Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Work:
[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]
A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the local school system. A random sample of 200 adults showed that 113 of those sampled supported the tax increase.
Researchers used these results to test H0:p=0.5 versus Ha:p>0.5, where p is the true proportion of adults that support the tax increase. They calculated a test statistic of z≈1.84 and a corresponding P-value of approximately 0.033.
Assuming the conditions for inference were met, which of these is an appropriate conclusion?
A. At the α=0.01 significance level, they should conclude that more than 50% of adults support the tax increase.
B. At the α=0.01 significance level, they should conclude that less than 50% of adults support the tax increase.
C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
D. At the α=0.05 significance level, they should conclude that less than 50% of adults support the tax increase.
Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Given: Null hypothesis: [tex]H_0:p=0.5[/tex]
Alternative hypothesis: [tex]H_a: p>0.5[/tex]
p-value = 0.033
If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.
If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.
Conclusion: Exactly 50% of adults support the tax increase.
If α=0.05 then p-value < α i.e. we reject the null hypothesis.
Conclusion: more than 50% of adults support the tax increase.
Thus, Correct option: C .
Answer: At the a = 0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
Step-by-step explanation:
Which of the following have the correct solution? Check all
that apply.
0 2x + 5 = 19; x = 7
3 + x + 2 - x = 16; x = 3
X +2
= 2; x=8
5
0 6 = 2x – 8; x = 7
14 = x +5; x = 18
Step-by-step explanation:
To do this, we will substitute the x values to their corresponding equations,
1)
[tex]2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19[/tex]
Given 2x + 15 = 19
Calculated 2x + 15 = 19
Given = Calculated, this solution is correct.
2)
[tex]3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5[/tex]
Given 3 + x + 2 - x = 16
Calculated 3 + x + 2 - x = 5
Given not equal to calculated, this solution is incorrect.
3)
[tex] \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2[/tex]
Given (x+2)/5 = 2
Calculated (x+2)/5 = 2
Given = Calculated, this solution is correct.
4)
[tex]6 = 2x - 8 \\ 2x - 8 = 6[/tex]
[tex]2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6[/tex]
Given 2x - 8 = 6
Calculated 2x - 8 = 6
Given = Calculated, this solution is correct.
5)
[tex]14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14[/tex]
[tex] \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11[/tex]
Given 1/3x + 5 = 14
Calculated 1/3x + 5 = 11
Given not equal to Calculated, this solution is not correct.
Therefore the Correct solutions are 1,3 and 4.
Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.
Answer:
Step-by-step explanation:
hello :
the numbers a1 , a2 ,a3
form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3
2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)
now solve this equation use this note :
ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers
(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8
are positifs numbers
(x + 3)² = (x + 2)(4x + 8)
x²+6x+9 = 4x²+16x+16
3x²+10x+7 =0
delta =10²-4(3)(7) 100 -84 = 4²
x1 = (-10-4)/6 = -7/3 reused
x 2 = (-10+4)/6 = -1 reused
conclusion : a. Such x does not exist.
Use the remainder theorem and synthetic division to find f(k).
k= -1; f(x) = x² - 4x +5
Answer:
10
Step-by-step explanation:
i hope this helps you <3
A rectangular prism has a length of 11 centimeters, a height of 18 centimeters, and a width of 11 centimeters. What is its volume, in cubic centimeters?
Answer:
2,178
Step-by-step explanation:
Multiply all the numbers together in other words do the length of the base times the width of the base then multiply the product by the height of the prism.
(11)(11)18
Complete the table for all the lengths and widths that are missing for
Claire's garden.
*This is only some of the table from the problem.
Answer:
Step-by-step explanation:
x is 1,2,3,4,5
y is 14,13,12,11,10
Please help.. You can answer one if you want but whoever answers both get brainliest
Answer:
l
Step-by-step explanation:
l
Is Anyone know the answer????
Answer:
Angle 1 = 40
Step-by-step explanation:
Angle 1 and Angle 2 are alternate angles. So,
2x + 20 = 3x + 10
3x - 2x = 20 - 10
x = 10
Angle 1 = 2x + 20 = 2 x 10 + 20 = 40
Please help
Look at picture
Answer:
1/3
Step-by-step explanation:
Find the value of x. Round to the nearest degree
Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(x) = \frac{15}{21} [/tex]
[tex] x = cos^{-1}(\frac{15}{21}) [/tex]
x = 44.4153086° ≈ 44° (nearest degree)
Which lists the fractions and in order from least to greatest?
9/5,13/8,1 3/4
Answer:
A
Step-by-step explanation:
13/8, 1 3/4, 9/5
28, 22, 16, 10,...
O Arithmetic
O Geometric
O Neither
Answer:
Arithmetic
Step-by-step explanation:
Sequences:
A sequence is called arithmetic if the difference between consecutive terms is the same.
A sequence is called geometric if the quotient between consecutive terms is the same.
In this question:
28 - 22 = 22 - 16 = 16 - 10 = ... = 6
Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.
Help plz I will give brainliest
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
Step-by-step explanation:
I hope it helped you
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? answer ASAP will give brainliest!!!
Answer:
85
Step-by-step explanation:
255 ÷ 3 = 85
85×2= 170 This is how much student tickets were sold.
