After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.
Answer:
52 miles per hour
Step-by-step explanation:
Given:
Distance driven = 364 miles
Total time taken = 7 hours
Required:
Average speed of Chad
SOLUTION:
Average speed is the number of miles covered per hour.
Thus:
Average speed = distance covered / time taken to cover the distance
Average speed = [tex] \frac{364}{7} = 52 mph [/tex].
Chad's average speed is 52 miles per hour.
In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
A random sample of 60 students is drawn from this population. What is the probability that the mean test score is greater than 290? Leave answers in decimal form, not percentages. Round to the nearest Hundredth (two decimal places).
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
Step(i):-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]
Step(ii):-
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
What is an equation with a slope of 2 that passes through (-8,0)
1) y=Mx+b
2) substitute the values: 0= -8x2 + b
3)multiply: 0= -16 +b
4) add 16 to both sides : 16= b
5) b is your y int. Plug in the values y=2x + 16
Answer : y= 2x+ 16
True or false : dilations always have the same scale factor as the original shape
Answer:
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.
Answer:
I would say False
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.
Hope this helps.
This is how many classes students at Bronx College take this semester with the probabilities courses1 2 3 4 5 probability (distribution) of taking that many courses.1.1.6.1.1 The variance for this distribution is approximately.
Answer:
1
Step-by-step explanation:
Given the question above :
The probability distribution :
X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5
P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)
μ = 3
Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²
= 10 - 9
= 1
Hence. Variance = 1
(Pls help me! I don’t understand!) it’s as image btw
One day, Farmer Brown counts his chickens and his
eggs. He finds the ratio of chickens to eggs is 7 to 12. If
there are 77 chickens, how many eggs are there?
Answer:
132 eggs
Step-by-step explanation:
7 chickens to 12 eggs; 77 chickens to x eggs
7/12 to 77/x
77/7 = 11
7/12 (11/11)
77/132
77 chickens to 132 eggs
If there are 77 chickens, and the ratio of chickens to eggs is 7 to 12, there are 132 eggs.
The number of eggs from the given ratio are 132.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of chickens to eggs is 7 to 12.
There are 77 chickens.
Let x be the total number of chickens and eggs.
Now, 7/19 ×x=77
⇒ 7x=1463
⇒ x=209
Number of eggs =209-77
= 132
Therefore, the number of eggs are 132.
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4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?
Answer:
20%
Step-by-step explanation:
you take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%
Answer:
20%
Step-by-step explanation:
2000-1600=400
400/2000=1/5=20%
Type the following fractions in order from greatest to least:
5/4, 4/10, 5/12, ¼, 11/12
Write the decimals in the boxes from greatest to least:
0.5, 0.91, 0.04, 0.89, 0.51
Answer:
Just put the greatest number first and then the second greatest etc
Find the value for
20:5=30:X
Answer: 6
Step-by-step explanation:
20/5 = 30/x
5 = 30/x
x = 6
The value 'x' in the given equation is 7.5.
What is the ratio of two numbers?"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."
Given, 20:5=30:X
⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]
⇒ x = (30 × 5) / 20
⇒ x = 7.5
Therefore, the value of x is 7.5.
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A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy [tex]2.25\ \text{ft}^2[/tex]
Area of first level
[tex]75\times 75=5625\ \text{ft}^2[/tex]
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
[tex]\dfrac{5625}{2.25}=2500[/tex]
The number of tickets that can be sold for the first level is 2500.
help, please
thank you
i will brainlist
Answer:
The answer is √156
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?
Answer: 30
6 times larger than the width = that's 5×6=30.
Answer:
30 is the answer
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Answer this math question and ill give brainliest
Answer:
6 squares!
Hope this helped! :)
How many pounds of grapes can I buy for $1.00?
2.09
Here you go! Hope it helps!
Brainliest if you provide an explanation and/or get it right!
Q: Find the value of y if x = 3
How to reduce 0.35 to the lowest term
Answer:
7/20
Step-by-step explanation:
[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]
Answer:
7/20
Step-by-step explanation:
35/5=7
100/5=20
35/100=7/20
Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation: Edge
Answer:
It is D i think.
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
If the ratio of circles to triangles you will only need to write ratios in one form of your choice
Answer:
Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle
Step-by-step explanation:
Write the equation of the line through the points (4,5) and (12,9)
Answer:
y - 9 = 1/2 (x - 12)
Step-by-step explanation:
find slope:
9-5 = 4, 12 - 4 = 8, slope = 1/2
put in point-slope form:
y - 9 = 1/2 (x - 12)
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45
You bought a game system tor 120 and sold
it for $150. What is the percent increase?
Answer:
25%
Step-by-step explanation:
I think...
Answer:
25%
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
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Find the unit rate from the graph :
Answer:
There are 5 sales per minute!
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!
A store bought a shirt for $20 dollars.
They sold it for some $23 dollars.
What is the percent of change here?
[tex]\mathrm {Hey, there!}[/tex]
Thanks for posting your question! Let's solve your problem:
The answer to your question is: 280% increase!
When we do percent of change, we will set up this ratio.
CHANGE IN QUANTITY (23 - 20)
------------------------------------------
ORIGINAL QUANTITY (3)
The change in quantity is : 23 - 20
The original quantity would be 3, 23 - 20 = 3.
Now, we will convert that into a fraction.
20 / 2 = 10
23 - 20 = 3
Fraction - 3/10
Make the fraction into a decimal.
3/10 = 0.15
Make the decimal into the percent.
0.15 = 15% increase
Best of Luck!
Determine the y-intercept for 3x+2y=14
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
help
please..,..who knows this math answer
A. in a linear equation in x and y x is indepdendt so y depends on it
Please help!!!!!!!!!!!!