The college plans to use part of its land for a bicycle park.
The space for the bicycle park is rectangular 18 m by 4.8 m.
A rectangular space is needed for each bicycle.
0.6 m
Diagram not
accurately drawn
2 m
The builders think that 90 bicycles can fit in the bicycle park.
Are the builders correct?
Show a check of your working.
(4)
Answer:
No, only 72 bikes can fit
Step-by-step explanation:
18 x 4.8 is 86.4
2 x .6 is 1.2
86.4 divided by 1.2 is 72
there for only 72 bikes can fit
ANSWER ASAP PLZZZZZ
NEED HELP WITH THIS QUESTION
Answer:
x=-3
Step-by-step explanation:
I need help with #3 and #1
Answer:
1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s
3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot
Someone please help with this!
Answer:
27/1
Step-by-step explanation:
3³=3·3·3=27
27=27/1
What is the probability that (enter the probability only, do not round.):
• Exactly 2 are male?
• At least 7 are male?
• None are male?
• Less than 3 are male?
• There are 3 or 4 males?
• At least 1 is male?
Answer:
7
Step-by-step explanation:
The required probabilities are
• Exactly 2 are male = 0.08
• At least 7 are male = 0.14
• None are male = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.019
• At least 1 is male = 0.04
Probabilities to college reported that 40% of its population is male. Nine students are selected at random.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
For Exactly 2 are male = 2 * 0.04
= 0.08
Similarly,
• At least 7 are male = 0.14
• None are male = 1 -0.40 = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.12 *0.16 = 0.019
• At least 1 is male = 0.04
Thus, the required probability is given above.
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A small box measures 8 in. by 10 in. by 3/4 in. high. Find the volume of the box.
Answer:
Step-by-step explanation:
60
8x10x3/4
18. The temperature was
40° at noon. At midnight the
temperature was -10°.
Which integer describes the
change in temperature?
Answer:
Step-by-step explanation: Find the number between 40 and -10.
start at 40 and end at -10.
-40=0
0-10=-10
the tempature changed by 50 degrees.
How do you rewrite p(x)=-5x2+120x-315 in vertex form
Answer:
[tex]p(x)=-5(x-12)^2+405[/tex]
Step-by-step explanation:
Hi there!
Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]
[tex]p(x)=-5x^2+120x-315[/tex]
Factor out -5 from the first two terms
[tex]p(x)=-5(x^2-24x)-315[/tex]
Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)
[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]
We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.
Complete the square
[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]
Simplify
[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]
Summary:
Complete the squareSimplifyI hope this helps!
what is the volume of a prism if the width is 8 the height is 6 and the length is 4
Answer: 48
Step-by-step explanation:
V = b x h
V = 8 x 6
V = 48
A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance .
Complete question :
Birth Month Frequency
January-March 67
April-June 56
July-September 30
October-December 37
Answer:
Yes, There is significant evidence to conclude that hockey players' birthdates are not uniformly distributed throughout the year.
Step-by-step explanation:
Observed value, O
Mean value, E
The test statistic :
χ² = (O - E)² / E
E = Σx / n = (67+56+30+37)/4 = 47.5
χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295
Degree of freedom = (Number of categories - 1) = 4 - 1 = 3
Using the Pvalue from Chisquare calculator :
χ² (18.295 ; df = 3) = 0.00038
Since the obtained Pvalue is so small ;
P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year.
whitch lines are perpendicular??
Answer:
A
Step-by-step explanation:
multiple lines meeting at 90 degrees. hope this helped
What is the Slope of x-y=6?
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
9514 1404 393
Answer:
x in {-6, -2, 4}
Step-by-step explanation:
The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.
x +6 = 0 ⇒ x = -6
x -4 = 0 ⇒ x = 4
x +2 = 0 ⇒ x = -2
The zeros of the function are the x-values -6, -2, and 4.
The scatter plot shows the ages of drivers who attended a car show and the ages of their cars.
