Answer: Width = 5.5ft
Length = 18ft
Step-by-step explanation:
Let the width of the rectangle be x
Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:
= (2 × x) + 7 = 2x + 7.
Therefore, length × width = area
x × (2x + 7) = 99
2x² + 7x = 99
2x² + 7x - 99 = 0
2x² + 18x - 11x - 99 = 0
2x(x + 9) - 11(x + 9) = 0
(2x - 11) = 0
2x = 0 + 11
2x = 11
x = 11/2
x = 5.5
The width is 5.5ft
Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft
Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?
Answer:
24°
Step-by-step explanation:
The sum of all interior angles of a triangle always equal to 180°.
There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.
[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]
Isolate x by subtracting 156 to both sides.
[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]
Double the product of 4y and 3b if y=2 and b=1.
Answer:
48
Step-by-step explanation:
Double the product of 4y and 3b
2 * ((4y) * (3b))
y = 2 and b = 1
2 * ((4 * 2) * (3 * 1))
2 * (8 * 3)
2 * 24
48
What’s the correct answer??? I will mark as brainlest?
Answer:
t=0.15n
Step-by-step explanation:
I had it on a test and it was correct
3.75=0.15(25)
and when you times 0.15*25 it equals 3.75
Here’s the next problem:)
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
johns rent is $1,355. what is his standardized z-score
Answer:
His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.
Step-by-step explanation:
Z-score:
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Johns rent is $1,355.
This means that [tex]X = 1355[/tex]
What is his standardized z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1355 - \mu}{\sigma}[/tex]
His standardized z-score is [tex]Z = \frac{1355 - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean price of rents and [tex]\sigma[/tex] is the standard deviation for price of rents.
Which equation is true?
9 × 8 = 8 × 9 equation is true
6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?
Answer: - $6.75
Step-by-step explanation:
CAN SOME OME ANSWER A AND B PLEASE!!z
Which one of these diagrams shows its reference angle in standard position?
Answer:
A
Step-by-step explanation:
MARK AS BRAINLIEST!!
I will give brainliest
Answer:
Step-by-step explanation:
make a right triangle to find the lenght of a side which is also the hypotenuse of the triangle
c² = a² + b²
c² = 7² + 5²
c² = 49 + 25
c² = = 74
Since the area of a square is s² and c = s
a = c²
a = 74 units²
The following confusion matrix for a classification method with Class 0 and Class 1 was found by Data Mining: Confusion Matrix Predicted Class Actual Class 0 1 0 105 53 1 32 110 What are the percent error rates for Class 0 and Class 1? a. 31.65% and 22.54%, respectively b. 33.54% and 22.54%, respectively c. 10.71% and 41.25%, respectively d. 45.37% and 46.67%, respectively
Answer:
b. 33.54% and 22.54%, respectively
Step-by-step explanation:
Confusion Matrix
Predicted Class
Actual Class 0 1 Total
0 105 53 158
True Positive False Negative
TP FN
1 32 110 142
False Positive True Negative
FP TN
Total Error Rate = FN +FP/ P +N
Total Error Rate = 53+32/ 105+32+53+110
Total Error Rate = 85/300 = 28.33%
Error Rate for Class 0 = FP/ FP+TP= 32/142 = 22.53%
Error Rate for Class 1= FN/ FN+TP= 53/ 158= 33.54%
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answer:
53.76 cm3
Step-By-Step Explanation
why is coal a non-renewable energy source
What is the output for an input of "9" for "n" for the equation m=4n-6.
Answer:
so m=30
Step-by-step explanation:
4x9 is 36
36-6 is 30.
Answer:
m = 30
Step-by-step explanation:
If f(x) = x3 – 6x2 – 45x + 50 and X – 10 is a factor of f(x), then find
all of the zeros of f(x) algebraically.
Answer:
x = 1 or x = -5 or x = 10
Step-by-step explanation:
f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)
(x - 1) (x + 5) (x - 10) = 0
x = 1 or x = -5 or x = 10
According to the 2010 Census information, 13.6% of those living in Lucas County are living in poverty. A random sample of 489 people living in Lucas County yielded that 16% of them report living in poverty. Test the claim that the poverty rate has increased since 2010. The level of significance is 0.10. c. Suppose the p-value is 0.085. State the conclusion of this test.
Answer:
Option b .
Step-by-step explanation:
Given that
The 13.6% represent the people living in property
There is a random sample of 489 people in that 16% of them would be in poverty
The significance level is 0.10
ANd, the p value is 0.085
We need to find out the conclusion
According to the attached options, we considered that there is enough evidence in order to support the claim that result in rise in the poverty rate
SOMEONE SMART PLEASE HELP ME!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?
Answer:
The base of the rectangle is 21 mm.
Step-by-step explanation:
Given that a rectangle's area is 336 mm, and its height is 16 mm, to determine what is the measure of its base, the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:
16 x X = 336
X = 336/16
X = 21
Therefore, the base of the rectangle is 21 mm.
Solve-20-5>3.
Which graph shows the solutions?
Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e
Answer:
d
Step-by-step explanation:
A department store, on average, has a daily sales of $28,176.44. The standard deviation of sales is $1500. On Tuesday, the store sold
$34,083.30 worth of goods.
