If three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
Number of days that three hens lay 9 eggsGiven:
3 hens lay 3 eggs in 3 days
First step is to determine the number of egg one hen lay in 3 days
1 hen in 3 days lays 3/3
1 hen in 3 days lays=1 egg
Second step is to determine the number of egg 3 hens lay 1 day
1 hen in 1 day lays 1/3 egg
3 hens in 1day lay=(1×3)/3
3 hens in 1day lay=1 egg
Third step is to determine the number of eggs 3 hens lay in 9 days
3 hens in 9 days lay=(1×9)
3 hens in 9 days lay=9 eggs
Therefore assuming three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
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what is - 1/5 ( -2 1/4) ?
Heyy how do I solve this
Answer:
1200 centimeters
Step-by-step explanation:
Hello!
1meter=100centimeters
12meter = ?
[tex]thus \: \frac{12m \times 100cm}{1m} = 1200cm[/tex]
Answer:
1200cm
Step-by-step explanation:
1m=100cm
12m=xcm
by multiplying cris cross
x=12*100
x=1200cm
12m=1200cm
120 high school seniors were asked,
"Are you going to the graduation
party?" Of those 120 students, 75 said yes. Estimate the population mean
that a senior will say they are going to the graduation party.
Using proportions, the estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The estimate of a population proportion is the sample proportion. In this problem, the sample proportion is of 75 out of 120 students, hence:
p = 75/120 = 0.625 = 62.5%.
The estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
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In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1360 U.S. adults (selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using α = 0.05, test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
Using the z-distribution, it is found that since the p-value is greater than 0.05, there is not enough evidence to conclude that there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is still of 44%, that is:
[tex]H_0: p = 0.44[/tex]
At the alternative hypothesis, it is tested if the proportion is now different of 44%, that is:
[tex]H_1: p \neq 0.44[/tex]
What is the test statistic?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.For this problem, the parameters are:
[tex]p = 0.44, n = 1360, \overline{p} = \frac{626}{1360} = 0.4603[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4603 - 0.44}{\sqrt{\frac{0.44(0.56)}{1360}}}[/tex]
z = 1.51
What is the p-value and the conclusion?Using a z-distribution calculator, for a two-tailed test, as we are testing if the proportion is different of a value, with z = 1.51, the p-value is of 0.1310.
Since the p-value is greater than 0.05, there is not enough evidence to conclude that there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes.
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Composition of two functions:Basic
The functions, q(x) and r(x) are defined as 2•x + 1, and -5•x - 3, respectively, therefore;
[tex] \: (q \: \circ \: r) (1)= - 15[/tex]
[tex] \: (r \: \circ \: q) (1)= -18[/tex]
Which method can be used to evaluate the given composite functions?The given functions are;
q(x) = 2•x + 1
r(x) = -5•x - 3
The evaluation of the composite functions can be presented as follows;
[tex](q \: \circ \: r) (x)= q(r(x))[/tex]
Therefore;
[tex](q \: \circ \: r) (1)= q(r(1))[/tex]
r(1) = -5×1 - 3 = -8Which gives;
[tex](q \: \circ \: r) (1)= q( - 8)[/tex]
q(-8) = 2×(-8) + 1 = -15
Therefore;
[tex](q \: \circ \: r) (1)= - 15[/tex]
Similarly, we have;
[tex](r \: \circ \: q) (1)= r(q(1))[/tex]
q(1) = 2×1 + 1 = 3
r(3) = -5×3 - 3 = -18
Which gives;
[tex](r \: \circ \: q) (1)= -18[/tex]
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A garden table and a bench cost 697 combined. The garden table costs 53 less than the bench. What is the cost of the bench?
First, I will subtract 53 from 697.
697 - 53 = 644
Next, I will divide the total by 2.
644 / 2 = 322.
This means the cost of the garden table is 322.
I will add 53 back to the total.
322 + 53 = 375.
The cost of the bench is $375.
What is the rise and the run please help
Answer:
-1
Step-by-step explanation:
Rise=2
Run=-2
2/-2=
-1
Find the surface area of the figure. For calculations involving pi , give both the exact value and an approximation to the nearest hundredth of a unit. Let r=10 and h = 3.
Answer:
exact: SA = 260π in.²
approximate: SA = 816.81 in.²
Step-by-step explanation:
SA = 2πr² + 2πrh
r = 10 in.
h = 3 in.
SA = 2πr(r + h)
SA = 2π(10 in.)(10 in. + 3 in.)
SA = 260π in.²
SA = 816.81 in.²
_A straight line L has equation 3y=5x-6. Find the gradient of L
Answer:
gradient = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope/gradient and c the y- intercept )
given
3y = 5x - 6 ( divide through by 3 )
y = [tex]\frac{5}{3}[/tex] x - 2 ← in slope- intercept form
with gradient = [tex]\frac{5}{3}[/tex]
8 -2 5\8 how do I solve this. Can u show me the steps
Answer:
= 5.375
Step-by-step explanation:
Use the algorithm method.
7 9 9 10
8 . 0 0 0
- 2 . 6 2 5
5 . 3 7 5
= 5.375
Answer:
5 3/8
Step-by-step explanation:
change it so that every number is a improper fraction and same denominator
64/8 - 21/8 = 43/8 = 5 3/8
Times interest earned
Averill Products Inc. reported the following on the company’s income statement in 20Y8 and 20Y9:
20Y9 20Y8
Interest expense $440,000 $400,000
Income before income tax expense 5,544,000 4,400,000
a. Determine the times interest earned ratio for 20Y8 and 20Y9. Round to one decimal place.
20Y9 20Y8
Times Interest Earned
fill in the blank 1
fill in the blank 2
b. Is the change in the times interest earned ratio favorable or unfavorable?
The times interest earned ratio for 20Y8 and 20Y9 are 11 and 12.6 respectively.
The change in the times interest earned ratio is favorable.
According to the question,
In 20Y8 and 20Y9, Averill Products Inc. disclosed the following on its income statement:
For 20Y9,
Interest expense= $440,000
Income before income tax expense= $5,544,000
Times interest earned ratio= 5544000/440000 = 12.6
For 20Y8,
Interest expense=$400,000
Income before income tax expense=$4,400,000
Times interest earned ratio= 4400000/400000 =11
As the times interest earned ratio for 20Y9 is greater than that for 20Y8,the change in the times interest earned ratio is favorable.
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Find one value of x for which h(x)=4 and find h (-2)
the solutions are:
h(x) = 4 for x = 0h(-2) = 2How to find the value of x for which h(x) = 4?The only information of h(x) that we have is the given graph.
To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.
That intersection will give the value of x for which h(x) = 4.
Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).
Now we want to find h(-2), and we can do that using the graph.
By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:
h(-2) = 2
Concluding, the solutions are:
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divide 5 by 6 and 5/6 into a repeating decimal
_
Answer: 0.83
Step-by-step explanation:
5/6 = 0.8333...
_
0.8333... = 0.83
The centre of the stained glass window is in the shape of a regular polygon. What are the measures of the interior angle of the green triangle?
CAN SOMEONE EXPLAIN WITH REASONING STEP BY STEP Solution so I can grasp the concept easily. please explain with a sol
Answer:
67.5 - 67.5 - 45 °
Step-by-step explanation:
Sum of INTERIOR angles of a polygon
(n-2) * 180 <====ya just have to remember/know this !
n is the number of sides n = 8 in this case
(8-2)*180 = 1080 ° < === this is the SUM of the 8 interior angles
EACH interior angle is then 1080 / 8 = 135 °
you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each
so the triangle measurements are
67.5 - 67.5 - 45 ( they have to sum to 180 for triangle)
The sum of a number and seven is six less than four times the number. Write an algebraic equation and solve to find the number.
Answer:
13/3 or 4.333
Step-by-step explanation:
Let the number be x
the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x
Solve:
x+7+6 = 4x
x+13 = 4x
13 = 3x
x = 13/3
AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED THAT ONLY
85% OF THE BOOKED PASSENGERS ACTUALLY ARRIVE FOR THE FLIGHTS.) FIND THE PROBABILITY THAT IF AMERICAN AIRLINES BOOKS 15 PEOPLE, NOT ENOUGH SEATS
WILL BE AVAILABLE
Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874[/tex]
0.0874 = 8.74% probability that not enough seats will be available.
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PLEASE I NEED THIS FAST there are 3 denominations of bills in a wallet: $1, $5, and $10. there are 5 fewer $5-bills than $1-bills there are half as many $10-bills if there is $115 altogether, find the number of each type of bill in the wallet
The count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
In the question, we are given that there are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills.
We are asked to find the count of each denomination, given there was altogether $115 in the bag.
We assume the number of $1-bills in the bag to be x.
Total amount in x bills of $1 = x * $1 = $x.
Given that there are 5 fewer $5-bills than $1-bills in the bag, number of $5-bills in the bag = x - 5.
Total amount in (x - 5) bills of $5 = (x - 5) * $5 = $5(x - 5).
Given that there are half as many $10-bills as $5-bills in the bag, number of $10-bills in the bag = (x - 5)/2.
Total amount in (x - 5)/2 bills of $10 = (x - 5)/2 * $10 = $5(x - 5).
Thus, the total amount in the bag = $x + $5(x - 5) + $5(x - 5).
But, the total amount in the bag = $115.
Thus, we get an equation:
$x + $5(x - 5) + $5(x - 5) = $115,
or, x + 5x - 25 + 5x - 25 = 115,
or, 11x = 115 + 50,
or, 11x = 165,
or, x = 165/11,
or, x = 15.
Thus, number of $1-bills = x = 15.
The number of $5-bills = x - 5 = 15 - 5 = 10.
The number of $10-bills = (x - 5)/2 = (15 - 5)/2 = 10/2 = 5.
Thus, the count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
The provided question is incomplete. The complete question is:
There are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills. If there is $115 altogether, find the number of each type of bill in the wallet."
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need heeeelp please
Answer:
1) log7 (5*8)= log7(40)
2) log2(11) -log2(9)=log2(11/9)
3)2log9 2=log9(2^2)
Jon rented a car a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 400 miles and was charged $210. His friend Amanda later rented the same car for 7 days and drove 360 miles and was charged $229. What was the daily rental charge? How much did the company charge per mile?
Find a formula for the nth term
of the arithmetic sequence.
First term -2
Common difference 8
an = [? ]n + []
cd+(-6c)=150 when d=4
Answer:
c = -75
Step-by-step explanation:
cd + (-6c) = 150
d = 4
c(4) + (-6c) = 150
4c - 6c = 150
-2c = 150
c = -75
For what value of x is the rational expression below undefined?
3x+15/6-x
Let the function be (3x+15)/(6-x) then the value of x exists at -5.
What is the value of x?Given: Rational Expression (3x+15)/(6-x)
To find the value of x when given a rational expression equivalent to 0.
To estimate the value of x, convey the variable to the left side and convey all the remaining values to the right side. Simplify the values to estimate the result.
Consider, (3x+15)/(6-x) = 0
3x + 15 = 0(6-x)
3x + 15 = 0
Subtract 15 from both sides of the equation, e get
3x + 15 - 15 = 0 - 15
simplifying the above equation, we get
3x = 0 - 15
3x = -15
Divide both sides by 3, then we get
x/3 = -15/3
x = -5
Therefore, the value of x exists at -5.
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please help!!! the photo below
Answer:its (-2,1), (-6,-15)
Step-by-step explanation:
s−3(s+6)= ASAP I NEED ANSWER PLEASE
Answer: −2(
Answer:
Simplified: −2s − 18
Step-by-step explanation:
Simplify the expression.
The coefficient of 2(3)(6)Q is
Answer:
36Q
Step-by-step explanation:
multiply all together we have 36Q
Question 2 of 25
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
A. 0.26
B. 0.24
C. 0.28
D. 0.25
SUBMIT
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
How to estimate the sample proportion?We know that the confidence interval for sample proportion exists estimated as;
90% confidence interval = Sample proportion Margin of Error
Here, let [tex]$\hat{p}[/tex] = sample proportion
Level of significance = 1 - 0.90 = 0.[tex]$(0.22,0.28)=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]10 or 10% Critical value of z at 5% (two-sided) level of significance exists 1.645.
So, 90% confidence interval [tex]$=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots(1)$[/tex]
[tex]$0.28=\hat{p}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots (2)[/tex]
From (1) and (2) , we get;
[tex]$&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\[/tex]
Simplifying the equation, we get
[tex]$&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22 \\[/tex]
[tex]$&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06 \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645} \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.02[/tex]
Now, squaring both sides, we get;
[tex]$\frac{\hat{p}(1-\hat{p})}{n}=0.0004 \\[/tex]
[tex]$n=\frac{\hat{p}(1-\hat{p})}{0.0004}[/tex]
Now, putting value of n in (1), we get;
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{\hat{p}(1-\hat{p})} \times 0.0004}$[/tex]
Simplifying the equation, we get
[tex]$0.22=\hat{p}-1.645 \times \sqrt{0.0004}$[/tex]
[tex]$0.22=\hat{p}-(1.645 \times 0.02)$[/tex]
[tex]$0.22=\hat{p}-0.033$[/tex]
[tex]$\hat{p}=0.22+0.033=0.253$[/tex].
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
Therefore, the correct answer is option D. 0.25.
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Find the area of the trapezoid 3cm 3cm 4cm 1cm
Answer:
8√2 cm²
Refer to the attached page,I've shown the complete calculation over there
follow the steps to find the area of the shaded region. 14 46 14
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
How to calculate the area of the sector?The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
How to calculate the area of a triangle with an angle?The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
Calculation:It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
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what’s the volume of the sphere
Answer:
[tex]\pi[/tex]([tex]r^{2}[/tex]h)
Step-by-step explanation:
r = radius
h = height
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
The Area of the shaded region of the circle = 60.75π m²
The Length of arc ADB = ∅/360 × 2πr = 13.5π m.
What is the Area of a Shaded Region?The area of the shaded region in the circle = area of the sector of a circle = ∅/360 × πr², where r is the radius of the circle and the central angle is ∅.
What is the Length of an Arc of a Circle?The length of the arc on a circle = ∅/360 × 2πr, where r is the radius of the circle and the central angle is ∅.
Given the following:
Central angle (∅) = 360 - 90 = 270°
Radius (r) = 9 m.
Area of the shaded region of the circle = ∅/360 × πr² = 270/360 × π(9²)
Area of the shaded region of the circle = 270/360 × π81
Area of the shaded region of the circle = 60.75π m²
Length of arc ADB = ∅/360 × 2πr = 270/360 × 2π(9)
Length of arc ADB = ∅/360 × 2πr = 270/360 × 18π
Length of arc ADB = ∅/360 × 2πr = 13.5π m.
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