Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2Probability of the two events above:
1/2*1/2 = 1/4 = 25%Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.
Answer: 7.5
Step-by-step explanation:
A1=1/2pir^2 A2=1/2pir^2
1/2(121pi) 1/2(16pi)
5.5 2
The area of a composite shape is the sum of the areas of its individual shapes
The area of the composite shape is 215.20 square feet.
From the figures, we have the following shapes
A semicircle with a diameter of 22 ftA semicircle with a diameter of 8 ft (i.e. 30ft - 22ft)The area (A) of a semicircle is:
[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]
So, the area of the composite shape is:
[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]
This gives
[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]
[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]
[tex]\mathbf{A = 68.5\pi}[/tex]
[tex]\mathbf{A = 215.20}[/tex]
Hence, the area of the composite shape is 215.20 square feet.
Read more about areas at:
https://brainly.com/question/16741417
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Help me please!!! Fasttt 75 points.
Solve.....
Answer:
-11/12
Step-by-step explanation:
Find the surface area of the prism below. In square meters
9514 1404 393
Answer:
96 m²
Step-by-step explanation:
The total area of the two triangular bases is ...
A = 2(1/2)bh = bh
A = (3 m)(4 m) = 12 m²
The total area of the rectangular faces is ...
A = Ph = (3 m +4 m +5 m)(7 m) = 84 m²
Then the total surface area of the prism is ...
12 m² +84 m² = 96 m² . . . prism surface area
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
65÷b+8×4=20
Put the value of b=5 in equation
65÷5+8×4=20
According to BDMAS rule
13+32=20
45=20
Bring the terms on one side
45-20=25 Answer
Answer:
false
Step-by-step explanation:
use bidmas :)
ok, let's rewrite this for b = 5
65 ÷ 5 + 8 × 4 = 20
now put brackets
(65 ÷ 5) + (8 × 4) = 20
(13) + (32) = 20
13 + 32 = 45
45 ≠ 20
false
hope this helped and good luck!
-cheesetoasty
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph
Answer:
It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.
Step-by-step explanation:
Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:
27 - (4 + 5) = 27 - 9 = 18
27 - (4 + 5) x 3 = 0
Therefore, it took 3 hours for the two to meet.
4 x 3 = 12
Thus, they were 12 miles from Joseph's home when they met.
Find 50% of 152:
Find 25% of 152:
Find 75% of 152:
Answer:
76
38
114
Step-by-step explanation:
50% of 152
= ( 50 / 100 ) x 152
= ( 1 / 2 ) x 152
= 152 / 2
= 76
25% of 152
= ( 25 / 100 ) x 152
= ( 1 / 4 ) x 152
= 152 / 4
= 38
75% of 152
= ( 75 / 100 ) x 152
= ( 3 / 4 ) x 152
= ( 3 x 152 ) / 4
= 3 x 38
= 114
Solve the following inequality for n
Answer:
The answer is n < 6.
Step-by-step explanation:
[tex] \frac{n}{3} < 6 - 4[/tex]
[tex] \frac{n}{3} < 2[/tex]
[tex]n < 2 \times 3[/tex]
[tex]n < 6[/tex]
Therefor, the answer is n < 6.
Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest.
Answer:
N/A
Step-by-step explanation:
Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions
Find the surface area of the prism. 5cm 7cm 4cm
Exposure to ionizing radiation is known to increase the incidence of cancer. One thousand laboratory rats are exposed to identical doses of ionizing radiation, and the incidence of cancer is recorded during subsequent days. The researchers find that the total number of rats that have developed cancer t months after the initial exposure is modeled by for months. Find the rate of growth of the number of cancer cases at the 7th month.
Missing information :
The model was omitted from the question ; the possible model relating to the question was browsed online and could possibly be :
N(t) = 1.07t^2.3 for 0 ≤ t ≤ 10 months
Answer:
30.9 cases per month
Step-by-step explanation:
Given the model to determine the number of rats that have developed cancer after initial exposure ; N(t) = 1.07t^2.3
N(t) = 1.07t^2.3
Take the first derivative of N with respect to t to obtain the rate of change ;
N'(t) = (1.07)(2.3)t^2.3-1
N'(t) = (1.07)(2.3)t^1.3
The rate of growth of cancer cases at the 7th month can be calculated thus :
t = 7
N'(7) = (1.07)(2.3)t^1.3
N'(7) = 1.07 * 2.3 * 7^1.3
N'(7) = 1.07 * 2.3 * 12.549529
N'(7) = 30.884
The rate of growth of cancer at the 7th month is 30.9 cases per month.
