Since given total fruits are 20
So lets name fruit by its first letter,
according to question,
5A, 2P, 3B, and x grapes(say)
\(\begin{gathered} 5+2+3+x=20 \\ 10+x=20 \\ x=10 \end{gathered}\)Hence, she had 10 grapes.
Answer:
10 fruits
Step-by-step explanation:
what is the maximum electric field strength (in kv/m) in an electromagnetic wave that has a maximum magnetic field strength of 4.80 ✕ 10−4 t (about 10 times the earth's)?
The maximum electric field strength in the electromagnetic wave is found as 144 kV/m.
To determine the maximum electric field strength (in kV/m) of an electromagnetic wave, you can use the following relation between electric field strength (E) and magnetic field strength (B):
E = c * B
where E is the electric field strength, B is the magnetic field strength, and c is the speed of light in a vacuum, which is approximately 3.00 x 10^8 m/s.
Given a maximum magnetic field strength of 4.80 x 10^-4 T, you can find the maximum electric field strength by plugging in the values:
E = (3.00 x 10^8 m/s) * (4.80 x 10^-4 T)
E ≈ 1.44 x 10^5 V/m
To convert this value to kV/m, divide by 1000:
E ≈ 144 kV/m
So, the maximum electric field strength in the electromagnetic wave is approximately 144 kV/m.
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Find the missing length.
Answer:
The missing length is 45
Step-by-step explanation:
CD || AB
\(\mathrm{\cfrac{EC}{AC} =\cfrac{ED}{BD} }\)
\(\mathrm{\cfrac{20}{8} =\cfrac{?}{18} }\)
\(\mathrm{\cfrac{?}{18}=\cfrac{20}{8}}\)
Cancel the common factor, which is 4:-
\(\mathrm{\cfrac{?}{18}=\cfrac{5}{2}}\)
Multiply both sides by 18:-
\(\mathrm{?=45^o}\)
Therefore, the missing length is 45.
________________________
Hope this helps!
3
Line m has a slope of
4
Line n is parallel to line m. What is the slope of line n?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: 4
Step-by-step explanation:
If you have parallel lines then the slopes are equal.
We know that slope for line m is 4.
So slope for line "n" is also 4
Leah has 20 kittens. She wants to send them to
foster homes in groups of 5. How many homes
does she need for the kittens? *
Answer:
4
Step-by-step explanation:
Can i have brainliest?
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 of a liter of paint. How many statues can she paint?
Answer:
She can paint 17 statues
Step-by-step explanation:
Sorry I don’t really know how to show my work
Answer:
140/8
simplified: 35/2
decimal: 17.5
Step-by-step explanation:
honestly, I don't know how to show my work but I hope this helps.
A sequence is defined by the rule a= -3(2) n-1 . What is the 5th term of the sequence
g(x) = 3x + 1
f(x) = 2x - 5
Find g (f (x))
Answer:
g(f(x)) = 6x - 14
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function CompositionStep-by-step explanation:
Step 1: Define
g(x) = 3x + 1
f(x) = 2x - 5
Step 2: Find
Substitute: g(f(x)) = 3(2x - 5) + 1Distribute 3: g(f(x)) = 6x - 15 + 1Combine like terms: g(f(x)) = 6x - 14PLSSS HELP Which triangles are similar to triangle A?
Answer:
ΔB
Step-by-step explanation:
ΔA's angles are: 58º, 54º, and 68º
68º is found by 180 - (58 + 54)
ΔB's angles are: 54º, 68º, and 58º
58º is found by 180 - (68 + 54)
ΔA and ΔB have the same angles, therefore they are similar triangles
Answer:
triangle b
Step-by-step explanation:
i measured
Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?
Answer:
Check Explanation
Step-by-step explanation:
The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.
Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.
These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.
Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.
The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.
Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.
In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.
Hope this Helps!!!
a tree is cut down to the ground the trunk of the tree is cut into equal sections which geometric shape can be used to model the volume of the cut tree
Cylindrical shape.
To model the volume of the cut tree, the appropriate geometric shape is a cylinder.
This is because a cylinder's volume is equal to the product of the base's area and the height of the cylinder,
which can be determined by the length of the equal sections of the tree trunk.
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Help solve I don’t understand it!
Answer:
your answer is 80 degree .
because of angle sum propert
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follow me guys
Answer:
Angle ACE=80º
Step-by-step explanation:
Since the angles ACD and ACE are supplementary (meaning they form a straight line or 180º when added up) we know that the sum of those angles is 180º.
If ACD + ACE = 180 and ACD =100
then, 100 + ACE =180 and by subtracting we find that ∠ACE=80º.
Justin jogged for four days in a row. He jogged 2 miles the first day. On the second day, he jogged 75% of the distance he jogged the first day. On the third day, he jogged 1.5 miles more than the distance he jogged the first day. If Justin jogged a total distance of 9.25 miles, how many miles did he jog on the fourth day?
Answer:
2.75 miles jogged on the fourth day
Step-by-step explanation:
Justin jogged 2 miles on the first day.
On the second day he jogged 75% of 2 miles. To find 75% of 2 miles we need to divide by 100 and multiply by 75.
2 / 100 = 0.02 x 75 = 1.5 miles jogged on the second day. (3.5 miles jogged in total so far)
On the third day he jogged 1.5 miles more than the last day:
1.5 + 1.5 = 3 (6.5 miles jogged so far)
9.25 total miles were jogged, meaning that we will need to subtract 6.5 from 9.25 to get the answer:
9.25 - 6.5 = 2.75 miles jogged on the fourth day
Pea aphids, Acyrthosiphon pisum, are small, wingless, sapsucking insects that live on plants. They evade predators (such as ladybugs) by dropping off. A study examined the mechanism of aphid drops. Researchers placed aphids on a leaf positioned at four different heights (in centimeters, cm) above a surface covered with petroleum jelly. When a ladybug was introduced, the aphids dropped, and the petroleum jelly helped capture their landing posture (upright or not). Each aphid performed this experiment only once. The findings are given in the table. Dropping Hcight Landing Posture3 cm 5 cm10 cm20cm Upright Not upright Sample size 20 23 10 30 30 27 29 30 30 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! The null hypothesis "no relationship" says that in the population of aphids, the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm. The two-way table contains expected cell counts if this hypothesis is true Landing Posture 3 cm5 cm10 cm 20 cm Total 24.75 24.75 24.75 24.75 99 Not upright 5.255.255.255.255.25 30 30 30 30 30 Upright Total (a) Use the tables to calculate the value of the chi-square statistic. (Enter your answer rounded to three decimal places.) 223.359 Question Source Baldi4e- The Practice Of Statistics In The Life Sciences Publisher: W.H. Freeman
The value of chi-square statistic (\(X^{2}\)) is 11.26
As per the given question
the sample space of all the four cases are 30
the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.
the formula of chi-squared test is
\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)
where
\(X^{2}\) is chi-square
\(O_i\) is the observed value
\(E_i\) is the expected value
the upright observed value are 20,23,27,29
the upright expected values are 24.75
now
the chi-square at 3cm height is
\(X^2=\(\frac{(20-24.75)^2}{24.75}\)
=> \(X^2=0.91\)
the chi- square at 5cm height is
\(X^2=\(\frac{(23-24.75)^2}{24.75}\)
=> \(X^2=0.12\)
the value of chi-square at 10cm is
\(X^2=\(\frac{(27-24.75)^2}{24.75}\)
=>\(X^2=0.20\)
the value of chi-square at 20cm is
\(X^2=\(\frac{(29-24.75)^2}{24.75}\)
=> \(X^2=1.97\)
the not upright observed values are
10,7,3,1
the not upright expected values are 5.25
the chi-square test at 3cm height is
\(X^2=\(\frac{(10-5.25)^2}{5.25}\)
=> \(X^2=4.30\)
the chi-square test at 5cm height is
\(X^2=\(\frac{(7-5.25)^2}{5.25}\)
=> \(X^2=0.58\)
the chi-square test at 10cm height is
\(X^2=\(\frac{(3-5.25)^2}{5.25}\)
=> \(X^2=0.96\)
the chi-square test at 20 cm is
\(X^2=\(\frac{(1-5.25)^2}{5.25}\)
=> \(X^2=3.44\)
now,
the total
chi-square value at 3cm height is
=>X^2=0.91+4.30
=> \(X^{2}\)= 5.21
chi-square at 5cm height is
=> \(X^{2}=0.12+0.58\)
=> \(X^2=0.71\)
chi-square at 10cm is
=> \(X^{2}=0.20+096\)
=> \(X^2=1.16\)
chi-square at 20 cm is
=> \(X^{2}=0.73+3.44\)
=> \(X^{2}=4.17\)
now ,
the total chi-square statistic is
=>\(X^{2}=\)5.21+0.71+1.17+4.17
=>\(X^{2}=\) 11.26
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136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain.
