Answer:
a = 3x^2 +9x
Step-by-step explanation:
Put the given dimensions in the formula and simplify. The distributive property is useful.
a = (1/2)bh
a = (1/2)(6x)(x+3) = 3x(x +3)
a = 3x^2 +9x
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.
If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answer:X=10
Step-by-step explanation:
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
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
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
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
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
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
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
13. Given the function g(x) graphed here.
a. Evaluate g(-3).
b. Solve g(x) = 3.
7+
6
5+
+
2
-
Answer:
[tex]g(-3) = 2[/tex]
[tex]g(0) = 3[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine
[tex]g(-3)[/tex]
[tex]g(x) = 3[/tex]
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
[tex]g(-3) = 2[/tex]
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
Hence;
[tex]g(0) = 3[/tex]
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
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:
10 times as many as 1 hundred is ---- hundreds or -------- thousand
Answer:
10 hundreds or 1 thousand
Step-by-step explanation:
1 hundred is 100. 10 * 100 = 1,000. Just count the zeros in the factors (there's 1 zero in 10 and 2 zeros in 100) and then put them all at the end of the answer to get 3 zeros, which is 1,000, or one thousand.
Add 3 + (-27) using the number line.
Select the location on the number line to plot the sum
-2
1
-1
0
1
2
1
1
2
2
12
Answer:
3/4+(-2 1/2)
Exact form -7/4
Decimal form -1.75
mixed number -1 3/4
Christopher read 4 books in 2 months. What was his rate of reading in books per
month?
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
Please help asap!!!!!!
Answer:
the anser of this question for a is 17
Step-by-step explanation:
all sides are the same
The total cost f(x), in dollars, for renting a beach house for x days is shown:
f(x) = 5 + 350x
What does f(5) represent?
Answer:
See below.
Step-by-step explanation:
So we have a function f(x) which is:
[tex]f(x)=5+350x[/tex]
And this represents the total cost (f(x)) in dollars for renting a beach house for x days.
If we use 5 for x:
[tex]f(5)=5+350(5)[/tex]
Multiply:
[tex]f(5)=5+1750=1755[/tex]
This means that the total cost to rent the beach house for 5 days is $1755.
Answer:
The cost of renting the house for 5 days
$1755 for 5 days
Step-by-step explanation:
We are given the function:
f(x) = 5+350x
f(x) represents the total cost in dollars and x represents the days.
If we want to find f(5), we must substitute 5 in for x.
f(5) = 5+350(5)
Multiply 350 and 5.
f(5)= 5+ 1750
Add 5 and 1750.
f(5)= 1755
x represents days and we substituted 5 in for x. Therefore, f(5) represents the cost of renting the beach house for 5 days. f(5) is equal to 1755.
So, It will cost $1755 to rent the beach house for 5 days.
Find the midpoint of the segment with the given endpoints.
(-7,10) and (6.-10)
Answer:
c
Step-by-step explanation:
cc
(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
Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Increasing x 0 Increasing x > 0; Decreasing x 3 Increasing x > 3; Decreasing x < 3
Answer:
increasing: x > 0
decreasing: x < 0
Step-by-step explanation:
It should be no mystery that the graph attached is decreasing where the graph is blue, and increasing where the graph is red. The turning point is the vertex.
increasing: x > 0
decreasing: x < 0
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%.
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]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]
Write 1.005 as a mixed number. Then write how to read this number aloud.
Answer:
1 1/200
Step-by-step explanation:
1 1/200
one and one two-hundreth
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.
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
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!.
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
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