Find Tuesday's z score
Answer:
You are t subtract both 28,176.44-$1500
Step-by-step explanation:
right after that the answer you get for subtraction you go ahead and use it to subtract with 34,083.30
у= 3х-5
у = 3х+12
Please help ASAP for my lil sister
Answer:
0
Step-by-step explanation:
The equation is undefined.
Select all ratios equivalent to 8:16.
14:12
13:32
3:6
Answer:
3:6
Step-by-step explanation:
8:16 is a 1/2 ratio
help with the Area of a circle
Answer:
A = 201.06 units²
A = 78.54 units²
Step-by-step explanation:
Formula for area of a circle = πr²
✔️Area of the first circle:
r = ½(d) = ½(16)
r = 8
Area = π*8² = π*64
Area = 201.06 units²
✔️Area of the second circle:
r = 5
Area = π*5²
= π*25
Area = 78.54 units²
Will give brainliest
Find the mean, median, mode, and range of the following data. Then, create a line plot, histogram, and a box‐and‐whisker plot for the data. 65, 75, 93, 95, 84, 67, 75, 65, 65, 72, 83, 74
Answer: There is a picture below of my work. Sorry for my sloppy hand writing.
Answer:
Step-by-step explanation:
84
find the supplementary angle of the following write the answer in the blank
If r= 1 and 0 = 5π/4, what is the approximate arc length?
===============================================
Work Shown:
L = theta*r
L = (5pi/4)*1
L = 5pi/4
L = 3.92699081698724 approximately
L = 3.927 units
The formula above only works if theta is in radians.
If the angle is in degrees, then you need to convert using the rule
y = (pi/180)*x
where x is the angle in degrees and y is the equivalent angle measure in radians.
In the fourth step, I used my calculator to get that value. You could use pi = 3.14, but in this case, your teacher wants you to use the stored value of pi found in the calculator.
---------------------------
Extra info (optional section):
If you're curious why that formula works, then consider a circle with circumference C = 2*pi*r. This is the distance around the circle, aka the perimeter.
The arc length in red is only a fractional portion of the full perimeter. Specifically, that fractional amount is theta/2pi. We multiply this fraction by the full perimeter and simplify
L = arc length
L = (full circle circumference)*(fractional amount)
L = (2*pi*r)*(theta/2pi)
L = theta*r
The "2pi" terms cancel in the last step. Again, this formula only works if theta is in radians. This is due to the fractional portion theta/2pi.
There is an equivalent formula for theta being in degrees, which is
L = (theta/360)*2*pi*r
but this version is a bit messier in my opinion.
Answer:3.927
Step-by-step explanation:
What Is 3/4x1/3? Please Help Quick
Answer:
1/4
Step-by-step explanation:
For this, think of dividing 3/4 into 3 parts, each of them being 1/3 of the original amount.
With this, it would be 1/4, as 1/4 + 1/4 + 1/4 = 3/4.
Which of the following equations describes the line shown below? Check all
that apply.
Answer:
B. y = 2x - 2
E. [tex] y + 4 = 2(x + 1) [/tex]
F. [tex] y - 6 = 2(x - 4) [/tex]
Step-by-step explanation:
The equation of the line can be found using either the point-slope equation or the slope-intercept equation.
✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):
Slope = m = change in y/change in x
Using (4, 6) and (-1, -4),
m = (-4 - 6)/(-1 - 4)
m = -10/-5
m = 2
Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form [tex] y - b = m(x - a) [/tex]
Thus:
[tex] y - 6 = 2(x - 4) [/tex]
✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):
Slope = m = 2
Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form [tex] y - b = m(x - a) [/tex]
Thus:
[tex] y - (-4) = 2(x - (-1)) [/tex]
[tex] y + 4 = 2(x + 1) [/tex]
✔️Equation of the line in slope-intercept form, y = mx + b
Where,
m = slope = 2
b = y-intercept = -2 (the point where the line intercepts the y-axis)
Thus, substitute m = 2 and b = -2 into y = mx + b
y = 2x + (-2)
y = 2x - 2
AB is the midsegment of AXYZ and PQ is the midsegment of XAB. What is the relationship in length between PQ and YZ? O PQ = 1/8 Y Z O PQ = 1/2YZ O PQ = 1/4Y Z O PQ = 1/3YZ
Answer:
third option: PQ = 1/4(YZ)
Step-by-step explanation:
By the Midsegment Theorem, a midsegment is 1/2 the side across it. Using this, we can say:
In triangle XYZ, AB = 1/2(YZ)
And in triangle XAB, PQ = 1/2(AB)
We can substitute AB into the second equation to get:
PQ = 1/2(1/2(YZ))
PQ = 1/4(YZ)
This is the third option.
John buys 6 shares for $3 each. He sells them for $4. What is his capital gain?
He bought them for $3 each and sold them for $4 each. That is a gain of $1 for each stock (4-3 = 1)
6 stocks x $1 = $6 total gain
6+3+4=13
Step-by-step explanation:
and if u multiple are divided u will get 6×3×4= 72 and if u divided 6÷3÷4=0.5and if u multiple and divide u will get 4.5