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31
The quarterly payment will be $1,127.86
What is compound interest?
Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.
The amortization formula is ...
\(A=\dfrac{P\timesr}{(1-(1+r)^{-n}}\)
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have
P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
\(A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}\)
\(A=$1127.86\)
Hence the quarterly payment amount is $1,127.86.
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evaluate the integral ∫30∫3ysin(x2) dxdy by reversing the order of integration.
By reversing the order of integration, the given integral ∫30∫3ysin\((x^2)\) dxdy becomes ∫\(03∫0√(30y) sin(x^2) dydx.\)
How can the given integral be rearranged?When reversing the order of integration, we first consider the limits of integration for the new integral.
The original limits for y are from 0 to 3, and the limits for x are from 0 to √(30y). Therefore, the new limits for y are from 0 to 3, and the new limits for x are from 0 to √(30y).
Next, we rearrange the integral to integrate with respect to y first. We integrate sin(\(x^2)\)with respect to x while treating y as a constant. The antiderivative of sin\((x^2)\)does not have a closed-form expression, so we leave it as is.
Finally, we integrate the result from the first integration with respect to y, using the limits 0 to 3. This will give us the final value of the integral.
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Hint(s) Check My Work A Pew Research study conducted in 2017 found that approximately 75% Americans believe that robots and computers might one day do many of the jobs currently done by people (Pew Re
There is reason for concern about the impact of automation on the job market, it is important to consider the potential benefits and opportunities that may arise from these changes.
The future of work will be shaped by a variety of factors, and it is up to individuals, businesses, and policymakers to navigate this changing landscape in a way that benefits everyone.
A Pew Research study conducted in 2017 found that about 75% of Americans believe that robots and computers may take over many of the jobs that people currently do. People are becoming increasingly aware of the potential for automation to impact their jobs and industries. This has sparked debate about the role of automation in the economy, and whether or not it will lead to job displacement.
However, it is important to note that not all jobs are equally at risk of automation, and many new jobs may be created as a result of technological advancements.
In conclusion, while there is reason for concern about the impact of automation on the job market, it is important to consider the potential benefits and opportunities that may arise from these changes.
The future of work will be shaped by a variety of factors, and it is up to individuals, businesses, and policymakers to navigate this changing landscape in a way that benefits everyone.
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The Gross revenue is $495,958.02. AR is 14% of the Gross RevenueWhat amount is tied up in AR?
The amount tied up in AR is $69434.12
Explanation:The Gross Revenue, GR = $495,958.02
From the question:
The Annual Revenue, AR = 14% of GR
AR = (14/100) x $495,958.02
AR = 0.14 x $495,958.02
AR = $69434.12
The amount tied up in AR is $69434.12
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 20 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 6 and width of 2 write an equation to determine the area, a, of the patio that will be painted. a = (x 20)(x 10) 12 a = (x 20)(x 10) − 12 a = (x 26)(x 12) a = (x 14)(x 8)
The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.
What is a Rectangle?A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).
What is the Area of a Rectangle?The area of a rectangle = (length of rectangle)(width of rectangle).
Given the following parameters for the patio and the bench:
Length of rectangular patio = x + 20Width of rectangular patio = x + 10Length of rectangular bench = 6Width of rectangular bench = 2Area to be painted = area of rectangular patio - area of rectangular bench
Area of rectangular patio = (x + 20)(x + 10)
Area of rectangular bench = (6)(2) = 12
Area to be painted = (x + 20)(x + 10) - 12
The answer is: B. A = (x + 20)(x + 10) - 12.
