Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
17. Five time as many girls as boys went to the dance. The total of 120 students went to
the dance.
a. If b represents the number of boys and g represents the number of girls, use
the numbers, variables, and symbols shown below to construct a system of
equations to model this situation. Some of the numbers, variables, and
operations will be used more than once and some will not be used at all.
b
g
+
10
3
4
1
5
120
2.
Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
what is the value of x ?
Answer:
Should be 33 degrees if it is congruen.
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
124 + 33 = 157
180 - 157 = 23
Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54
Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
Answer:
42
Step-by-step explanation:
just took the quiz and got it right
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
20. Rewrite the following expression as a fraction times the variable.
-8a/9
Answer:
-8a times 1/9
Step-by-step explanation:
This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)
The expression is as fraction times the variable is (-8/9)a.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
As per the given,-8a/9
The variable in the above fraction is a.
Thus, (-8/9)a will be the representation in terms of the product of constant and variable.
Hence "The expression is as fraction times the variable is (-8/9)a".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Please help with the question below
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.
Answer:
The correct option is (B)
(B) x-y = 6 , 3x+4y = 4
Step-by-step explanation:
As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:
Find the values of x and y for (B);
x - y = 6 ⇒ (i)
3x + 4y = 4 ⇒ (ii)
Lets consider equation (i)
x - y = 6
x = 6 + y
Substitute in equation (ii)
3(6+y) + 4y = 4
18 + 3y + 4y = 4
7y = -14
y = -2
Substitute in equation (i)
x - (-2) = 6
x + 2 = 6
x = 6 - 2
x = 4
As solution of part C is also (4, -2), it represents the graph
You can also find the (x, y) for other options the similar way, which will show you they don't have the same value
Answer:
its B
Step-by-step explanation:
Raj paid $5.04 for 6 cookies. Heath paid $4.00 for 5 cookies. Which of the following statements is true?
Raj paid less per cookie.
Heath paid less per cookie.
Raj and Heath paid the same per cookie.
Answer: Raj paid less per cookie
Step-by-step explanation:
Answer:
Heath paid 4 cents less then raj did per cookie so it would be the second one.
Step-by-step explanation:
Which expressions are equivalent to x + 2y + x + 2x+2y+x+2x, plus, 2, y, plus, x, plus, 2 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2(x+y+1)2(x+y+1)2, left parenthesis, x, plus, y, plus, 1, right parenthesis (Choice B) B 2x + 4y +42x+4y+42, x, plus, 4, y, plus, 4 (Choice C) C None of the above
Answer:
A. 2(x+y+1)
Step-by-step explanation:
The expression is
x+2y+x+2
Collect like terms
x+x+2y+2
Add like terms
2x+2y+2
Factorise the expression
2(x+y+1)
Answer:
(A) - 2(x+y+1)
Step-by-step explanation:
you're welcome
(this will be right if ur on kahn:)
There are 2200 students in a school. 52.5% of them are male. How many are female?
___________________________________
Total number of students=2200
Total percent of male=52.5%
Total percent of female=100%-52.5%
=47.5%
Total number of female= 47.5% of 2200
=47.5/100*2200
=1045
So the total number of female is 1045
hope it helps
Good luck on your assignment
________________________________
Answer:
[tex]1045[/tex]
Step-by-step explanation:
[tex]no. \: \: of \: \: students = 2200[/tex]
First let's find the percentage of female.
[tex]100\% - 52.5\% = 47.5\%[/tex]
So now let's find how many female students are there in the class
[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Six times a number is greater than 20 more than that number. What are the possible values of that number?
N<4
N>4
N> 20/7
N<20/7
Answer:
N>4
Step-by-step explanation:
Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
S,wow,w,
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
What is the tangent ratio for ∠A?
Answer:
1/2
Step-by-step explanation:
Please hurry
What is the solution?
Answer:
no solution
Step-by-step explanation:
I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5
Solve the following equation for x.
7x-3y=-13
Answer:
x = 3/7y - 13/7
Step-by-step explanation:
7x-3y=-13
+3y +3y Add 3y to both sides
7x = 3y - 13 Divide both sides by 7
x = 3/7y - 13/7
distance between (2,3) and (6,8)
Answer: [tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]
The table below shows the survey results for six randomly selected frogs from a pond.
Gender Length, cm Weight, grams
F 8.5 22.7
F 7 19.3
M 9 25.2
M 6 18.1
F 8 22.1
M 11 23.6
F, female; M, male.
This data set contains
three variables, two of which are categorical
three variables, all of which are categorical
three variables, one of which is categorical
three variables, none of which are categorical
Answer:
This data set contains three variables, one of which is categorical
Step-by-step explanation:
The three variables are: Gender, Length and Weight
A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.
Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer:
Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64 ---4 67x54 5xe4t4 6x
randomly selecting two grape juice boxes without replacement
Step-by-step explanation:
1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.
Answer:
I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.
Step-by-step explanation:
136/1035
plz mark brainliest if this is the question.
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
Please help! Read the question down below!
Pleasee help I am being timed
Answer:
A: 33.5
B: 24.5
Step-by-step explanation:
Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.
Step-by-step explanation:
help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.
Answer:
The width is 7 cm
Step-by-step explanation:
The volume of a cereal box is
V = l*w*h
6860 = 35 * w * 28
6860 =980 w
Divide each side by 980
6860/980 = w
7 = w
Answer:
35*28=6,860
980 = 6,860
divide by 980 to both side
_980__ = _6,860_
980 980
x = 7
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND THANKS
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
can someone please help me understand ?
Answer:
A: 12cm
B: 90 degrees
C: 60 degrees
Step-by-step explanation:
A. Measure of GH is 1/4 of perimeter of 48 cm
48/4=12
a is 12cm
B. in a rhombus, diagonals are perpendicular,
FH and EG are perpendicular
So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees
thus measure of angle EJF is 90 degrees
C.
First lets find the measure of EJF
Since all the inner angles of the triangle add up to 180 degrees,
we can make an equation:
60+90+x=180
150+x=180
x=30
angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,
Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors
Thus EHJ=30 and GHJ=30
30+30=60
EHG = 60
so answer is 60 degrees