Find x when f (x)= 25
find x with the formulaaa
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to
allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the
bank will be applied to the negative balance of the credit account.
The play cost $2,500.00 to produce, and they intend to sell tickets for $7 each. After the play, Betsy will take the ticket proceeds and
deposit them with the bank. If 559 people attend the play's opening night, what will the balance of the bank account be?
Find the product. Simplify.
(x + 7)(x + 4) =
Answer:
Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28
Step-by-step explanation:Answer:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
What is the simplified form?
Answer:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
an object is launched at 4 ft./s from 88 foot tall platform the objects height H in feet after T seconds is given by the equation H=-16T^2+8t+80 when does the object strike the ground
Answer:
1.5seconds
Step-by-step explanation:
When the ball hits the ground, the height is equal to zero. So find t when H=0:
H=16t²+8t+80
0=16t²+8t+80
0=2t²+t+10
0=(2t-3)(t+2)
So (2t-3)=0, or (t+2)=0
So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds
The jeweler has a stock of alloys that are 25% gold, 50% gold, and 82% gold. Choose 2 different alloys that can be used to create an alloy that is 75% gold. Explain why you chose these alloys.
Find the total area of the two figure. Round to the nearest whole number. PLEASE HELP WILL MARK BRAINLIST! THANK YOU!
Answer:
b•h/2
12.8•9/2=57.6
area of the triangle is 57.6
12.8•18.5=236.8
area or rectangle is 236.8
the total area is 57.6+236.8=294.4
I hope this right
factor trinomials x^2-x-6=?
Answer:
(x−2)(x+3)
Step-by-step explanation:
x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)
Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???
Answer:
okay maybe try alliteration...
Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:
Answer:
663
Step-by-step explanation:
the total number of students can be determined using this equation :
(total ratio of Chinese and Indian students / total ratio of students) x n = 468
total ratio of Chinese and Indian students = 4 + 8 = 12
total ratio of students 4 + 8 + 5 = 17
N = TOTAL NUMBER OF STUDENTS
12/17) x n = 468
multiply both sides of the equation by 17/12
n = 663
Cameron runs 2.4 miles 3 days a week. How many miles does he run total in one week?
Answer:
5.6
Step-by-step explanation:
2.4 / 3 = x / 7
2.4 x 7 = 16.8
16.8 ÷ 3 = 5.6
I need help quickly. Please help.
Answer:
Mean:
= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7
= 63 / 7
= 9 (The sum of the numbers divided by the number of numbers)
Median:
= 4, 6, 8, 9, 11, 12, 13
= 9 (The middle number of a list from least to greatest)
Mode:
= NONE (The number that appears the most in a given list)
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
Help pls help plsssssss
Answer:
bro its 10
Step-by-step explanation:
5 kilometers in 30mins and if he stayed at the same rate for an hour he would have ran 10 kilometers cause 5 x 2 = 10
How can you prove a triangle is an equilateral triangle? (4 points)
a
Use the distance formula to see if at least two sides are congruent.
b
Use the slope formula to see if any sides are perpendicular.
c
Use the distance formula to see if all three sides are congruent.
d
Use the slope formula to see if any sides are parallel.
Answer:c
Use the distance formula to see if all three sides are congruent.
Step-by-step explanation:
An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)
To prove a triangle is an equilateral triangle by using the distance formula to see if all three sides are congruent, the correct option is C
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given;
To prove a triangle is an equilateral triangle
Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)
When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.
Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ6
b) Is the relation a function? Use the vertical line test to decide.
Answer:
Step-by-step explanation:
The answer is A U just did that on Khan academy
Answer: A
Step-by-step explanation:
3.5.2 Test (CSI) Question 6 of 12 Use the area of the rectangle to find the area of the triangle. 5 ft 10 ft O A. The area of the triangle is 25 square feet, because the area of the rectangle is 50 square feet O B. The area of the triangle is 25 square feet, because the area of the rectangle is 25 square feet C. The area of the triangle is 50 square feet, because the area of the rectangle is 50 square feet. D. The area of the triangle is 50 square feet, because the area of the rectangle is 100 square feet. SUBMIT PREVIOUS e 99+ Type here to search
Answer:
c
Step-by-step explanation: