The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
There are 1,044 apartments in Baldwin County this year, which is approximately an 8.1% increase from last
year. How many apartments were there in Baldwin County last year?
Answer:
~966 apartments
Step-by-step explanation:
[tex]\frac{1044}{1.081}[/tex]
It is estimated that 50% of emails are spam emails. Some software has beenapplied to filter these spam emails before they reach your inbox. A certain brandof software claims that it can detect 99% of spam emails, and the probabilityfor a false positive (a non-spam email detected as spam) is 5%.Now if an email is detected as spam, then what is the probability that it isin fact a non-spam email?
Answer:
P(Non-Spam/Spam Detected) = 5/99
Step-by-step explanation:
To determine the probability that it is in fact a non-spam email, we will employ the use of Bayes Theorem: P(A/B) = (P(B/A) x P(A)) / P(B).
P(Spam) = P(Non-Spam) = 0.5
P(Spam Detected) = P(Spam) * rate of detection = 0.5 * 0.99
P(Detected/Non-Spam) = P(false positives) = 0.05
Using Bayes Theorem, P(Non-Spam/Spam Detected) = ( P(Spam Detected/Non-Spam) x P(Non-Spam) ) / P(Spam Detected)
= 0.05*0.5 / 0.5*0.99
= 5/99
Using conditional probability, it is found that there is a 0.0481 = 4.81% probability that it is in fact a non-spam email.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Email detected as spam.Event B: It is a non-spam email.The percentages of emails detected as spam are:
99% of 50%(spam emails).5% of 50%(non-spam emails).Hence:
[tex]P(A) = 0.5(0.99) + 0.5(0.05) = 0.52[/tex]
The probability of an email being detected as spam and not being spam is:
[tex]P(A \cap B) = 0.5(0.05)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5(0.05)}{0.52} = 0.0481[/tex]
0.0481 = 4.81% probability that it is in fact a non-spam email.
A similar problem is given at https://brainly.com/question/14398287
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters
Answer:
2760
Step-by-step explanation:
I really don't know I just did 32x120
6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left?
7(-8)-2y=-52
help....
Answer: Y = -2
Step-by-step explanation:
7(-8) -2y = -52
-56 - 2y = - 52
- 2y = 4
Y = -2
Answer:
Step-by-step explanation:
x = -8 so replace x with -8.
It should be 7(-8) - 2y = -52
Multiply 7 and -8 you get -56
You are left with -56 - 2y = -52
add -56 on both sides to get it on the other side
You will be left with -2y = 4
Divide by -2y on both sides
You'd get y = -2
dot is taller than dab but shorter than dee, and dave is taller than don prove: E is the last letter of the name of the tallest person
Step-by-step explanation:
It starts off by saying Dot is taller than Dab.
Then it says he is shorter the dee.
Then it states that another name dave is taller then don.
We dont necessarily know if dee or dave is the tallest but both of there last names end with E so it proves the question at hand.
Is it TRUE, you can solve a literal equation by isolating the specified variable, or letter
When using Newton's Method to find the root of a linear function f(x) = ax + b, a 70, how many iterations of the method are required to find the root at r = R?1 4 2 There is no fixed number. It depends on the intial guess xo.
Answer:
It depends on the initial guess Xo
Step-by-step explanation:
The number of iterations required to find the root at r = R depends on the initial guess Xo, this is because when using Newton's method for finding roots, you will need to pick an initial guess and this will be followed by an iterative process which would converge to a solution. The number of roots before the converging will take place depends on the initial guess Xo made
Subtract. Add to check: 512,724-96,473
Answer: =512,628,473
Step-by-step explanation:
Answer:
416251
Step-by-step explanation:
I used a calculator
PLEASE HELP PLEASE PLEASE
Answer:
The second one is d. 13
Step-by-step explanation:
Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.
x decreased by 7 is 38
Answer:
45
Step-by-step explanation:
x - 7 = 38
add 7 to both sides to get the variable by itself
x = 45
A map is drawn to scale so that a length of 1 inch represents an actual distance of 6 miles. If two
towns are 30 inches apart on the map, what is the actual distance between the two towns?
Write the equation represents the situation?
“Bill has 16 missing math assignments. If he
completes 2 in class and 3 each day how
long will it take him to make up his missing
work?”
Answer: X= days. Equation: 16-2-3X=X
Step-by-step explanation:
there is none, it’s pretty straight forward.
But if you want to solve for how many days then it’s, 3 1/2 days
Look at the table showing different prices for oranges.
Prices for Oranges
Price A
Price B
Price C
$2.25 for 6
$1.30 for 4
$0.97 for 2
Which gives the prices in order, from least to greatest unit rate?
Price B, Price A, Price C
Price C, Price B, Price A
Price C, Price A, Price B
Price B, Price C, Price A
nswer:
1st Option is correct that is Price B , Price A , Price C
Step-by-step explanation:
0.33 < 038 < 0.49 ⇒ Price B < Price A < Price C
Approximately, it's going least to greatest
2.25/6=0.33
1.30/4= 0.38
0.97/2 = 0.49 ALL ROUNDED
Answer:
its the first one
Step-by-step explanation:
hope that helps
Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you
"Supplementary" angles add up to 180°.
