9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
Set 2 Maths has 30 pupils in it.
Set 1 Maths has 80% of the number of pupils in Set 2
How many pupils does Set 1 Maths have?
The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.113
.133
.16
.11
.10
Find the probability that -2
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.
[tex]P(-2)=0.33[/tex]
Therefore, the probability of -2 is 0.33.
plisss help me in thiss
Answer:
x=80
Step-by-step explanation:
The angle of a line is 180*.
The equation would be (x+20)+x=180
Subtract 20 from both sides: 2x=160
Divide by 2: x=80
That's your answer!
I hope this helps!
Answer:
x=80
Step-by-step explanation:
I cant explain well but edge 2021 never lie's!
I need help with this, Im never good with these
Answer:
(a) basketball
(b) hat
(c) stuffed animal
explanation:
I'm not sure if got right but from what i see;
Chances from 1-23 you get a stuffed boi
Chances from 24-54 you get a hat (why)
Chances from 55-100 you get a basketball
Winner 5 got 90, which is between 55-100
Winner 6 got 35, which is between 24-54
winner 8 got a 7, which is between 1-23
Hope I didn't read it wrong
What is the domain of the square root function graphed below
Answer:
Dominio de una Raíz cuadrada
Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.
Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.
Step-by-step explanation:
qsy
The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
Inside
Step-by-step explanation:
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of poiñt from centre is less than the radius.
Hence the point lies within the circle
. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____ b. What is the point estimate of the difference between the means for the two populations
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Following are the null and alternative hypotheses:
[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]
For point b:
By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.
These point estimately are the difference among the mean for the two populations:
[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]
the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?
Answer:
13 feet
Step-by-step explanation:
the width = 234/18 = 13 feet
help me solve the simultaneous linear inequalities
Answer:
The inequality form is -4<x<-2
The Interval Notation is (-4, -2]
I hope this helps!
Which segment is adjacent to∠N?
Answer:
SN
Step-by-step explanation:
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Find each measure
Please help me
Answer:
11:90
12: 90
13: 90
14:90
15:180
16: 135
17:225
Step-by-step explanation:
I don't know if this is entirely true but I hope it helps
Given: ABCD is a parallelogram.
Prove: ∠A and ∠D are supplementary.
Parallelogram A B C D is shown.
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
✔ same-side interior
angles. Because AB and DC are
✔ parallel
, the same-side interior angles must be
✔ supplementary
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Step-by-step explanation:
Answer:
The answer above is correct!
The correct options are:
First box: option D. same-side interior
Second box: option C. parallel
Third box: option D. supplementary
Step-by-step explanation:
Hope this helped - just got it right on edge!
Brainliest would be greatly appreciated :)
What is the equation of the following line?
(-4, 8)
(0,0)
Answer
Step-by-step explanation:
y = -2x + 0
Therefore; y = -2x
Is the product of two prime numbers a prime number or a composite
number?
Step-by-step explanation:
No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.
Answer:
a composite one
Step-by-step explanation:
Why?
It is easy-peasy.
First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.
For example, 3 is a prime. 7 is a prime. Multiply them and get 21.
I hope it helped:)
Pls help, I will give 50 points
Set up a proportion to solve for x in the following similar triangles.
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
algebra help pls answer
Answer:
[tex]\frac{-1+1}{0-(-2)}=0[/tex]
[tex]ANSWER: A)~0[/tex]
------------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Find the missing side. Round to the nearest tenth.
A) 38.4
C) 33.9
B) 5.0
D) 27.6
Answer:
C)33.9. I hope it's help
Evaluate x^-2 for x = -3 plsss i really need help on this thank you
Answer: -1/9
Step-by-step explanation:
Answer:
- 1/9 OR -0.111....
Step-by-step explanation:
Make x= -3
-3^-2= -1/9
A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years
what are all the factors 24? please help lol
Answer:
factors are 1,2,3,4,6,8,12,24
Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. His friends bought 2.3 pounds and 1.8 pounds. About how many pounds of candy did they buy altogether?
rounding
Answer:
5.3 pounds
Step-by-step explanation:
1.2 plus 1.8 is 3 pounds
then you add 3 pounds plus 2.3 lbs and you get
5.3 pounds
Answer:
5.3
Step-by-step explanation:
If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5
What is the interval of increase f(x)=3x^2-6x
Answer:
F(g(×)1=3(6+2)-5=18×+6-5=18×+1
Step-by-step explanation:
so correct answer is the last one pa brainliest plss
Walter used the iterative process to determine that √13 is between 3.61 and 3.62. Analyze Walter's estimation. Is he correct? If not, what was his mistake?
Question options:
A. Yes, Walter is correct.
B. No 3.612 is less than 13.
C. No, both 3.612 and 3.622 are greater than
D. No, both 3.612 and 3.622 are less than 13
Answer:
C. No, both 3.612 and 3.622 are greater than the square root of 13
Explanation:
13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16
Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai
We get square root of 13 = 3.6055512
This is the same result we get using a calculator to calculate square root of 13= 3.6055512
So yes Walter is not correct
The difference between two numbers is 12 and their sum is 26. Find the smallest number. A)9 B)7 C)-7 D)-9
Answer:
Step-by-step explanation:
We need a system of equations to solve for this. The first equation comes from "The difference between 2 numbers is 12". Difference means subtraction, the 2 numbers will be x and y, and the word "is" means equals:
x - y = 12
The second equation comes from "...their sum is 26". The numbers are still x and y but this time we have their sum, which is what they equal when they are added together. The word "is" means equals:
x + y = 26. So we will go back up to the first equation. If y taken away from x leaves a positive number, that means that y is smaller than x. We are looking for the value of the smaller number so we will find y. Solve the first equation for x to get it in terms of y:
x = 12 + y and we sub that into the second equation:
(12 + y) + y = 26 and
12 + 2y = 26 and
2y = 14 so
y = 7. Choice B is the one you want.
Evaluate: 4x3 - 7x2 for x = 3
Answer:
45
Step-by-step explanation:
4[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] for x = 3
Substitute 3 in for x
4([tex]3^{3}[/tex]) - 7([tex]3^{2}[/tex])
4(3·3·3) - 7(3·3)
4(27) - 7(9)
108 - 63
45
Answer:
45
Step-by-step explanation:
Hi there!
We are given 4x³-7x² and we need to evaluate the expression if x=3.
To do this, substitute 3 as x into the expression, and then use the order of operations to solve
so substitute 3 as x into the expression (remember: x² is x*x, or (x)²)
4(3)³-7(3)²
now using the order of operations, start by evaluating the exponents
(3)³=3*3*3=9*3=27
(3)²=3*3=9
the expression then becomes:
4*27-7*9
multiply
108-63
subtract
45
Hope this helps! :)
Find the area of a rectangle with a length of 10 cm and a width of 7 cm.
70 cm
17 cm2
70 cm2
17 cm
You invest $4.000 in a savings account. The account pays 3% annual interest. How much money will be in the savings account after 9 years?
A) $4,938.29
B) $5,219.20
C) $5,124.33
D) $6,003.45
Answer:
4000*0.03*9=1080
4000+1080=5080
umm but like thats not one of the answers sorry
Hope This Helps!!!
Step-by-step explanation:
4000*3% = 120
120*9= 1080
1080+4000=5080
Need help with this will mark brainliest
Answer:
[tex]n=\frac{S}{180}+2[/tex]
Step-by-step explanation:
Hi there!
[tex]S=(n-2)180[/tex]
We can isolate n by performing inverse operations on both sides to cancel out values.
First, divide both sides by 180 to isolate n-2:
[tex]\frac{S}{180}=n-2[/tex]
Now, add 2 to both sides to isolate n:
[tex]\frac{S}{180}+2=n\\n=\frac{S}{180}+2[/tex]
I hope this helps!