Step-by-step explanation:
#1 . the minimum height =
443 - 394 = 49 ft
#2. y = (394/2) + 49 = 197+49
=> y =246
#3. the amplitude is ½× diameter
= ½×394 = 197 ft
#4. the period of function is
the time that the wheel takes
one rotation =>30 minutes
Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is the probability that next week she catches her bus on Monday, Tuesday, and Thursday, but misses her bus on Wednesday and Friday
Answer:
The probability is [tex]\frac{729}{100000}[/tex].
Step-by-step explanation:
probability of missing the bus = 1/10
Probability of catching the bus = 1 - 1/10 = 9 /10
So, the required probability is
[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]
[tex]\frac{729}{100000}[/tex]
Which ordered pair belongs to the function shown by this mapping diagram?
Answer:
{(7, 3), (8, 1), (9, 1), (10, 2)}
Step-by-step explanation:
Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:
We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.
The ordered pairs (x, y) are as follows:
{(7, 3), (8, 1), (9, 1), (10, 2)}
II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10
Answer:
11. Expression
12. Equation
13. Equation
14. Expression
15. Equation
Step-by-step explanation:
Expression:
Has no equal sign.
Equation:
Has equal sign.
11. 2 + 5
14. X + 25
Those which do not have the equal sign are expressions.
12. 2 + 5 = 7
13. 4x = 12
15. 16 - 6 = 10
Those with the equal sign are equations.
A square pyramid has a volume of 1350 ft3. If the base is a square with side
lengths 15 feet, what is the height?
How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 3.7 lb of the population mean, and the population standard deviation is known to be 28 lb.
Answer: the required sample size = 155
Step-by-step explanation:
If the standard deviation of the prior study is known, then the formula to compute required sample size:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] = populion standard deviation.
Given: E = 3.7 , [tex]\sigma=28[/tex]
Critical value for 90% confidence = 1.645
Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]
[tex]n=(12.4486486486)^2\approx155[/tex]
Hence, the required sample size = 155
What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
Given f(x) = 2x – 6, find f( – 4).
Answer:
f(-4) = -14
Step-by-step explanation:
f(x) = 2x – 6
Let x = -4
f(-4) = 2*-4 -6
f(-4) = -8-6
f(-4) = -14
Answer:
The answer is -14
Step-by-step explanation:
f(-4) = 2(-4) - 6
= -8 - 6
= -14
What is the greatest common factor of the two terms
24x^6 and 18x^4
30x^3y^5 and 25x^2y
24x⁶ and 18x⁴ —> 6x⁴
30x³y⁵ and 25 x²y —> 5x²y
A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area
Answer:
B
Step-by-step explanation:
the dimensions of the rectangle when its area is 9cm^2
Pedro solves the quadratic equation x^2+6x –14 using the quadratic formula. In which step did Pedro make an error?
9514 1404 393
Answer:
correct choice is marked
Step-by-step explanation:
The error is in step 2. The square root cannot be distributed to a sum.
Fill in the missing monomials: 100x^2= (____)^2
ITS NOT 100
Answer:
(10x)^2
Step-by-step explanation:
A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white?
5+4+7+2=18
18-2=16
16/18
88% chance of selecting a marble that isnt white
Answer:
8/9
Step-by-step explanation:
P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9
P(not white) = 1 - P(white) = 1 - 1/9 = 8/9
at what rate will £420 yield
£70 in 4 years
Answer:
4.17%
Step-by-step explanation:
Rate = interest earned / (principal x time)
70 / (4 x 420) = = 0.0417 = 4.17%
Aurora wants to make a donation to a charity at the end of the year she starts by saving a small amount of money each week as shown in the graph
Answer:
The relationship between weeks and the total amount is:
[tex]y=10x[/tex]
Step-by-step explanation:
We have here a linear relationship between weeks and the total amount. The equation of a line is:
[tex]y=mx+b[/tex]
Where:
m is the slope b is the y-interceptWe need two points to find the slope.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let's use any pair points from the plot.
[tex]m=\frac{60-40}{6-4}[/tex]
[tex]m=10[/tex]
And we also see that the y-intercept is 0, therefore the equation will be:
[tex]y=10x[/tex]
I hope it helps you!
Answer:
y=10x and Over 4 weeks, Aurora saves $40
Step-by-step explanation:
What is 150 millimetres in meters ?
Answer: 0.15meters
that the answer
Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =
Answer:
y=6
Step-by-step explanation:
the equation that relates x and y is y=30(1÷x)
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Answer:
4 weeks
Step-by-step explanation:C. 5 weeks 90+48 138
88+40 138
Step-by-step explanation:
s
Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?
(Proportional Reasoning)....
I really need an answer, and it would be great if you answer
Answer:
I'm guessing 60
Step-by-step explanation:
84% sure tho
Classify the triangle by its sides and angles. 48.3 cm 48.3 cm 48.3 cm not drawn to scale a. equilateral, right b. scalene, right C. isosceles, acute d. equilateral, acute
Answer:
D
Step-by-step explanation:
Equilateral acute because all sides are equal
in a school , 4/9 of the students are boys and number of girls is 90 . find the number of boys in school
4/9 of the students are boys thus 5/9 students are girls.
Let " x " be the number of all students.
So we have :
5/9 × x = 90
Multiply both sides by 9/5
5/9 × 9/5 × x = 90 × 9/5
1 × x = 9 × 9 × 10 × 1/5
x = 81 × 2
x = 162
_______________________________
number of boys = 4/9 × x
n o boys = 4/9 × 162
n o boys = 162/9 × 4
n o boys = 18 × 4
n o boys = 72
A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.
Answer:
100/100
Step-by-step explanation:
XD
y= 2x + 7 y= -4x - 5 What is the solution for the system of equations?
Answer:
x = -2, y = 3.
as an ordered pair it is (-2, 3).
Step-by-step explanation:
y= 2x + 7
y= -4x - 5
As both right hand expression are = y we have:
2x + 7 = -4x - 5
6x = -12
x = -2
Substitute for x in equation 1:
y = 2(-2) + 7 = 3.
What combination of translation is shown below?
reflection, then translation
I need to know where to put the lines
Answer:
put them on the points
Step-by-step explanation:
The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?
x+3
x−3
x×3
x÷3
Answer:
C; x*3
Step-by-step explanation:
3X+2Y=5Y+2X-11 How do i show my work for this?
Answer:
3x + 2y = 5y + 2x -11
-3x -3x
2y = 5y -x -11
-5y -5y
-3y = - x - 11 (divide by -3)
y = - x - 11/3
The question is in the picture (:
Answer:
[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]
Can someone please help me on this work I really need help I will but you brainly
Answer:
-3 1/4 is the answer for this question
plz help me it is do at 10:45
Answer:2+6+2+1+3+2+1+1+3+0+4+2=27
27 divided by 12=2.25
I’m very confused can someone help me o