Opposite angles are supplementary, so . . .
(12x - 4) + (19x - 2) = 180°
Clear the parentheses: 12x - 4 + 19x - 2 = 180°
Add up all the x's on the left side: 31x - 4 - 2 = 180°
Add up the plain old numbers on the left side: 31x - 6 = 180°
Add 6 to each side: 31x = 186°
Divide each side by 31 : x = 6°
Well ! Now that you know that x = 6° . . .
Angle EPC is (12x - 4)°
That's (12·6 - 4)°
Which is (72 - 4)°
Which is 68°
If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?
Answer:
can we be friends
Step-by-step explanation:
Vivian put $2,300 into an interest-bearing savings account. Her account balance, in dollars, after 6 years can be calculated using the expression shown below. Use the given expression to complete the statements. The quantity that represents Vivian's initial deposit is . The quantity that represents the rate at which the account is increasing is , which means the interest rate is %.
Answer:
The quantity the represents Vivian's initial deposit is $2,300. The quantity that represents the rate at which the account is increasing is 1.05, which means the interest rate is 5%.
Can someone tell me the solutions to this please its urgent
Answer:
The first one is 20
The second one is 18
And the last one is 4
Height for each toddler at Mrs.orlando daycare
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answer: The values of both x and y will be real numbers greater than or equal to 0
Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.
The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0
What is a Real Number?
This refers to the union of both rational and irrational numbers that can have negative or positive values.
From the given information:
Peaches are being bought and sold
There is no negative value used
The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0
Read more about real numbers here:
https://brainly.com/question/155227
#SPJ6
What is the algebraic expression of the product of
7 and p
Answer:
7p, 7*p
Step-by-step explanation:
Write an inequality that represents the missing dimension x
.
The area is less than 42 square meters.
An inequality is .
*see the figure referred to in the attachment below.
Answer:
x < 14
Step-by-step explanation:
The figure given is a triangle with base (b) = x, and height (h) = 6 m.
We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.
Area of ∆ = ½*b*h = ½*x*6
Area = x*3 = (3x) m²
The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:
3x < 42
Divide both sides by 3
3x/3 < 42/3
x < 14
The inequality representing the missing dimension (the base) is x < 14
Identify which line from the graph the following right triangles could lie on.
Answer:
Step-by-step explanation:
Slope of line A = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{9}{3}[/tex]
= 3
Slope of line B = [tex]\frac{9}{6}[/tex]
= [tex]\frac{3}{2}[/tex]
Slope of line C = [tex]\frac{6}{8}[/tex]
= [tex]\frac{3}{4}[/tex]
5). Slope of the hypotenuse of the right triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{90}{120}[/tex]
= [tex]\frac{3}{4}[/tex]
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = [tex]\frac{30}{10}[/tex]
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = [tex]\frac{18}{24}[/tex]
= [tex]\frac{3}{4}[/tex]
Given triangle may lie on the line C.
8). Slope of hypotenuse = [tex]\frac{21}{14}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
9). Slope of hypotenuse = [tex]\frac{36}{24}[/tex]
= [tex]\frac{3}{2}[/tex]
Given triangle may lie on the line B.
10). Slope of hypotenuse = [tex]\frac{48}{16}[/tex]
= 3
Given triangle may lie on the line A.
Please help!!! Thank you!
Answer:
C
Step-by-step explanation:
y=-2x+3
A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t
Answer:
The answer is "96.864 ml".
Step-by-step explanation:
In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].
( where X is the mean, t is the coefficient, and s is the mean difference error)
As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].
And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite: [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]
[tex]= 100 \pm (3.136) \\\\[/tex]
Consequently, if the standard error is [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill
[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]
35 is what percent of 28?
Answer:
9.8
Step-by-step explanation:
I checked on google
Answer:
9.8
Step-by-step explanation:
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
A. 1.9 X 10^18 kg
B. 2 x 10^18 kg
C. 1.9 x 10^27 kg
D. 2x 10^27 kg
Answer:
D. [tex] 2*10^{27} kg [/tex]
Step-by-step explanation:
Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg
Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")
To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.
We have 27 zeros there.
Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.
An estimate of the mass of Jupiter = [tex] 2*10^{27} kg [/tex]
Which graph shows the solution to the inequality -3x-7 <20?
+
-10
-5
0
ch
5
10
+
-10
-5
0
5
10
A
0
-5
5
5
10
-10
+
5
10
0
-5
-10
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply.
Answer:
c and d?
Step-by-step explanation:
im not sure if thats right but those are the only 2 numbers that i see beetween the number line
Answer:
A, C, D, E
Step-by-step explanation:
-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8
-9/10 as a decimal is -0.9 so it is too high
-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8
-1/4 as a decimal is -0.25 so it is too high
-2/5 as a decimal is -0.4 so it is between 0.2 and 0.
EDIT: 1/4 is right actually so it's d to.