Answer:
l = 4a and b = 3a
Step-by-step explanation:
Given that,
The area of the rectangle, A = 12a²
Perimeter, P = 14a
The area and perimeter of a rectangle are given by :
A = lb
12a² = lb ....(1)
P = 2(l+b)
14a = 2(l+b) ....(2)
We need to solve equations (1) and (2). After solving we find that.
l = 4a and b = 3a
Hence, the dimensions of this rectangle are 4a and 3a.
Allison paid $297.50 for a new laptop. Last week, the price of the laptop
was $350.
15%
350x0.15=52.5
350-52.5=297.5
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and
estimated the mean and standard deviation of the sampling distribution to be 4.9 letters and 0.15 letter, respectively.
Based on the estimates for the sampling distribution, which of the following provides the best estimates of the population parameters?
Answer:
Mean 4.9 letters and standard deviation 1.5 letters
Step-by-step explanation:
Solve for x 1/5x − 2= 4
Answer:
here ya go :)
Step-by-step explanation:
Triangle ABC and triangle DEF are similar. What is the measure of side DF?
please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.
Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.
9514 1404 393
Answer:
r ≈ 15.90 mP ≈ 63.27°Q ≈ 26.73°Step-by-step explanation:
The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.
r = √(14.2² +7.15²) = √252.7625
r ≈ 15.8985 ≈ 15.90 . . . meters
__
The angles can be found from the tangent relation.
Tan = Opposite/Adjacent
tan(P) = 14.2/7.15
P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°
Angle Q is the complement of angle P.
Q = 90° -63.27° = 26.73°
The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 years, with a standard deviation of 7.3 years. The distribution of ages is right-skewed. For a study to determine the reliability of classified ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.
Required:
From the problem statement, which of the values 7.7, 7.3, 8.3, and 5.7 are parameters and which are statistics?
Answer:
7.7 and 7.3 are the parameters
8.3 and 5.7 are statistics
Step-by-step explanation:
In the given question,
7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.
So,
It represents the population mean and standard deviation
So,
7.7 and 7.3 are the parameters .
Now,
8.3 and 5.7 is mean and standard deviation for sample , not for population.
∴ 8.3 and 5.7 are statistics.
Find the critical value necessary to form a confidence interval at the level of confidence shown below.
c=0.87
Answer:
the critical value for 0.87 level of confidence is 1.51
Step-by-step explanation:
Given the data in the question;
level of confidence = 0.87
now,
1 - c = 0.87
c = 1 - 0.87
c = 0.13
c/2 = 0.13/2 = 0.065
now
1 - c/2 = 1 - 0.065 = 0.935
so our level of significance ∝ = 0.935
Now, the critical value will be;
[tex]Z_{0.935[/tex] is obtained as follows;
P( Z < z ) = 0.935
so we find the value from ( standard normal distribution table )
P( Z < 1.51 ) = 0.935
Therefore, the critical value for 0.87 level of confidence is 1.51
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
Select the equation of the reflected curve.
Answer:
Step-by-step explanation:
C
Which number line shows all the values of that make the inequality-6y - 2 > 10 true?
Answer:
y<−2
Step-by-step explanation:
−6y−2>10
Add 2 to both sides.
−6y>10+2
Add 10 and 2 to get 12.
−6y>12
Divide both sides by −6. Since −6 is negative, the inequality direction is changed.
y<12/-6
Divide 12 by −6 to get −2.
y<−2
Help! I’ll give brainliest it’s on quadratic equations
Answer:
divide b by 2 and square it to get c:
-20/2 = -10
[tex](-10)^2 = 100[/tex]
second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]
Answer:
x (x-20)
Step by step
1. A rectangle has an area of 12 m2 and a width
of 400 cm. What is the length of the rectangle?
A. 3 cm
B. 30 cm
C. 300 cm
D. 3000 cm
Answer:
L = 3 cm
Step-by-step explanation:
let lenght be L
First convert area in cm
1 m = 100 cm
12 m = 1200 cm
Area of rectangle = width x lenght
1200 cm = 400 cm x L
1200 /400 = L
3 cm = L
please need help.
find x round to the nearest tenth if necessary.
Answer:
it's 21 because if you do 7x3 you get =21
Write the equation in standard form. Y - 10= 2(x-8)
Answer:
2x-y=6
Step-by-step explanation:
y-10=2(x-8)
y-10=2x-16
-10+16=2x-y
6=2x-y or
standard form 2x-y=6
How many curtains can be made from 20 meters of cloth if each curtain requires 2 and 1/2 meters ?
Answer :- 20/2.5 = 8
......
The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
20 meters of cloth if each curtain requires 2 and 1/2 meters.
The total length of the cloth = 20 meters
Each curtain requires 2 and 1/2 meters
= 2 + 0.5
= 2.5 meters
Total number of curtains = 20/2.5
Total number of curtains = 8
Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
IF YOU AWNSER THIS QUESTION ILL GIVE YOU 1$
Write the equation of the line that is parallel to the line y=2x+1 that passes through the point (-3, -2).
Answer:
what i got was
y-1=2x-8¬y=2x-7
Find the missing side lengths. Leave your answers as radicals in simplest form.
9514 1404 393
Answer:
x = 18y = 9Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In the same order, the given side lengths are ...
y : 9√3 : x
Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:
9(1) : 9√3 : 9(2) = y : 9√3 : x
Then y = 9·1 = 9, and x = 9·2 = 18.
The missing side lengths are x = 18, y = 9.
A square has side length 3 units. What is the length of the diagonal?
A. 3 units
B. 3/√2 units
C. 3√2 units
D. 6 units
Answer:
C
Step-by-step explanation:
The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.
The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
The length of the diagonal of a square is calculated using the following Pythagoras theorem
[tex]d^2 = l^2 + l^2[/tex]
Where:
d represents the length of the diagonall represents the side length of the squareSo, we have:
[tex]d^2 = 3^2 + 3^2[/tex]
Evaluate the like terms
[tex]d^2 = 2(3^2)[/tex]
Take the square roots of both sides
[tex]d =3\sqrt2[/tex]
Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
Read more about diagonals at:
https://brainly.com/question/654982
Plz help me well mark brainliest if correct!!
reduce 12/20 to lowest term
Answer:
3/5
Step-by-step explanation:
12/20
(divide both by 2)
12/2= 6
20/2=10
6/10
(divide by both by 2)
6/2= 3
10/2= 5
3/5
A cone has a height of 10.3 inches and a radius of
3 inches.
What is the volume in terms of it?
20. 6n in
30.91 in
64. 6841 in
0 97.0261 in
This scale shows weight in pounds. How much do the apples weigh?
A. 3/4 lb.
B. 3 lb.
C. 3 1/4 lb.
D. 4 lb.
Answer:
where is the scale
Step-by-step explanation:
where is the scale
Answer:
What does the scale look like?
Find the unknown number of 10w = 25
Answer:
w=5/2 or W=2 1/2 if decemial 2.5
Step-by-step explanation:
which situation could be described by the equation p + 3/4 2/2 F. Dara poured all the flour she had into a bowl and added 3/4 cup of milk to make 2 1/2 cups of cake batter what amount of flour did she use? G. the week's meeting of the math club lasted 2 1/2 hours which was 3/4 of an hour less than last week's meeting what was the length in hours of last week's meeting H. Mr. Lopez is driving to work a distance of 2 1/2 miles he will stop at a post office when he is 3/4 of the way there what is the distance to the post office J. A yard of cheesecloth costs $0.75 How many yards of cheesecloth could you buy for $2.50
Answer:c
Step-by-step explanation4/8= 1/2
3*1/2= 1.5
Janet uses 1 and 1/2 cups of flour this week.
That is less than four cups, so we can eliminate statement A and B.
It is not less than one though because 1.5>1
"C" is the correct answer. She uses less than four cups because 3/8 (1.5) is less than 4.:
Can someone help me with this please
(4x+12) (7y-8)
(7y+20)
120*
Answer:
12, 12
Step-by-step explanation:
4x+12=60
x=12
7y-8+7y+20=180
14y=180-12
y=168/14
y=12
Find the area of the composite shape:
5 cm
14 cm
14cm
4 cm
The area to the composite shape is:
Answer:
5×14×14×4=3,920 cm
Step-by-step explanation:
Multiply all numbers to find the area.
The coordinates of point A are (6, 2). The coordinates of point B are (2, 6). AB¯¯¯¯¯is transformed to form A′B′¯¯¯¯¯¯¯, shown in the graph. What is the transformation of AB¯¯¯¯¯ that results in A′B′¯¯¯¯¯¯¯? Drag and drop the answers into the boxes to complete the sentence. AB¯¯¯¯¯ is Response area Response area to form A′B′¯¯¯¯¯¯¯ . A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair
Answer:
AB¯¯¯¯¯ is reflected across the y- axis to form A′B′¯¯¯¯¯¯¯ .
Pls help I’ll addd extra points
Answer: 3/5
Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2
hoped this helped:)
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=
[tex] \frac{3}{5} [/tex] ....
heya Guys
it's too hot here
am about to die
since 6 hrs I am spraying chilled water
save me
becoming omlette here
Answer:
..........................
Graph the function
y = 2x^2+4x
Answer:
Hey!
Step-by-step explanation:
Hope this helps you!
Best of luck! <3