To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,
Which best describes how to find the length of an arc in a circle?From the question, we have the following parameters that can be used in our computation:
The length of an arc in a circle
The length of an arc in a circle is calculated as
Length = Angle/360 * Circumference
This is representd by the option (a)
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What is the measure of angle x?
Enter your answer in the box.
Answer:
x = 48º
Step-by-step explanation:
x = 90 -42
x = 48º
Regardless of age, about 20% of American adults participate in fitness activities at least twice a week. A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week. Is this evidence of a decline in participation after age 40? Use α = .05. a) Write test hypothesis b) Compute test statistic. c) Apply any method to draw conclusion.
Answer:
The null hypothesis is [tex]H_0: p = 0.2[/tex]
The alternate hypothesis is [tex]H_a: p < 0.2[/tex]
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Step-by-step explanation:
20% of American adults participate in fitness activities at least twice a week. Test if there is evidence of a decline in participation after age 40.
At the null hypothesis, we test that the proportion is of 0.2, so:
[tex]H_0: p = 0.2[/tex]
At the alternate hypothesis, we test if the proportion is less than 0.2, indicating a decline. So
[tex]H_a: p < 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
20% is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]
A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.2}{\frac{\sqrt{0.2*0.8}}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a pvalue of 0.1056.
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Let f(x)=-2x+6 and g(x)=10x-8
[tex]\frac{f}{g} (-3)[/tex]
Answer:
f(10x-8)=-20x+22
f(g(x))
possibly
g(-2x+6)=-20x+52
g(f(x))
If needing a different answer math-way can possibly help you as it helped me.
Carlos va a comprar un televisor que tiene un costo de c doláres. El impuesto gubernamental
de valor añadido es del 16%. ¿Cuál es la ecuación que MEJOR modela el pago total en
dólares, p, que hará Carlos en está en esta compra? *
Answer:
b
Step-by-step explanation:
what is x / 15 equals 5. what is x?
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
If Mr. Bisby wants to know the average of the grades on a test, what measure of central tendency would he be looking at?
(Spelling counts so make sure to spell it correctly)
Answer: The answer is mean.
Step-by-step explanation:
This measure of central tendency helps you figure out the average of data.
Simplify -4(2x - 3) + 7 x – 1.
Answer:
-x+11
Step-by-step explanation:
Write 0.59 as a fraction in simplest form.
A
59
1000
O
B
100
59
c
59
100
D. 59
10
HURRY
Answer:
C. 59/100
Step-by-step explanation:
Please answer the question correctly with factual information for brainliest.
Answer:
3 and 4
Step-by-step explanation:
3^3 = 27
4^3 = 64
Which graph represents the inequality y ≥ x + 3m
Answer:
Pardon, ne
Step-by-step explanation:
There is an image below. Is ThIs CoRrEcT? If it's wrong, what is it?
If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?
Answer:
[tex]y = 75[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ \ x[/tex]
[tex]y=24; x =16[/tex]
Required
Find y when [tex]x = 50[/tex]
We have:
[tex]y\ \alpha\ \ x[/tex]
Express as equation
[tex]y = kx[/tex]
Solve for k
[tex]k = \frac{y}{x}[/tex]
When [tex]y=24; x =16[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = \frac{3}{2}[/tex]
When [tex]x = 50[/tex], we have:
[tex]y = kx[/tex]
[tex]y = \frac{3}{2} * 50[/tex]
[tex]y = 75[/tex]
Which statement describes -1/11 ?
Answer:
B
Step-by-step explanation:
because it ends up being -0.09090909...
Step-by-step explanation:
becous is end o.0909090
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
will give more p0ints if correct
Answer:
REVENGE
Step-by-step explanation:
Answer:
Answer is im not sure
ed on exam
115. Which is the equation of a
quadratic function with x-intercepts
(-5,0) and (1,0)?
a. y = x2 - 4x - 5
b. y = x2 - 4x + 5
c. y = x2 + 4x - 5
d. y = x2 + 4x + 5
Answer:
I believe it is C, y= x^2 +4x -5
A group of students is painting a background piece for the school play. What is the area of the gray part of the background. Please help no links
Answer:
1324 in²
Step-by-step explanation:
Rectangle: 40x30=1200
Triangle: 1/2x10x30=150
1200+150=1350
Door: 3x6=18
Window: 2x4=8
18+8=26
1350-26=1324
Which expressions listed on the left are equivalent to √36a^8/225a^2? Check all that apply. (Assume that a ≠ 0.)
Answer: ABE
Step-by-step explanation:
Answer: a b e
Step-by-step explanation:
Help within 10 min pleeeeeeeeeease
Answer:
10
Step-by-step explanation:
I am an arc that measures between Oº and 180° WHAT AM I?
Answer:
a semicircle?
Step-by-step explanation:
The measure of the angles of a triangle are shown in the figure below. Solve for x
Step-by-step explanation:
x+39+90=180 ( sum of angle of triangle is 180)
x=61
Can someone just check and tell me if this is right. If it's not correct can you explain how to do it?
AnswerI think its crrect]
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
When a quadrilateral is incribed in a circle, opposite angles equal 180.
180-105=75
Help PLZZ NO FILES PLZZ
Answer:
5 (B)
Step-by-step explanation:
solve the system:
3x-2y=1 2x+5y=3
a.) x=1, y=1
b.)x=-1,y=-1
c.)x=11/19, y= 7/19
d.)x=-19/2,y=22/5
e.)x=17/3, y=8
Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS
Answer:
x<4
Step-by-step explanation:
3x < 12
Divide with 3 on each side
x< 4
In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
To graph the inequality 3x < 12 on a number line, we can follow these steps:
- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.
- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.
- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.
We can do this by making an open circle (or "unfilled dot") at 4 on the number line.
- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.
We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.
Thus,
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
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Can someone please help me I will mark u brilliant
Answer:
Step-by-step explanation:
9
Answer: 8
Step-by-step explanation:
First, all the times are 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10. Second, you put them in ordet, but that’s already done. Then the median is the middle. The number in the middle is 8.
Help !!!!!!!!!!!!!!!!!!!!!
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
2
1+3
1+32+2
Thanks Thanks Hope it helpsAnswer:
1+3=4
2+2=4
there are only 2 possible ways in which the sum will add up to 4
therefore the answer is 2
How much interest would Ms. Saver earn at the end of 1 year if she placed $5000 in a
bank that paid 3% interest?
A $10.50
B. $15.00
C. $150.00
D. $1500.00
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
Meng had 346 stickers. On Monday he gave away 38. On Tuesday he gave away 49. on Wednesday he gave away 16.
How many stickers does Meng have left?
Answer:
243 stickers
Step-by-step explanation:
346-38=308
308-49= 259
259-16=243