Answers
Answer:
m<ZWF = 11.5°
Step-by-step explanation:
Given:
m<N = 23°
Required:
m<ZWF
Solution:
Recall: Inscribed angle theorem states that an inscribed angle in a circle is equal to half of the central angle in a circle with the same subtended arc.
<ZWF is an inscribed angle
<N is a central angle
Therefore,
m<ZWF = ½(m<N)
Plug in the value into the equation and solve
m<ZWF = ½(23)
m<ZWF = 11.5°
Related Questions
Find the mean proportion between 28 and 63.
Answers
Answer:45.5
Step-by-step explanation:
the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.
Answers
Answer:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
[tex]x = \{x|-3,-2,1,5\}[/tex]
Required
The range using set notation
We have:
[tex]g(x) = 2x - 2[/tex]
When [tex]x = -3[/tex]
[tex]g(-3) = 2*-3 - 2 = -8[/tex]
When [tex]x = -2[/tex]
[tex]g(-2) = 2*-2 - 2 = -6[/tex]
When [tex]x = 1[/tex]
[tex]g(1) = 2*1 - 2 =0[/tex]
When [tex]x=5[/tex]
[tex]g(5) = 2*5 - 2 =8[/tex]
So, we have:
[tex]y = -8,-6,0,8[/tex]
Using set notation, the range is:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
What type of triangle, if any, can be formed with angle measures of 32, 126, and 32°?
A. no triangle
B. either an acute isosceles triangle or an obtuse isosceles triangle
C. only an obtuse isosceles triangle
D. only an acute isosceles triangle
Answers
Answer:
C. only an obtuse isosceles triangle
Step-by-step explanation:
the triangle has two congruent(equal) angles that are both 32°, and a triangle with two congruent angles is an isosceles triangle.
the third angle, 126°, in the triangle is an obtuse angle because it is larger than 90°, and a triangle with one obtuse angle is an obtuse triangle
thus, the triangle with angle measures of 32, 126, and 32° is both an isosceles and obtuse triangle.
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures.
Answers
Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
(-2, 11) & (5,6)
What is the slope of the equation between these two points?
Answers
Answer:
[tex] m =\dfrac{-5}{7}[/tex]
Step-by-step explanation:
Given :-
Two points (-2,11) and (5,6) .And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,
[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]
Here the two points are (-2,11) and (5,6) .So put on the respective values ,[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]
Hence the slope of the line is -5/7 .
A student in wildlife management studied trout habitat in the upper Shavers Fork watershed in West Virginia. The springtime water pH of 29 randomly selected tributary sample sites were found to have the following values:
6.2 6.3 5.0 5.8 4.6 4.7 4.7 5.4 6.2 6.0 5.4 5.9 6.2 6.1 6.0 6.3 6.2 5.8 6.2 6.3 6.3 6.3 6.4 6.5 6.6 6.1 6.3 4.4 6.7
Do the data of Exercise 17.8 (above) give good reason to think that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. (A neutral pH is the pH of pure water, pH 7.)
Step 1:
STATE: Is there evidence that the springtime water pH of the Shavers Fork watershed is not neutral (pH 7)?
FORMULATE: State hypotheses to be tested.
A. H 0 : μ = 7 vs. Ha : μ > 7
B. H 0 : μ = 7 vs. Ha : μ < 7
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
D. H 0 : μ ≠ 7 vs. Ha : μ < 7
Answers
Answer:
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
Step-by-step explanation:
The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7
In symbols it will be written as
H0: : μ = 7 vs. Ha : μ ≠ 7
So choice C is the best option for this hypothesis testing.
Let the significance level be 0.05
The degrees of freedom = n-1= 29-1 = 28
The critical value is t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.
The test statistic to use is t- test
t= x- u/ s/√n
The total sum is 170.9 and mean = x= 5.893
The u = 7
And the sample standard deviation is =s= 0.63
Putting the values
t= 5.893-7/0.63/√29
t= - 1.107/0.11699
t= -9.4623
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
A zoning board in Pine County is interested in estimating the proportion of its residents in favor of larger school zones in that county. A random sample of Pine County residents was selected. All the selected residents were asked, "Are you in favor of larger school zones in your county?" A 95% confidence interval for the proportion of residents in favor of larger school zones in that county was calculated to be 0.48 ± 0.02. Which of the following statements is correct?
