Answer:
y = -1/4x - 3
Step-by-step explanation:
Halfway through would be:
(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)
The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.
That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.
Put this in point slope form with slope = -1/4 and point = (8, -5):
y + 5 = -1/4(x - 8)
y + 5 = -1/4x + 2
y = -1/4x - 3
what does 4n+3(n-5)+2 equal
Answer:
7n-13
Step-by-step explanation:
Simplify
4n+3(n-5)+2
4n+3n-15+2
Add The Numbers
4n+3n-15+2
4n+3n-13
Combine Like Terms
4n+3n-13
7n-13 Solution 7n-13
A simple random sample of 140 residents in a certain town was polled the week after the Super Bowl. 75 of them reported that they watched the game on TV. a) Construct the 95% CI for the proportion of people that watched Super Bowl. b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings
Answer:
a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).
b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.
Step-by-step explanation:
a) Construct the 95% CI for the proportion of people that watched Super Bowl.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
75 out of 140 watched the Super Bowl:
This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]
The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).
b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings
48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.
what is the value expression 26+22÷12 pls help me
Answer:
As a decimal : 27.833
As a fraction : 167/6
Step-by-step explanation:
26 + 22/12
=
26/1 + 22/12
=
26/1 + 11/6
=
156/6 + 11/6
156 + 11 / 6
=
167/6
or as a decimal 27.833
Hope this helps!
If a blue and a red dice are rolled, what is the probability of rolling a sum greater than 4?
Answer:
33/36 or 11/12
Step-by-step explanation:
Answer:
The "successful" rolls are 5 and 6. That's two out of six choices, so the probability is 2/6 or 1/3.
Step-by-step explanation:
Hope this helps!!! <3
I need to know this answer it’s very important. It’s on a test and if I don’t get an answer I’ll have to go to summer school!!!
The temperature was very cold.
Then the temperature tripled.
Then the temperature dropped by 14 degrees.
Then the temperature increased by 32 degrees.
The temperature is now 51 degrees.
What was the starting temperature?
Do NOT write degrees.
Answer:
51-32+14=33
33÷3=11
answer is 11
3. What is the value ofy?
A. 3
C. 6
B. 8
D. 12
Find the distance between the points (-5,5) and (-6,-4).
Answer:
distance = 9.06 units
Step-by-step explanation:
x difference = -1
y difference = -9
using the Pythagorean theorem:
-1² + -9² = d²
d² = 1 + 81 = 82
d = 9.06
Write the fraction 28 in its simplest form.
70
Answer: 2/5
Step-by-step explanation: 28/70 ÷ 12/12 = 2/5
The simplest form of the given fraction is 2 / 5
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given is a fraction, 28 / 70, we have to convert it into its simplest form,
28 / 70
= 2(14) / 5(14)
= 2 / 5
Hence, the simplest form of the given fraction is 2 / 5
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Solve the equation please
Answer:
y = 14
Step-by-step explanation:
| y + 3 | = 17
simplify:
y + 3 = 17
subtract 3 on both sides:
y + 3 - 3 = 17 - 3
y = 14
[tex] \frac{12x + 40}{8x} \div \frac{24x + 80}{8} [/tex]
what are the steps to solving this?
If 4^2x+1 = 4, then =
Step-by-step explanation:
step 1. what is the question? probably solve for x. okay.
step 2. 4^(2x) + 1 = 4
step 3. 4^(2x) = 3 subtract 1 from each side
step 4. ln4^(2x) = ln3 take on of each side
step 5. 2xln4 = ln3 definition of logs
step 6. 2x = ln3/ln4 divide both sides by ln4
step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2
step 8. x = ln3/4ln2.
ASAP - can someone please help me with this?
Answer:
It's point Q
Step-by-step explanation:
It because sqrt(10) = 3.16227 so the nearset point is point Q.
A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the tax proration between the buyer and seller using the 365 day method, the day of closing belongs to the buyer.
Answer:
The debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Step-by-step explanation:
The assignment of how much is owed to the responsible party is the major reason of a proration.
For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.
Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67
Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63
Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29
Therefore, the debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Daniel opened a savings account with $1600 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Daniel have in the account 25 weeks after opening the account?
A school needs to buy new notebook
and desktop computers for its
computer lab. The notebook
computers cost $400 each, and the
laptop
computers cost $150 each. How
much would it cost to buy 13
notebooks and 19 desktop
computers? How much would it cost
to buy
n notebooks and d desktop
computers?
Total cost, 13 notebooks and 19
desktop computers:
Total cost, n notebooks and d desktop
computers:
Answer:
so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9 different charms for your bracelet. What is the minimum number of unique charms that must be available if the jeweler wants to advertise that it offers over 30,000 different charm bracelets?
The minimum number of unique charms that must be available is 18
How to determine the minimum number of unique charms that must be available?The given parameters are
Offers = minimum of 30000
Different charms, r = 9
Represent the minimum number of unique charms that must be available with n
So, we have the following combination equation
nCr = Total offers
Apply the combination formula
So, we have
n!/(r!(n- r)!) = Total offers
Substitute the known values in the above equation
n!/(9!(n- 9)!) >= 30000
Multiply through by 9!
So, we have
n!/(n- 9)! >= 10886400000
Next, we divide the left-hand side by (n - 9)!
So, we have
n x (n - 1) x ..... x (n-8) >= 10886400000
Next, we continue solving by trial by error
After several trials, we have:'
n = 18
To check:
18 x (18 - 1) x ..... x (18 - 8) >= 10886400000
17643225600 >= 10886400000 --- true
Assume n = 17, we have
17 x (17 - 1) x ..... x (17 - 8) >= 10886400000
8821612800 >= 10886400000 --- false
Hence, the minimum number of unique charms that must be available is 18
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my work is down below.Please answer it!
Answer:
1. A≈ 78.54
2. A≈201.06
Step-by-step explanation:
1) A=πr2=π·52≈78.53982
2)
A=1
4πd2=1
4·π·162≈201.06193
lan makes 60 cakes.
He gives à of the cakes to Helen.
He gives 20% of the 60 cakes to Sue.
What fraction of the 60 cakes does he have left?
Answer:
4/5
Step-by-step explanation:
there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5
solve for X
please answer will give brainliest!!!
it cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
Could you please give me the equation and show me how you got it please so I could understand... thanks.
Answer:
8.75
Step-by-step explanation:
if a bottle of 150 vitamins is 5.28...then that of 250 vitamins
x is the value of a single vitamin, therefore
5.25- 150
x- 1
150x divide by 5.25=0.035
therefore 250*0.035= 8.75
weeeeeeeeeeeeeee3seeeeeeehehejdurut
Answer:
huh....is there a problem
......are you good-?
Please help I put a screenshot of the assignment
Answer:
78.5ft^2
Step-by-step explanation:
calculations done on a calculator
Answer:
78.5
Step-by-step explanation:
4 x 2.5 = 10 ft
4.5 x 2.5 = 11.25
4.5 x 4 = 18
18 + 10 + 11.25 = 39.25
39.25 x 2 = 78.5
Find the measure of:
Answer:
4.8x10
Step-by-step explanation:
The sum of two consecutive integers is three times their difference. what is the larger number?
Answer:
[tex]\huge\boxed{2}[/tex]
Step-by-step explanation:
In order to find the two consecutive numbers, we have to note that a consecutive number is one that is just after the previous.
Such: 4, 5, 6 are consecutive. 12, 69, 42 are not.
Therefore - we can represent our first number as [tex]x[/tex] and our second as [tex](x+1)[/tex].
Let's make an equation based on the problem.
"The sum of two consecutive integers"
[tex]x + (x+1)[/tex]"3 times their difference"
[tex]3(x - (x+1))[/tex]We can now set these equal to each other.
[tex]x + (x+1) = 3(x - (x+1))[/tex]Let's solve for x.
[tex]2x + 1 = 3(1)[/tex] (Combine like terms) [tex]2x+1=3[/tex] (Multiply the right side) [tex]2x = 2[/tex] (Subtract 1 from both sides) [tex]x=1[/tex] (Divide both sides by 2)Now we know that our first number is 1. Therefore, since our second number is one greater, our second number will be [tex]1+1=2[/tex].
The question asks for the larger number. 2 is larger than 1, therefore 2 is our answer.
Hope this helped!
When you factor a trinomial, you are undoing what process?
Answer:
you would be undoing the FOIL process
Determine the measure of angle C using a trigonometric ratio.
Answer:
34.836
Step-by-step explanation:
sin(C)=opp/hyp=16/28=4/7
C= inverse sin = 34.836 deg
The angle of the right-angled triangle using trigonometric ratio is 34.84°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The diagram shows the right-angled triangle.
The hypotenuse side, h = 28
The perpendicular side, p =16
The trigonometric ratio that relates hypotenuse side and the perpendicular side is sine θ.
[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]Sine\theta = \frac{16}{28}[/tex]
⇒ [tex]Sine \theta=0.5714[/tex]
⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]
⇒ [tex]\theta = 34.84[/tex]
Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.
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What is the approximate monthly payment on a 3 year loan at 10% on a principal of $5,000
Answer:
161.34
Step-by-step explanation:
Answer:
$166.66
Step-by-step explanation:
d33znuts
what is the opposite of –|−8|?
Answer:
it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%
Answer:
|8|
Step-by-step explanation:
that is your answer :D
The solids are similar. Find the missing dimension.
Answer:
i need the picture
Step-by-step explanation:
To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.