Answer:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
[tex]\hat p=0.30[/tex] estimated proportion of people who thought the economy is getting worse
[tex]p_o=0.32[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:[tex]p=0.32[/tex]
Alternative hypothesis:[tex]p \neq 0.32[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
Answer:
2^5
Step-by-step explanation:
The base is the same
2^3 * 2^2
We are multiplying, so we can add the exponents
2^3 * 2^2 = 2^(3+2) = 2^5
Answer: [tex]2^{5}[/tex]
Explanation: I have written this problem on the whiteboard.
For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.
So 2³ · 2² is just [tex]2^{5}[/tex].
A common mistake in this problem would
be for students to say that 2³ · 2² is [tex]4^{5}[/tex].
It's important to understand however that when applying your
exponent rules, your base in this case 2 will not change.
What is the volume of this aquarium?
Answer:
9,000 inches^3
Step-by-step explanation:
The first part is 20 x 20 x 20, which equals 8,000
The second part is 10 x 10 x 10, which is 1,000
1,000 + 8,000 = 9,000
What is the range of the graph of the equation y= k/x?
Answer:
all real number except 0
Step-by-step explanation:
The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?
Answer:
-9
Step-by-step explanation:
3 time 7
minus
4 times 8
21 - 32
-11+2= -9
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answer:
7
Step-by-step explanation:
:)
Multiply: –c2(3c – 2)
Answer:
3c^3+2c^2
Step-by-step explanation:
Answer:
3c^3 +2c^2
Step-by-step explanation:
–c^2(3c – 2)
Distribute
=c^2 * 3c - c^2 * -2
3c^3 +2c^2
Solve a two step equation and identify the steps to equals 2= -7/4+1/4 X
Answer:
x = 15
Step-by-step explanation:
Step 1: Write out equation
1/4x - 7/4 = 2
Step 2: Add 7/4 to both sides
1/4x = 15/4
Step 3: Divide both sides by 1/4
x = 15
Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]
[tex] \frac{8}{EH} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3*8 = 2*EH [/tex]
[tex] 24 = 2*EH [/tex]
Divide both sides by 2 to make EH the subject of formula
[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]
[tex] 12 = EH [/tex]
The length of side EH = 12 m
SNOG PLEASE HELP! (x-1)(y+8)
Answer:
xy + 8x - y - 8
Step-by-step explanation:
We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.
F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.
O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.
I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.
L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.
Adding all of these together, we get xy + 8x - y - 8 as our final answer.
Hope this helps!
Answer:
[tex]xy+8x-y-8[/tex]
Step-by-step explanation:
=> (x-1)(y+8)
Using FOIL
=> [tex]xy+8x-y-8[/tex]
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:
First Derivative
[tex]h'(t) = -32\cdot t +128[/tex]
Second Derivative
[tex]h''(t) = -32[/tex]
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
[tex]-32\cdot t +128 = 0[/tex]
[tex]t = \frac{128}{32}\,s[/tex]
[tex]t = 4\,s[/tex] (Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]
[tex]h(4\,s) = 576\,ft[/tex]
The highest altitude that the object reaches is 576 feet.
Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplication.
Answer: (10 - 3) x 25 = 175
Step-by-step explanation:
10 - 3 = 7
7 x 25 = 175
Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L,L, in terms of t,t, representing the amount Alexa owes her friend after tt weeks.
Answer:
[tex]L(t) = 170 - 10t[/tex]
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
[tex]L(t) = L(0) - bt[/tex]
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So
[tex]L(t) = L(0) - bt[/tex]
[tex]L(t) = 170 - 10t[/tex]
A man bought a pair of jeans for $23.00 a shirt for $14.00 and two ties for $7.98 each. What was the total cost of his clothing ?
Answer:
$52.96
Step-by-step explanation:
To find the total cost of his clothing, add up the prices of everything he bought.
Jeans: $23.00
Shirt: $14
Ties: 2 ties for $7.98 each.
Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98
2*$7.98 = $15.96
Add all the prices together.
jeans + shirt + ties
$23 + $14 + $15.96
$37 + $15.96
$52.96
The total cost of his clothing is $52.96
Answer:
total cost=52.96
Step-by-step explanation:
Things he bought:
jeans for $23.00
a shirt for $14.00
two ties for $7.98 each
the total const would be the sum of all his clothes
which is
jeans for $23.00
+shirt for $14.00
+one tie for $7.98
+one tie for $7.98
_______________
total cost=52.96
HOPE IT HELPS :0
PLEASE MARK IT THE BRAINLIEST!
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answer:
6
Step-by-step explanation:
nerd physics
A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent
Answer:
9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22
Step-by-step explanation:
Unit price of any product is given by
unit price = weight of product/ price of product
Given sizes
A
13.5 ounces bottle cost $2.98
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22
Unit price for this size is $.022
B
9.2 ounce bottle cost $6.12
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66
Unit price for this size is $0.66
As $0.22 is less than $0.66 thus,
9.2 ounce bottle cost $6.12 is better buy.
Factor: 3d + 6d + 3.
Hey there! :)
Answer:
3(d + 1)²
Step-by-step explanation:
Given 3d² + 6d + 3:
Begin by factoring out '3' from each term:
3(d² + 2d + 1)
Factor terms inside of the parenthesis:
3(d + 1)(d + 1) or 3(d + 1)².
Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED
Answer: I had the same assingment and came here looking for answers myself. When I saw the only anwser was 20 (Which is wrong) I decided I would try my best and If I got it right come back here and share the correct answers for future students.
Just look at the PDF attached below, I somehow got a 50/50.
