Answer:
P= 3200 cm
Step-by-step explanation:
Perimeter = 2(l+w)
In this case since the perimeter has to be in centimeters, we have to change the length of the rectangle to centimeter.
12 meter to centimer = 12 x 100 = 1200 cm
2( 1200 +400)
2 (1600)
= 3200 cm
The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
One year, many college-bound high school seniors in the U.S. took the Scholastic Aptitude Test (SAT). For the verbal portion of this test, the mean was 425 and the standard deviation was 110. Based on this information what percentage of students would be expected to score between 350 and 550
Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are respectively, given by: [tex]\mu = 425, \sigma = 110[/tex]
The proportion of students that would be expected to score between 350 and 550 is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 350, hence:
X = 550:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{550 - 425}{110}[/tex]
[tex]Z = 1.14[/tex]
[tex]Z = 1.14[/tex] has a p-value of 0.8729.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 425}{110}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a p-value of 0.2483.
0.8729 - 0.2483 = 0.6246
62.46% of students would be expected to score between 350 and 550.
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HELPPPPP ON MATHHHHH ASAPPPPPPP
Answer:
the answer is 4
Answer:
x=4
Step-by-step explanation:
7x-15+2x=4x+10-5
9x-15=4x+10-5
9x-15=4x+5
5x-15=5
5x=20
x=20÷5
x=4
Hope this helps! :)
Which statement is true about the relationship between the amount of plant food remaining and the number of days? This relationship is a function because more than one amount of plant food remains each day. O This relationship is not a function because only one amount of plant food remains each day. O This relationship is not a function because more than one amount of plant food remains each day. O This relationship is a function because only one amount of plant food remains each day.
Plant food is indeed dung or a mix of nitrates that are also given to soil to make it fruitful. Plant fertilizers are available in a variety of formats in the market, including water-soluble plant fertilizer, sustained-release crop fertilizer, and many others. Natural organic food is the best option for fertilizing.
Feeding the plants on a normal basis ensures optimum growth, the production of attractive blossoms and fruit, and the developing resistance to harsh weather and disease.As only one amount of plant-based foods remains every day, this connection is not a function. This statement is about the connection between the group of plant food left and the length of stay.Therefore, the final answer is "2nd Choice".
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x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
Which function matches the table?
A)
f(x) = x + 1
B)
f(x) = 1
o
f(x) = x2
D)
f(x) = x - 1
f(x) = x+1
as
f(0) = 0+1 = 1
f(2) = 2+1 = 3
f(3) = 3+1 = 4
and so on
Simplify the expression.
6(12-3) + 4 + (3 x 2)
Answer:
64
Step-by-step explanation:
72-18+4+6=64
Answer:
64
Step-by-step explanation:
Which statement is true about figures ABCD and A’B’C’D’?
Answer:
there is no figures could you please um take picture so we can help
What is the slope of the line y = 3?
Answer:
m = 0
Step-by-step explanation:
Using the slope intercept form. The slop is 0
Answer: m = 0
Explanation: The equation y = 3 can be thought of as y = 0x + 3.
So our line has a slope of 0 and a y-intercept of 3.
When the equation of any line reads "y = a number",
it's graph will always be a flat or horizontal line.
Whenever we have a horizontal line, the slope is always 0
. It cost Sophia $530 to make wind chimes. How many wind
chimes must she sell at $12 apiece to make a profit?
Answer:
45
Step-by-step explanation:
530 use division 12 equals ,44.166 so round up
Brainnless mathhhh help me and thanks
Answer:
I think it is B
Step-by-step explanation:
srry if it turns out to be wrong tho
Answer:
A
Step-by-step explanation:
Wording it differently however it is most likely A since there are 4 boxes of 6 and wording them like the equations to get 6 times as many as 4 since there are 6 in 4 boxes.
A water pitcher contains 2/3 gallons of water you add 5/7 gallons of water to the picture how much water to the picture contain right the answer in simplest form
In which number does the 5 represent a value 10 times the represented by the 5 in 35,187. A 117,568. B 247,351 C 325,827. D 453,362
Answer:
The answer is D
Step-by-step explanation:
Given : Number 35,187.
To find : In which number does the 5 represent a value 10 times the value represented by the 5 in number ?
Solution :
According to place value system,
Ten Thousand Thousand Hundred Tens Ones
3 5 1 8 7
The 5 value is at thousand.
A value 10 times the value represented by the 5 in 35,187 is given by any number placed in ten thousand place.
Therefore, The answer is D
Answer:
"B"
Step-by-step explanation:
The "5" Starts at the place of the "1" and
moves up by one because the "0" in the 10 to make
"B"'s Answer.
Let me know if you elaboration!
Jo’s rectangular dining room is 8 feet wide and 3 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORK
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
Which of the following is an equation of the line tangent to the graph of x^2 - 3xy = 10 at the point (1, -3)?
Answer:
Step-by-step explanation:
slope = m = y'
x² - 3xy = 10
2x - 3y - 3xy' = 0
at (1, -3)
2(1) - 3(-3) - 3(1)y' = 0
2 + 9 = 3y'
y' = 11/3
equation of tangent:
y = -3 + (11/3) (x - 1) = 11x/3 - 20/3
11x - 3x + 96 = 11x + 48
Answer:
x=16
Step-by-step explanation:
miles wants some new games for his phone. each game costs 2.99 how much would it cost if he bought 7 new games
Answer:
$20.93
Step-by-step explanation:
2.99 x 7= 20.93
What number is 175% of 56
Answer:
Your correct answer is 32.
Step-by-step explanation:
175 percent (calculated percentage %) of what number equals 56?
Answer: 32
A number 98 is 175 percent of 56.
We have to given that,
To find a number which is 175% of 56.
Let us assume that,
A number which is 175% of 56 is, x
Hence, We can write as,
x = 175% of 56
x = 175/100 × 56
x = 1.75 × 56
x = 98
Therefore, The solution is, 98
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Find a polynomial function of degree 3 with real coefficients that has the given zeros.
- 2, 3, -4
Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k
However, polynomials can also be written in intercept form
f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn
With the three numbers that you have -2, 3, -4 you can write function
f(x)=(x-(-2))(x-3)(x-(-4))
Then you can simplify and distribute
f(x)=(x+2)(x-3)(x+4)
f(x)=(x^2-x-6)(x+4)
f(x)=x^3+3x^2-10x-24
Which would be the answer
h(a) = a² + 1
g(a) = 2a + 4
Find h(g(8))
[tex]g(a) = 2a + 4[/tex]
[tex]g(8) = 2(8) + 4 = 20[/tex]
_________________________________
[tex]h(a) = {a}^{2} + 1 [/tex]
[tex]h(g(8)) = h(20) = {20}^{2} + 1 = 401 \\ [/tex]
Done...♥️♥️♥️♥️♥️
Identify The slope and y-intercept Of the equation Y= -8
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}}\implies \cfrac{-8+8}{5+1}\implies \cfrac{0}{6}\implies 0[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{0}(x-\stackrel{x_1}{(-1)}) \implies y+8=0(x+1) \\\\\\ y+8=0x+0\implies y=\stackrel{m}{0} x\underset{b}{-8}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
A company has two machines MI and M2. MI produces 60% of its product and M2 produces 40% of its product. M1 produces 5% defective units and M2 produces 4% defective units. A unit is selected at random from the whole product. A) Find the probability that it is defective. B) What is the probability that it was manufactured by machine M2
Step-by-step explanation:
Consider the problem
Let, E 1 and E 2
be the respective events of items produced by machine A and B.
And let x be the event that the produced item was found to be defective.
Therefore,
Probability of items produced by machine A,P (E 1)=60%= 53
Probability of items produced by machine B,P (E 2)=40%= 52
And,
Probability that machine A produced defective items, P( E 1 x)=2%= 1002
Probability that machine B produced defective items, P( E 2 x)=1%= 1001
So, the probability that randomly selected items was from machine A is given by P( x E 1)
Now, Apply Bayes' Theorem
P( x E 1)= P(E 1)P( E 1x )+P(E 2)P( E 2x)P(E 1)P( E 1x)= 52× 1001 + 5
3× 1002
53× 100
2= 2+5
6= 11
6
Hence, the required probability of machine A is
11
6
The required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now given that,
Product produced by machine M1 = 60%
⇒ P(M1) = 60% = 0.6
Defective units = 5%
⇒ P(D1) = 5% = 0.05
Product produced by machine M2 = 40%
⇒ P(M2) = 40% = 0.4
Defective units = 4%
⇒ P(D2) = 4% = 0.04
Now, a unit is selected at random from the whole product
So, probability that it is defective is given as,
P(D) = P(D|M1) * P(D1) + P(D|M2) * P(D2)
⇒ P(M1|M2) = (0.6 X 0.05) + (0.4 X 0.04)
⇒ P(M1|M2) = 0.03 + 0.016
⇒ P(M1|M2) = 0.046
And probability that it was produced on the first machine(M2).
P(M2|D1) = P(M2∩D1) / P(D1)
⇒ P(M2|D) = (0.4 X 0.04)/0.04
⇒ P(M2|D) = 0.016 / 0.04
⇒ P(M2|D) = 0.4
Thus, the required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
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) If the warranty guarantees the dishwasher will last at least 14 years or your money back, what is the probability that the company will have to refund money to a customer
Using the normal distribution, it is found that there is a 0.6406 = 64.06% probability that the company will have to refund money to a customer.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation are, respectively, given by [tex]\mu = 13[/tex] and [tex]\sigma = 2.75[/tex].
The probability it lasts less than 14 years is the p-value of Z when X = 14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 13}{2.75}[/tex]
[tex]Z = 0.36[/tex]
[tex]Z = 0.36[/tex] has a p-value of 0.6406.
0.6406 = 64.06% probability that the company will have to refund money to a customer.
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I just need help with #1
Answer:
65 degrees
Step-by-step explanation:
Since the two straight lines are parallel, this means that Angle 1 and the 65 degrees angle are alternate interior angles; meaning that they're congruent.
So:
Angle 1 = 65 degrees
Hope this helps!
Please let me know if I'm incorrect :)
Answer:
The answer is 65 (degree symbol here)
Step-by-step explanation:
two interior angles on the inside of this shape will always be the same
Menso is an organisation for people with high Intelligence Quotients (IQs). Menso is investigating the average IQ of primary school students to determine whether its entry requirements should be altered for younger people. A sample of 55 primary school students have been randomly selected from schools throughout the country. The sample mean IQ of those students was calculated as 92. It is known that the population standard deviation of the IQs of all people is 10. It is assumed that this standard deviation will also apply specifically to the IQs of the primary school students. Calculate the upper and lower bounds of the 95% confidence interval for the mean IQ of primary school students. Give your answers to 2 decimal places
Answer: upper bound = 89.36 and lower bound = 94.64
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where [tex]\overline{x}[/tex] = sample mean , n= sample size , z* = two-tailed critical value, [tex]\sigma[/tex]= population standard deviation
As per given , we have
[tex]\overline{x}[/tex] = 92
n = 55
[tex]\sigma[/tex]= 10
Critical value for 95% confidence interval = 1.96
Required confidence interval : [tex]92\pm (1.96)\dfrac{10}{\sqrt{55}}[/tex]
[tex]92\pm (1.96)(1.3484)\approx92\pm2.64\\\\= (92-2.64,\ 92+2.64)\\\\=(89.36,\ 94.64)[/tex]
Hence, for 95% confidence interval for the mean IQ of primary school students:
upper bound = 89.36 and lower bound = 94.64
Without multiplying, order the following products from least to greatest.
2x3/5. 1/4x 3/5. 1 2/5x 3/5. 6/6x 3/5.
Please help, Thank you.
Answer:
6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5
Hope this helps
Step-by-step explanation:
Find the unit rate, please.
7 errors in 60 minutes.
Answer:
1 error / about 8 minutes and 30 seconds
Step-by-step explanation:
1/8.5 Divide the fraction by 7.
By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.
Exact answer: 1/8.571428 repeated
Rounded answer: 1/8.56
List all of the different natural numbers that each leave a remainder of 2 when divided into 83
Answer:
1, 3, 9, 27, 81
Step-by-step explanation:
A remainder of 2 indicated that the multiplication of any factors will be two less than 83.
Step 1: 83-2=81
Step 2: Find all factors of 81
1, 3, 9, 27, 81
All the different natural numbers are;
⇒ 3, 6, 9, 81
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
All the different natural numbers that each leave a remainder of 2 when divided into 83.
Since, The remainder is 2
So, The value of number = 83 - 2
= 81
Now, All the factors of 81 are,
⇒ 3, 6, 9, 81
Thus, All the natural number which divides the 83 and leave the remainder 2 are,
⇒ 3, 6, 9, 81
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Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
[tex][Hello,BrainlyUser!\; I'm\;Lenvy][/tex]
[tex]Your\;Answer\;Is\;Below[/tex]
Answer:
42 feet
Step-by-step explanation:
First let know what is
Yards to Feet
Note that;
1 Yard ⇒ 3 Feet
Thus, Formula: Multiply the length value by 3
Given:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Therefore, 14 * 3 = 42
Hence, Answer is Lena brough 42 feet of ribbon.
~[CloudBreeze]~
Answer:
42 feet
Step-by-step explanation:
Important Info:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Notice it say how many feet..
Therefore, Let's first know what yards to feet..
1 Yard → 3 feet
Since we know that We can Solve now:
To Find how many feet of ribbon she buy let's multiply;
14 x 3 = 42
or
14 + 14 + 14 = 42
Hence, Knowing that Lena brought 42 ribbon in feet.
[RevyBreeze]
Divide the difference of 18 and 3 by the sum of
1 and 2.
Answer:
5
Step-by-step explanation:
1. 18-3=15
2. 1+2=3
3. 15÷3=5
Always remember to bear in mind your mathematic vocabulary.
Given that the federal and state biweekly deductions for a single person making $1,300 with zero withholding allowances working in New York are $174 and $54.70 respectively, determine the net biweekly income. a. $1053.08 c. $1071.30 b. $1067.11 d. $1079.13 Please select the best answer from the choices provided A B C D
Answer: C. $1071.30
Step-by-step explanation:
I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.
Answer:
C
Step-by-step explanation:
Just took the quiz and got this right.