Answer:18
Step-by-step explanation:
In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump?
The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month
The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg
Who is more likely to select an egg classified as large?The given parameters are:
Jen's Hen Farm
Mean, μ = 2.11Standard deviation, σ = 0.08Rick's Chick Farm
Mean, μ = 2.15Standard deviation, σ = 0.07The range of the egg distribution in both samples is calculated using μ ± σ
For Jen, we have:
μ ± σ = 2.11 ± 0.08
Expand
μ ± σ = (2.11 - 0.08, 2.11 + 0.08)
This gives
μ ± σ = (2.03, 2.19)
For Rick, we have:
μ ± σ = 2.15 ± 0.07
Expand
μ ± σ = (2.15 - 0.07, 2.15 + 0.07)
This gives
μ ± σ = (2.08, 2.22)
So, we have:
Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16
Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14
Eggs classified as large have the weight 2.0 < m ≤ 2.25
0.16 is greater than 0.14.
Hence, Jen's egg is more likely to be classified as large egg
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What is the length of the hypotenuse?
14 units
By find the missing angle to be 60. Use Cos = a/h
Cos60 = 7/h
x h, then ÷ by cos60
h = 7/cos60
h = 14
Hypotenuse is the longest length
Soh Cah toa
So, the last length must be 7 root 3 (12.12 to 2d.p)
(root means square root)
Hope this helps!
Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12
well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]
so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]
The function g(x) = 10x2 – 100x 213 written in vertex form is g(x) = 10(x – 5)2 – 37. which statements are true about g(x)? select three options. the axis of symmetry is the line x = –5. the vertex of the graph is (5, –37). the parabola has a minimum. the parabola opens up. the value of a, when the equation is written in vertex form, is negative.
The vertex of the function of g(x) is (5, -37).
What is the vertex form of the parabola?The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.
The vertex form of the parabola is given by;
[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]
On comparison with the standard equation of parabola the vertex of the parabola are;
h = 5 and K = -37
Hence, the vertex of the function of g(x) is (5, -37).
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Answer:
---> The vertex of the graph is (5, –37).
---> The parabola has a minimum.
---> The parabola opens up.
Step-by-step explanation:
IT'S CORRECT ON PRE-TEST / ON TEST
simplify the solution: 9/4x-5/x+11/3=0
Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
Exact Form:
x
=
−
22
−
2
√
526
27
,
−
22
+
2
√
526
27
Decimal Form:
x
=
0.88405110
…
,
−
2.51368073
…
Step-by-step explanation:
Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A
The inequalities have no solution since their graph does not intersect or overlap.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Hence, The inequalities have no solution since their graph does not intersect or overlap.
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Answer:
B. There is no solution.
Step-by-step explanation:
And katie stop deleting my answers
U
S
V
Y
4x0
T
W
60°
.
Z
X
Find m2 svw.
mZSVW =
Answer:
Answer is 72°. Hope it helps.....
Auto insurance options offered by aa auto insurance are outlined in the table below. what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury: $25/50,000 property damage: $25,000 collision: $250 deductible comprehensive: $100 deductible aa auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/$50,000 $22.50 $50/100,000 $31.75 $100/300,000 $40.25 property damage $25,000 $120.50 $50,000 $144.75 $100,000 $193.00 collision $100 deductible $520.00 $250 deductible $415.25 $500 deductible $275.75 comprehensive $50 deductible $110.25 $100 deductible $100.00 a. $43.23 b. $46.10 c. $54.85 d. $64.44
Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.
What is insurance?
insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.
A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.
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Answer:
A
Step-by-step explanation:
The bill is $100.99. You want to leave a 20% tip. How much should the tip be?
Answer:
$20.20
Step-by-step explanation:
First Convert 20% into a decimal, by dividing it by 100
Percent = out of 100
20/100 = 0.2
Now, multiply the decimal (0.2) with the bill amount ($100.99):
0.2*100.99
$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)
$20.20 <== how much tip you want to leave
How much you pay altogether:
(Bill + tip)
100.99 + 20.20
$121.19
Hope this helps!
please help me i don’t know how to do this my teacher didn’t explain it well
Answer:
see below
Step-by-step explanation:
It's sort of hard to draw a rectangle digitally but the area of it would be15 x (12+2) = 210 square feet
For the top left rectangle 3 x 4 feet = 12 square feetFor the top right corner triangle area of a triangle is half the base multiplied by the perpendicular height so 2(2/2)=2 square feetHere are my workings for the area of the shaded region 210-(8x4)-12-2=164 square feetIf the cost per square foot is $5.40 then 5.4 x 164 = $885.60 for the whole kitchenSimplify (- 20 - 3i) - (- 22 - 1i)
A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.
Simplifying the given expression:⇒ (- 20 - 3i) - (- 22 - 1i)
⇒ (- 20 - 3i + 22 + 1i)
⇒ (2 - 2i)
Therefore the simplification of the given expression is "(2 - 2i)"
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Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.
A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 1.125 minus t, and 20 left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 15 minus t, and 20 left-parenthesis 15 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 1.125 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 15 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 15 minus t right-parenthesis.
Answer:
right all about i think all are right
Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.
Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).
See attached for an example.
Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.
Which of these represents an individual form of life such as an animal, plant, or single-celled life form?
Organ
Organism
Organ system
Tissue
Answer:
organism
Step-by-step explanation:
all the other anwsers are what is inside a organism
Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem:
The proportion is of p = 0.26.A sample of n = 50 families is taken.Hence, the standard deviation is given by:
[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]
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An article is bought for Rs200 & sold for Rs250,what is the profit percentage.
(200/250)×100 = 80%
100 - 80 = 20%
hope it helps...!!!
Answer:
20%
Step-by-step explanation:
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
Answer:
y=-0.6x+1.8
Step-by-step explanation:
Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8
During second period, Clara completed a grammar worksheet. Of the 45 questions, Clara got 60% right. How many questions did Clara get right?
Answer:
0.6*45=27
Step-by-step explanation:
You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27
O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = [tex]\frac{opposite}{adajacent}[/tex]
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = [tex]\frac{x}{17}[/tex]
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
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2.) f(x) is transformed to create the graph of g(x). Describe the
transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units
Answer:
2nd option
Step-by-step explanation:
given f(x) then f(x± a) is a horizontal translation of f(x)
• If + a then a shift to the left of a units
• If - a then a shift to the right of a units
g(x) = | x + 7 | ← with a = + 7
then g(x) is f(x) shifted 7 units to the left
Can anyone please help me? :)
Answer:
I think it is 20 pi units.
Step-by-step explanation:
Given:
h= 5 units
Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )
So now,
Volume of cylinder= pi*(r)^2 * h
= (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )
= 4pi* 5
= 20 pi units.
Hope it helps........
Find the surface area of the prism
Answer:
216cm²
Step-by-step explanation:
SA of the rectangular prism
= 2(lb + bh + hl)
= 2(3*6 + 6*10 + 10*3)
= 2(18 + 60 + 30)
= 2(108)
= 216cm²
10. Jenn went to the farmer's market with $40. She brought a 10 lb bag of
potatoes for $6, a pie for $8,4 qt frest strawberries for $4 per qt, and 5 lb
of apples at $1. 49 per lb. What percent of the $40 did she still have when
she left? *
Answer:
Step-by-step explanation:
Find all the expenses:
potatoes: $6
pie: $8.4
strawberry: $4
apples: $1.49 * 5 => $7.45
total=> 6 + 8.4 + 4 + 7.45 = $25.85
Rule:
$40 = 100%
$25.85 = x%
=> x = ($25.85 * 100%) / $40 = 64.625%
hey double check if I added wrong, and if it is repeat the calculation,
hope it helps
Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects your credit history. there will be a late fee added to the bill. it will be harder to secure a new loan at a low rate. the bank will charge a fee for having a negative balance.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.
What is the late payment?A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.
The consequence of making a late payment on your bill is;
A-it will be harder to buy a house because it affects your credit history.
B-here will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D- The bank will charge a fee for having a negative balance
All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.
There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.
Hence option B is correct.
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B - there will be a late fee added to the bill
A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?
Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².
What is the area of a rectangle?
The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:
A = lw.
In this problem, the dimensions in inches are given as follows.
[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].Hence the area in squared inches is given by:
A = lw = 2.5 x 1.3125 = 3.28125 in².
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Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
92.86%
Step-by-step explanation:
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
help pls first correct answer gets brainleist
If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers
The larger box with all dimensions double the small box will hold 192 staplers.
We have one cubical box with a side of 6 inches.
What is a cube?A cube is a prism with a height equal to the side of the base.
One box contains 24 staplers.
If we make each side double we will get a total of 8 boxes same as the smaller box.
So, 8 boxes will contain = 8*24 =192 staplers.
Hence, the larger box with all dimensions double the small box will hold 192 staplers.
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Answer:
192 Staplers
Step-by-step explanation: