Tublu buys a cylindrical water tank height 1.4 M and diameter 1.1 M to catch rainwater off his roof.
Complete Question:
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank(not the base). If he uses 250ml to cover 1m2, will he have enough paint to cover the tank with one layer of paint? Take pie as 3.142
Answer:
Yes. It will be enough to cover the tank with 1 layer of paint. The tank requires 1.21 liters of paint.
Step-by-step explanation:
Given:
Height of cylindrical tank (h) = 1.4m
Diameter = 1.1m (radius = ½ of 1.1 = 0.55 m)
Litres of paint available = 2 liters
Rate of usage of paint = 250 ml to 1 m²
π = 3.142
Required:
Determine if the available 2 liters of paint would be enough for the painting
Solution:
Step 1: calculate the curved surface area of the cylindrical tank
Curved surface area (CSA) = 2πrh
= 2*3.142*0.55*1.4
= 4.84 m²
Step 2: Calculate how many liters of paint is required to paint the cylindrical tank having a curved surface area of 4.84 m²
If 1 m² requires 250ml (0.25 liters) of paint,
4.84m² area will require 4.84*0.25 liters
= 1.21 liters of paint.
Since 2 liters of paint is available, it means the paint will be more than enough to cover the tank with 1 layer of paint.
According to a study conducted in one city, 39% of adults in the city have credit card debts of more than $2000. A simple random sample of 100 adults is obtained from the city. Describe the sampling distribution of the sample proportion of adults who have credit card debts of more than $2000.
Answer:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean [tex]\mu = 0.39[/tex] and standard deviation [tex]s = 0.0488[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.39, n = 100[/tex]
Then
[tex]s = \sqrt{\frac{0.39*0.61}{100}} = 0.0488[/tex]
By the Central Limit Theorem:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean [tex]\mu = 0.39[/tex] and standard deviation [tex]s = 0.0488[/tex]
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet. (a) Express the volume V of the box as a function of its width w. Determine the domain of V (w).
Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.
Step-by-step explanation:
The dimensions of the box are:
L = length
W = width
H = heigth.
We know that:
L = 4*W
And the girth of a box is equal to: G = 2*W + 2*H
then we have:
2*W + 2*H + H = 200ft
2W + 3*H = 200ft
Then we have two equations:
L = 4*W
2W + 3*H = 200ft
We want to find the volume of the box, which is V = W*L*H
and we want in on terms of W.
Then, first we can replace L by 4*W (for the first equation)
and:
2*W + 3*H = 200ft
3*H = 200ft - 2*W
H = (200ft - 2*W)/3.
then the volume is:
V(W) = W*(4*W)*(200ft - 2*W)/3
V(W) = (1/3)*(*W^2*800ft - 8W^3)
The domain of this is the set of W such that the volume is positive, then we must have that:
W^2*800ft > 8W^3
To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)
W^2*800ft = 8W^3
800ft = 8*W
100ft = W.
This means that if W is equal or larger than 100ft, the equation gives a negative volume.
Then the domain is 0 < W < 100ft.
Bargains Galore marked down a $82 cappuccino machine to $72. Calculate the following (if necessary, round your answer for markdown percent to the nearest hundredth percent):
Answer:
12.2%
Step-by-step explanation:
82 · [tex]\frac{100-x}{100}[/tex] = 72 When multiplied by a certain percent we get 72
82(100-x) = 7200
100(A whole as you may say) - *a percent* = the markdown
8200-82x=7200
82x = 1000
x ≈ 12.2
Tell me if you need further explanation
Answer:
12.20%
Step-by-step explanation:
$82 went down to $72.
$82 - $72 = $10
The price went down $10.
Now we find the percent that $10 is of $82.
percent = part/whole * 100%
percent = 10/82 + 100% = 12.195%
Answer: 12.20%
You buy a 33-pound bag of flour for $9 or you can buy a 1- pound bag for $0.39. Compare the per pound cost for the large and small bag. How much is the pounds per dollars
Answer:
see below
Step-by-step explanation:
9 dollars / 33 lbs = .272727 dollars per lb
.39 / 1 lbs = .39 per lb
The large bag is less expensive
A state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement. You choose 4 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.Is the experiment binomial?A. Yes, there are a fixed number of trials and the trials are independent of each other.B. No, there are more than two outcomes for each trial.C. Yes, the probability of success is the same for each trial.D. No, because the probability of success is different for each trial.
Answer:
A) Yes, there are a fixed number of trials and the trials are independent of each other.
Sample size 'n' = 37
probability of success p = 0.1081
q = 0.8919
Step-by-step explanation:
Explanation:-
Given data we will observe that
There are a fixed number of trials and the trials are independent of each other.
Given a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.
Given size 'n' = 37
The probability that a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.
Proportion
[tex]p = \frac{x}{n} = \frac{4}{37} = 0.1081[/tex]
q = 1 - p = 1 - 0.1081 = 0.8919
Final answer:-
Sample size 'n' = 37
p = 0.1081
q = 0.8919
Find the missing length indicated. x=
Answer: x = 120
Step-by-step explanation:
Here we have 3 triangles, one big and two smaller ones, one at the left and other at the right.
Now, the right sides is shared by the right smaller triangle and the big triangle, if this length is Z, we have that (using the angle in top of it, A, such that 64 is adjacent to A.)
Cos(A) = 64/Z
Cos(A) = Z/(64 +225)
We can take the quotient of those two equations and get:
[tex]1 = \frac{64*(64 + 225)}{Z^2} = \frac{18496}{Z^2}[/tex]
Then:
Z = √(18,496) = 136.
now, we have that for the smaller triangle one cathetus is equal to 64 and the hypotenuse is equal to 136.
Then, using the Pythagorean theorem:
64^2 + x^2 = 136^2
x = √(136^2 - 64^2) = 120
pls answer quickly!!!
Answer:
x = 90
y = 100
z = -10
Step-by-step explanation:
To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.
This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.
Thus,
(x + 30)° + (x - 30)° = 180°
Solve for x
x + 30 + x - 30 = 180
x + x + 30 - 30 = 180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
=>Find y:
Also, recall that opposite angles in a parallelogram are congruent.
This means, angle A and angle C in parallelogram ABCD above are equal.
Thus,
(x + 30)° = (y + 20)°
Plug in the value of x to solve for y
90 + 30 = y + 20
120 = y + 20
Subtract 20 from both sides
120 - 20 = y
100 = y
y = 100
=>Find z, if z = x - y
z = 90 - 100
z = -10
the line through (5, 7) and (1, - 5)
Answer:
Hey there!
Slope of the line: [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope of the line: [tex]\frac{12}{4}[/tex], which is equal to 3.
Point slope form: y2-y1=m(x2-x1)
Point slope form: y-7=3(x-5)
Y intercept form: y-7=3x-15
Y intercept form: y=3x-8
Let me know if this helps :)
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. (If an answer does not exist, enter DNE.) 1 + 0.5 + 0.25 + 0.125 + ...
Answer:
Convergent. The sum is 2.
Step-by-step explanation:
First let's find the rate of the series. We can find it by dividing one term by the term before:
[tex]0.5 / 1 = 0.5[/tex]
[tex]0.25 / 0.5 = 0.5[/tex]
[tex]0.125 / 0.25 = 0.5[/tex]
So the rate of the series is 0.5. The series is convergent if the rate is between 0 and 1, so this series is convergent.
We can find its sum with the following equation:
[tex]S = a_1 / (1 - r)[/tex]
Where a_1 is the first term and r is the rate.
So we have that:
[tex]S = 1/ (1 - 0.5)[/tex]
[tex]S = 2[/tex]
The sum of the series is 2.
Element X decays radioactively with a half life of 11 minutes. If there are 670 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 26 grams?
The element X will take 22.10 minutes to decay to 26 grams.
What is radioactive radiation?The radioactive radiations are the radiations that an atom nucleus releases.
What is an arithmetic progression?It is a sequence of numbers which have common difference.
How to find the time?The decaying acts like an arithmetic progression in which a=670,d=-30.45 (per minute decaying) and n we have to find with the an value of 26 gram.
So, the formula of nth term of an arithmetic progression is
nth term=a+(n-1)d
26=670+(n-1)*(-30.45)
-644=-30.45n+30.45
-674.45=-30.45n
n=22.10 (after rounding off)
Hence the element X would take 22.10 minutes to decay to 26 grams.
Learn more about arithmetic progression at https://brainly.com/question/6561461
#SPJ2
Answer:
y=a(.5)^{\frac{t}{h}}
y=a(.5)
h
t
y=30 \hspace{15px} a=670 \hspace{15px} h=11 \hspace{15px} t=?
y=30a=670h=11t=?
30=670(.5)^{\frac{t}{11}}
30=670(.5)
11
t
\frac{30}{670}=\frac{670(.5)^{\frac{t}{11}}}{670}
670
30
=
670
670(.5)
11
t
0.0447761=(.5)^{\frac{t}{11}}
0.0447761=(.5)
11
t
\log(0.0447761)=\log((.5)^{\frac{t}{11}})
log(0.0447761)=log((.5)
11
t
)
\log(0.0447761)=\frac{t}{11}\log(.5)
log(0.0447761)=
11
t
log(.5)
Power Rule.
11\log(0.0447761)=t\log(.5)
11log(0.0447761)=tlog(.5)
Multiply by 11.
\frac{11\log(0.0447761)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}
log(.5)
11log(0.0447761)
=
log(.5)
tlog(.5)
Divide by log(.5).
t=\frac{-14.838489}{-0.30103}
t=
−0.30103
−14.838489
t=49.29239\approx 49.3 \text{ minutes}
t=49.29239≈49.3 minutes
Step-by-step explanation:
A study was conducted on 64 female college athletes. The researcher collected data on a number of variables including percent body fat, total body weight, lean body mass, and age of athlete. The researcher wondered if total body weight (TBW), lean body mass (LBM), and/or age are significant predictors of % body fat. All conditions have been checked and are met and no transformations were needed. The partial technology output from the multiple regression analysis is given below. How many degrees of freedom does the F-statistic have in this problem?
Answer:
Hello please your question is in-complete attached is the complete question
degree of freedom = -62.90 ( e )
Step-by-step explanation:
The formula for calculating the F-statistic/test statistic is
test - statistic = Coef ( LBW) / SE Coef ( LBW )
= -0.72399 / 0.01151
= - 62.90
the degree of freedom the F-statistic has = -62.90
F-statistic test is any statistical test in which the test statistic has an F-distribution under the null hypothesis. the value of the test can be gotten from running an ANOVA test or regression analysis on the statistical models
Using the definition of degrees of freedom, it is found that the F-statistic has 63 df.
When a hypothesis is tested, the number of degrees of freedom is one less than the sample size.
In this problem, the sample size is of n = 64.
Hence:
df = n - 1 = 64 - 1 = 63
The F-statistic has 63 df.
A similar problem is given at https://brainly.com/question/16194574
Please answer this correctly
Answer:
25%
Step-by-step explanation:
Total cards = 4
The number 4 = 1
p(4) = 1/4
In %age:
=> 25%
Answer:
25%
Step-by-step explanation:
There is only 1 four card from the 4 cards.
1 card out of 4 cards.
1/4 = 0.25
P(4) = 25%
The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 under a pressure of 15psi (pounds per square inch). Write the equation that relates the volume, V, to the pressure, P. What would be the volume of this gas if the pressure was increased to 25psi?
Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Answer:
v=5550/p
222
Step-by-step explanation:
State sales tax is 3%. How much would you pay on a $246 pair of shoes?
Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
246(.03)= 7.38
246+7.38= $253.38
the flagpole casts an 8 foot shadow and is 20 feet high, At the same time the oak tree casts a 12 foot shadow how tall is the tree
Answer:
30 feet
Step-by-step explanation:
We can use ratios to answer this question:
8 foot shadow: 20 feet high
Therefore if we multiply both sides by 1.5
12 foot shadow: 30 feet high
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers that are odd on the spinner are 1, 3, and 5.
3 numbers out of 6.
3/6 = 1/2
P(odd)= 1/2
Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
7.2%, compounded monthly. If her bank charges a prepayment fee of 6
months' interest on 80% of the balance, what prepaymeant fee would
Aphrodite be charged for paying off her loan 12 years early?
A. $3246.74
B. $4078.20
C. $4895.83
D. $4921.46
Answer:
A. $3246.74
Step-by-step explanation:
The monthly payment can be found from the amortization formula.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual rate compounded n times per year for t years.
Filling in the values, we compute the monthly payment to be ...
A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94
__
The remaining balance after t years will be ...
B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)
For the given initial principal and the computed payment, after 18 years, the balance will be ...
B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)
B = $111,054.71
The prepayment penalty appears to be ...
(r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38
The closest listed answer choice is ...
A. $3246.74
_____
Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.
There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of the angle bisectors. Then what you've got to do is find the side lengths of the triangle
Answer:
21cm; 28cm; 14cm
Step-by-step explanation:
There is no info in the problem/s text which one of the triangle's side is 21 cm. That is why we have to try all possible variants.
Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.
Let O is AK and BM cross point.
Have a look to triangle ABM. AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)
=> triangle ABM is isosceles => AB=AM (1)
1. Let AC=21 So AM=21/2=10.5 cm
So AB=10.5 cm as well. So BC= P-AB-AC=63-21-10.5=31.5 cm
Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill. AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)
2. Let AB=21 So AM=21 and AC=42 .So BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.
3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm
We know (1) that AB=AM so AC=2*AB. So AB+AC=AB+2*AB=3*AB
=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.
Let check if this triangle exists ( if the triangle's inequality fulfills).
BC+AB>AC 21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.
This variant is the only possible solution of the given problem.
Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove this claim, he selects a random sample of 344 birth records in his state from this year. Colton found that 176 of the newborns are boys. What are the null and alternative hypotheses for this hypothesis test
Answer:
Null hypothesis:[tex]p \leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]
Step-by-step explanation:
Information given
n=344 represent the random sample taken
X=176 represent the anumber of boys babies
[tex]\hat p=\frac{176}{344}=0.512[/tex] estimated proportion of boys babies
[tex]p_o=0.5[/tex] is the value that we want to check
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypotheis to verify
We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]
Answer:
p= 0.5
p>0.5
Step-by-step explanation:
1a. A deep-sea diver is at sea level. He submerges 15 feet per minute,
How many feet below sea level is he after submerging for 10 minutes? First question.
Second question,Then write an integer representing the deep-sea current location.
PLZZZ answer this correctly and i give you a brainliest!!!
Answer:
150, 15x
Step-by-step explanation:
After ten minutes he will be 15 * 10 = 150 feet below sea level.
We can call the number of minutes the diver has been underwater for as x so the integer is 15 * x = 15x.
Each of two vectors, and , lies along a coordinate axis in the xy plane. Each vector has its tail at the origin, and the dot product of the two vectors is . Which possibility is correct?
Answer:
A lies along the positive x-axis and B lies along negative x - axis .
Step-by-step explanation:
They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.
A lies along the positive x-axis and B lies along negative x - axis .
This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.
A bowling ball of mass 9 kg hits a wall going 11 m/s and rebounds at a speed
of 8 m/s. What was the impulse applied to the bowling ball?
The Answer is 171 kg m/s
Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?
Answer:
(a + b + c)/2
Step-by-step explanation:
Number of kids in first class: a
Number of kids in second class: b
Number of kids in third class: c
The total number of kids in all classes is: a + b + c
The total number of kids is divided equally between 2 buses:
(a + b + c)/2
Answer:
(a + b + c)/2
Step-by-step explanation:
;)
Which digit has the greatest value in the number 1567?
Answer: The 1 because it’s value is The Thousands place.
Each Value Broken down and then Added together:
1000 + 500 + 60 + 7 = 1567
As you can visually see here the 1 is the greatest value number.
Answer:1
Step-by-step explanation: 1 takes place in the thousands place which is greater than 5 (hundreds) , 6 (tenths) , and 7 (ones)
Coin B is going to be thrown 4000 times.
Work out an estimate for the number of times
coin B will land on Heads.
Answer:
The probability of "heads" is ½ and the probability of "tails" is ½.
This means that if we flip this coin several times, we expect it to land on "heads" for half of the time.
If we flip the coin 4000 times, we would expect it to land on "heads" 2000 times, because ½ × 4000 = 2000
The new CD burner costs 12% less at the new electronics store. This statement shows the use ofwhich of the following concepts?
(a)Absolute change (c)Relative change
(b) Absolute difference (d) Relative difference
Answer:
Option D is correct.
This statement shows the use of relative difference.
Step-by-step explanation:
Taking each of the answer choices one at a time
- Absolute Change
This expresses the exact value of alterations or modifications that happen to a particular quantity. It gives exactly how much the value of the same quantity has changed at different times or conditions. The statement in this question compares two different quantities (price of new CD burner at two different stores), hence it doesn't give the absolute change.
- Absolute Difference
This expresses the exact value of the difference between two quantities. The statement in the question on its own cannot give us the absolute value of the difference between the cost of new CD burner at the two stores being compared. Hence, this isn't the correct answer.
- Relative Change
Thìs expresses how much a particular quantity has changed with respect to its value at some other period of time or under some other condition(s). The question in this statement compares two different quantities and isn't the right answer.
- Relative Difference
This expresses the difference between two quantities wit respect to or relative to one of the two quantities being compared. This is exactly what the statement in the question expresses by saying that the new CD burner costs 12% less at the new electronics store.
It compares the telative difference of the new CD burner at the new and old electronics store.
Hope this Helps!!!
A normally distributed population of package weights has a mean of 63.5 g and a standard deviation of 12.2 g. XN(63.5,12.2) a. What percentage of this population weighs 66 g or more
Answer:
The percentage is %z [tex]= 41.9[/tex]%
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 63.5 \ g[/tex]
The standard deviation is [tex]\sigma = 12.2 \ g[/tex]
The random number is x = 66 g
Given the the population is normally distributed
The probability is mathematically represented as
[tex]P(X > 66 ) = P(\frac{X - \mu }{\sigma} > \frac{x - \mu }{\sigma } )[/tex]
Generally the z-score for this population is mathematically represented as
[tex]Z = \frac{ X - \mu}{ \sigma}[/tex]
So
[tex]P(X > 66 ) = P(Z > \frac{66 - 63.5 }{12.2 } )[/tex]
[tex]P(X > 66 ) = P(Z > 0.2049 )[/tex]
Now the z-value for 0.2049 from the standardized normal distribution table is
[tex]z = 0.41883[/tex]
=> [tex]P(X > 66 ) = 0.41883[/tex]
The percentage is
% z [tex]= 0.41883 * 100[/tex]
%z [tex]= 41.9[/tex]%
Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?
Answer:
[tex]x^2-2x+1[/tex]
Step-by-step explanation:
=> (x-1)(x-1)
Using FOIL
=> [tex]x^2-x-x+1[/tex]
=> [tex]x^2-2x+1[/tex]
Answer:
Step-by-step explanation:
simply :
(x-1)(x-1)= (x-1)²= x²-2x=1
Which ordered pair is a solution of this equation?
-2x + 9y = -26
(-4,-4)
(4,4)
(-4,-5)
(-5,-4)