Step-by-step explanation:
Statements Reasons
1. △EGC ≅ △EGB 1. Given
2. EB ≅ EC Supposition
3. <EGC ≅ <EGB Given
4. Equilateral Triangle EB ≅ EC ≅ BC
5. Equilateral Triangle m∠BEC = 60°
Statements Reasons
1. △BEC is equilateral AAS≅AAS postulate (angle angle side)
2. m∠ GCE = 60° m∠ BEC = 60° Equilateral Triangles
3. FG ⊥ BC & FG ⊥ AD ABCD is a square
4. m∠ECD + m∠ BEC = 30°+60° Substitution (right angles)
m∠DCG = 90° right angles of a square
m∠BED= 135°
Statements Reasons
1. △ECG ≅ △EBG Given
2. ABCD is a square Given
3. BC ≅ BE Given
4. AB ≅ DC ABCD is a square
5. m∠ABE ≅ m∠DCE Outside angles of congruent
triangles △EGB≅ △EGC
5. △AEB≅ △DEC S.S.A ≅ S.S.A. ( side side angle) Postulate
△BEC is equilateral m∠BEC = 60°
△ECD is isosceles m CD= mCE
∠ECD = 30° m∠BEC = 60°
As m∠BEC +∠ECD = 30°+ 60° right angle of the square ABCD
The equal sides of the isosceles triangles are called the legs and the unequal third side is called the base.
Angles opposite to the equal sides of the isosceles triangle must also be equal.
As the third angle is 30° so the other two angles must be 75° each to make a total of 180°.
m∠BED= m∠BEC + m∠CED
= 60° + 75°= 135°
https://brainly.com/question/22140109
A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?
Answer:
The z–score corresponding to 45 is z=2.
Step-by-step explanation:
We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.
The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.
The z-score for X=45 can be calculated as:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]
The z–score corresponding to 45 is z=2.
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
College students spend $183 more each year on textbooks and course materials than on computer equipment. They spend a total of $819 on textbook and course materials and equipment each year. How much is spent each year on textbooks and course materials and computer equipment?
Answer:
Textbooks: $506Course Materials and Electronics: $323Step-by-step explanation:
First, we need to divide the amount into 2 equal parts:
$819/2 = $414.50
Now, because they spent $183 more on textbooks, we add half of that to $414.50.
$414.50 + $91.50 = $506
$414.50 - $91.50 = $323
To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.
$323 + $183 = $506 ✅
Textbooks: $506Course Materials and Electronics: $323I'm always happy to helphelpppppppp with this please will give bralienst
Answer:
n = 600
Step-by-step explanation:
To solve this equation:
1. Simplify all like terms: 5400/9 = 600 = n
2. The n cannot be simplified.
3. The answer is n = 600 because 5400/9 is 600 which is equal to n
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $34,000; second year, $76,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 1st Year 2nd Year 3rd Year 4th Year Preferred stock (dividends per share) $ 0.57 $ 0.63 $ 0.6 $ 0.6 Common stock (dividends per share) 0.00 0.09
Answer and Step-by-step explanation:
The computation of dividends per share on each class of stock for each of the four years is shown below:-
Particulars 1st year 2nd-year 3rd-year 4th year
Preferred dividend
paid a $34,000 $38,000 $36,000 $36,000
Number of preferred
stock b 60,000 60,000 60,000 60,000
Dividend per share
(a ÷ b) $0.57 $0.63 $0.60 $0.60
Dividend paid to common
stockholders c $0 $38,000 $44,000 $64,000
Number of common stock
shares d 410,000 410,000 410,000 410,000
Dividend per share
on common stock $0 $0.093 $0.11 $0.16
(c ÷ d)
Working note:
Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend
= 60,000 × $20 × 3%
= $36,000
Preferred stock
For 1st year
= $34,000
For 2nd-year
Dividend in year 2+ Dividend balance in year 1
= $36,000 + ($36,000 - $34,000)
= $38,000
For 3rd-year
= $36,000
For 4th year
= $36,000
Common stock dividend
Particulars 1 year 2 year 3 year 4 year
Total dividend paid $34,000 $76,000 $80,000 $100,000
Less:
Preferred stock
dividend $34,000 $38,000 $36,000 $36,000
Dividend paid to common
stockholders $0 $38,000 $44,000 $64,000
if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree
Answer:
x = 45 degrees
Step-by-step explanation:
The measure of exterior angles is equal to the sum of non-adjacent interior angles
=> 2x = x+45
=> 2x-x = 45
=> x = 45 degrees
Answer:
45 degrees.
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles.
2x = x + 45
2x - x = 45
x = 45.
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
Which is the best description for the graph?
The graph is increasing everywhere
The graph is decreasing everywhere
The graph is increasing then decreasing
The graph is decreasing then increasing
Answer:
D
Step-by-step explanation:
It's decreasing then once it hits the origin, it starts to increase again. I hope this helps you:)
Answer:
D
Step-by-step explanation:
If f(7) = 8 find
f-1(8)
Answer:
34293
Step-by-step explanation:
because it 36 and 45. it is right
Please answer this correctly
Answer:
3/20s
Step-by-step explanation:
(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21
Answer:
b. 9
Just use PEMDAS
11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never
Answer:
never intersect
Step-by-step explanation
parallel lines do not intersect and neither do parallel planes
How much dirt is in a hole that is 3 in by 3 in by 1 ft? Please give a detailed explanation for Brainliest.
Answer:
Well the best answer would be 1 0.75 cubic feet bag of dirt
Step-by-step explanation: