Answer:
358.2
Step-by-step explanation:
thats the answer because .21=.2
1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *
Taylor's family traveled 50 miles in 1 hour.
Taylor's family traveled 120 miles in 2 hours.
Taylor's family traveled 180 miles in 4 hours.
Taylor's family traveled 200 miles in 5 hours.
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 = 60(2)
Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.
Answer:
The perimeter of the small square is approximately 9.154 units
Step-by-step explanation:
The given parameters are;
The sides of the four identical right triangles = 5·x, 12·x, and 13·x,
The perimeter of the large square = 17 units
Therefore, we have;
The hypotenuse side of the right triangles = The longest side = 13·x
The sides of the large square are formed by the hypotenuse sides of the right triangle
Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units
x = 17/52 ≈ 0.3269
x ≈ 0.3269 units
The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x
∴ The sides of the small square = 7·x = (7 × 0.3269) units ≈ 2.2885 units
The perimeter of the small square = 4 × The sides of the small square
The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units
The perimeter of the small square ≈ 9.154 units.
Describe the transformation that moved Figure A to Figure B?
A) Reflect over the x-axis
B) Reflect over the y-axis
C) Rotate 90 degrees clockwise about the origin
D) Rotate 180 degrees about the origin
Answer:
D
Step-by-step explanation:
Its kinda hard to explain but its the answer
What is the answer to this question
Answer:
C
Step-by-step explanation:
Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.
The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?
Answer:
A) α = 0.04136
B) β = 0.00256
Step-by-step explanation:
We are given;
Sample size; n = 400
Proportion; p = 60% = 0.6
Formula for mean is;
μ = np
μ = 400 × 0.6 = 240
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.6 = 0.4
σ = √(400 × 0.6 × 0.4)
σ = √96
σ = 9.8
A) our null hypothesis is at p = 0.6
Probability of making a type I error means we reject the null hypothesis when it is true.
This can be expressed in reference to the question as;
α = P(x < 220) + P(x > 260) all at p = 0.6
Now,
P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04
Also;
P(x > 260) = z = (260 - 240)/9.8 = 2.04
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.
Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068
Thus;
α = 0.02068 + 0.02068
α = 0.04136
B) Type II error occurs when we fail to reject the null hypothesis even though it's false.
In this case our alternative hypothesis is at p = 48% = 0.48
Thus;
μ = np
μ = 400 × 0.48 = 192
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.48 = 0.52
σ = √(400 × 0.48 × 0.52)
σ = √99.84
σ = 9.992
Type II error would be given by;
β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]
β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]
β = (2.8 < z > 6.81)
Rearranging this gives us;
β = P(z < 6.81) - P(z < 2.8)
From z-distribution tables, we have;
β = 1 - 0.99744
β = 0.00256
In this exercise, we have to calculate the gasoline rates, and the answer will be:
A)[tex]\alpha= 0.04136[/tex]
B)[tex]\beta= 0.00256[/tex]
We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;
[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq}[/tex]
Where:
[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]
[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]
A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:
[tex]\alpha= P(x<220)+P(x>260)[/tex]
Now,
[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:
[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]
Thus;
[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]
B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:
[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]
Type II error would be given by:
[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]
Rearranging this gives us:
[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]
See more about statistics at : brainly.com/question/7412334
For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ordered three pizza dinners at $6.25 each and three chicken baskets at $7.50 each. All six people ordered soft drinks costing $1.25 each. The sales tax on the meal was 4.5%, and the tip was 15%. What was the total cost of the meal, including the sales tax and the tip?
Answer:
58.25
Step-by-step explanation:
C is the total cost of the meal, fifty-eight dollars and twenty-five cents.
First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.
To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.
Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.
Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.
Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.
Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.
Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.
Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.
And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.
Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.
Answer: 56.25
Step-by-step explanation:
What does (f+g)x mean?
Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
how many solutions are there to this problem
|m-2|=2
Answer:
2 solutions
-4 and 4 are possible answers
Step-by-step explanation:
Please help me find the missing length
Answer:
The tower is 48 ft tall.
Step-by-step explanation:
Refer to the figure attached.
Triangle ACD is similar to triangle BCE.
This means the proportion to some sides is the same, for example:
[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]
Substituting the values:
[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]
Multiplying by 64H:
[tex]8H=64*6[/tex]
Dividing by 8:
[tex]H=64*6/8=48[/tex]
The tower is 48 ft tall.
Why do people pretend they have depression, Depression is not something to joke about
Answer:
they want more attention than they already have,or they think its funny
Step-by-step explanation:
Answer:
It seems like most people joke about depression for attention.
Step-by-step explanation:
how you to transform a polynomial equation in standard form? state some steps
Answer:
A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.
This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.
(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.
Answer:
I can't see the picture, sorry. :(
Step-by-step explanation:
Answer:
y=3/4x-5.5
Step-by-step explanation:
y=mx+b
B=starting point 5.5
x= variable
M=slope 3/4
Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of
the ball from the time it hits the ground until it lands on the floor is represented by
f(x) =-4(x - 5)2 + 12
Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?
Answer:
12ft
step by step explanation:
This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,
that is the maximum height is 12 ft.
we have The equation of a parabola with vertex (h, k) to be
f(x) = a(x -h)² + k
when put in Comparison to your question function, we get that
a=-4
h=5
k=12
so the vertex (h, k) = (5, 12).
Anyone know how to do this, I’m lost!
The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.
Now you have been found !
1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answer:
y=2x
Step-by-step explanation:
find the slope
13. y=-x+0
14. y=(7/14)x+2
15. y=(2/4)x+1
16. y=3x-4
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (3.-5) and (2-2)
А. -3, falls
В. 1/3, rises
C. 3, rises.
D. -1/3, falls
Answer:
Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
Step-by-step explanation:
The formula calculate to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given points (3,-5) and (2,-2) so,
[tex]x_1=3, y_1=-5, x_2=2, y_2=-2[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{2-3}\\Slope=\frac{-2+5}{1}\\Slope=3[/tex]
So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.
Estimate by rounding the largest number to hundreds and then divide.
869 ÷ 6 is approximately
Answer:
150
Step-by-step explanation:
Round: 869 → 900900 ÷ 6 = 150I hope this helps!
What is the answer to the following question?
1.8
2.2
3.3
4.12
?
Answer:
1.8
Step-by-step explanation:
1.8
What statement is true about DCB and ACF
both angle are equal
DCB is equals to FCA
There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?
Answer:
485
Step-by-step explanation:
500/100=5
5*3=15
500-15=485
Hope this helps;)
Answer:
485
Step-by-step explanation:
Using the similar triangles, which equation could be used to find the slope of line AB?
A)slope=p/q
B)slope=q/p
C)slope=n/m
D)slope=q/n
Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}
[/tex].
✅Therefore, slope of line AB = p/q
Cody rented a bicycle from Cycle Factory for $65. How many hours did Cody rent the bike for if their cost is $16 to rent the bike plus $7 per hour?
Answer: Cody rented the bike for 7 hours.
Step-by-step explanation:
$65-$16=$49
$49/$7=7 hours
Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.
Answer:
C. The domain is greater than -3 and less than 7.
Step-by-step explanation:
Just like the other one
x is domain
< = less than
≤ = less than or equal to
Answer:
c
Step-by-step explanation:
should b. cause most true usagw 'the domain'
good luck
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
This table shows a linear relationship.
x 6 7 8 9 10
y 17 19 21 23 25
Based on the information in this table, which equation can be used to model the relationship between x and y?
y = 2x + 5
y = 5x
y = 2x
y = 5x + 2
Answer: I think it's A. But I'm not entirely sure,
Step-by-step explanation:
Answer:
its y=2x + 5
explanation:
I took the test and got it right
solve the equation
1.2²(4a-8)=16
Answer:
I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty
Answer:
Step-by-step explanation:
Can someone please help me it’s due in a few minutes.
Answer:
150
Step-by-step explanation:
go submit it
Find the slope pls help !!!
Find m∠BOC in the figure if m∠AOC = 77°.
Question 18 options:
A)
71°
B)
18°
C)
65°
D)
59°
Answer:
Answer of this is... D... 59
According to the figure the value of ∠BOC is 59. So, the correct option is option D.
Given:
∠AOC = 77°
According to the figure ∠AOB = 3X and ∠BOC = 7X + 17
∠AOC = ∠AOB + ∠BOC.
Plugging the values in this equation.
Then we get,
77 = 3X + 7X + 17
Subtract 17 on both sides.
77 - 17 = 3X + 7X + 17 - 17
60 = 3X + 7X
After simplify we get,
60 = 10x.
X = 6
To find the ∠BOC.
∠BOC = 7X + 17.
Plugging the value of X in this equation.
∠BOC = 7 * 6 + 17
∠BOC = 42 + 17
∠BOC = 59.
Therefore, the value of ∠BOC is 59.
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