Answer:-7^2(negitive seven to the second power)
Step-by-step explanation:
-3a - 4(a - 6) = 24 - 7a
Solve the equation
Thanks
-3a-4(a-6)=24-7a
-3a-4a+24=24-7a
-7a+24=24-7a
-7a+24=-7a+24
-7a+24-24=-7a+24-24
Simplify
Subtract the numbers
Subtract the numbers
−7a=-7a
Add 7a to both sides of the equation
-7a+7a =-7a+7a
Simplify
Combine like terms
Combine like terms
0=0
answer is 0=0
Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?
Step-by-step explanation:
1.
the null hypothesis:
H0: u = 8 hours ( new Yorkers sleep for 8 hours)
The alternate hypothesis;
H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)
b.
test statistic
t = (barX - u)/s/√n
= 7.73-8/0.77/√25
= -1.7532
degree of freedom = n-1
= 25-1 = 24
c.
p(value)
= p(t < -1.7532)
= 0.046
obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.
d
The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.
e.
at 90% level of confidence
we have
7.73-0.26334, 7.73+0.26334
= 7.466, 7.993
please check attachment
thank you!
Please help & thank you.
Answer:
2). 79°; 3). 65°; 4). 45°; 5) 73°
Step-by-step explanation:
m∠4 = 180° - (70° + 65°) = 45°
m∠3 = 180° - (45° + 70°) = 65°
m∠2 + m∠3 = 180° - 36° = 144°
m∠2 = 144° - 65° = 79°
m∠5 = 118° - m∠4 = 118° - 45° = 73°
A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *
Answer:
1.4 inches.
Step-by-step explanation:
Given that the length of the pool = 200 ft.
Scale factor = 1725.
As,
[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]
So,
[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]
By using the given values, we have
{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]
As 1 foot = 12 inch,
So, scaled length = 0.116 x 12 = 1.4 inches.
Hence, the scale length of the model = 1.4 inches.
For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5
Answer:
the answer is b
Step-by-step explanation:
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z
Answer:
5
Step-by-step explanation:
12 x - 3y / 4 x - Z
=12×3-3×1/3÷4×3-5
=36-1/12-5
=35/7
=5
So the final answer is 5.
(39×5) to siplifiy please help
Answer:
195
Step-by-step explanation:
you just muliply
Answer:
The answer is 175! :)
I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))
Step-by-step explanation:
The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.
Answer:
the rise is 6 and the run is 7. the rate of leaking per minunte is about .8 gallons per minute
Step-by-step explanation:
i think its right this time
A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?
Answer:
slope= -1
y-intercept is 6
Step-by-step explanation:
slope = y2-y1/ x2-x1
slope = 6-8/ 0-(-2) = -1
y-intercept is 6 because of (0,6), where the points cross y-axis
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
You have a garden row of 20 watermelon plants that produce an average of 30 watermelons apiece. For any additional watermelon plants planted, the output per watermelon plant drops by one watermelon. How many extra watermelon plants should you plant?
Answer: You should plant another 25 watermelons.
Step-by-step explanation:
The total number of watermelons can be calculated as:
W = (20 + x)*(30 - x)
x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.
We want to maximize this equation, so let's distribute the product.
W = 600 + 30*x + 20*x - x^2
W = 600 + 50*x - x^2
Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.
To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:
W'(x) = dW/dx = 50 - 2*x
W'(x) = 0 = 50 - 2*x
2*x = 50
x = 50/2 = 25.
Then the maximum output will be if you plant 25 more watermelon plants.
And this will be:
W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons
You should plant 5 extra watermelon plants to maximize production.
Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:
20 x 30 = 600 24 x 26 = 624 25 x 25 = 625 26 x 24 = 624
Therefore, you should plant 5 extra watermelon plants to maximize production.
Learn more in https://brainly.com/question/2173344
Can anyone help me with this i need help quick
Answer:
C
Step-by-step explanation:
y=mx+n m is slope if slopes are perpendicular m1.m2=-1
(2/3) . (-3/2) = -1
m1=2/3
m2=-3/2
y=(2/3)x-3 m=2/3 n= -3
y=(-3/2)x+2 m = -3/2 n = 2
Find the missing measure and write your solution on the blank provided
Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.
Answer:
First multiply each brackets
90-60
30
Step-by-step explanation:
Answer:
9 x 3= 27 and 30 + 30= 60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.
Step-by-step explanation:
Hope that answers your question!
Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
Sorry I cant help
Step-by-step explanation:
Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.
After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.
A 2.2 hours
B 6.3 hours
C 12.1 hours
D 12.5 hours
Answer:
A 2.2
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
An employee at a construction company is ordering interior doors for some new houses that are being built. There are 2 one-story houses and 4 two-story houses on the west side of the street, which require a total of 64 doors. On the east side, there are 5 one-story houses and 4 two-story houses, which require a total of 88 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?
Each one-story house has
doors, and each two-story house has
doors.
Answer: This is a system of equations, let's set it up. I set the variable for 1 story houses to x and 2 story houses to y. Here are the two equations:
6x + 2y = 72
5x + 7y = 124.
Now we multiply the equations so that when we add them together one of the variables will be cancelled out. I am going to multiply the top equation by 7 and the bottom equation by -2. This gives us
42x + 14y = 504
-10x -14y = -248
Add the two equations together:
32x = 256
Divide by 32 to get x = 8. The one story houses have 8 doors. We can plug this number into one of the original equations and solve for y now. I'm going to use the first equation.
(6*8) + 2y = 72
Now we solve for y
y = 12 So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.
Manny must choose between a pack of four 6.5-ounce containers of yogurt for $3.61 or three 8-ounce containers at $1.27 each. Which is the better buy? Complete the explanation. If necessary, round to the nearest cent.
Answer: Three-8 ounce containers
Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers
4 x 3.77 divided by 0.6= $15.08
I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4
Answer:
I dont know im in middle school can you please giva me one i have to get my grades up
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
3
5
(1)
4
(25)
=
3
5
4
(25)
=
3
20
(25)
=
15
4
C(5,-5),D(5,3) what is the distance between the points
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?
Complete Question
What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)
A 0.8531
B 0.1468
C 0.9332
D 0.0668
Answer:
The correct option is A
Step-by-step explanation:
Generally from the z table the area under the normal curve to the left corresponding to 1.05 is
[tex]P(Z < 1.05) = 0.8531[/tex]
5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions
5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions
What is the value of 15/2+I?
Answer:
First, make the denominators
15/2+2/2
Then, add
17/2
If you want it in decimal points
8.5
Step-by-step explanation:
I hope I explained well, please give me brainliest
PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?
Answer:
= 59 - (59*0.07)
= 59 - 4.13
= 54.87
Answer:
The result would be 54.87
Steps for solving rational equations
Answer:
1. Find the common denominator.
2. Multiply everything by the common denominator.
3. Simplify.
4. Check the answer(s) to make sure there isn't an extraneous solution.
Step-by-step explanation:
Hope this helps!
The steps for solving rational equations will be to take common factors and simplify the equation.
What are the steps for solving rational equations?A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.
The steps are given below.
Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.The steps for solving rational equations will be to take common factors and simplify the equation.
More about the steps for solving rational equations link is given below.
https://brainly.com/question/27230278
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Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20
What is the inequality of y-2x<=-3
Find (fog)(x).
f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????
Answer:
[tex](fog)(x)=6x+18[/tex]
Step-by-step explanation:
We are given:
f(x)=6x
and g(x)=x+3
We need to find (fog)(x)
(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e
[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]
So, [tex](fog)(x)=6x+18[/tex]
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/b