A) At the 95% confidence level, the majority of area residents is in favor of larger school zones in that county.
B) In repeated sampling, 95% of sample proportions will fall in the interval (0.46, 0.50).
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
D)In repeated sampling, the true proportion of county residents in favor of larger school zones in that county will fall in the interval (0.46, 0.50).
E) In repeated sampling, 95% of the time, the true proportion of county residents in favor of larger school zones in that county will be equal to 0.48.
Answers
Answer:
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI between 0.48 - 0.02 = 0.46 and 0.48+0.02 = 0.5.
The interpretation is that we are 95% sure that the true population proportion is in this interval, that is, with 95% confidence, the estimate is within 0.02 of the true proportion, and so the correct answer is given by option C.
27 The data in the table below shows a linear relationship.
х
-2
0
1.5
у
7
3
1
0
Which of the following is the y-intercept of the graph of the data?!
A 1.5
B 1
с 3
D 2
Answers
Answer:
y-intercept is at (0,3)
Step-by-step explanation:
Find the measure of Angle X.
Answers
Answer:
11 degrees
Step-by-step explanation:
Vertical angles (opposite angles made by two intersecting lines) have the same measure.
need help with this
Answers
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32
Find the circumference use 3.1; for pie
Answers
Answer:
12.56 m
Step-by-step explanation:
If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:
12.56 m
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
Answers
which graph represents this exponential function?
f(x) = 3(2)x -4
Answers
Answer:
show a graph?
Step-by-step explanation:
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
Answers
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
What is the constant rate of change for the relationship shown in the table?
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The rate of change is the change in y over the change in x. In this table, the change in y is +1, and the change in x is +3, so we get [tex]\frac{1}{3}[/tex]
Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths
Answers
Answer:
7.32 inches
Step-by-step explanation:
The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.
(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)
I hope this helps :))
Work out the mean for the data set below: 207, 208 Give your answer as a decimal.
Answers
Answer:
207.5 is the answer.
Step-by-step explanation:
Add up the numbers (207 + 208) = 415.
Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.
That is how you find the mean.
please help me and use laws of exponents
Answers
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
How do to solve 7x-1 over 22 = 3x+1 over 10
Answers
Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
95/100 can be written as
19/20
13/20
19/10
Answers
Answer:
I quite strongly believe that the first option is the correct one since the following applies,
19/20
20*5=100
and
19*5=95
which in the end is equivalent to 95/100
Suppose
f(x) = x3 + 3. Find the graph of
2
f
3
х
Answers
Answer:
KLL
Step-by-step explanation:
6=24
hope that help!!!!!!!!!!!!!!!!!!
A hungry elf ate 20 of your muffins. That was of all of them! How many did you start with?
Answers
Answer:
20
Step-by-step explanation:
if a hungry elf ate all 20 of your muffins then technically you only had 20 to start with.
Help? Can anyone help me out? I’ll give Brainly! :) thank you!
Answers
Answer:
B
Step-by-step explanation:
$970+$2436= $3,406
the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)
Where did 35 come from?
Answers
35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.
list the reactants when limestone reacts to produce calcium chloride,water and carbondioxide
Answers
Answer:
The completed reaction is
CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑
Pls help simplify! I’ll give brainlest
Answers
Answer:
3^12
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answers
Answer:
8.50
Step-by-step explanation:
Find the slope of the lines shown in the graph
Answers
Blue: 4/2
Black: 1/3
Find the common ratio for the geometric sequence
-24, -12, -6
Answers
The answer choices are:
-17
-8
-2
2
5
8
15
Answers
Answer:
-8, 2, 15
Step-by-step explanation:
For a function each input value can have one and only one output value
Therefor -17, -2, 5, 8 cannot be input values because they already have output values other than 9
Valid inputs are
-8, 2, 15