In a class of 29 children, 15 like history and 21 like math. They all like at least one of
the two subjects.
What is the probability that a child chosen at random from the class likes math but
not history?
Answers
Answer:
14/29
Step-by-step explanation:
The probability that a child chosen at random from the class likes math but not history is 14/29 or 0.4827.
It is given that the in a class of 29 children, 15 likes history and 21 like math.
It is required to find the probability that a child chosen at random from the class likes math but not history if they all like at least one of the two subjects.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
We have:
Total students in a class = 29
First we have to find the number of students who likes both subject for this we have draw a Venn diagram shown in the picture.
From the Venn diagram number of students who likes both = 7
And number of students likes only math = 14
Hence, the probability will be:
[tex]p = \frac{14}{29}[/tex] ( because total number of students is 29)
or P = 0.4827 or 48.27%
Thus, the probability that a child chosen at random from the class likes math but not history is 14/29 or 0.4827.
Learn more about the Venn diagram here:
brainly.com/question/1024798
Related Questions
find the value of x if log3 625=x
Answers
Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.
find the area of this triangle. round to the nearest tenth.
Answers
Answer:
3,600
Step-by-step explanation:
can somebody help me?
Answers
Answer:
D
Step-by-step explanation:
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answers
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
Help on this question pleaseeeeeeee
Answers
Step-by-step explanation:
F-27=19
F= 19+27
F=46
I hope it is helpful have a nice day
Answer:
answer is 46
Step-by-step explanation:
Solution for f-27=19 equation:
Simplifying
f + -27 = 19
Reorder the terms:
-27 + f = 19
Solving
-27 + f = 19
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + f = 19 + 27
Combine like terms: -27 + 27 = 0
0 + f = 19 + 27
f = 19 + 27
Combine like terms: 19 + 27 = 46
f = 46
Simplifying
f = 46
Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3
Answers
Answer:
Answer is D: 3
Step-by-step explanation:
Please Help, what is the answer
Answers
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me
Answers
Which table represents the statement "A computer repairman makes $25 per hour"?
Answers
Answer:
Table number 3
Step-by-step explanation:
25+25=50
50+25=75
Answer:
C
Step-by-step explanation:
For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.
example: 4 hours would be 100 because 25×4=100
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answers
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
Answers
Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
What is (10x+30)+(7x+14) ?
Answers
Answer:
17x + 44
Step-by-step explanation:
Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44
Left with: 17x + 44
Answer:
Remove the parentheses
10x + 30 + 7x + 14
Add the like terms
17x + 44
Solution
17x + 44
Step-by-step explanation:
Please mark the Brainliest
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12 x 9 (12 on the top and bottom and 9 on the sides)
Step-by-step explanation:
100 km = 2 units, or 2 boxes
450 x 2/100 = 900/100 = 9
(not sure if this would help or not)
reflected over the x-axis, then translated 6
units left
Answers
to reflect over x-axis change it to (x,-y)
*basically change the sign of y*
to translate 6 units left (x-6,y)
* basically subtract 6 from x
So your new point should be (x-6,-y)
Can a triangle be formed with the sides lengths of 9 cm, 2 cm and 11 cm
Answers
Answer:
yessssss
Step-by-step explanation:
Answer:no it can not
Step-by-step explanation:
What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
I NEED THIS ASAP
Answers
Answer:
[tex]H = 53.30[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 7x + 41[/tex]
[tex]Side\ 2 = 5x[/tex]
Required
Determine side x
The hypotenuse (H) is calculated using:
[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]
Substitute 9 for x:
[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]
[tex]H^2 = 10816 + 2025[/tex]
[tex]H^2 = 12841[/tex]
So:
[tex]H = \sqrt {2841[/tex]
[tex]H = 53.30[/tex]
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Answers
what do you understand by resultant of a force
Answers
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
Plz Work out -1x(6x-8)=
Answers
= -x(6x - 8)
= -x(6x) - x(-8)
= -6x^2 + 8x
Type the answer in the box.
d = 6 y = 10 g = 8
Answers
Step-by-step explanation:
[tex](6) + \frac{1}{2} (10 + 8)[/tex]
[tex]6 + \frac{1}{2} (18)[/tex]
[tex]6 + \frac{18}{2} [/tex]
[tex]6 + 9[/tex]
[tex]15[/tex]
Answer:
15
Step-by-step explanation:
Simplify the expression:
2n + 10(9 + 4n)
Answers
Answer:
42n+90
Step-by-step explanation:
Explaination:
2
n
+
10
(
9
+
4
n
)
Distribute:
=
2
n
+
(
10
)
(
9
)
+
(
10
)
(
4
n
)
=
2
n
+
90
+
40
n
Combine Like Terms:
=
2
n
+
90
+
40
n
=
(
2
n
+
40
n
)
+
(
90
)
=
42
n
+
90
y-2=-5(x-2) slope intercept form
Answers
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answers
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished
Want to choose 2 letters ,without replacement, from 5 letters
Answers
Please help I don't get this
Answers
Answer:
18n+9
Step-by-step explanation:
9(2n+1)
multiply the 9 with the numbers in the parenthesis18n+9
How do scientists identify tectonically active regions
Answers
Answer: plate tectonics
Step-by-step explanation:Most earthquakes and volcanic eruptions do not strike randomly but occur in specific areas, such as along plate boundaries. One such area is the circum-Pacific Ring of Fire, where the Pacific Plate meets many surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
Earthquakes
50 apples cost $25. How much would 75 apples cost?
Answers
Answer:
37.5
Step-by-step explanation:
If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5
And we know this is correct because 25 divided by 2 is 12.5.
so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.
12.5 x 3 = 37.5
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answers
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
Answers
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Need help fast please
Answers
Answer:
The answer for the first one is 1/f3
the second one is b-5 i think
third one is 8k^5/m4
last one is -9
hope this helped
Step-by-step explanation: