Answers
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division
Related Questions
In ARST, m R = 92° and mZS = 71°. Which list has the sides of ARST in order from
shortest to longest?
RS, ST, TR
RS, TR, ST
O ST; RS, TR
OTR, RS, ST
O TR, ST, RS
OST, TR, RS
Submit Answer
Answers
Answer:which grade are you
Step-by-step explanation:
If you are grade 7 to 9 I know
Given the similar figures below, find the value of x. For your answer, ONLY TYPE IN THE NUMBER. show work
Answers
Answer:
[tex] x = 17.5 [/tex]
Step-by-step explanation:
Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:
[tex] \frac{28}{16} = \frac{x}{10} [/tex]
Cross multiply
[tex] x*16 = 10*28 [/tex]
[tex] 16x = 280 [/tex]
Divide both sides by 16
[tex] x = \frac{280}{16} [/tex]
[tex] x = 17.5 [/tex]
John has earned a 77, 76, and 84 on his first three projects of the semester. If he hopes to have an B quiz average (80 or above), what is the lowest score John can make on his fourth and final project?
Answers
Step-by-step explanation:
John has earned a 77, 76, and 84 on his first three projects of the semester.
He hopes to have an B quiz average (80 or above).
We need to find the lowest score John can make on his fourth and final project. Let the score is x.
Average = sum of numbers/total numbers
[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]
So, he must score 83 or more on his fourth project so as to make average 80 re above.
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made?
Answers
Answer:
The artifact was made approximately 13,306 years ago
Step-by-step explanation:
The half-life of Carbon-14 = 5730 years
The formula for radioactive decay is given by the equation:
[tex]N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years[/tex]
The amount of Carbon-14 left = 20% = 20/100 = 0.2
[tex]\therefore \frac{N}{N_0} = 20 \% = 0.2[/tex]
[tex]N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32[/tex]
t ≈ 13,306 years
Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot describe the regression of fastest serve speed (in kilometers per hour) and the height (in meters) of 21 current male professional tennis players.
a. Describe the relationship between height and fastest serve speed for these tennis players.
b. Write the equation of the least-squares regression line. Define any variables used.
c. Interpret the value "R-sq = 27.7%".
d. What is the slope of the least-squares regression line? Interpret this value.
e. Predict the fastest serve of a professional tennis player whose is 1.7 meters tall. Comment on the reliability of this prediction.
f. What is the value of the correlation between height and fastest serve speed? Interpret this value.
g. Calculate the residual for the player that is 2.06 meters tall and has a fastest serve speed of 230 km/hr. Interpret this value.
Answers
Complete question :
The computer output and scatter plot output pertaining to the question can be found in the attached picture.
Answer:
Kindly check explanation
Step-by-step explanation:
A.) Relationship between height and fastest serve speed :
According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
B.)
Equation of least square regression line :
From the computer output and scatter plot above :
Recall :
y = mx + c
y =predicted variable (s fastest serve)
m= slope
x = predictor variable (height)
c = intercept
y = 84.98x + 68.81
C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables
D.) fastest serve of tennis player with height 1.7m
y = 84.98x + 68.81
y = 84.98(1.7) + 68.81
y = 213.276km/hr
E.)
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
F.)
Height = 2.06m = x
y = 84.98(2.06) + 68.81
y = 243.8688 km/hr
Residual = Actual - predicted
Actual = 230 ; predicted = 243.8688
Residual = 230 - 243.8688
Residual = −13.8688
Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr
Please help me 15 points
Answers
Answer:
1 Solution
Step-by-step explanation:
please answer as fast as possible see the image below
Answers
Answer:
145
Step-by-step explanation:
Find the perimeter of the base
5*4=20
Find the surface area of the base
5*5=25
T.S.A.=[tex]\frac{1}{2}[/tex](20)(6)+25 = 145
Answer:
85 ft²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (5 x 5) + (1/2 x (5x4) x 6)
= 25 + 60
= 85 ft²
see image help me as fast as possible, please
Answers
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answers
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would differ from the true mean by less than 36 dollars if a sample of 193 persons is randomly selected
Answers
Answer:
The probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=21604\\\sigma=727\\n=193[/tex]
As the sample size is large, i.e. n = 193 > 30 the central limit theorem can be used to approximate the sampling distribution of sample mean per capita income.
Compute the probability that the sample mean would differ from the true mean by less than 36 dollars as follows:
[tex]P(\bar X-\mu<36)=P(\frac{\bar X-\mu}{\sigma_{\bar x}}<\frac{36}{727/\sqrt{193}})\\\\=P(Z<0.69)\\\\=0.7549[/tex]
Thus, the probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
Match the following.
1. fractions that may be expressed differently, but still have the same value
mixed
number
2. consists of an integer and a proper fraction
denominator
3. a fraction with a numerator that is larger than or equal to the denominator
proper fraction
4. the bottom part of a fraction; represents the whole
equivalent fractions
5. the top part of a fraction; represents part of the whole
improper fraction
6. a fraction with a numerator that is less than the denominator
numerator
Answers
Answers:
the answers are...
1.) equivalent fractions
2.) mixed number
3.) improper fraction
4.) denominator
5.) numerator
6.) proper fraction
look at the screenshot!!
hope this helps :)
Answer:
1. Fractions that may be expressed differently, but still have the same value
→Equivalent fractions
2. Consists of an integer and a proper fraction
→Mixed number
3. A fraction with a numerator that is larger than or equal to the denominator
→Improper fraction
4. The bottom part of a fraction; represents the whole
→Denominator
5. The top part of a fraction; represents part of the whole
→Numerator
6. A fraction with a numerator that is less than the denominator
→Proper fraction
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the probability that the next game Noah bowls, his score will be between 135 and 167, to the nearest thousandth?
Answers
Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,
[tex]z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25[/tex]
And
[tex]z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}[/tex]
We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Which diagram best shows how fraction bars can be used to evaluate ?
Answers
Step-by-step explanation:
There is no fraction bars
Evaluate the expression. (5²+17)÷7
Answers
Answer:
6
Step-by-step explanation:
5x5=25
then add 17, 25+17=42
then divide by 7, 47÷7=6
Caitlin drew a scale drawing of the community park in her town. The actual park is 48 feet long. Caitlin's scale drawing is 12 inches long. What scale did Caitlin use to draw the park? 4 inches equal 1 foot 1 inch equals 14 foot 4 inches equal 4 feet 1 inch equals 4 feet
Answers
Answer:
The answer is D
Step-by-step explanation:
I took the test and it was 1 inch equals 4 feet :)
The scale is 1 inch equals 4 feet.
what is Scale factor?When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.
Given:
Actual length if park = 48 feet
and, Scale drawing length= 12 inch
So, scale be choose be
= 48/ 12
= 4
Hence, the scale is 1 inch equals 4 feet.
Learn more about scale factor here:
https://brainly.com/question/22312172
#SPJ5
Austin correctly answered 92% of the questions on a geography quiz.Liz answered 47 of the 50 questions correctly
Answers
Answer:
Liz did
Step-by-step explanation:
because if you multiply 47 to 2, then you get 94 and that's higher than 92, not sure but i hope this works
Jill has $7.85 in dimes and quarters. She has 12 more
quarters than dimes. Write a system of equations that
could represents the situation if D represents the
number of dimes and Q the number of quarters?
Answers
she has $7.85 in quarters and dimes
quarters = 25c
dimes = 10c
she has 12 more
so, we know she has AT LEAST 12 quarters
25 x 12 = 300 = $3.00
but we also know its not possible for her to have more dimes quarters
( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )
if you don't know the answer don't write but my page and if you know that answer doing that right any random stuff
Answers
Answer:
It would be 993 with a remainder of 6
Step-by-step explanation:
993 x 7 = 6951
6957 - 6951 = 6 remainder
Hoped this helps
Answer:
993 ; Remainder: 6
Step-by-step explanation:
Calculator
3x2-2x+1
I need help on it Asap
Answers
Answer:
why have so many tabs lol
Step-by-step explanation:
Which expression shows 0.027 written in expanded form?
A
(2 x 10) + (7 X 1)
B.
(0 + 2 + 7) X 0.001
С
(2 x 0.1) + (7 x 0.01)
D
(2 x 0,01) + (7 % 0,001)
Answers
Answer:
D. (2 x 0,01) + (7 % 0,001)
Answer:
jhghgfg
Step-by-step explanation:
HELP PLEASE!
A local little league has a total of 80 players, of whom 20% are left-handed. How many
left-handed players are there?
Answers
Answer:
There are 16 left-handed players.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
PLEASE READ PHOTO thank u
Answers
Answer:8
Step-by-step explanation:
Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price
p.
(Round your answer to the nearest cent.)
p = 7 + 2q1⁄3; p = 20
Answers
Answer:
Step-by-step explanation:
Given the equation of the unit price expressed as;
p = 7 + 2q1⁄3, we are to find the value of q when p = 20
20 = 7 + 2q1⁄3
20-7 = 2q/3
13 = 2q/3
Cross multiply
13 * 3 = 2q
39 = 2q
q = 39/2
q = $19.5
Hence the producer surplus is 1950 cents
The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Find the y−intercept for this relationship.
Answers
its just the number under 0 of ur table
the circumference of a circle is about 53.38 cm. The radius of the circle is 8.5 cm. Which expression best represents the value of pi?
Answers
Answer:
Step-by-step explanation:
Circumference of a circle is expressed as;
C = 2πr
r is the radius of the circle
Given
C = 53.38cm
radius r = 8.5cm
Substitute into the formula to get π
From the formula;
π = C/2r
π = 53.38/2(8.5)
π = 53.38/17
π = 3.14cm
The value of pi is 3.14 cm
Answer:
It's C
Step-by-step explanation:
Pi times 2444.57 divided by 344.5=?
Answers
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)
A city in Virginia averages 12 inches von
each year in 2016, the amount or
was 140996 the average, How many ches
of rain fall that years
A.52.4
B.56.2
C.58.8
D.54.8
Answers
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed from the tank so that it has 2/5 of the water that it started with? The technician must remove _____ more gallons of water for the tank to have 2/5 of the water that it started with.
Answers
Answer:
the answer is seven:7
Step-by-step explanation:
i got it right
Answer:
7
Step-by-step explanation:
I took the test before
HELP ME OUT FAST (I will make brainlist to whoever that show explaination.)
Answers
Answer:
2 3/4 Gallons
Step-by-step explanation:
4 1/2-1 3/4= 2 3/4
Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4
System of linear equations:
X+ Y= 2000
10x + 20y = 35000
Can someone explain in words how they would solve this?
Answers
Answer:
x= 500 y= 1500
Step-by-step explanation:
Isolate x or y in the first equation
Isolating for x would be x= -y+2000
Substitute X=-y+2000 into equation 10x+20y=35000
10(-y+2000)+20y=35000
Exapnd the equation above and you should get y=1500
Same steps for finding x by isloating for y