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The values of m for which y = e^mx is a solution of y" - 4y' - 5y = 0
A.2 and 3 B.-2 and -3 C.-1 and 4 D.-1 and 5 E.1 and 4
The values of m for which\(y = e^mx\) is a solution of \(y" - 4y' - 5y = 0\) are m = -1 and 4.
The equation y" - 4y' - 5y = 0 is a second order linear homogeneous differential equation with constant coefficients. The solution of this equation is given by the general form of the solution as \(y = e^mx\), where m is the root of the characteristic equation m2 - 4m - 5 = 0, which can be solved by the quadratic formula as m = 2 and 3 or m = -2 and -3.
To solve this equation, we expand the quadratic equation as,
m2 - 4m - 5 = 0
m2 - 5m + m - 5 = 0
(m - 5)(m + 1) = 0
Therefore, the two roots of this equation are m = 5 and -1.
Now, we plug in these two roots in the solution of the differential equation, \(y = e^mx\).
For m = 5,
\(y = e^(5x)\)
For m = -1,
\(y = e^(-x)\)
Therefore, the values of m for which \(y = e^mx\) is a solution of y" - 4y' - 5y = 0 are m = -1 and 4.
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The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
The class that lost the fewer pencils overall is Mr. Johnson's class. It had a median of 11.
Which class lost fewer pencils?A box plot is a graph used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The two lines are known as whiskers.
The whiskers represent the minimum and maximum values. In order to determine the class that lost fewer pencils, find the range of the data and the median. The class that has the smaller number lost fewer pencils.
The range is the difference between the highest and smallest number. Range of Mr. Johnson's class = 45 - 7 = 38
Range of Mrs Cheng's class = 50 - 5 = 45
Median is the number at the center of a dataset. The line in the middle of the box in the box plot represents the median.
The median of Mr. Johnson's class = 11
Median of Mrs. Cheng's class = 16
To determine the median, the initial step involves arranging the dataset in ascending order. When the number of data points is odd, the median can be determined by identifying the midpoint.
Given the data values, the median is calculated and it can be seen that the class that lost the fewer pencils overall is Mr. Johnson's class. It had a median of 11.
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determine the probability that neither card shows an even number, with replacement.
To determine the probability that neither card shows an even number with replacement, we need to calculate the probability of drawing an odd number on each card and multiply the probabilities together.
Let's assume we have a standard deck of 52 playing cards, where half of them are even numbers (2, 4, 6, 8, 10) and the other half are odd numbers (1, 3, 5, 7, 9).
Since the cards are replaced after each draw, the probability of drawing an odd number on each card is 1/2. Therefore, the probability that neither card shows an even number is:
P(neither card shows an even number) = P(odd on card 1) * P(odd on card 2) = 1/2 * 1/2 = 1/4
So, the probability that neither card shows an even number, with replacement, is 1/4.
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If it costs $0.15 per square inch for the cardboard label, then what is the cost for plan B?
Answer:
a box of plan B cost roughly $50.00
it is pretty expensive but you don't need an I.D.
Step-by-step explanation:
Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.
A dozen eggs cost 1.50$. How much will 18 eggs cost at the same rate?
Answer:
$2.25
Step-by-step explanation:
A dozen = 12 eggs = $1.50
1 egg = 1.5 / 12 = 0.125
18 eggs = 0.125 * 18
= $2.25 = 1 1/2 dozen
consider the figure below
given
m || n
m∠2=3x+53
m∠7=7x-55
what is m∠8?
Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
Suppose that the scores of golfers on the PGA tour have a mean of 67.15 and a standard deviation of 3.084. A random sample of 30 is taken from the population. What is the distribution of the sample mean
The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)
The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.
Therefore, for this problem, the distribution of the sample mean can be represented as:
X ~ N(67.15, 3.084/√30)
where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.
This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.
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If y varies directly with x and y=-16 when x=8, find y when x=2
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4) a. –4x2 – 2x + 4 b. –4x2 – 11x + 13 c. 2x2 + 20x + 4 d. 2x2 + 11x 5
Answer:
B
Step-by-step explanation:
What is the surface area of this figure?
5 m
5 m
10 m
3 m
O 520 m2
272 m2
O 400 m
O 352 m
Answer: it’s 400
Step-by-step explanation: