Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{9}}}}}[/tex]
Step-by-step explanation:
Given,
A = { Dirk , Johan , Frans , Sarie }
B = { Frans , Sarie , Tina , Klass , Henrika }
To find : n ( A ) + n ( A )
Now, count the number of member of a set A
n ( A ) = 4
Also, Count the number of members of a set B
n ( B ) = 5
Finding n( A ) + n ( B )
= 4 + 5
= 9
Hope I helped!
Best regards! :D
Find (f-g)(x)
Help me please
Answer: B
Step-by-step explanation:
To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.
f(x)-g(x) [plug in f(x) and g(x)]
-3x+2-x³ [rewrite in the correct order]
-x³-3x+2
Since there are no like terms for us to combine, B is our correct answer.
Write the following as an equation:
"2 times a number, x, is equal to 6 less than x"
Answer:
-6
Step-by-step explanation:
2x = x-6
subtract x from both sides
x = -6
Answer:
2x=x-6
Step-by-step explanation:
2 times a number -> 2x
6 less than x -> x-6
Our equation would be:
2x=x-6
Subtract x from both sides.
2x-x=x-x-6
Combine like terms
x=-6
Answer for this? I need to solve for X. Explanation would be helpful too. Thanks
Answer:
22
Step-by-step explanation:
2x+4+x-10=60
3x-6=60
3x=66
x=22
Answer:
[tex]\boxed{\bold{\huge{\boxed{Option \ 4: \ x = 22}}}}[/tex]
Step-by-step explanation:
If AD is a ray inside angle ABC
Then
∠ABD + ∠DBC = ∠ABC
2x + 4 + x - 10 = 60
3x - 6 = 60
Adding 6 to both sides
3x = 60 + 6
3x = 66
Dividing both sides by 3
x = 22
How many people like 2 kinds of dancing but not all 3 kinds of dancing?
Answer:
38 people
Step-by-step explanation:
add 11, 18, and 9 together
If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answer:X=10
Step-by-step explanation:
y=-2x+4
( ,-2)
please help mee ?
Answer:
(-3, -2)
Step-by-step explanation:
y = -2x + 4; y = -2
plug in y
-2 = -2x + 4
subtract 4 from each side
-6 = 2x
divide by 2
x = -3
Convert the following fraction to a percentage (round to the nearest tenth if needed). 3/7
Answer:
[tex]\huge\boxed{42.9 \%}[/tex]
Step-by-step explanation:
=> [tex]\frac{3}{7}[/tex]
To make it a percentage, we need to multiply and divide it by 100
=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]
=> [tex]\frac{300}{700}[/tex]
To make the denominator 100, we'll divide the numerator and denominator by 7
=> [tex]\frac{300/7}{700/7}[/tex]
=> [tex]\frac{42.9}{100}[/tex]
Percentage means out of hundred, so it becomes
=> 42.9 %
Which statement is true about a unit cube?
Answer:
Quadrant 2 I think.
Step-by-step explanation:
You stet on the x axis wich is positive and you second number on the y axis is negitive
Using the information regarding the proportion of work time linguists study a new language, choose the correct conclusion for this hypothesis test. H0:p=0.10 ; Ha:p>0.10 The p-value for this hypothesis test is 0.09. The level of significance is α=0.025 Select the correct answer below: A) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
C) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.
D) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.
Answer:
B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
Step-by-step explanation:
Given that:
the null hypothesis is;
[tex]H_o : p =0.10[/tex]
the alternative hypothesis is:
[tex]H_a : p >0.10[/tex]
The p - value for the hypothesis is 0.09
The level of significance ∝ = 0.025
The Decision rule is that to reject the null hypothesis if the p-value is less than the level of significance ∝.
Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance , therefore:
There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
At Sparky's Candy World, Miles spent a total of $13.75 on gummy bears and jelly beans. He bought 2.5 pounds of gummy bears at $3.40 per pound. If jelly beans cost $1.50 per pound, how many pounds of jelly beans did he buy?'
Answer:
3.5 lbs of jellybeans
Step-by-step explanation:
2.5 x 3.40
8.5
13.75 - 8.5 = 5. 25
5. 25 divided by 1.50 =
3.5
Answer:
3.5
Step-by-step explanation:
determine the x2 test statistic the degrees of freedom, the p value, and test the hypothesis at the a
Answer:
The null hypothesis will not be rejected at 5% significance level.
Step-by-step explanation:
Consider a Chi-square test for goodness of fit.
The hypothesis can be defined as:
H₀: The observed frequencies are same as the expected frequencies.
Hₐ: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
The information provided is:
Observed values:
Half Pint: 36
XXX: 35
Dark Night: 9
TOTAL: 80
The expected proportions are:
Half Pint: 40%
XXX: 40%
Dark Night: 20%
Compute the expected values as follows:
E (Half Pint)
[tex]=\frac{40}{100}\times80=32[/tex]
E (XXX)
[tex]=\frac{40}{100}\times80=32[/tex]
E (Dark night)
[tex]=\frac{20}{100}\times80=16[/tex]
Compute the test statistic as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
[tex]=\frac{(36-32)^{2}}{32}+\frac{(35-32)^{2}}{32}+\frac{(9-16)^{2}}{16}\\\\=3.844[/tex]
The test statistic value is, 5.382.
The degrees of freedom of the test is:
n - 1 = 3 - 1 = 2
The significance level is, α = 0.05.
Compute the p-value of the test as follows:
p-value = 0.1463
*Use a Chi-square table.
p-value = 0.1463 > α = 0.05.
So, the null hypothesis will not be rejected at 5% significance level.
Your answer should be an expanded polynomial in standard form. (-5a^3 - 2a^2) + (6a^3 + 9a^2 + 8a) = ?
Answer:
I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a
Step-by-step explanation:
The area of a rectangle is 56 inches. If the length is 7 inches less than 5 times the width, then find the dimensions of the rectangle
The area of a trapezoid is
230 cm². The height is
20 cm and the length of one of the parallel sides is
8 cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
The answer is 15cmStep-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
[tex]230 = \frac{1}{2} ( 8 + b) 20[/tex]
Reduce the fraction with 2
That's
[tex]230 = (8 + b) \times 10[/tex]
Expand the terms
That's
[tex]230 = 80 + 10b[/tex]
[tex]10b = 230 - 80 \\ 10b = 150[/tex]
Divide both sides by 10
We have the final answer as
b = 15cmHope this helps you
Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters, How can she determine how many kilometers are equivalent to 8,000 meters? Explain
Answer:
8 km
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
x 8000 km
--------- = -----------------
2 km 2000 m
Cross-multiplying, we get (2000 m)x = (8000 m)(2 km),
which reduces to x = 8 km
Answer:
Step-by-step explanation:
Since the table showed her that 2 km = 2000m.
To determine, how many km in 2000m, she would divide by 1000.
= 2000 / 1000 = 2 km.
Similarly, for 8000m = 8000 / 1000 = 8 km
Michael will rent a car for the weekend . He can choose one of two plans. The first plan has no initial fee but costs $0.80 per mile driven . The second plan has an initial fee of $75 and costs an additional $0.60 per mile driven How miles would Michael need to for the two plans to cost the same ?
Answer:
375 miles
Step-by-step explanation:
Set it up as an equation where m=miles
$75 +.6m=.80m
Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric motors to maneuver each capsule. Suppose 10 motors have been fabricated but that, in spite of tests performed on the individual motors, 2 will not operate satisfactorily, when placed into a capsule. To fabricate a new capsule, 2 motors will be randomly selected, find the probability that: (i) Both motors will operate satisfactorily in the capsule. (ii) One motor will operate satisfactorily and the other will not.
Answer:
a) the probability that Both motors will operate satisfactorily in the capsule 0.6222
b) the probability that One motor will operate satisfactorily and the other will not is 0.3556
Step-by-step explanation:
Given that;
total number of motors N = 10
number of motors will not operate satisfactory m = 2
number of motors randomly selected n = 2
let X be number of motors will that will not operate successfully
here, X≅Hyper geometric (x; N,n,m)
The probability mass function of x is;
P (X = x)= { m } {N - m }
{x } {n - x}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ N }
{ n }
a)
the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory
so
P(X= 0) = { 2 } { 10 - 2 }
{0 } { 2 - 0}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P (X = 0) = { 2 } { 8}
{ 0 } { 2 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
p(P= 0)=1×28 / 45 = 28/45 = 0.6222
Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222
b)
the probability that one motor will operate satisfactorily and the other will not.
P(X=1) = { 2 } { 10 - 2 }
{ 1 } { 2 - 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P(X=1) = { 2 } { 8 }
{ 1 } { 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
P(X=1) = 2×8 / 45 = 16/45 = 0.3556
Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556
A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a red marble, replacing it, and then picking another red marble?
Answer:
Total # of marbles: 10
# of red marbles: 7
Probability of choosing a red marble out of 10 marbles: 7/10
Then in the second round, you replace that marble so you still have a total of 10 marbles and 7 of them will still be red: 7/10
Multiply...
7/10 x 7/10 = 49/100
PROBABILITY: 49/100 (or 49%)
Hoped I helped
an astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. how much would a person weigh on the moon if they weigh 95 kilograms on earth? (round your answer if you have to)
Hi there! :)
Answer:
[tex]\huge\boxed{15.87kg}[/tex]
To solve, simply set up a proportion. Let "x" represent the mass of a 95 kg person on the moon:
[tex]\frac{14.2kg}{85kg} = \frac{x}{95kg}[/tex]
Cross multiply:
[tex]14.2 * 95 = 85 * x[/tex]
[tex]1349 = 85x[/tex]
Divide both sides by 85:
[tex]1349/85 = 85x/85[/tex]
[tex]x = 15.87 kg[/tex]
Answer:
15kg
Step-by-step explanation:
85/14.2=5.98
95/6=15
In the expression, what is the variable, the coefficient, and the constant?
