Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
At the null hypothesis, we test if the proportion is of 23%, that is:
[tex]H_0: p = 0.23[/tex]
At the alternative hypothesis, we test if this proportion is lower than 23%, that is:
[tex]H_1: p < 0.23[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]
[tex]z = -0.52[/tex]
The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.
Looking at the z-table, z = -0.52 has a p-value of 0.3015.Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
A similar problem is given at https://brainly.com/question/14639462
What is 8,473,227 rounded to the nearest hundred thousand
Answer:
8 500 000
Step-by-step explanation:
since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.
In our case it did not have effect because it is below 5
Hilary is making slime for a class project
He discovers that he needs 2 cups of glue for every 3 cups of water
Select all the ratios that have the same constant of proportionality as Hilary's
observation
4:6
3:6
3:12
8:12
The ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
Hilary's observation states that he needs 2 cups of glue for every 3 cups of water. This can be represented as the ratio 2:3.
Now, let's compare this ratio to the given options:
4:6 = 2:3
Same ratio, same constant of proportionality.
3:6 = 1:2
Different ratio, not the same constant of proportionality.
3:12 = 1:4
Different ratio, not the same constant of proportionality.
8:12 = 2:3
Same ratio, same constant of proportionality.
So, the ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
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A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,
Arthur must jump an additional ___inches.
(Type a whole number, fraction, or mixed number.)
Arthur must jump an additional 8.25 inches so as to break the record.
1 foot = 12 inches
Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in
Long jump record = 270.75 in
Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in
Arthur's long jump record = 262.5 ft.
To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in
Arthur must jump an additional 8.25 inches so as to break the record.
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5x + 3y = 4; solve for x.
Answer:
x= - 3/5y +4/5
Step-by-step explanation:
isolate x:
5x+ 3y= 4
5x= -3y+ 4
x= -3/5y +4/5
Christina has these two tiles. Draw a new shape she can create with both tiles. Then name the shape and how many sides the new shape has.
Square and triangle
Answer:
quadangle
Step-by-step explanation:
a square made of triangles and If a triangle is called a triangle, why is a square not called a quadangle?
Squares and triangles can be combined to form a pentagon
The new shape is a pentagon.The shape has 5 sides.The two shapes are given as:
SquareTriangleWhere the base of the square equals the side length of the triangle
When these shapes are combined i.e. when the base of the triangle is merged with the side length of the square, then it forms a pentagon.
See attachment for the image of the new shape.
From the attached image, we can see that the shape has 5 sides
Read more about pentagons at:
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7x + 8y = 25 9x + 10y =35 elimination method please
[tex]7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 = \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\[/tex]
[tex]\\\text{Hence}~ (x,y) = (15,-10)[/tex]
Shawna has a photo album with space for 160 pictures. She has 33 pictures of her family, 48 pictures from summer camp, and 57 pictures from school. Does she have enough pictures to fill the photo album?
If Toye, whose speed is in ratio 5:6 to Koye uses 72min to finish a race. How long will the same race take Koye?
Answer:
86.4
Step-by-step explanation:
Toye:Koye
5:6
5 - 72
6
(6*72) ÷ 5
=86.4 min
Simplify (3x-9) / (x^2-x-6)
A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping
Write an equation for the cost(y) of shipping
x pounds.
Use it to determine the cost of shipping a
12-pound chair.
Answer:
y = 0.45 × x
y = 0.45 × 12
y = 5.4
Step-by-step explanation:
The chair costs $5 and 40 cents
June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information
Answer:
x/2=53.7
Step-by-step explanation:
x/2=53.7
x=107.4
Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.
Answer:
25 free throws on Friday.
Step-by-step explanation:
On Monday made 20 free throws
On Friday made 25% more free throws on Friday than Monday
On Friday made 20 free throws + 25% of Monday free throws
On Friday = Monday throws + 25% × Monday throws
On Friday = 20 + (.25 × 20)
On Friday = 20 + 5
On Friday = 25
98546 dividido para
46
Answer:
2142.30435
Step-by-step explanation:
The answer is 2142 and leaves remainder
g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)
Step-by-step explanation:
f(x) = 0
-2x + 2x is always 0.
so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.
long proof :
g(x) + f(x) = 2x + -2x + 2x = 2x
HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER
Answer:
The answer is A.
Step-by-step explanation:
5 - 1 = 4
10 - 6 = 4
15 - 11 = 4
20 - 16 = 4
25 - 21 = 4
Answer:
The correct answer should be B
Step-by-step explanation:
B is also number 5
Whic
a sqy
While making pecan pie, Monica was
reading about pecan trees. The average
width of a pecan tree trunk is 18 decimeters.
How many centimeters is this? (1 decimeter
10 centimeters)
-
(
Fraction Fun Friday
fun aith fr
Answer: 180 cm
Step-by-step explanation: 1 decimeter = 10 centimeter
18 dm = 10 * 18 cm
18 dm = 180 cm
Would appreciate brainly <3
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
Please do this step by step!
Answer:
Step-by-step explanation:
Let the amount creating equality = x
10% x + 625 = 20%x Convert The percentages to a decimal
10/100 x + 625 = 20/100 x Multiply both sides by 100
10x + 62500 = 20 x Subtract 10x from both sides
62500 = 20x - 10x Combine
62500 = 10x Divide by 10 on both sides
62500/10 =10 x/10
6250 = x
The equality is reached when 6250 sales is made.
Are the following two logical statements equivalent? p ∨ q q ∨ p
Answer:
Are the following two logical statements equivalent?
p
∨
q
q
∨
p
How do u do this math problem
Answer:
is there a question asked or no?
Solve:
8t + 2 = 8 (4) + 2 = ? + 2
What is the (?) / Question mark?
Answer:
? = 32
Step-by-step explanation:
Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34
Plz give brainliest
select the two values of x that are roots of this equation 3x^2 + 1 = 5x
Answer:
[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]
Step-by-step explanation:
[tex]3x { }^{2} + 1 = 5x[/tex]
[tex]3 {x}^{2} - 5x + 1 = 0[/tex]
Apply the quadratic formula with a=3, b=-5 and c=1Solve -x/3>5
I need help with this
x=1 becuase when 1x is it
Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.
A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other
Answer this, plz.
Answer:
Option 3
Evens
. . . . . .. . ..
A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available
Pls help brainlist pls help
Answer:
The slope of the function represents how much the function rises per amount that it moves horizontally.
Step-by-step explanation:
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
what is 6 over x-8 - 3x over x squared -5
Answer:
6/x^5-2x-8
Step-by-step explanation:
6 over x-8-3x is
6/x-8-3x/x^-5
Over x^-5
x^-5 can be rewritten as
6/x-8-3x+x^5
Simplify:
6/x^5-2x-8
Hope this helps!
In what time will $1000 amount to $1331 at 10% per annum, compounded annually?
3 Years
Step-by-step explanation:Compound interest is a multiplier that affects the new value each time.
If the compound interest is 10% per annum, the multiplier each year is 1.1.
Year 1: $1000 * 1.1 = $1100
Year 2: $1100* 1.1 = $1210
Year 3: $1210* 1.1 = $1331
This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.
Alternatively, you can use a logarithm. The calculation can be written as:
1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.
Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.
A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.
if a- b= 2 and ab= 15 then a3-b3?
a) 30 b) 98 c) 20 d) 60
full explanation please
Answer:
The answer is 98
Step-by-step explanation:
A = 5
B = 3
a_b = 2
a × b = 5 × 3 = 15
A3 _ b3 =(5) bower 3 _ (3) power 3 = 98