Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
Match the numbers on the left with their equivalent forms on the right.
1. 2/25 46%
2. 23/50 70%
3. 14/20 0.08
4. 90% 0.9
Answer:
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
Step-by-step explanation:
To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
2x+5 = 11
What is x in this equation
Answer:
x=3
Step-by-step explanation:
Subtract 5 from both sides:
2x=6
Divide both sides by 2:
x=3
Answer:
3
Step-by-step explanation:
2x+5=11
subtract 5 from both sides of the equation
2x=6Then divide by two to both sides of the equation
x=3A car dealership uses the linear model y = -1100x + 25000 to
predict the depreciation of car values as time progresses. If x is how
old the vehicle is in years and y is the current value of the vehicle,
what will the value of the vehicle be 5 years after purchase?
a) $18,400
b) $19,500
d) $23,900
c) $22,700
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
1000
-1000
y-intercept:
(
0
,
25000
)
(0,25000)
x
y
0
25000
25
0
xy025000250
Step-by-step explanation:
a
(づ￣ ³￣)づ
Find the retail price of an item with a wholesale price of $50 at a 30% markup
Answer:
65% i do believe!
Step-by-step explanation:
Answer:
I would say 65% probably
How can deforestation reduce the amount of land that can be farmed?
HELP PLS
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
1/3
Step-by-step explanation:
Since there are ten people, you have to divide three by ten. It would be 1/3.
Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets
Answer:
[tex]P(A\ or\ B) = \frac{1}{50}[/tex]
Step-by-step explanation:
Represent the event that you win with A and the even that your friend win with B.
So, we have:
[tex]P(A) = \frac{1}{100}[/tex]
[tex]P(B) = \frac{1}{100}[/tex]
Required
Calculate P(A or B)
Both events are mutually exclusive.
So:
[tex]P(A\ or\ B) = P(A) + P(B)[/tex]
Substitute values for P(A) and P(B)
[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]
Take LCM
[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]
[tex]P(A\ or\ B) = \frac{2}{100}[/tex]
Simplify:
[tex]P(A\ or\ B) = \frac{1}{50}[/tex]
What is equivalent to 12/24
Answer:
1/2
0.5
2/4
3/6
4/8
50%...
Step-by-step explanation:
i only need 12 13 14
Which of these transaction types
DECREASE how much you owe the credit card
company?
Options:
a. Balance Transfers
b. Cash Advances
c. Payments
d. Interest Charges
Answer:
c. Payments
Step-by-step explanation:
Of all the given options, only (c) Payments decreases amount owed.
(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.
As analysed , each of the above transactions increases debts.
However, (c) Payments implies a credit transaction and as such, reduces the amount owed.
The only transaction type among the given ones that helps to decrease how much you owe the credit card company is;
Option C; Payments
The missing options are;
A) Balance Transfers
B) Cash Advances
C) Payments
D) Interest Charged
We want to find out which of the transactions among the given options would lead to a decrease in the amount you owe the credit card company.
Let's analyze the options;
Option A; Balance transfer means when a customer wants to move the amount he/she owns to a credit card that has lower interest rates. This does not reduce the debts as the debts are still there just that you have moved the funds to another credit card.
Option B; Cash advances are typically short term loans offered the credit card company. Thus, it only increases your debt.
Option C; Payments in this case means paying outstanding debts with the credit card holder. Thus, it helps to decrease how much you owe the credit card company.
Option D; Interest charges are usually the amount issued by the credit card holder for debts accrued over a given period of time.
Looking at the options, the only one that helps to decrease how much you owe the credit card company is Option C.
Read more at; https://brainly.com/question/15125280
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
Help me I am suffering from math T-T
Answer:
7/10
Step-by-step explanation:
3 1/5= 16/5
2 1/2= 5/2
16/5=32/10
5/2=25/10
32/10 - 25/10 = 7/10
Answer:
7/10
Step-by-step explanation:
Step 1 : convert mixed fraction to improper fractions.
Step 2: Find Least common denominators.
Step 3 : Find equivalent fractions and subtract.
[tex]3\frac{1}{5}-2\frac{1}{2}= \frac{(3*5)+1}{5}-\frac{(2*2)+1}{2}\\[/tex]
[tex]= \frac{16}{5}-\frac{5}{2}\\\\=\frac{16*2}{5*2}-\frac{5*5}{2*5}\\\\=\frac{32}{10}-\frac{25}{10}\\\\= \frac{32-25}{10}\\\\= \frac{7}{10}[/tex]
what is 3 over 40 written as a decimal ?
Answer:
0.075
Step-by-step explanation:
3/40 = 0.075
hope it help u
plz follow me
A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.
Answer: 4 units
Step-by-step explanation:
The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.
To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.
At t=0,
[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]
At, t=4,
[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]
Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units
= 4 units
Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.
what is the area of this quadrilateral?
Answer
theres nothing there
Step-by-step explanation:
You prob forgot to provide one
23 inches is what fraction of a yard
Answer:
0.6
Step-by-step explanation:
1 inch = 0.0278
so 23 inches = 0.6 yard
Which is the product in the expression 5(z+6)-25+x
If you have 100,000,000 dollars how many NFL teams can you buy. (NFL teams cost 32,00 dollars.)
Answer:
3125
Step-by-step explanation:
Answer:
There is only 32 so it 32
Step-by-step explanation:
Because there’s only 32
find the value=
sin 30° + cos 60° + tan 0
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
The difference between two numbers is 2.5 . The product of those two numbers is 21. Provide the 2 equations needed to solve the application separated by a comma and NO SPACES.
Answer:
x-y=2.5,xy=21
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
One of the numbers is x.
The other number is y.
The difference between two numbers is 2.5
This means that x - y = 2.5
The product of those two numbers is 21.
This means that xy = 21.
So the two equations are: x-y=2.5,xy=21
Find the Value of x in each figure.
[REFER TO ATTACHED PICTURE]
Answer:
First pic) x = 10
Second pic) x = 25
-
Step-by-step explanation:
☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other
☆The equation would be a 9x - 15 = 7x + 5.
☆Let's solve it!
[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]
-------
☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.
☆The equation would be: 2x + 15 + x = 90.
☆Let's solve it!
[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]
© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =
Graph the equation. Y=3x+4
here is what the graph would look like. hope this helps! xoxo
A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need
Answer:
Step-by-step explanation:
He needs 1 pint to get the 3 quarts to 4 quarts.
4 quarts = 1 gallon.
So if he buys 1 pint he will have 1 gallon.
He needs 5 gallons.
He has 1 gallon
He needs 5 - 1 = 4 gallons.
Answer: he needs 1 pint and 4 gallons.
There are 9 students in the art club. The students shared 150 sheets of construction paper equally for an art project. How many sheets of paper were left over?
Answer: 6 sheets left over.
Step-by-step explanation:
Given, Total students = 9
Total sheets = 150
If sheets were divided equally, then the number of sheets each student got = Total sheets ÷ Total students
= 150 ÷ 9
[tex]= 16\dfrac{6}{9}[/tex]
So, each student got 16 sheets and 6 sheets left over.
Hence, 6 sheets were left over.
How much longer is 3/8 foot than 1/8 foot?
Answer:
2/8 foot longer
Step-by-step explanation:
6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
1) a right triangle
2) an acute triangle
3) an obtuse triangle
4) an equilateral triangle
Answer:
1) a right triangle
Step-by-step explanation:
One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.
Compute 292,000 divide 100.
The division 292,000 divide 100. results to 2920.
What is Division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given:
292,000 divide 100.
We know division with zero in the denominator is different and easy.
As, 292000 have three and 100 have two zeroes.
So, the two zero of hundred cancels out the two zeroes of 292000.
So, 292000/ 100
= 2920
Hence, the division results to 2920.
Learn more about Division here:
https://brainly.com/question/21416852
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Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer
plz plz plz
i am running out the time
Answer:
mode:7
range:8
Step-by-step explanation:
mode is the most repeated number
range is the greatest -smallest number