Answer:
The difference between the two throws is 6/7 yards
Step-by-step explanation:
Beatrice throw=1 7/14 yards
Tilly throw=9/14 yards
Difference between the two throws=Beatrice throw - Tilly throw
=1 7/14 - 9/14
=21/14 - 9/14
= 21-9/14
=12/14
=6/7 yards
The difference between the two throws is 6/7 yards
PLEASE HELP! Thank you!!!
A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chamber and put two pieces of paper in his briefcase. He told the Prime-Minister that "On one piece of paper it says 'leave' and on the second piece of paper it says 'stay'". The piece of paper that you pull out of the briefcase will decide your fate." The Prime-Minister realized that both pieces of paper say 'leave'. What should the Prime-Minister do to be able to keep his position?
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
no clue how to do this, someone pls help
Answer:
6π
Step-by-step explanation:
First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr
Leaving it in terms of pi, the circumference is 8π
Now we need to find the length of the arc.
Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.
3/4 of 8π is 6π
ANSWER QUICKLY plzzzzzz
Answer:
$95.42 more
Step-by-step explanation:
To find out how much money was made with Investment A after 2 years:
First, we are told that 160 dollars is saved per month for 2 years. There are 24 months in 2 years, so we have to multiply $160 by 24 months.
160 *24=$3840 after 2 years.
Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years. So, we must turn 2.5% in to a decimal, which is 0.025.
Now, multiply 3840*0.025 to get $96.
We have to add that on the the amount saved, so 3840+96=$3936.
Investment A made $3936 after 2 years.
To find out how much money was made with Investment B.
So, we have to find compound interest. The formula for compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
In this problem: P=3800, r=3% or 0.03, n=1, and t=2.
So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]
That becomes: [tex]A=3800(1.03)^{2}[/tex]
Simplify it even further: [tex]A=3800(1.0609)[/tex]
Multiply the last two numbers to get: [tex]A=4031.42[/tex]
Investment B made $4031.42 after 2 years.
The question asks us to find out how much more money Investment B made than Investment A after 2 years. It's simple. Just subtract Investment A's amount from Investment B's amount.
4031.42-3936=95.42
Investment B made $95.42 more than Investment A after 2 years.
The measure of one base angle is an isosceles triangle is 20 degree. the measure of the largest angle in the triangle is
Answer:
140°
Step-by-step explanation:
Every triangles angles when combined equals 180°
In an isosceles triangle there are 2 acute angles and one obtuse angles.
It was given that the base angle/acute angle is 20°
This brings us to our equation. 20° + 20° + x = 180°
20 + 20 = 40
40 + x = 180
Now we solve algebraically:
180-40= 140
Therefore the answer is x = 140°
I hope this helps!
Find the value of x. Round the length to the nearest tenth.
Answer:
x=6 and x=5.1
Step-by-step explanation:
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?
Answer:
T = 1.5s
Step-by-step explanation:
Hello,
To find the time the pincone hits the ground, we need to use the equation given.
Note that h = 0 when the pinecones hits the ground.
This question relates to motion under gravity.
h = -16t² + 36
0 = -16t² + 36
Make t² the subject of formula
16t² = 36
t² = 36 / 16
t² = 2.25
Take the square root of both sides
t = √(2.25)
t = 1.5s
The time it takes the pinecone to hit the ground is 1.5s.
The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that differs from the mean by at least 2 standard deviations. That is, significant values are either less than or equal to muminus2sigma or greater than or equal to muplus2sigma.
Answer:
Yes, it would be statistically significant
Step-by-step explanation:
The information given are;
The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%
Number of jawbreakers in the sample, n = 800
The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p
The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]
Solving for the standard deviation gives;
[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]
Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480
For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7
The z-score of 494 jawbreakers is given as follows;
[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]
[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]
Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.
Answer:
Step-by-step explanation:
min 452, max 507, so 494 is not unusual.
..................................
Answer:
A
Step-by-step explanation:
Type in the equation of the graphing calculator and press graph
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
Pam works as an office administrator. She spends $7500 of her income on personal expenses each year. If this represents 18% of her salary, how much money does Pam earn in one year?
Answer: Pam's total salary is $41666.666
Step-by-step explanation:
Assume her total earning or salary per year = y
Personal expenses spent yearly = $7500
Personal expenses yearly ($7500) = 18% of y
100%y =
18% of y = 7500
(18/100)y = $7500
100% y = Total salary
0.18y = $7500 - - - - - - - (1)
1y = Total salary
(Total salary * 0.18y) = (7500 * y)
Total salary = 7500y / 0.18y
Total salary = 7500/0.18
Total salary = $41666.666
Solve the equation for x.
Answer:
x = 27
Step-by-step explanation:
2/3x - 1/9x + 5 = 20
Subtract 5 from each side
2/3x - 1/9x + 5 -5= 20-5
2/3x - 1/9x = 15
Get a common denominator on the left side
2/3 *3/3 x - 1/9x = 15
6/9x - 1/9x = 15
5/9 x = 15
Multiply each side by 9/5
9/5 * 5/9x = 15 * 9/5
x = 15/5 *9
x = 3*9
x = 27
Answer:
x=27
Step-by-step explanation:
2/3 x -1/9 x+5=20
2/3x -1/9 x=20-5 common denominator
(6x-1x)/9=15 multiply each side by 9
(5x)=135
5x=135
x=135/5=27
x=27
What is the value of y? Answer asap
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
Examine the diagram of circle C. Points A, B, and Q are on circle C. Given that m∠ACB=52∘, what is the arc length of AQB⌢?
Hey there! :)
Answer:
Third choice: 13π/15 in.
Step-by-step explanation:
Begin by finding the circumference of the entire circle. Use the formula
C = 2rπ to solve:
C = 2(3)π
C = 6π.
Next, we can set up a proportion to find the arc length of AQB:
[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]
Cross multiply:
52 · 6π = 360 · x
312π = 360x
Divide both sides by 360:
312π/360 = 360x/360
x = 13π/15 in.
Answer:
The answer is 77n/15 inches :)
Step-by-step explanation:
find the value of x and explain
Answer:
D
Step-by-step explanation:
The chord- chord angle 105° is half the sum of the arcs intercepted by the angle and its vertical angle, thus
[tex]\frac{1}{2}[/tex](120 + x) = 105 ( multiply both sides by 2 )
120 + x = 210 ( subtract 120 from both sides )
x = 90 → D
help me!!!! solve 4t+6=24
Answer:
We move all terms to the left:
4t+6-(-24)=0
We add all the numbers together, and all the variables
4t+30=0
We move all terms containing t to the left, all other terms to the right
4t=-30
t=-30/4
t=4.5
Brainiest?
Answer:
[tex]\boxed{t=\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]4t+6=24[/tex]
Subtract 6 on both sides.
[tex]4t+6-6=24-6[/tex]
[tex]4t=18[/tex]
Divide 4 on both sides.
[tex]\displaystyle \frac{4t}{4} =\frac{18}{4}[/tex]
[tex]\displaystyle t=\frac{9}{2}[/tex]
Evaluate 7m + 2n - 8p/n for m = –4, n = 2, and p = 1.5.
Answer:
-30
Step-by-step explanation:
7m + 2n - 8p/n
Let m = –4, n = 2, and p = 1.5
7(-4) + 2 ( 2) -8*(1.5)/2
-28 + 4 - 4*1.5
-28+ 4 - 6
-30
Answer:
-30
Step-by-step explanation:
Hey there!
Well given,
m = -4
n = 2
p = 1.5
We need to plug those number into,
7m + 2n - 8p/n
7(-4) + 2(2) - 8(1.5)/(2)
-28 + 4 - 12/2
-28 + 4 - 6
-24 - 6
-30
Hope this helps :)
Please answer this fast in two minutes now
Answer:
18.3Step-by-step explanation:
from cosines theorem:
t² = 11² + 14² - 2•11•14•cos87°
t² = 121 + 196 + 308•0.05236
t² = 333.12688
t = √333.12688
t = 18.2517... ≈ 18.3
given that sin x equals to a over b then what is tan x
Answer:
Hey there!
Sine is equal to opposite/hypotenuse
Tangent is equal to opposite/adjacent
opposite=a
hypotenuse=b
adjacent=c
Thus, tangent x= a/c.
Hope this helps :)
Answer:
tan x = a/sqrt(b^2 - a^2)
Step-by-step explanation:
sin x = a/b = opp/hyp
tan x = opp/adj
adj^2 + opp^2 = hyp^2
adj^2 + a^2 = b^2
adj = sqrt(b^2 - a^2)
tan x = a/sqrt(b^2 - a^2)
An investment counselor calls with a hot stock tip. He believes that if the economy remain strong the investment rules will result In a profit of $30,000. If the economy grows at a moderate pace the investment will result in a profit of $10,000 however if the economy goes into recession the investment will result in a loss of $30,000. You contact and economics who believes there is a 20% probability the economy will remain strong a 70% probability the economy will grow at a moderate pace in a 10% probability the economy will slip into recession. What is the expected profit from this investment?
Answer: $10,000
Step-by-step explanation:
Given the following :
Profit if economy remains strong = $30,000
Profit if economy grows at moderate pace = $10, 000
Loss if economy goes into recession = $30,000
Probability that economy will remain strong = 20% = 0.2
probability the economy will grow at a moderate pace = 70% = 0.7
probability the economy will slip into recession = 10% = 0.1
Expected value = sum of (x * p(x))
Here expected value equals;
Strong economy profit = $30,000 * 0.2 = $6000
Moderate economy profit = $10,000 * 0.7 = $7000
Loss on Recession = $30,000 * 0.1 = $3000
Expected profit = $(6000 + 7000 - 3000)
Expected profit = $10,000
The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe what each error would represent in terms of reality and conclusion.
Answer:
Null hypothesis: Policy B remains more effective than policy A.
Alternate hypothesis: Policy A is more effective than policy B.
Step-by-step explanation:
Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.
We have two types of hypothesis errors:
1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.
That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.
2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.
Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
3) In a paddling pool there are 30 floating ducks. Each duck is marked with a number on the underside. 15 are marked with the number 1, 9 are marked with the number 2 and 6 are marked with number 3. There are prizes for those who pick a duck with the number 3 on it. What is the probability of Molly picking a duck with the number 3 on it? Give your answer as a fraction in its lowest terms.
Answer: 1/5
Step-by-step explanation:
Given the following :
Total number of ducks in pool = 30
Mark 1 = 15 ducks
Mark 2 = 9 ducks
Mark 3 = 6 ducks
Probability of picking a duck with Mark 3:
Probability = (number of required outcomes / total possible outcomes)
Number of required outcomes = number of ducks with mark 3 = 6 ducks
P(picking a duck with Mark 3) = 6/30
6/30 = 1/5
= 1/5
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle is shown. 2 rays form an angle of 45 degrees. The length of the rays is 8 inches. Arc s contains the angle measuring 45 degrees.
The length of the arc s is 6.283 inches.
Length of an ArcThe length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
where
θ is the angle, which arc creates at the center of the circle in degrees.
Given to us,Radius, r = 8 in.
Angle, θ = 45°,
Length of the Arc[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.[/tex]
Hence, the length of the arc s is 6.283 inches.
Learn more about Length of an Arc:
https://brainly.com/question/1577784
The approximate length of arc s on the given circle is; 6.28inches
Length of an arc.The length of an arc is given by the formula;
L = (a/360) ×2πr.where, a = angle subtended by the arcr = radius of the circle.Therefore,
Length, L = (45/360) × 2 × 3.14 × 8
L = 50.24/8L = 6.28 inchesRead more on length of an arc;
https://brainly.com/question/2005046
74 divided by 3 times 7 equals what?
Answer:
518 / 3.
Step-by-step explanation:
(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.
Hope this helps!
What the answer now fast correct
Answer:
12.6 units.
Step-by-step explanation:
According to cosine formula:
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in triangle STU, we get
[tex](SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T[/tex]
[tex]t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})[/tex]
[tex]t^2=25+225-150(0.60)[/tex]
[tex]t^2=160[/tex]
Taking square root on both sides.
[tex]t=\sqrt{160}[/tex]
[tex]t\approx 12.6[/tex]
Therefore, the value of t is 12.6 units.
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrobats did I see in the show?
Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
Find the angle measures given the figure is a rhombus.
Answer:
1 = 90°, 2 = 66°
Step-by-step explanation:
Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.
14. 2057 Q.No. 1(a) Sum to infinity:
1 + 3x + 5x2 + 7x3 +... (-1<x<1).
The sum appears to be
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]
I'll assume you want to find out what function this sum converges to.
Let
[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
with -1 < x < 1. Differentiating gives
[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]
So we have
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]