255 - 170= 85
85 adult tickets were sold.
Solve for x in the equation x2 - 12x+ 36 = 90
Answer:
6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]
Step-by-step explanation:
x^2 - 12x + 36 = 90
x^2 - 12x - 54 = 0
x = [tex]\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}[/tex]
a = 1, b= -12, c= -54
6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]
asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?
Answer:
25 dfferent ways
Step-by-step explanation:
The answer is 25 different ways because since there are students and thy line up behind each other you would do 5 times 5 which equals to 25.
If x = 2 and y = 4, what is 6x - 5y?
Answer:
-8
Step-by-step explanation:
6(2) = 12
5(4) = 20
12-20
-8
Answer:
44
Step-by-step explanation:
(6x4)+(5x4)= 44
Solve the following inequality for z. Write your answer in simplest form.
3z – 4 > 8z + 2
Answer:
I think question is wrong
Step-by-step explanation:
3z-4>8z+2
3z-4+4>8z+2+4
3z>8z+6
[tex] \frac{3}{3} z > \frac{8z + 6}{3} \\ z > 8z + 2[/tex]
The sum of two numbers is -25. One number is 101 less than the other. Find the numbers
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Answer:
x=38
y= -63
Step-by-step explanation:
x+y=-25
y=x-101
x+(x-101)= -25
2x=-25+101
2x=76
x=76/2
x=38
y=x-101
y=38-101
y= -63
Help me please please
9514 1404 393
Answer:
A: 8 ft²
B: draw diagonal AC; 4 ft²
Step-by-step explanation:
Part A: The area is given by the formula ...
A = bh . . . . . . . the product of base and height dimensions
A = (9 ft)(8/9 ft) = 8 ft² . . . . area of the parallelogram
__
Part B:
Either diagonal (AC or BD) will divide the parallelogram into two congruent triangles, each with the same base and height as the parallelogram. It is no surprise, then, that the area of either of those triangles is ...
A = 1/2bh
A = 1/2(9 ft)(8/9 ft) = 4 ft² . . . . . . area of triangular half of parallelogram
__
AC divides the figure into congruent acute triangles; BD divides it into congruent obtuse triangles.
Solve
(Perimeter)
Rectangle
Side- 10
Side- 5
Determine the solution
Answer:
:/
Step-by-step explanation:
:/
Which student evaluated the power correctly?
Aida’s Work
5 Superscript 4 = 5 times 5 times 5 times 5 = 625
Hector’s Work
5 Superscript 4 = 5 times 4 = 20
Camila’s Work
5 Superscript 4 = 5 + 5 + 5 + 5 = 20
Juan’s Work
5 Superscript 4 = 5 times 5 times 5 = 125
Answer:
A.
✔ Aida’s Work
Step-by-step explanation:
E 2021
Let X and Y be the following sets:
X = {5, 10, 15}
Y = {3, 6, 9, 12, 15}
Which of the following is the set
XUY?
Answer:
XuY = { 3,5,6,9,10,12,15}
PLEASE HELP ASAP! I WILL MARK BRAINLIEST IF YOU ARE RIGHT! The following dot plot shows the mass, in kilograms, of each of the 46 kittens adopted from an animal shelter last month. Each dot represents a different kitten.
Which of the following is a typical mass of one kitten?
Choose 1 Answer:
A: 1.8 Kilograms
B: 2.2 Kilograms
C: 3.8 Kilograms
D: 4.6 Kilograms
Answer:
1.8
Step-by-step explanation:
here u go <3
The mass of one kitten is 1.8 Kg
What is Mean?Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value. We can think of it as a tendency of data to cluster around a middle value. In statistics, the three most common measures of central tendencies are Mean, Median, and Mode. Choosing the best measure of central tendency depends on the type of data we have.
The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:
Mean = Sum of all observations/Number of observations
Mean = (12 + 34 + 45 + 50 + 24)/5
Mean = 165/5 = 33
Given:
Total kittens= 46
So,
Mean= Total mass/ number of kittens
mean= 0.8* + 1*3 + 1.2*4+ 1.4 * 6+ 1.6*8+ 1.8*8+ 2*7+ 2.2*5 + 2.4 * 2 + 2.6*1+3.8*1 / 46
=80.4/ 46
= 1.75
Learn more about mean here:
https://brainly.com/question/15323584
#SPJ2
pls help me understand this pls show how u got it
Answer:
25 inches
Step-by-step explanation:
Area is given as 75 in^2
Area of a triangle = 1/2 * base * height
75 = 1/2 (6) * height
75 / (1/2 * 6) = height
25 inches = height
Please help with these two problems don't rip me off I'm being generous.
Answer:
8 is $230
Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230
Excuse me brainly, May i have your help..? I will give you the brainiest!
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
how many millitres of curry poweder are needed
Answer:
3 kfjdasidutiriqkvjcksot
Answer:
2 Tbsp
Step-by-step explanation:
Our simple homemade curry powder is an easy way to have instant access to curry powder, using spices that you probably already have in your pantry. (We have found that 2 Tbsp (6 tsp) of curry powder is typically enough to season one recipe of curry for 4 people.)
Hope it helps you. please give me brainliest if it is correct