Answer:
d. The average amount of weight loss is greater than 2.5 pounds.
Step-by-step explanation:
After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds.
At the null hypothesis, we test if this mean is of 2.5, that is:
[tex]H_0: \mu = 2.5[/tex]
A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss.
With the additional weight loss, the dietitian claims that the mean is more than the value presented at the null hypothesis, that is, more than 2.5, and thus, the correct answer is:
[tex]H_1: \mu > 2.5[/tex]
And thus, the correct option is given by option d.
Which function has a greater rate of change?
Answer:
A
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
it’s a
PLEASEEEE HELP!DUE IN 1 HOUR! A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $3000 when sold. A ranch-style house requires $40,000 of capital and provides an $7000 profit. If the contractor has $3.8 million of capital on hand, how many houses of each type should she build for maximum profit?
Answer:
Step-by-step explanation:
A housing contractor has subdivided a farm into 100 building lots. She has designed two types of homes for these lots: colonial and ranch style. A colonial requires $30,000 of capital and produces a profit of $2000 when sold. A ranch-style house requires $40,000 of capital and provides an $8000 profit. If the contractor has $3.2 million of capital on hand, how many houses of each type should she build for maximum profit?
? colonials
? ranches
For maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses. The maximum profit achievable is $740,000.
Let x be the number of colonial houses built.
Let y be the number of ranch-style houses built.
Now, we can set up the objective function, which represents the total profit:
Total Profit (P) = 3000x + 7000y
The total cost of the houses built cannot exceed the available capital, which is $3.8 million (or $3,800,000):
30,000x + 40,000y ≤ 3,800,000
The number of building lots used cannot exceed the total number of lots available, which is 100:
x + y ≤ 100
Also, we need to consider that the number of houses (x and y) must be non-negative:
x ≥ 0
y ≥ 0
Now, we have the linear programming model with the objective function and constraints.
We need to find the values of x and y that maximize the total profit (P).
Graph the feasible region determined by the constraints (x + y ≤ 100, x ≥ 0, y ≥ 0, 30,000x + 40,000y ≤ 3,800,000), and then evaluate the objective function (P = 3000x + 7000y) at each corner point of the feasible region to find the maximum profit.
The feasible region is a polygon with vertices at the following points:
(0, 0)
(0, 95) (Intersection of x = 0 and y = 95)
(80, 20) (Intersection of x = 80 and y = 20)
(100, 0) (Intersection of x = 100 and y = 0)
Now, evaluate the objective function (P) at each corner point:
(0, 0): P = 0
(0, 95): P = 665,000
(80, 20): P = 740,000
(100, 0): P = 300,000
The maximum profit of $740,000 occurs when the contractor builds 80 colonial houses and 20 ranch-style houses
Hence, for maximum profit, the contractor should build 80 colonial houses and 20 ranch-style houses.
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X^3+3x^2-19/x-2
Find the quotient and remainder using synthetic division:
The quotient is
The remainder is
Submit Question
Step-by-step explanation:
x³ + 3x² - 19 ÷ x - 2 = x² + 5x + 10 rem 1
x³ - 2x²
5x² - 19
5x² - 10x
10x - 19
10x - 20
1
The quotient is ⇒ x² + 5x + 10 The remainder is ⇒ 1Answer:
quickly:
x-2=0 x^3+3x^2-19
x=0+2 = 2^3+3(2)^2-19
x=2 = 8+6^2-19
=8+36-19
=42-19
=23
The remainder is 23
Question
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.
a. Write an expression in simplest form that represents the difference between the number of subscriptions your friend has sold and the number you have sold.
b. After 5 weeks, your friend has sold
more subscriptions than you.
Answer:
Your friend sold (5w + 1) subscriptions.
You sold (3w + 4) subscriptions.
The difference between what your friend sold and what you sold is
(5w + 1 ) - (3w + 4)
= 5w + 1 - 3w - 4
= 5w - 3w + 1 - 4
= 2w - 3
Answer: 2w - 3
If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.
Brainliest plz
Solve for x, rounding your answer to two decimal places.
х=log,75
Answer:
x=1.88
Step-by-step explanation:
what is 2 equivalent fractions of this 2/5=_=_
Answer:
4/10, 6/15, 120/300, etc.
Equivalent fractions can be anything, as long as they divide to .4 (2/5).
Basically any equivalent fraction
[tex]\frac{2*n}{5*n}[/tex]
with n as any integer, is an equivalent fraction to 2/5 since
[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]
Solve for t
The equation is in the photo
Answer:
[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]
Step-by-step explanation:
[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]
The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.
Answer:
0.00714285 less per foot
Step-by-step explanation:
state whether each of the following equations represent growth or decay.
Answer:
answer below
Step-by-step explanation:
f(x) = a* bˣ
if a>0 and b>1 : growth
if a>0 and 0<b<1 : decay
5) 7) 9) : growth
6) 8) 10) : decay
When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.
Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.
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A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?
Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Step-by-step explanation:
Answer:
705.8823529411765
Step-by-step explanation:
You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765
Which sign makes the statement true?
A. <
B. >
C. =
i need help on this asap pls help??
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
You start at (-4, -1). You move up 2 units and right 6 units. Where do you end?
Answer:
(2, 1)
Step-by-step explanation:
-4 + 6 = 2
-1 + 2 = 1
X and Y become positive by going up and right
Answer:
(2, 1 )
Step-by-step explanation:
A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.
A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.
(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )
Rewrite in standard form.
4y = 3 - 4/5x
Answer:
−17x+10y=3
Step-by-step explanation:
Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
Driving at a constant rate, Dan traveled 310 miles in 5 hours. If he drives at the same speed, how far will Dan travel in 8 hours?
According to the amount he drove in 5 hours, he drove an average of 62 MPH. If he continued to drive at this speed for 8 hours, he would travel 496 miles.
Suppose the regression line for the number of runs scored in a season, y , is given by ˆy=−790+5400x , where x is the team's batting average. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. If we can expect the number of runs scored in a season is 400, then what is the assumed team's batting average? Round your answer to three decimal places.
Answer:
479 = expected runs
0.220 = assumed batting average
Step-by-step explanation:
ˆy=−790+5400x
For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get
-790 + 5400 * 0.235 = 479
If ˆy = 400, we have to calculate x. Plug 400 in for y in our equation to get
400 = -790 + 5400x
add 790 to both sides to isolate the x and its coefficient
1190 = 5400x
divide both sides by 5400 to solve for x
x= 0.220
SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.
Answer:
158.4
Step-by-step explanation:
Not graded help please
help please its overdue
Answer:
B) 4cm
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}
Step 1
Step 2
Step 3
Step 4
Step 5
93
×51
3
90
150
+4,500
4,743
1×3 ones
1×9 tens
50×3 ones
50×9 tens
Since molly's solution tally's with the given solution, hence Molly's solution is correct.
Given the working on a partial product of 93 and 51 carried out by Molly as shown:
[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}[/tex]
This partial product can also be solved as shown below:
[tex]93 \times 51 = (90+3)\times (50+1)[/tex]
Applying the distributive law:
[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]
Since molly's solution tally's with the given solution, hence Molly solution is correct.
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You are dealt one card from a 52-card deck. Find the probability that you are not dealt a black picture card.
Answer: 1 in 51
Step-by-step explanation:
Answer:
23/26
Step-by-step explanation:
A standard deck of cards has 52 cards.
The cards are divided into 13 cards of each of 4 suits.
2 suits are black and 2 suits are red.
Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.
The total number of cards in a deck is 52.
52 - 6 = 46
There are 46 cards that are not black suit cards out of 52 total cards.
p(not black face card) = 46/52 = 23/26
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
Gary weighed 187 pounds after graduating
high school. 5 years later he weighs 228
pounds. By what percentage has his weight
changed?
Plz helppppppp
eat chili snacks and spicy to burn fat
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his stock in Company B was worth $3500. The stock in Company A has increased 7% since last year and the stock in Company B has increased 1%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). pls asap
Answer:
4.9%
Step-by-step explanation:
6600 * 107/100 = 66*107 = 7062.
3500 * 101/100 = 35x101 = 3535
7062+3535=10597. Original worth: 10100
10597-10100 = 497
497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%
arithmetic sequence, help with #18 plz
Answer:
15th term is 29/4
Use Arithmetic equation
a1 = 1/4
d= common difference = 2/4
a15 = a1 + (n-1) d
a15 = 1/4 + (15 - 1) 2/4
a15 = 1/4 + 14 (2/4)
a15 = 1/4 + 7
a15 = 29/4 or 7 1/4
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
Select the correct answer from each drop-down menu.
What is the seventh step in the accounting cycle?
The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the adjustments made in the .
Answer: The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the Journaling adjustments made in the Worksheet (Trial Balance).
Step-by-step explanation:
The steps of the cycle in this course are as follows:
1. Analyze Financial Transactions
2. Journal Transactions
3. Post Journal Entries to Ledger
4. Prepare Trial Balance
5. Make Adjustments to Trial Balance
6. Journal Adjustments and Create Adjusted Trial Balance
7. Prepare Financial Statement
8. Journal and Post Closing Entries
9. Prepare Posting Closing Trial Balance
Accountants love to make up new words and make it complicated so they can get paid more, hence why the swapped the word 'Worksheet' with 'Trial Balance' :p
what is the value of x in m(x+n)=n
Answer:
open the brackets
mx+mn=n
mx=n-mn
since we want to know the value of x , then we divide both sides with m ,thus giving us
x=n/m - n
Answer:
x = [tex]\frac{n-mn}{m}[/tex]
Step-by-step explanation:
m(x + n) = n ← distribute parenthesis on left side by m
mx + mn = n ( subtract mn from both sides )
mx = n - mn ( isolate x by dividing both sides by m )
x = [tex]\frac{n-mn}{m}[/tex]
Renee worked a total of 16 1/5 hours last week. She spent 1/3 of that time reviewing reports. How many hours did she spend reviewing reports?
Answer:
Step-by-step explanation:
First 1 ÷ 5 ×16
= 3.2
Then 3.2 × 1 ÷ 3
= 1.06
