Answer:
0.8944
Step-by-step explanation:
We start by calculating the z-score
To calculate the z-score, we shall need the standard deviation
Mathematically, standard deviation is square root of variance
that will be; SD = √108,900 = 330
Formula for z-score is;
x-mean/SD/√n
where n is 65 in this case
z-score = (3882-3831)/330/√65 = 1.25
The probability we want to calculate is;
P( X < 1.25)
we can use the standard normal distribution table for this
Using the table;
P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places
Answer:
0.8944
Step-by-step explanation:
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.
.
Answer:
hope this helps
Step-by-step explanation:
9+6(10-7x)
9+60-42x
69-42x
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?
A. y = x2 + 1
B. y = x2 − 1
C. y = x2
D. y = x + 1
Answer:
The answer is A
Step-by-step explanation:
1 to the second power is 1 + 1 = 2
2 to the second power is 4 + 1 = 5
3 to the second power is 9 + 1 = 10
4 to the second power is 16 + 1 = 17
5 to the second power is 25 + 1 = 26
y = x² + 1 is a rule that could represent the given function.
Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.
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,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1
Thus, y = x² + 1 is a rule that could represent the given function.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
sina=3/5 find cos2a
Answer:
[tex] \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } [/tex]
Step-by-step explanation:
[tex] \because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\[/tex]
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?
A. 25/91
B. 66/200
C. 91/200
D. 66/91
Answer:
C
Step-by-step explanation:
Marginal relative frequency for the people who do not like cantaloupe is 0.455
or
91/100
Answer:
C is correct
Step-by-step explanation:
Which angles are vertical angles?
Answer:
T and Q
Step-by-step explanation:
It is right
Answer:
<STQ and <UTV
Step-by-step explanation:
IM BAD AT MATH HELP ME
Answer:
bro i cant see the question clearly please say in comments or say again
8x+2 factored using the GCF.
My friend is wondering this, I have seen responses but like all are different. Please help!
7th grade math.
Explanation:
For now, ignore the x.
The GCF of 8 and 2 is 2 since 2 is a factor of both
2 = 2*1
8 = 2*4
So if we had 8+2 we can factor 2 out like so to get 2*(4+1)
Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.
Similarly,
8x+2 = 2(4x+1)
which you can also check using the distributive property.
Problem D: PRABG4G2
Which one doesn't belong? Explain your reasoning.
A. 5 miles in 15 minutes
B. 3 minutes per mile
C. 20 miles per hour
D. 32 kilometers per hour
Answer:
D.
Step-by-step explanation:
Could anyone help please?
Answer:
9.6 or round it to 10
Step-by-step explanation:
brainliest pls
Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answer:
40%
Step-by-step explanation:
Given parameters:
Number of people surveyed = 2200
Number of people who said they would buy the car again = 880
Unknown:
The percentage of people satisfied with the car = ?
Solution:
The percentage of people satisfied with the car purchase can be determined using the expression below:
Percentage of people satisfied = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]
Percentage of people satisfied = [tex]\frac{880}{2200}[/tex] x 100 = 40%
How many pounds of turkey?
Answer:
11.25pounds
Step-by-step explanation:
Each person is eating two, 3/8
so 2x3/8=0.75 or 3/4
then do 3/4 x 15 = 11.25 pounds and for the price you do 11.25 x 1.05$ which is 11.81$ worth of turkey
At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?
Answer:
52 young calves
Step-by-step explanation:
At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?
The ration is given as:
adult milking cows to young calves
= 9 : 2
= 234 : x
= 9/2 = 234/x
x = Number of young calves
Cross Multiply
9 × x = 2 × 234
= x = 2 × 234/9
x = 468/9
x = 52
Hence, the number of young calves on the farm is 52.
The perimeter of a triangle is 59 cm. The first side is 7 cm shorter than the second side. The third side is 4 cm less than twice the length of the first side. Find length of each side
Given:
The perimeter of a triangle is 59 cm.
The first side is 7 cm shorter than the second side.
The third side is 4 cm less than twice the length of the first side.
To find:
The length of each side.
Solution:
Let x be the second side.
Then, according to the question,
First side = x-7
Third side = 2(x-7)-4
Perimeter of a triangle is the sum of all of its sides.
[tex](x-7)+x+(2(x-7)-4)=59[/tex]
[tex]x-7+x+2x-14-4=59[/tex]
[tex]4x-25=59[/tex]
Add 25 on both sides.
[tex]4x=59+25[/tex]
[tex]4x=84[/tex]
Divide both sides by 4.
[tex]x=21[/tex]
Now,
First sides =21 - 7=14 cm
Second side = 21 cm
Third side = 2(14)-4 = 24 cm
Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.
Use the equation p= 8.31/v where p = pressure and V = volume.
What happens to the pressure as the volume approaches 0? Explain your reasoning.
Answer: pressure increases
Step-by-step explanation:
because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.
Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure
Answer:
The pressure approaches infinity.
The function is undefined for V = 0.
There is an asymptote at V = 0.
Step-by-step explanation:
Exact answers for edge
Which line fits the scatter plot better?
Helppp will mark brainliestttt
The set of ordered pairs represents a function because every input has only one corresponding output.
Determine the mass of an object, if it requires a force of 6,000 kg: m/s2 to accelerate at the rate of 2 m/s^2
Answer:
The answer is 3000 kgStep-by-step explanation:
The mass of an object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{6000}{2} \\ [/tex]
We have the final answer as
3000 kgHope this helps you
[tex] \boxed{ \red{AnswEr:-}}[/tex]
Mass = 3000 kg★ GivEn :-
Force = 6000 kg • m/s^2Acceleration = 2 m/s^2★ To Find :-
The value of mass★ Solution :-
From Newton's 2nd law of motion we get the equation,
[tex]{ \boxed{ \red{ \sf{F =
m \times a}}}}[/tex]
where,
F = Force m = mass of the objecta = acceleration[tex] \implies \sf \: m = \dfrac{F}{a} [/tex]
Putting the values,
[tex] \implies \sf \: m = \dfrac{6000}{2} [/tex]
[tex] \implies \red{\sf \: m = 3000}[/tex]
Therefore, mass of the object = 3000 kg
Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP
Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks
Answer:
C. It is a whole number that is neither prime nor composite.
Step-by-step explanation:
A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.
However, a composite number must have more than two factors, which 1 doesn't have either.
Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.
Have a nice day!
Answer:
C!
Step-by-step explanation:
hope it helped
I WILL GIVE BRAINLIEST
Answer:
it should be b but if i'm wrong im really sorry :(
Step-by-step explanation:
Kevin ate 2/3 of a pizza and Louisa ate 1/12 of the same pizza. How
much pizza is left? *
Answer:
7/12
Step-by-step explanation:
multiply 2/3 by 4 on both the numerator and denominator which is 8/12
8/12-1/12=7/12 (final answer because it cannot be simplified)
Please help will give brainliest if its correct
Answer:
radius squared
Step-by-step explanation:
Which shape has six square, flat sides that are equal in size?
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.
Write a recursive rule for the sequence 10, 18, 26, 34….
Answer:
42
Step-by-step explanation: It keeps going up by 8
What is the slope of this line?
y+2=−2(x−3)
Answer:
-2
Step-by-step explanation:
The final equation is y= -2x+4, so the slope is -2
Answer:
The slope is -2
Step-by-step explanation:
This equation is in point slope form
(y-y1) = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y+2=−2(x−3)
y- -2=−2(x−3)
The slope is -2 and a point on the line is ( -3,-2)
Two friends tried to rewrite the expression 12 + 20 using the distributive property. Which friend is correct? Explain.
Ahmad: 6(3+7)
Deena: 4(3+5)
Answer:
Deena
Step-by-step explanation:
Anthony read 46 pages of a book in 23 minutes.
To find the unit rate, use
.
Anthony read
pages per minute.
Answer: Anthony read 2 pages per minute.
Step-by-step explanation:
Answer: 2 pages/ 1 minute or (2 pages per minute)
Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).
Pls let me know in 5 min or I’m dead
Answer:
( 0 , 4 )
Step-by-step explanation:
Your estimate is correct
Answer:
(-1, 6)
Step-by-step explanation:
sub the points into the equation if LHS and RHS are equal to each other, it is correct