The answer would be 80 because 252+x/4 =83 x=80
Hope this helps
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The lowest score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least 80.
What is average?
The ratio of total sum in a given set to all the values in the data set is the mean value, which is the definition of the average. In mathematics, the central value of the a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to a number of units in the list. In terms of statistics, the term "mean" also refers to the average of a particular set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The central value of 2, 3, and 4 in this instance is 3, so. Finding the mean value of the a group of numbers is the definition of average.
According to question,
[tex]\frac{86+88+78+x}{4} = 83[/tex]⇒ [tex]x = 80[/tex]
Hence, Gill can score 80.
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a family buys a house worth $326000. they pay $75000 deposit and take a mortgage for the balance at J12= 9% per annum to be ammortized over 30 years with monthly payments. find the value of mortgage of their house
Answer:
251,000$
Step-by-step explanation:
The table shows the cost of long distance calls
Answer:
nnnvvg
Step-by-step explanation: mm
Which statements about f(x) = −(x − 7)2 + 4 are true?
Select all that apply.
Answer:
x=9
Step-by-step explanation:
f(x) = −(x − 7)2 + 4
(substitute f(x) = 0)
0= −(x − 7)2 + 4
(distribute 2 into brackets)
0= −(2x - 14) + 4
(remove brackets and change the sign of each expression inside the brackets)
0= - 2x + 14 + 4
(add the numbers)
0= - 2x + 18
(move variable to the other side and change its sign)
2x = 18
(divide both sides by 2)
x = 9
The given expression is quadratic, parabolic graph, relative maxima and real zeros. The correct options are (a), (c) and (f).
What is a quadratic equation?The general form of a quadratic equation is given as ax^2 + bx + c = 0.
Here, a ≠ 0 and b and c are integers.
The degree of a quadratic equation is 2.
The given expression is f(x) = -(x - 7)² + 4
Since the degree of the expression is 2, it is quadratic.
The graph of the given equation will be parabolic.
By comparing from the general vertex form (x - h)² + k, its vertex can be found as (7, 4).
Axis of symmetry is x = 7.
y-intercept can be obtained by plugging x = 0 as,
-(0 - 7)² + 4 = 53.
Maxima or minima can be found as below,
f'(x) = 0
⇒ -2(x - 7) = 0
⇒ x = 7
In order to find the solution write the expression as follows,
-(x - 7)² + 4 = 0
⇒ -x² + 14x - 49 + 4 = 0
⇒ x² - 14x + 45 = 0
⇒ x = 5,9
Thus, the equation has real solutions.
Hence, the properties of the given equation are derived as quadratic, parabolic graph, relative maxima and real zeros.
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In Denver, 20% of the days each year are rainy (assume it's a normal year with 365
days).
How many days are rainy days per year? Round to the nearest day if needed.
73 days
20 days
18 days
70 days
Answer: 73
Step-by-step explanation:
The perimeter of a rectangle shown below 23 feet what is the missing side length
Answer:
[tex]n = 7\frac{1}{4}[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have:
[tex]Length = 4\frac{1}{4}ft[/tex]
[tex]Width = n[/tex]
[tex]Perimeter = 23fr[/tex]
Required
Determine n
Perimeter is calculated as:
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute in values
[tex]23 = 2(4\frac{1}{4} + n)[/tex]
Convert to decimal
[tex]23 = 2(4.25 + n)[/tex]
Open Bracket
[tex]23 = 8.5 + 2n[/tex]
Collect Like Terms
[tex]2n = 23 - 8.5[/tex]
[tex]2n = 14.5[/tex]
[tex]n = 14.5/2[/tex]
[tex]n = 7.25[/tex]
[tex]n = 7\frac{1}{4}[/tex]
A whole foods company sends an email survey to all customers who purchase a certain brand of vitamins each month. The previous month, 523 people purchased this brand of vitamins.
Surveys were sent to 112 of these people, chosen at random, and 96 people responded to the survey. Identify the population and the sample. (1 point)
The population is 112 and the sample is 96.
The population is 523 and the sample is 96.
The population is 523 and the sample is 112.
The population is 112 and the sample is 523.
O
Answer: The population is 523 and the sample is 112.
Step-by-step explanation:
In statistical parlance, a population is referred to as all the entire individuals or subject which makes up a certain group of interest. In the scenario above, the group of interest refers to the consumers who buys the vitamin brand each month. Hence, the population encompasses all the buyers for for a particular month which sums up to 523 customers.
The sample is a subset culled from the population. It refers to a smaller group of individuals or subject which are chosen by a sampling method from the entire population. In the scenario above, the number of randomly selected consumers who were sent surveys are the sample. The fact that not all those who were sent surveys responded does not change the fact that they were randomly selected from the larger population pool and will hence be considered to be a part of the sample.Hence the sample is 112.
A man and a woman agree to meet at a certain location about 12:30 PM. Suppose the man arrives at a time uniformly distributed between 12:15 and 12:45. Suppose the woman independently arrives at a time uniformly distributed between 12:00 and 1 PM. Find the probability that the man arrives first.
Answer:
The probability that the man arrives first is 0.50.
Step-by-step explanation:
Let X denote the arrival time of the man and Y denote the arrival time of the woman.
It is provided that:
[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]
The pdf of X an Y are:
[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]
It is provided that X and Y are independent of each other.
Then the joint pdf of X and Y is:
[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]
Compute the probability that the man arrives first as follows:
[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]
[tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]
Thus, the probability that the man arrives first is 0.50.
find the value of the expression below. log6 3 + log6 8- log6 4
Given:
Consider the expression is
[tex]\log_63+\log_68-\log_64[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex]\log_63+\log_68-\log_64[/tex]
Using properties of logarithm, we get
[tex]=\log_6(3\times 8)-\log_64[/tex] [tex][\because \log_am+\log_an=\log_amn][/tex]
[tex]=\log_6(24)-\log_64[/tex]
[tex]=\log_6\left( \dfrac{24}{4}\right)[/tex] [tex][\because \log_am-\log_an=\log_a\dfrac{m}{n}][/tex]
[tex]=\log_66[/tex]
[tex]=1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of given expression is 1.
(C) 1 is the correct answer.
Consider the population of electric usage per month for houses. The standard deviation of this population is 128 kilowatt-hours. What is the smallest sample size to provide a 90% confidence interval for the population mean with a margin of error of 30 or less
Answer: 50
Step-by-step explanation:
Formula for sample size(n) if population standard deviation [tex](\sigma)[/tex] is known:
[tex]n=(\dfrac{\sigma\times z_c}{E})^2[/tex] , E = Margin of error , [tex]z^c[/tex] = Critical z-value
As per given,
[tex]\sigma= 128[/tex] kilowatt-hours.
Critical z-value for 90% confidence = 1.645
E = 30
Required sample size : [tex]n=(\dfrac{128\times1.645}{30})^2=(7.01867)^2[/tex]
[tex]=49.2617285689\approx50[/tex]
Hence, the smallest sample size to provide a 90% confidence interval for the population mean with a margin of error of 30 or less = 50
I tried solving it and I didn’t get the right answer can someone explain to me
Answer:
X=29°
Step-by-step explanation:
Since triangles ABC and DEC are congruent, Angle A = Angle D = 74°
Sum of all angles in a triangle is 180°
So, Angle A + Angle B + Angle C =180°
74°+2X+48°=180°
2X=180°-122°
2X=58°
X=29°
======================================================
Explanation:
When it comes to congruence statements like this, the order of the letters is important. This is so we pair up the letters properly.
ABC has A first, B second, C third
DEC has D first, E second, C third
So we have these pairings
A pairs with DB pairs with EC pairs with C (ie it pairs with itself)Which leads to
A = DB = EC = CDue to the fact that congruent triangles have congruent corresponding parts.
Since B = E and B = 2x, we can say that E = 2x by either substitution or the transitive property. Both effectively say the same thing.
---------------------------
Now focus on triangle CDE
The three angles we have are
C = 48D = 74E = 2xThose three angles add to 180. This is true for any triangle.
C+D+E = 180
48+74+2x = 180
122+2x = 180
2x = 180-122
2x = 58
2x = 58/2
x = 29
--------------------------------
Side note: since x = 29, this means angle B = 2x = 2*29 = 58, and this is the measure of angle E as well.
We can check the answer by doing C+D+E = 48+74+58 = 180. So we have confirmed the answer.
The measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:
40 degrees
Step-by-step explanation:
It would be 40 degrees because every triangle will add up to 180 degrees. Angle Q and R are equal (pulled from the sign that the two lines from P are equal) So 180 - 70 = 110 - 70 = 40
The measure of angle P is 55 degrees.
The given image is an isosceles triangle. An isosceles triangle is a three sided polygon that has two equal angles. Angles in a triangle add up to 180 degrees.
The triangle is an isosceles triangle because of the two lines on the triangle.
<p + <r + <q = 180 degrees
70 + <r + <q = 180
<r + <q = 180 - 70
<r + <q = 110
<r + <q = 110/2 = 55
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a dealership sets car prices so there is 40% profit. If a dealership paid 5,300 for a car how much should they sell the car?
0.04 is 10 times as much as?
Answer:
0.004
Step-by-step explanation:
10*0.004=0.04
hope this helps
Answer:
0,004 i think
Step-by-step explanation:
Use intercepts to graph the linear equation 3x-y=-5
options are A, B, C, E, H
WHICH ONES ARE CORRECT?
Answer:
A or C
Step-by-step explanation:
find the slope represented in the table below show all work
Answer:
no table
Step-by-step explanation:
Find the value of x.
(2.5x + 6)
Answer:
See below
Step-by-step explanation:
All of the sides are the same length so all of the angles are the same in this equilateral triangle....each is 60°
60 = 2.5 x + 6
54 = 2.5 x
x = 21.6 °
The measure of an angle’s supplement is 84° more than the angle. Find the measure of
the angle and its supplement
Answer:
angle = 48 supplement = 132
Step-by-step explanation:
Answer:
angle 48 and supplement 132
45 books in 5 shelves =per books
Answer:
in total there are 225 books if that's what you're asking?
which table represents a function?
Answer:
First table
Step-by-step explanation:
It will be the first table as on the other ones there is two of the same X
what is 360 times 345
Answer:
124200
Step-by-step explanation:
i think this is the answer
Answer:
124200
Step-by-step explanation:
Point A(9,-6) is translated using the rule (x+3, y-7) then it is reflected across the x-axis. What are the coordinates of its final image?
Answer:
The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].
Step-by-step explanation:
From Linear Algebra, we define reflection across the x-axis as:
[tex](x',y') = (x, -y)[/tex], [tex]\forall \,x,y\in\mathbb{R}[/tex]
According to the statement of problem, the following operation of translation:
[tex](x',y') = (x+3, y-7)[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]
Where:
[tex](x,y)[/tex] - Original point, dimensionless.
[tex](x',y')[/tex] - Translated point, dimensionless.
If we know that [tex]A(x, y) = (9, -6)[/tex], we proceed to make the abovementioned operations:
Translation
[tex](x', y') = (9+3,-6-7)[/tex]
[tex](x',y') = (12, -13)[/tex]
Reflection
[tex](x'', y'') = (x',-y')[/tex]
[tex](x'', y'') = (12, 13)[/tex]
The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].
52nd term of the sequence 2,6,10,14,
Answer:
210
Step-by-step explanation:
You can multiply 52 by 4 which is 208.
Next, you can add that to the number 2 which is 210.
Hope this Helps!!! :)
Race the Turtles. Then complete the following statements. The speed of a turtle can be found by _____distance by time. The speed of the winning turtle was _____the speed of the other two turtles.
Options for first blank
Adding
Subtracting
Multiplying
Dividing
Options for blank two
Slower than
The same speed as
Faster than
Answer:
1. dividing
2. faster than
Step-by-step explanation:
Edge 2020
Answer:
The speed of a turtle can be found by distance by time.
adding
subtracting
multiplying
✔ dividing
The speed of the winning turtle was the speed of the other two turtles.
slower than
the same speed as
✔ faster than
can someone help me with this
−2(7−y)+4=−4
Simplify −2(7−y)+4.
2y−10=−4
Move all terms not containing y to the right side of the equation.
2y=6
Divide each term by 2 and simplify.
y=3
When they distributed the 2 they did -2×y but it was supposed to be -2×-y, which equals a positive 2y
Hope this helps! :) Plz mark as brainliest!
19:28:14
Graph 8x - 2y = -16.
a
Ty
Ty
b
d
Mark this and return
Save and Exit
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Zoe writes several checks to pay bills. This leaves her with a balance of -$27. She then goes to the bank and deposited $27 into her checking account. What is zoe's new account balance
Answer:
0$
Hope this helped ;)
Answer:It would be -54
Step-by-step explanation:
Because you deposited money into the account so you will add -27 and 27 to get -54.
Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) and the x-axis on the interval [,) is revolved about the x-axis.
This question is incomplete, the complete question is;
Find the volume of the described solid of revolution or state that it does not exist.
The region bounded by f(x) = x⁻⁷ and the x-axis on the interval [ 1, ∞) is revolved about the x-axis.
Answer: volume of the cubic units is π/13
Step-by-step explanation:
Given that;
f(x) = x⁻⁷
in the image, Area of ring = πR²
we substitute
Area = π (x⁻⁷)²
= π(x⁻¹⁴)
Now
Volume = ₁∫^∞ π(x⁻¹⁴) dx
= [ -π/13 x⁻¹³ ]₁^∞
= 0 + π/13
= π/13
therefore volume of the cubic units is π/13
Solve the system by substitution. You must show your work.
-2.5x + y = 13.5
2.25x - y = -12.25
Answer: (-5,1)
Step-by-step explanation:
−2.5x+y=13.5
−2.5x+y+2.5x=13.5+2.5x(Add 2.5x to both sides)
y=2.5x+13.5
Step: Substitute
5x+13.5 and 2.25x−y=−12.25:
2.25x−y=−12.25
2.25x−(2.5x+13.5)=−12.25
−0.25x−13.5=−12.25(Simplify both sides of the equation)
−0.25x−13.5+13.5=−12.25+13.5(Add 13.5 to both sides)
−0.25x=1.25
−0.25=1.25−0.25(Divide both sides by -0.25)
x=−5
Step: Substitute−5forxiny=2.5x+13.5:
y=2.5x+13.5
y=(2.5)(−5)+13.5
y=1(Simplify both sides of the equation)
Answer:
x = -4, y = 3.5
Step-by-step explanation:
-2.5x + y = 13.5 ------ (1)
2.25x - y = -12.25 ---(2)
you can substitute (1) into (2) or vice versa
We are going to substitute (2) into (1)
but first we have to rewrite it in terms of x or y
Lets do y
from (2), (after subtracting -2.25x from both sides), y = 12.25 + 2.25x ----(3)
plug in (3) into (1)
-2.5x + (12.25 + 2.25x) = 13.5
-2.5x + 12.25 + 2.25x = 13.5
-2.5x + 2.25x = 13.5 - 12.5
-0.25x = 1
x = -(1/.25)
x = -4
Now we have x
We already used (2), lets plug in x = -4 into (1)
-2.5(-4) + y = 13.5
10 + y = 13.5
y = 13.5 - 10
y = 3.5
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs). How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
Answer:
5 capsules
Step-by-step explanation:
A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
Step 1
We convert the capsules form grams to milligrams
1 gram = 1000 milligrams
0.250grams = x
Cross Multiply
x = 0.250 × 1000 milligrams
x = 250 mg
Hence, 1 capsule = 250 mg
How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg
The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).
The child weighs 69 pounds
1 pound = 0.453592 kg
69 pounds = x kg
Cross Multiply
x kg = 69 × 0.453592kg
x kg = 31.297848kg
Hence,
1 kg= 40.0 mg
31.297848 kg = x
x = 31.297848 × 40.0mg
x = 1251.91392mg
Therefore, the child would take 1251.91392 mg
From the first calculation we know that:
1 capsule = 250 mg
250mg = 1 capsule
1251.91392 mg = x capsules
250mg × x = 1251.91392 mg × 1 capsule
x = 1251.91392 mg/250mg
x = 5.00765568 capsules
Approximately = 5 capsules
Hence, a child that weighs 69 pounds takes 5 capsules of keflex