What is the age range of drivers who own an 8-year-old car?
The required range of drivers who own 8 years car is 23years.
Given that,
The scatter plot shows the ages of drivers who attended a car show and the ages of their cars.
We have to determine,
The age range of drivers who own an 8-year-old car.
According to the question,
The Range is the difference between the lowest and highest values.
Therefore,
The age range of drivers who own 8 years old car is 17,25 and 40 years.
Then,
Range of drivers who own 8 years car = highest value of range - lowest value of age.
Range of age of drivers who own 8 years car = 40 - 17 = 23years
Hence, The required range of drivers who own 8 years car is 23years.
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Question #2
What is the value of the expression
35
?
23 – 1
A 5
B 7
C 12
Answer:
A. 5
Step-by-step explanation:
just use calculator tbh
The net of a rectangular prism is shown.
8 in.
2 in.
2 in...-... 8 in......... 2 in.,
6 in.
2 in.:
What is the surface area of the rectangular prism?
O A. 60 square inches
O B. 94 square inches
O c. 96 square inches
OD. 152 square inches
O E. 200 square inches

Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sure to check your conditions and state your conclusion.
1.) Randomly selected
2.) Less than 10% of population
3.) 50 (0.68)
50 (0.32)
the answer would be 2
The equation x 2 + y 2 − 4 x + 2 y = b x 2 +y 2 −4x+2y=b describes a circle. determine the y coordinate of the center of a circle
Answer
Here’s a graph. Hope this helps.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
x²+y²-4x+2y=b
x²-4x+4+y²+2y+1=b+4+1
(x-2)²+(y+1)²=b+5
center is (2,-1)
Can y’all help me on question 18?!
Answer:
B
Step-by-step explanation:
16 - 7 = 9
Answer:
m=7
Step-by-step explanation:
Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.
I need help understanding area with combined shapes
Answer:
Step-by-step explanation:
You can start by splitting one whole complex shape into multiple shapes. Then find the areas of the shapes and add them together. Check the image I attached.
Can someone help fast please!!!!
Answer:
yes it is
Step-by-step explanation:
the width of a rectangle is 2 m less than the length. if the area of the rectangle is 48sq meters. what is the length and width
A company bought New Year's greeting cards to send to its valued customers. Sixty of the cards they sent cost $2.30 each. Thirty of the cards cost $2.75 each The remaining 34 cards cost $1.95 each. What was the total amount spent on these cards?
Answer:
$287.82
Step-by-step explanation:
60 * 2.30 = 138
30 * 2.75 = 82.5
34 * 1.98 = 67.32
138 + 82.5 + 67.32 = 287.82
A triangular fence has sides that measure 11 yards, 30 yards, and 35 yards. What is the measure of the greatest angle that is formed? Round to the nearest whole degree.
Answer:
108°
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]
[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]
cos = -0.309
The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
where c is the side opposite the angle C, and a and b are the other two sides of the triangle.
In this case, the sides of the triangle are:
a = 11 yards
b = 30 yards
c = 35 yards
Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]
Now, isolate cos(C) by moving the terms around:
[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]
Now, divide by 660 to find cos(C):
[tex]\cos(C) \approx -0.3091[/tex]
Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:
[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)
Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.
So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.
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-2(t+7)=-4t+12 what is the value of t
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
Determine if the following sequences are geometric or arithmetic sequences?
Answer:
Step-by-step explanation:
HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
the value of polynomial 5x - 4x square +3 when x=1
Answer:
f(x)=5x-4x²+3
f(1)=5×1-4×1²+3
5-4+31+34hope it helps.Step-by-step explanation:
5x - 4x^2 + 3
Now, put x = 1
=> 5(1) - 4(1)^2 + 3
=> 5 - 4 + 3
=> 8 - 4
=> 4 Ans.
HELP APA!! I will mark Brainlist THANK YOU!
Answer/Step-by-step explanation:
According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.
In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.
Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD