A photograph measuring 4 inches wide and 5 inches long is enlarged to make
a wall mural. If the mural is 100 inches wide, how long is the mural?
A. 500 inches
B. 400 inches
C. 125 inches
D. 80 inches
Answer:
150 inch
Step-by-step explanation:
4x = 120 · 5
4x = 600
x = 600 ÷ 4
x = 150 inches
In this diagram use pythagoras theorem to calculate the length of the marked side
Answer:
[tex] 5\sqrt{7} [/tex]
Step-by-step explanation:
using Pythagoras theorem
[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]
[tex]d = 5 \sqrt{7} [/tex]
Step-by-step explanation:
Hyponues²= Base²+Height ²
20cm²=Base²+15cm²
400cm-225cm=H²
175=H²
5√7 Answer
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?
Answer: 1/7
Step-by-step explanation: 12/22 • 11/21 • 10/20
The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.
Total outcomes = number of ways of selecting fruits in the basket
Total fruits = 10 + 12 = 22
Total number of outcomes = C(22, 3) = 1540
Total number of favourable outcomes = C(12, 3) = 220
Probability = 220/1540
Probability = 0.142
Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Find the value of x in the isosceles triangle below then find the measure of the base angle.
x = __°
Measure of 1 base angle = __°
Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so:
5x + 9 = 8x - 30 [congruent angles have equal measure]9 = 3x - 30 [subtract 5x from both sides]39 = 3x [add 30 to both sides]x = 13 [divide both sides by 3]Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]
n. A jury consists of 12 members, and each member must vote either guilty or not guilty. Assume that the vote of each member is independent Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70% What is the probability that there is an inconclusive (tied) voting outcome
Answer:
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
Step-by-step explanation:
For each juror, there are only two possible outcomes. Either they vote correctly, or they do not. The probability of a juror voting correctly is independent of any other juror. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 members
This means that [tex]n = 12[/tex]
Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70%
This means that [tex]p = 0.7[/tex]
What is the probability that there is an inconclusive (tied) voting outcome?
Same number(12/2 = 6) of votes for each option, so P(X = 6).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{12,6}.(0.7)^{6}.(0.3)^{6} = 0.0792[/tex]
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
What is the area of a square that has 2/4 units on each side
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
You are teaching the concept of estimation with multiplication. Some of the students are struggling. Which of the following is the best approach?
20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
What is equivalent to 3n+2(1-4n)
Answer:
-5n + 2
Step-by-step explanation:
distribute 2 into (1 - 4n)
3n + 2 - 8n = -5n + 2
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please
9514 1404 393
Answer:
C = 95°D = 72°F = 108°Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have ...
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
Answer:
36
Step-by-step explanation:
please someone help me with this ASAP with the workout!!
Answer:
71 degrees
Step-by-step explanation
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on blue. Tony wins when the spinners lands on red. Which spinner should be used to make the game fair?
Answer:
c
Step-by-step explanation:
How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). O The slope of g(x) is equal to the slope of f(x). 43_-2-14 5 X -2
Answer: Tell me if i am wrong
The answer is 'The slope of g(x) is less than the slope of f(x)'
Step-by-step explanation:
Given the graphs of f(x) and g(x). we have to compare the slops of these two.
The graph of f(x) passes through the points (1,0) and (2,2)
∴ The slope of [tex]f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2[/tex]
The graph of g(x) passes through the points (0,2) and (2,3)
∴ The slope of [tex]g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}[/tex]
As [tex]\frac{1}{2} <2[/tex]
This shows that the
The slope of g(x) is less than the slope of f(x).
Muhammad, your client, comes to your office. He is from Pakistan and is an avid cricket player. His annual salary and bonus/incentive compensation income, earned as the president of an engineering firm in Virginia, is usually $2 million. He is in the top tax bracket. Muhammad would like to donate $1 million to the Pakistani Cricket Foundation in Islamabad (the foundation is not a U.S. registered charity) to support cricket in his homeland. He assumes he will get an income tax deduction for this.
1. Will Muhammad likely get an income tax deduction for his planned $1 million donation? Why or why not?
2. Should you try to persuade Muhammad to be more patient and make the donation in his will? Why or why not?
Solution :
It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.
1. Muhammad believes that donating the amount will help him getting a income tax deduction, but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.
2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).
Between which values does 111 lie?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
E .11 and 12
Answer: D: 10 and 11
Step-by-step explanation:
The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11
Answer:
D: 10 and 11
Step-by-step explanation:
10.5356537529 10^11
and in standard notation:
105,356,537,529
Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide. What is the area of the tomato section?
Answer:
Multiply 4/5 by 2/3
Step-by-step explanation:
Answer:
8/15m^2
Step-by-step explanation:
Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:
4/5 x 2/3= 8/15m^2
Don't forget the meters squared in your answer.
Suppose we know that a confidence interval is (71,95), with a sample mean of x¯=83.
What is the margin of error?
Give just a number for your answer. For example, if you found that the margin of error was 2, you would enter 2.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Recall :
Confidence interval = xbar ± margin of error
Xbar = 83
Confidence interval = (71, 95)
We could use either the lower or upper boundary to obtain an integer for the margin of error :
Using the upper boundary :
Upper boundary = Xbar + margin of error
95 = 83 + margin of error
Margin of Error = 95 - 83
Margin of Error = 12
A cone has a radius of 7 m and a height of 18 m . What is the approximate volume of the cone to the nearest tenth? Use 3.14 for pie
NEED NOW WILL NAME BRAINLYIST
Determine if the three side lengths given in each problem can create a triangle or not.
a. 12 cm, 14 cm, 20 cm
b. 4 m, 8 m, 12 m
c. 23 cm, 12 cm, 13 cm
Answer:
a) yes
b) no
c) yes
Step-by-step explanation:
the sum of the 2 shorter sides must be longer than the longest side
Answer:
a and c can make a triangle.
Step-by-step explanation:
the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12
I WILL GIVE BRAINLIEST PLS HELP PLS PLS PLS
if your given the equation, 4x^3-9x^3 do you combine the exponents or add them?
Answer:
ay i use this- technically isnt cheating bc my teachers didnt block it so..
math calculator for exponent thingys:
https://www.mathpapa.com/calc.html
-and i think you combine them..maybe-
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: yxz and tus
Step-by-step explanation:
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Slope
Step-by-step explanation:
Hope it helps you in your learning process
Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?
Goats 35 acre
Pigs 15 acre
Llamas 25 acre
Horses ??
???/5
PLEASE ANSWERRRRR
9514 1404 393
Answer:
4/5 acre
Step-by-step explanation:
We assume your allocations are ...
goats: 3/5 acre
pigs: 1/5 acre
llamas: 2/5 acre
2 acres is 10/5 acres, so the remaining area is ...
10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5
4/5 acre is allocated to horses.
number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour
Answer:
It takes 1.77 hours for the population to double.
Step-by-step explanation:
Equation for population growth:
The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
Growth rato parameter of 48% per hour
This means that [tex]r = 0.48[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.48)^t[/tex]
[tex]P(t) = P(0)(1.48)^t[/tex]
How many hours does it take the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)(1.48)^t[/tex]
[tex]2P(0) = P(0)(1.48)^t[/tex]
[tex](1.48)^t = 2[/tex]
[tex]\log{(1.48)^t} = \log{2}[/tex]
[tex]t\log{1.48} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]
[tex]t = 1.77[/tex]
It takes 1.77 hours for the population to double.
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
what is 2x10^4 in standard notation
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
When you buy something, it actually costs more than you may think at least in terms of how much money you must earn to buy it. For example, if you pay 29 % of your income in taxes, how much money would you have to earn to buy a used car for $?8,520
Answer:
the amount to be earned is $12,000
Step-by-step explanation:
The computation of the amount to be earned is shown below:
= The amount to purchase a used car ÷ (1 - paid percentage)
= $8,520 ÷ (1 - 0.29)
= $8,520 ÷ 0.71
= $12,000
hence, the amount to be earned is $12,000
We simply applied the above formula for determine the earned money
The same would be considered
y=-2
4x-3y=18
solve for x and y
No need to solve for y. The value of y is given. See it?
To find x, plug the given value of y into
4x - 3y = 18.
4x - 3(-2) = 18
4x + 6 = 18
4x = 18 - 6
4x = 12
x = 12/4
x = 3
Answer: y = -2 and x = 3.
Understand?
Answer:
X=3 y=-2
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
4×=18-6
4x=12
divide both sides by 4
X=3