The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.
How to calculate the mean?From the information given, the mean of the binomial variable x will be:
= 2000 × 60%
= 2000 × 0.6
= 1200
The standard deviation will be:
= ✓n × ✓p(1 - p)
= ✓1200 × ✓0.4
= ✓480
= 21.9
Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.
Lastly, the test statistic will be:
= (0.65 - 0.60)/(✓0.60 × (0.40) /2000
= 0.05/✓0.24/2000
= 0.05/0.011
= 4.55
The z value at 5% significance level is 1.64. This supports the funding of the proposal.
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The length of a rectangle is 7 cm greater than its width. The area of the rectangle is 260 cm². This situation can be expressed by the equation w^2+7w−260=0.
What is the width of the rectangle? Remember that a measurement can only be positive.
Enter your answer in the box.
Answer:
I think the answer is 15 but I am not sure hoping this helps good luck
Answer:
its 13
Step-by-step explanation:
Three friends combine their
money to buy tickets for a hockey game. If they
share the change evenly, how much will each
friend receive? Write equations to represent the problem then solve.
Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
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Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?
Answer:
4 cups of sugar
Step-by-step explanation:
2 x 2 = 4
Toya will use 4 cups of sugar.
PLEASE HELP BRAINLIEST AND 10 POINTS
A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?
47 lbs
hope this helps
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
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If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?
Answer:
$16.8
Step-by-step explanation:
Discount amount
21 x .2 = 4.2
Discount
21 - 4.2 = 16.8
Answer:
16.8
Step-by-step explanation:
Please help l just don’t understand new topic
If the value of a is 8 in f(x)=ax^2 what does the graph look like?
A) a parabola that opens down
B) a parabola that opens up
C) a parabola that opens left
D) a parabola that opens right
Answer:
B
Step-by-step explanation:
Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.
Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error
Answer:
Step-by-step explanation:
If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8. Carter misplaced his decimal point.
50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?
Answer:
186
Step-by-step explanation:
186-50%= 93 or since 50% is half off 93×2=186.
What do we do to both sides of this equation to solve?
x/3 =5
Question 4 options:
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Multiply both sides by 3
Step-by-step explanation:
x/3 = 5
x/3 × 3 = 5×3
x = 15
Answer:
multipy both sides by 3
Step-by-step explanation:
There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
Consider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
Pls consider me for Brainliest!!
Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
HELP PLS MY SISTER NEEDS HELP A LOT I WILL GIVE BRAINLIEST
Answer:
38 is the correct answer
Step-by-step explanation:
6 x 7 - 16 ÷ 4
BODMAS
Division first
6 x 7 - 4
Then multiplication
42 - 4
Then subtraction
=38
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Which is the best estimate of the capacity of a bathtub? A. 5 milliliters B. 50 milliliters c. 5 liters D. 50 liters
Answer:
D 50 liters
Step-by-step explanation:
mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer
Given that y is inversely proportional to ( x + 7) and that y = 5 when x = 2,express y in terms of x..... Please help
Answer:
like if it's rere it's ree duh awsee a
i really need help please
Answer:
56⁰
Step-by-step explanation:
I hope it helps you
If any doubts do let me know in the comments
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation:
Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle
Answer:
No
Step-by-step explanation:
The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.
What is the surface area of the figure below
Answer: Its 120 cm
Step-by-step-explenation:
All you have to do is multiply
3x2=6
6x5=30
30x4=120
Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please
What does AC=?
Round your answer to the nearest hundredth.
Please help
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]
cos(40) = [tex]\frac{x}{4}[/tex]
0.766 ≈ [tex]\frac{x}{4}[/tex]
3.06 ≈ x
x ≈ 3.06
Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
PLEASE HELP QUICKKKK I GIVE BRAINLYIST PLEASEE
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
Answer:
b
Step-by-step explanation:
the answer is b
in the problem you can put the expression into a calculator and you will get the answer 3
in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3
I HOPE I HELPED A BIT<3
dialations he said she said answer key
Answer: What?
Step-by-step explanation: