Answer:
504 miles
Step-by-step explanation:
you would do 756÷12 which equals 63.... For every hour that you drive its 63 miles. Then you do 63×8 to get 504
Which of the following represents the solution for the inequality 4x ≤ 2(x + 3) + 4?
Answer:
A.
Step-by-step explanation:
In a 7th grade class, the ratio of boys to girls is 3 : 2. How many boys and how many girls could be in the class? Make sure the class has 30 students or less.
Among 2450 randomly selected male car occupants over the age of 8, 76% wear seatbelts. Among 2900 randomly selected female car occupants over the age of 8, 74% wear seat belts. Use a 0.1 significance level to test the claim that both genders have the same rate of seat belt use. Does there appear to be a gender gap?
a. There appears to be a gender gap because there is not a significant difference in the proportions.
b. There does not appear to be a gender gap because there is a significant difference in the proportions.
c. There does not appear to be a gender gap because there is not a significant difference in the proportions.
d. There appears to be a gender gap because there is a significant difference in the proportions.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size for male car occupant is [tex]n_1 = 2450[/tex]
The number that wear seat belt is [tex]k_1 = \frac{76}{100} * 2450 = 1862[/tex]
The sample size for female car occupant is [tex]n_2 = 2900[/tex]
The number that wear a seat belt is [tex]k_2 = \frac{74}{100} * 2900 = 2146[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{x_1 + x_2 }{n_1 + n_2 }[/tex]
=> [tex]p = \frac{1862 + 2146 }{2450 + 2900 }[/tex]
=> [tex]p = 0.7492[/tex]
The sample proportion for male car occupant is
[tex]\^ p_1 = \frac{k_1}{n_1}[/tex]
=> [tex]\^ p_1 = \frac{1862}{2450}[/tex]
=> [tex]\^ p_1 = 0.76[/tex]
The sample proportion for female car occupant is
[tex]\^ p_2 = \frac{k_2}{n_2}[/tex]
=> [tex]\^ p_2 = \frac{2146}{2900}[/tex]
=> [tex]\^ p_1 = 0.74[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1 -p )}{ n_1 + n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{0.7492 (1 -0.7492 )}{ 2450 + 2900} }[/tex]
=> [tex]SE = 0.005926[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p_1 - \^ p_2}{SE}[/tex]
=> [tex]z = \frac{0.76 -0.74}{0.005926}[/tex]
=> [tex]z = 3.37[/tex]
From the z table the area under the normal curve to the right corresponding to 3.37 is
[tex]P(Z > 3.37) = 0.00037584[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 3.37)= 2* 0.00037584 = 0.0007 5[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There appears to be a gender gap because there is a significant difference in the proportions
A) -60
B) -30
C) -10
D) 10
Answer:
B) -30
Step-by-step explanation:
multiply -20 by 3/2 to solve for x
It's not C, I took the test twice and C is wrong everytime.
Answer:
b
Step-by-step explanation:
Station One: Helena works for a publishing firm. She is considered an average typist and can
type 52 words/minute.If she continues at this rate, how many words would Helena type in 4
minutes?
Pls help;)))))))))))))))(
Answer:
Option 2)
Step-by-step explanation:
In a function, any number can be an x-coordinate only once.
Option 1) The 2 appears twice as x.
Option 2) All x-coordinates are different.
Option 3) The 2 appears twice as an x-coordinate.
Option 4) The 3 appears twice as an x-coordinate.
Answer: Option 2)
I neeeddddfd helpppppppppp
Answer: A 4/16
Step-by-step explanation:
4/16 = 1/4
5/20 = 1/4
the scatterplot below shows the number of hours that students read weekly and the number of hours that they spend on chores weekly
Answer:
C. In general, the number of hours of reading does not affect the number of hours used for chores.
Step-by-step explanation:
I just did this (edge) and got it right. hope this helps:)
Answer:
C. In general, the number of hours of reading does not affect the number of hours used for chores.
Step-by-step explanation:
sorry if im wrong
Carter's football team played 10 games this season. They won only 20% of their games. How many games did Carter's team lose?
Your answer:
A butcher has 3 pounds of ground beef that will be priced at $5.53 per pound. He divides the meat into
4 equal packages.
To the nearest cent, the price of each package is ?
Answer:
3 cents
Step-by-step explanation:
First you have to find the price of the 3 pounds of ground beef. Which is 3 • 5.53= 11,06 and then you are going to divide that by 4. Which is 11,06 ÷ 4 = 2,765
Describe the end behavior of each linear function
Answer:
?????????
Step-by-step explanation:
17
Select the correct answer.
It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he
room than Nikki takes if she works alone.
When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation:
+
= 40
Which value is a solution of the rational equation that must be discarded because of the context?
OA. x = 0
OB. x= -10
OC. X = -18
OD. x= -72
Reset
Next
tum. All rights reserved.
The value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10
The equation is given as:
[tex]\frac 1x + \frac{1}{x + 18} = \frac{1}{40}[/tex]
Take the LCM
[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]
This gives
[tex]\frac{2x + 18}{x(x + 18)} = \frac{1}{40}[/tex]
Cross multiply
[tex]40(2x + 18) =x(x + 18)[/tex]
Expand
[tex]80x + 720 =x^2 + 18x[/tex]
Collect like terms
[tex]x^2 + 18x - 80x -720 = 0[/tex]
[tex]x^2 - 62x -720 = 0[/tex]
Using a graphing calculator, we have:
[tex]x = 72\ or\ x =-10[/tex]
The value of x cannot be negative, because of the context.
So, the value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10
Read more about rational equations at:
https://brainly.com/question/18446103
Answer:B- X = -10
Step-by-step explanation:
Can anyone help me with this the last answer choice is wrong
Answer:
It's the 2nd one
Step-by-step explanation:
Answer:
Step-by-step explanation:
for all x>6
x-6>0
[tex]\frac{6x-x^2}{x^2-4x-12} \\=\frac{-x(x-6)}{x^2-6x+2x-12} \\=\frac{-x(x-6)}{x(x-6)+2(x-6)} \\=\frac{-x(x-6)}{(x-6)(x+2)} \\=\frac{-x}{x+2} \\by~dividing~by~x-6[/tex]
Solve for x L
(1 Point)
x + 18 = 64
Answer:
x = 46
Step-by-step explanation:
64-18=46
Answer:
x=46
Step-by-step explanation:
Subract the 18 from both sides, canceling the 18 from the 'x + 18' and leaving you to subtract 18 from 64, resulting in 46.
The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?
Answer:
52
Step-by-step explanation:
78 divided by 3 is 26
26 times 2 is 52
WILL GIVE BRAINLIEST
Answere:
its black
Step-by-step explanation:
black is better and im right
What is the equation of the line that passes through the point (5, -6)
and has a slope of –3/5?
Answer:
y = -3/5x - 3
Step-by-step explanation:
the measure of angle JKM=?
the measure of angle JMK=?
Answer:
JKM = 36 degrees
JMK = 54 degrees
Step-by-step explanation:
Subtract right angle ( 90) from the 54 degress known and then you get 36 for JKM.
how many groups of 10 are combined in 2 and 20
Answer:
10 goes into 2, 1/5 times.
10 goes into 20, 2 times.
I hope this is good enough:
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the math team?
Answer:
Step-by-step explanation:
5:8
x = -11 + 7y
5x + 2y = -18
Answer:
x = -4
y = 1
(-4,1)
Step-by-step explanation:
x = -11 +7y
5x + 2y = -18
This is a Substitution problem, so you put x = -11+7y into 5x+2y = -18
5(-11 +7y)+2y = -18
5(-11) = -55
5(+7y) = 35y
-55+35y+2y = -18
Now you add 35y and 2y which gives you 37y
-55+37y = -18
Now you add +55 from -55 and -18
37y = 37
You divide each side by 37 so that y = 1
Now you plug y(1) into the equation x = -11+7y
x = -11+7(1)
-11+7 = -4
x = -4
The measure of an angle is 82 °. What is the measure of its complementary angle?
Answer
The answer will be 8⁰
Step-by-step explanation:
Complementary angles always add up to 90⁰ degrees
Answer:
8 degrees (see explanation below)
Step-by-step explanation:
A complimentary angle is when 2 angles are added together to make a 90 degree angle. So if the measure of the current angle is 82, then the other measure is 8.
Please help me out with this :)
Answer:
81[tex]x^{4}[/tex] + 216x³ + 216x² +96x + 16
Step-by-step explanation:
Using the binomial theorem
With coefficients from Pascal's triangle for n = 4
1 4 6 4 1
with decreasing powers of 3x from [tex](3x)^{4}[/tex] to [tex](3x)^{0\\}[/tex]
and increasing powers of 2 from [tex](2)^{0}[/tex] to [tex](2)^{4}[/tex]
Thus
[tex](3x+2)^{4}[/tex]
= 1[tex](3x)^{4}[/tex][tex](2)^{0}[/tex] + 4[tex](3x)^{3}[/tex][tex](2)^{1}[/tex] + 6(3x)²(2)² + 4[tex](3x)^{1}[/tex][tex](2)^{3}[/tex] + 1[tex](3x)^{0}[/tex][tex](2)^{4}[/tex]
=1.[tex]81x^{4}[/tex].1 + 4.27x³.2 + 6.9x².4 + 4.3x.8 + 1.1.16
= 81[tex]x^{4}[/tex] + 216x³ + 216x²+ 96x + 16
Which equation is the inverse of the function
CO B 2 ☺ ☺
g(n)= -5n+2
A) g - (n)
--n+
6
1
3
B) g(n) = 1+-n
2
2
C) g(n)= -1+2
3
5
D) g(n) = -51 + 19
4
a
b
Slope:
Y-Intercept:
Please help
Find x if a = 13 and C = 47.
Answer:45.167
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you don't have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)
daria invested $5,000 in an account that earns 5% interest annually. She will earn $(blank) in interest over nine months.
A. 5250.00
B. 1875.00
C. 250.00
D. 187.50
suppose the equation for line a is given by y=-3/4x-2. if line a and a line b are perpendicular and the point -4, 1 lies on line b then write an equation for line b
Answer:
y=4/3x+19/3
Step-by-step explanation:
perpendicular = slope is the negative reciprical.
plug in the point (-4,1) for (x,y)
1(y)=4/3(-4)+b
1=-16/3+b
b=19/3
(btw how is this college math?? Im in 7th and i did it last year ;-;)
So, the square root of 72 lies between the numbers which The number 72 lies between the perfect squares means the square root of 72 is v number
Answer: 64 and 81
Step-by-step explanation: I used my brain. :)
The number 72 lies between the perfect squares 64 and 81 . So, the square root of 72 lies between the numbers 7 and 8 , which means the square root of 72 is a rational number.
can you all like and 5 star, I would like to level up :)