25w+55
Drag the answer into the box to match each part of the expression.
Step-by-step explanation:
In expression:25w+55
variable=w
cofficient = coefficient of variable (w)=25
constant=55
In the given expression variable is "w", the coefficient is "25" and the constant is"55".
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression
25w+55
Now, in general, the variable is given by an English symbol so "w" will be the variable.
The constant which in multiply of variable is called coefficient so "25" will be coefficient.
Now,
The only remaining term "55" is a constant.
Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ2
Find the midpoint of the segment with the given endpoints.
(-7,10) and (6.-10)
Answer:
c
Step-by-step explanation:
cc
How old is natalie if she was 7 years old six years ago?
Answer:
Natalie is 13 years old
Step-by-step explanation:
7+6=13
Answer:13
Step-by-step explanation: 7 + 6 = 13
Use the Distributive Property to rewrite each expression. 1: Write 3x -1 + 5x + 7 in simplest form. 2: Find (x + 1) + (x + 1). 3: Find (4x - 7) - (2x - 2)
Answer:
Here is an example
Use distributive property to write an expression that is equivalent to 5 x + 25. Solution : 5x + 25 = 5x + 5(5) 5x + 25 = 5(x + 5) Example 7 : Use distributive property to write an expression that is equivalent to 7y + 5y. Solution : 7y + 5y = y(7 + 5) Example 8 : Use distributive property to write an expression that is equivalent to 0.2y + z.
Step-by-step explanation:
Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and
JK = 5x + 2, determine the numerical length of JL. i
Answer:
JL = 21
Step-by-step explanation:
Given that K is on line segment JL, therefore:
KL + JK = JL (according to segment addition postulate)
KL = 2x - 2
JK = 5x + 2
JL = 4x + 9
Thus:
[tex] (2x - 2) + (5x + 2) = (4x + 9) [/tex]
Solve for x
[tex] 2x - 2 + 5x + 2 = 4x + 9 [/tex]
[tex] 2x +5x - 2 + 2 = 4x + 9 [/tex]
[tex] 7x = 4x + 9 [/tex]
Subtract 4x from both sides
[tex] 7x - 4x = 4x + 9 - 4x [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
Find the numerical length of JL
[tex] JL = 4x + 9 [/tex]
Plug in the value of x
[tex] JL = 4(3) + 9 = 12 + 9 = 21 [/tex]
Please help me out! :)
Answer:
Add −11 and 5.
−6
Move 5 spaces to the right starting from -11 and you will end up at -6! (●'◡'●)
Answer:
-6
Step-by-step explanation:
So we want to find the value of:
[tex](-11)+5[/tex]
Simply add:
[tex](-11)+5=-6[/tex]
Further notes:
Again, to use the number line, place the first point at -11. Since we are adding, we move to the right.
So, starting at -11, move 5 spaces to the right. You should end up at -6, confirming our previous answer.
Can someone explain the math on how you do 3 divided by 4
Answer:
3/4=.75
i wish i could explain but i dont really know but there's the anwser at least
Hope i helped
SJ
Answer:
the answer is 0.75
Step-by-step explanation:
You can put that into a decimal. 3/4 = 0.75 . Dividing a number by a larger number ends in an answer that is less than one always!.
Round 765,903 to the given place value Thousand
Answer:
770,000?
Step-by-step explanation:
your just rounding
Answer:
766,000
Step-by-step explanation:
Brainliest pleeease
Help me with steps . Thanks
Answer:
135 square centimeters.
Step-by-step explanation:
The area of a triangle is given by the formula:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the length of the vertical height.
From the triangle, we can see that the base is 18 and the vertical height is 15. Thus:
[tex]A=\frac{1}{2}(18)(15)[/tex]
Multiply:
[tex]A=(9)(15)\\A=135\text{ cm}^2[/tex]
The area of the triangle is 135 square centimeters.
Answer:
135 cm
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}[/tex] × [tex]b[/tex] × [tex]h[/tex] [tex]\frac{1}{2}[/tex] × [tex]b[/tex] × [tex]h[/tex] = 18 × 15 = 270Plug in 270: [tex]\frac{1}{2}[/tex] × [tex]270[/tex] [tex]\frac{1}{2}[/tex] × [tex]270[/tex] = [tex]270[/tex] ÷ [tex]2[/tex] = [tex]135[/tex](4+3)x12/6+3
Can I get help and show work. Thank you
Answer:
9.33
Step-by-step explanation:
12( 4 + 3 ) / 6 + 3
48 + 36 / 6 + 3
84 / 9
9.33
I need some help on this...
Step-by-step explanation:
Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.
Answers:
m∠IGH = 51º
m∠FGH = 102º