Answer: What are we supposed to do ???
Will mark the brainliest i havent chosen an answer but I pressed accidentally
Answer:
The full answer is 4.40625 but rounded it would be 4.41
34 Proportions
Mathematics, Pre-Algebra
Question 2
A boat can travel 21 miles on 7 gallons of gasoline. How far can it travel on 17 gallons?
Answer:
51 miles
Step-by-step explanation:
hope it's clear and understandable
:)
if 2x-y=2, what is the value of 9^x/3^y?
1) 3
2) 9
3) 27
4) 81
Work Shown:
(9^x)/(3^y)
( (3^2)^x )/(3^y)
( 3^(2x) )/( 3^y )
3^(2x-y)
3^2 .... use the equation 2x-y = 2
9
7. The General Society Survey asked a sample of 1200 people how much time they spent watching TV each day. The mean number of hours was 3.0 with a standard deviation of 2.87. A sociologist claims that people watch a mean of 4 hours of TV per day. Do the data provide sufficient evidence to disprove the claim? Use α = .05 to test the hypothesis. a. What are your null and alternative hypotheses? b. What test is appropriate here? Why? c. What is your test statistic? d. What is your critical value? e. What is your final decision: do you reject the null or fail to reject the null?
Answer:
a) and b) Look step by step explanation
c) z(s) = - 12,07
d) z(c) = - 1,64
e) Final decision: Reject H₀
Step-by-step explanation:
We assume Normal Distribution
Data:
Sample population n = 1200
Sample mean μ = 3
Sample Standard deviation 2,87
Claim mean μ₀ = 4
α = 0,05 then from z-table we find z(c) = 1,64 ( critical value )
We need to develop a one tail-test to the left
Test Hypothesis
The General Society developed a survey ( in all cases that is an indication of a sample)
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
To calculate the z(s)
z(s) = ( μ - μ₀ )/ 2,87/√n
z(s) = ( 3 - 4 )/ 2,87/√1200
z(s) = -1 * 34,64 / 2,87
z(s) = - 12,07
To compare z(s) and z(c)
z(s) < z(c) - 12,07 < - 1,64
z(s) is in the rejection region (quite far away) we reject H₀
Data provide enough evidence to disprove the claim
Find the value of the expression: −mb −m^2 for m=3.48 and b=96.52
Answer:
The value of the expression when [tex]m = 3.48[/tex] and [tex]b = 96.52[/tex] is 323.779.
Step-by-step explanation:
Let be [tex]f(m, b) = m\cdot b - m^{2}[/tex], if [tex]m = 3.48[/tex] and [tex]b = 96.52[/tex], the value of the expression:
[tex]f(3.48,96.52) = (3.48)\cdot (96.52)-3.48^{2}[/tex]
[tex]f(3.48,96.52) = 323.779[/tex]
The value of the expression when [tex]m = 3.48[/tex] and [tex]b = 96.52[/tex] is 323.779.
Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each side of the square in centimeters? Use complete sentences to explain your reasoning.
Answer: approximately 10.8 centimeters
Step-by-step explanation:
We have a square, where each side measures approx. 4.25 in
Now we know that 1in ≈ 2.54 cm
Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm
So the approximate measure of the sides in centimeters is:
4.25*(2.54)cm = 10.8 cm
So we have that each side measures approximately 10.8 centimeters
Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?
F + V = E + 2
SolutionF = 9V = 14E = ?Substuting the values⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
The number of edges of a polyhedron with 9 faces and 14 vertices have will be 21.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
here, we have,
Using Euler's formula, the number of the edges does a polyhedron with 9 faces and 14 vertices have
We know the formula for the edges of the polyhedron will be
By Euler's Formula
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
Solution
F = 9
V = 14
E = ?
Substuting the values
⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ2
Gail bought 5 pounds of oranges and 2 pounds of bananas for $14. Her husband later bought 3 pounds of oranges and 6 pounds of bananas for $18. What was the cost per pound of the oranges and the bananas?
Answer:
1 pound of Oranges = $2
1 pound of Bananas = $2
Step-by-step explanation:
O = Oranges
B = Bananas
=> 5o + 2b = 14
=> 2b = 14 - 5o
=> b = 14/2 - 5/2o
=> b = 7 - 2.5o
3o + 6b = 18
=> 3o + 6( 7 - 2.5o ) = 18
=> 3o + 42 - 15o = 18
=> -12o + 42 = 18
=> -12o = -24
=> -o = -2
=> o = 2
One pound of oranges costs $2.
So,
5 (2) + 2b = 14
=> 10 + 2b = 14
=> 2b =4
=> b = 2
One pound of bananas also costs $2.
How many prime numbers are there between 1 to 100? a) 17 b) 25 c) 32 d) None of these
Answer:
b)25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
how many 50 cents coins are there in $10:50
Question:- how many 50 cents coins are there in $10.50
Answer:-
Total amount-> $ 10.50
So amount in cents
$ 1 is equal to 100 cents
$10.50 is equal to 1050 cents
According to the question
[tex]Number \: of \: the \: 50 \: cents= \frac{ Total \: cents}{ 50 \: cents } \\ [/tex]
[tex]Number \: of \: the \: 50 \: cents = \frac{1050}{50} \\ Number \: of \: the \: 50 \: cents = 21 \: [/tex]
Factor.
x2 – 5x - 36
(x - 9)(x + 4)
(x - 12)(x + 3)
(x + 9)(x - 4)
(x + 12)(x - 3)
Answer:
The answer is option AStep-by-step explanation:
x² - 5x - 36
To factor the expression rewrite -5x as a difference
That's
x² + 4x - 9x - 36
Factor out x from the expression
x( x + 4) - 9x - 36
Factor out -9 from the expression
x( x + 4) - 9( x+ 4)
Factor out x + 4 from the expression
The final answer is
( x - 9)( x + 4)Hope this helps you
Answer:
[tex] \boxed{(x - 9) \: (x + 4) }[/tex]
Option A is the correct option.-
Step-by-step explanation:
( See the attached picture )
Hope I helped!
Best regards!
5,829 in expanded form
Answer:
5,000 + 800 + 20 + 9
Step-by-step explanation:
The definition of expanded form is to "write the value of each digit then add them together to find the sum." - study.com
That is exactly what we did above.
If we write it going up and down like below, we can pull the individual values:
5 000
8 00
2 0
9
I hope this helps!
Jane and her two friends will rent an apartment for S550 a month, but Jane will pay double what each friend does because she will have her own bedroom.
How much will Jane pay a month?
Answer:
$275 a month
Step-by-step explanation:
Let x represent how much each friend is paying.
The amount Jane pays can be represented by 2x, since she is paying double than her friends.
Add together these terms and set them equal to 550. Then, solve for x:
x + x + 2x = 550
4x = 550
x = 137.5
So, each friend is paying $137.50. Double this to find how much Jane is paying:
137.5(2)
= 275
So, Jane is paying $275 a month
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of -0.12. See the figure below. There is $28.96 in credit remaining on the card after minutes of calls. How much credit was there after 21 minutes of calls?
Answer:
Credit remaining after 21 minutes = $30.4
Step-by-step explanation:
Credit remaining on a phone card is a linear function of the total calling time.
When graphed, let the linear function representing the line is,
y = mx + b
Where 'm' = slope of the line
b = y-intercept
From the graph,
Slope of the line = -0.12
y = -0.12x + b
If this line passes through a point (33, 28.96),
28.96 = -0.12(33) + b
b = 28.96 + 3.96
b = 32.92
Therefore, the linear function is,
f(x) = -0.12x + 32.92
where x = calling time
Credit left in the card after 21 minutes,
f(21) = -0.12(21) + 32.92
= -2.52 + 32.92
= $30.4
In the figure below.. Please help!!!
====================================================
Explanation:
Both AB and XY are the first two letters of ABC and XYZ respectively. So we have one fraction of AB/XY = 2/7.
AC and XZ are the first and last letters of ABC and XYZ respectively. We can form another fraction AC/XZ. I'm dividing in the same order of small over large to keep things consistent. As you can probably guess, the order of the letters ABC and XYZ are important so we see how the angles match up and how the proportional sides match up.
Because the triangles are similar, the two fractions formed earlier are equal to one another.
The equation we need to solve is AB/XY = AC/XZ
-----
AB/XY = AC/XZ
2/7 = 3/N ... plug in given values
2N = 7*3 .... cross multiply
2N = 21
N = 21/2 .... divide both sides by 2
N = 10.5
ZX is 10.5 units long.
AB||CD. Find the measure of
Answer:
135 degrees
Step-by-step explanation:
3x+15 = 5x - 5 because of the alternate interior angles theorem.
20 = 2x
x = 10
3(10) + 15 = 30+15 = 45
Remember that a line has a measure of 180 degrees. So we can just subtract the angle we found from 180 degrees to get BFG.
180-45 = 135.
Find the slope of the line containing the points (-2, -8) and (6,-4).
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the following formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (6 , -4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-8)}{6 - (-2)} = \frac{-4 + 8}{6 + 2} = \frac{4}{8}[/tex]
Simplify the slope:
[tex](\frac{4}{8} )/(\frac{4}{4}) = \frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex] is your answer.
Point R divides PG in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q
Answer:
option C . 5
Step-by-step explanation:
For two points (x1,y1) and (x2,y2) divided by a point p in ratio m:n then coordinates of that point is given by
p : (nx1+mx2)/(m+n), (ny1+my2)/(m+n),
Given
x coordinate of P (-3)
x coordinate of Q (a) since we have to find it , let it be a
x coordinate of R(-1)\
ratio = 1:3
_______________________________________
Using the above formula to find the point of division
we can get value of x coordinate for point Q
x coordinate of R = 3*-3 + 1*a/(1+3)
-1 = (-9 + a)/4
=> -4 = -9 +a
=>a = -4+9 = 5
Thus, x coordinate of Q is 5
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
D. 72 heads in 100 flips
Step-by-step explanation:
A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...
A: 0.0625
B: 0.04395
C: 0.15498
D: 3.9×10^-6
__
It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.
Find the missing side or angle.
Round to the nearest tenth.
Answer:
a = 4.1Step-by-step explanation:
To find the missing side in the question, we use the cosine rule
That's
Since we are finding a we use the formula
a² = b² + c² - 2(b)(c) cos AFrom the question
b = 2
c = 4
A = 78°
Substitute the values into the above formula
We have
a² = 2² + 4² - 2(2)(4) cos 78
a² = 4 + 16 - 16 cos 78
a² = 20 - 16cos 78
a² = 16.67341
Find the square root of both sides
a = 4.0833
We have the final answer as
a = 4.1 to the nearest tenthHope this helps you
two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.
Answer:
Step-by-step explanation:
Let v be the speed of the slower car
2v is the speed of the faster car
In 2 hrs, the slower car travels a distance of
2 hr(v km/hr) = 2v km
In 2 hrs, the faster car travels a distance of
2 hr(2v km/hr) = 4v km
2v + 4v = 300
6v = 300
v = 50 km/hr
2v = 100 km/hr
Solve this inequality: x+ 4< 16
Answer:
x < 12
Step-by-step explanation:
subtract 4 from both sides:
x + 4 < 16
- 4 -4
x < 12
Answer:
x<4
Step-by-step explanation:
x+4 <16
x < 16
4
x<4
I hope this will help you
The height of an object dropped from the top of a 144-foot building is given by ℎ(. How long will it take the object to hit the ground?)=―162+144
Answer:
Step-by-step explanation: h(t) = -16t2 + 144
h(1) = -16(12) + 144 = 128 ft
h(2) = -16(22) + 144 = 80 ft
h(2) - h(1) = 80 - 128 = -48 ft
It fell 48 ft between t = 1 and t = 2 seconds.
It reaches the ground when h(t) = 0
0 = -16t2 + 144
t = √(144/16) s = 3s
It reaches the ground 3s after being dropped.
Which transformation maps the pre-image to the image?
dilation
reflection
rotation
translation
Answer:
Reflection
Step-by-step explanation:
Because reflecting yourself in a mirror means pre image to image
Answer:
Step-by-step explanation:
dilation
line and passes through C -2,0 in the 1, -3) Quetion of the line in standard form
Answer:
[tex]\huge\boxed{x+y=-2}[/tex]
Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-2, 0) and (1, -3).
Substitute:
[tex]x_1=-2;\ y_1=0;\ x_2=1;\ y_2=-3[/tex]
[tex]m=\dfrac{-3-0}{1-(-2)}=\dfrac{-3}{1+2}=\dfrac{-3}{3}=-1\\\\y-0=-1(x-(-2))\\\\y=-(x+2)[/tex]
[tex]y=-x-2[/tex] add x to both sides
[tex]x+y=-2[/tex]
2000 2yrs at 2% How much interest is owed
Answer:
Rs. 80 is owed.
Step-by-step explanation:
Principle (P) = 2000
Time (T) = 2 years
Rate (R) = 2%
Interest (I) = ?
Here,
I = (P×T×R) / 100
= (2000×2×2) / 100
= (8000) / 100
= Rs. 80
Answer:
P= 2000
T= 2
R=2÷100
I = PTR
= 2000×2×2÷100
2÷100=0.02
2000×2×0.02= 80
So i is 80
Which set of values could be the side lengths of a 30-60-90 triangle?
O A. {6,613, 12)
O B. {6, 12, 12.3}
O C. {6,6.12, 12}
O D. {6, 12, 12/3)
Answer:
I think :
c is 30 triangle
b is 60 triangle
d is 90 triangle
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; p and q unknown
Answer:
The minimum sample size is [tex]n = 2123[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.028[/tex]
Given that the confidence level is 99% then the level of significance is evaluated as
[tex]\alpha = 100 - 99[/tex]
[tex]\alpha = 1 \%[/tex]
[tex]\alpha =0.01[/tex]
Next we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table
The value is [tex]Z_{\frac{ \alpha }{2} } = 2.58[/tex]
Now let assume that the sample proportion is [tex]\r p = 0.5[/tex]
hence [tex]\r q = 1 - \r p[/tex]
=> [tex]\r q = 0.50[/tex]
Generally the sample size is mathematically represented as
[tex]n =[ \frac{Z_{\frac{ \alpha }{2} }}{ E} ]^2 * \r p * \r q[/tex]
[tex]n =[ \frac{2.58}{ 0.028} ]^2 * 0.5 * 0.5[/tex]
[tex]n = 2123[/tex]
Give examples of two variables that have a perfect positive linear correlation and two variables that have a perfect negative linear correlation.
Answer:
answer below
Step-by-step explanation:
1. price per gallon of gasoline and total cost of gasoline
2. distance from a door and height of a wheelchair ramp
perfect positive linear relationship:
this is a relation that exists between two variables. The pearson correlation is used to check this relationship and if the relationship is 1.0 then it is established that a positive linear relationship exists
negative linear relationship
this is a relationship between variables where the pearson correlation is less than 0. if the value is -1.0 then a negative linear relatioship exists.
price per gallon of gasoline and total cost of gasoline move in the same direction so it is positive.
distance from a door and height of a wheelchair ramp are negative because they do not move in the same direction.
A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. Social Activity Education Above Average Average Below Average College 30 20 10 High School 20 40 90 Grade School 10 50 130 Using 0.05 as the significance level, what is the critical value for the test statistic
Answer:
9.488
Step-by-step explanation:
The critical value is found by first assessing which statistical test should be used.
We are interested in investigating relationship between social activity and education so chi-square test would be appropriate.
We have 3 rows and 3 columns. The degree of freedom for chi-square critical value is (r-1)(c-1)=(3-1)(3-1)=2*2=4
Chi-square critical value(0.05,4)= 9.488