Answer:
3
Step-by-step explanation:
8x and 7x + 3 are vertically opposite angles.
Vertically opposite angles are equal,
8x = 7x + 3
8x - 7x = 3
x = 3
Answer:
DCE=156°
Step-by-step explanation:
8x=7x+3
8x-7x=3
x=3
BCD+DCE=180
8x+DCE=180
24+DCE=180
DCE=180-24
DCE=156°
John is a software salesperson. His base salary is $2300 and he makes $70 more for every copy of English is Fun he sells. His total pay, P (in dollars), after selling c copies is given by the following.
P=70c+2300
(a) If john’s total pay is $4750, how many copies did he sell?
(b) What is john’s total pay if he sells 25 copies?
Answer:
A - 35 copies
B - $4050
Step-by-step explanation:
A-
2300 + 70c = 4750
70c = 4750 - 2300
70c = 2450
c = 35
He sold 35 copies
B-
P = 2300 + 70(25)
P = 2300 + 1750
P = $4050
Total if he sold 25 copies: $4050
\( CHECK \:MY\: PROFILE\\\: PAGE\: AND\: SOLVE \: MY \: QUESTION\: PLS\)
Answer:
ok
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
do you mind giving BRAINIEST
have a nice day! :)
Given that m/_a=40 and m/_b=61 find that the measure of angles x and y
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
x = 159°y = 140°\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \:y + a = 180\)
( linear pair )
\(\qquad❖ \: \sf \:y + 40 = 180\)
\(\qquad❖ \: \sf \:y = 180 - 40\)
\(\qquad❖ \: \sf \:y = 140 \degree\)
And
\(\qquad❖ \: \sf \:x = a +( 180 - b)\)
( Exterior angle = sum of opposite interior angles )
\(\qquad❖ \: \sf \:x = 40 + (180 - 61)\)
\(\qquad❖ \: \sf \:x = 40 + 119\)
\(\qquad❖ \: \sf \:159 \degree\)
\( \qquad \large \sf {Conclusion} : \)
x = 159°y = 140°11 less than the quotient of
4
44 and
�
xx.
The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".
A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.
An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.
The quotient of a number"x" and 4 can be written as x/4.
So, one more than the quotient of a number x and 4 can be represented by the expression:
⇒ x/4 + 1,
Therefore, required mathematical expression is "x/4 + 1".
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The given question is incomplete, the complete question is
Write an expression to represent : One more than the quotient of a number x and 4.
Help me pleaseeeeeeeeeeee
Answer:
they first answer or a
Step-by-step explanation:
because if you look at stage direction he is just facing the crowd
Answer:
The stage direction shows how King Frederick looks when he speaks.
Step-by-step explanation:
I NEED REAL HELP PLEASEE!!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set
a. 142.50
b.135
c.130
d.127.50
e.120
Answer:
120Step-by-step explanation:
E
Answer:
$120
Step-by-step explanation:
raise t to the 10th power then add the result to 3
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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Between what two consecutive integers does the square root of 24 lie
4 and 5!
4 squared is 16, which is less than 24, and 5 squared is 25, which is more than 24!
\(\sqrt{24}\) lies between two consecutive numbers 4 and 5
Given :
Given square root of 24
Lets write all the perfect square numbers
\(\sqrt{4}=2\\\sqrt{9}=3\\\sqrt{16} =4\\\sqrt{25} =5\\\sqrt{36} =6\\\sqrt{49}=7\)
From the above perfect square root numbers, we can see that square root (24) lies between \(\sqrt{16} \; and\; \sqrt{25}\)
So we can say that \(\sqrt{24}\) lies between 4 and 5
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A box is with a square base and open top is to be constructed and a total volume of 720 cubic inches is required. The cost of material for the base is 8 dollars per square inch and the cost of material for the sides is 6 dollars per square inch. Express the total cost of the box as a function of the length of the base.
Answer:
total cost = 8x^2 +17280/x
Step-by-step explanation:
Let x represent the base length. Then the area of the base is x^2, and the height is h = 720/x^2.
The area of the four sides is ...
(4x)(h) = (4x)(720/x^2) = 2880/x
The cost of the base is ...
base cost = 8x^2
And the cost of the sides is ...
side cost = 6(2880)/x = 17280/x
The total cost of the box is ...
total cost = base cost + side cost
total cost = 8x^2 +17280/x
_____
Comment on the cost function
You will find this function has a minimum at x=∛1080 ≈ 10.260 in. The total cost is about $2526.35, and the box is 2/3 times as tall as wide. That aspect ratio makes any pair of opposite sides cost the same as the base, the generic solution to a cost optimization problem of this sort.
According to this diagram, what is tan 62°?
62°
17
18
280
90°
15
O A.
8
17
OB.끝
O c. 1
8
15
D.
15
8
O
E.
17
15
F.
15
17
Answer:
15/8
Step-by-step explanation:
tan(62)=P/B
tan(62)=15/8
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 3, point B prime is at the ordered pair negative 1, 1, point C prime is at the ordered pair negative 5, 0, and point D prime is at the ordered pair negative 5, 2.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer:
A
Step-by-step explanation: Hope it HELP
explain precisely why we cannot apply the mean value theorem to function f(x) on the provided interval:
The Mean Value Theorem states that there exists a point c in the interval (a,b) such that f'(c) equals the function's average rate of change throughout [a,b] if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b).
Describe the mean value theorem.The Mean Value Theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then at some point c on the interval (a, b), f'(c) must equal the function's average rate of change over [a, b].
There is at least one point on a planar arc between two endpoints where the tangent to the arc is parallel to the secant between its ends.
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The complete question is: Explain why the Mean Value Theorem does not apply to the function on the interval [0,6].
Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.
Answer:
That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.
Step-by-step explanation:
I need a quick answer , btw this isn't a test !
Given the following question:
Courtney has 50 dollars
She spent 10, and 15 dollars on admission and snacks
10 + 15 = 25
Each game costs 1.25, we aren't told how many games Courtney played so 1.25x (since it's x amount of games)
We are only given 50 dollars so the costs of admission, snacks, and games cannot be greater than 50.
Which means....
Your answer is option A
1.25x + 25
Representing the amount she spent
less than or equal to representing her not going over the amount of money she brought which is 50.
1.25x + 25 < or = 50
Your answer is option A.
Mercury contamination of swordfish. Consumer Reports found widespread contamination of seafood in New York and Chicago supermarkets. For example, 40% of the swordfish pieces available for sale have a level of mercury above the Food and Drug Administration (FDA) limit. Consider a random sample of 20 swordfish pieces from New York and Chicago supermarkets.a. Use the normal approximation to the binomial to calculate the probability that fewer than 2 of the 20 swordfish pieces have mercury levels exceeding the FDA limit. (The final answer is 0.0015) b. Use the normal approximation to the binomial to calculate the probability that more than half of the 20 swordfish pieces have mercury levels exceeding the FDA limit. (The final answer is 0.1271) c. Use the binomial tables to calculate the exact probabilities in parts a and b. Does the normal distribution provide a good approximation to the binomial distribution? (0.0005 and 0.1275)
Answer:
Using the normal approximation to the binomial distribution
a) The probability that fewer than 2 of the 20 swordfish pieces have mercury levels exceeding the FDA limit = P(x < 2) = 0.0015
b) The probability that more than half of the 20 swordfish pieces have mercury levels exceeding the FDA limit = P(x > 10) = 0.1271
Using Binomial distribution formula for these same probabilities.
c) The probability that fewer than 2 of the 20 swordfish pieces have mercury levels exceeding the FDA limit = P(x < 2) = 0.0005
The probability that more than half of the 20 swordfish pieces have mercury levels exceeding the FDA limit = P(x > 10) = 0.1275
With the continuity correction factor added, the normal approximation to the binomial distribution problem is a good estimate of the binomial distribution, especially for variables close to the mean.
Step-by-step explanation:
To use the normal approximation to the binomial distribution problem, we need to compute the mean and the standard deviation.
With n = sample size = 20
p = proportion of the swordfish pieces available for sale have a level of mercury above the Food and Drug Administration (FDA) limit = 40% = 0.40
Mean = μ = np = 20 × 0.40 = 8
Standard deviation = σ = √[np(1-p)] = √(20×0.40×0.60) = 2.191
If X represents the number of swordfish pieces that have mercury levels exceeding the FDA limit
a) Probability that fewer than 2 of the 20 swordfish pieces have mercury levels exceeding the FDA limit.
Introducing the continuity correction factor,
P(X < 2) becomes P(x < 2-0.5) = P(x < 1.5)
We first normalize or standardize 1.5.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (1.5 - 8)/2.191 = - 2.97
To determine the required probability
P(x < 1.5) = P(z < -2 97)
We'll use data from the normal distribution table for these probabilities
P(X < 2) = P(x < 1.5) = P(z < -2 97) = 0.00149 = 0.0015
b) Probability that more than half of the 20 swordfish pieces have mercury levels exceeding the FDA limit
Adjusting with the continuity correction factor P(X > 10) = P(x > 10+0.5) = P(x > 10.5)
We first normalize or standardize 10.5
z = (x - μ)/σ = (10.5 - 8)/2.191 = 1.14
To determine the required probability
P(x > 10.5) = P(z > 1.14)
We'll use data from the normal distribution table for these probabilities
P(X > 10) = P(X > 10.5) = P(z > 1.14)
= 1 - P(z ≤ 1.14)
= 1 - 0.87286 = 0.12714 = 0.1271
c) Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of swordfishes to be examined = 20
x = Number of successes required = fewer than 2 and more than half, < 2 and > 10
p = probability of success = probability of a swordfish having mercury levels above the FDA limits = 0.40
q = probability of failure = probability of a swordfish NOT having mercury levels above the FDA limits = 1 - p = 1 - 0.40 = 0.60
P(X < 2) = P(X = 0) + P(X = 1) = 0.00052404938 = 0.0005
P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.12752124615 = 0.1275
With the continuity correction factor added, the normal approximation to the binomial distribution problem is a good estimate of the binomial distribution, especially for variables close to the mean.
Hope this Helps!!!
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is correct)
Answer:
\(40 {}^{ \frac{1}{2} } \)
Step-by-step explanation:
The last one is also the answer
Using the rational exponet rule,
\( \sqrt[n]{ {x}^{m} } = x {}^{ \frac{m}{n} } \)
Using this number,
\( \sqrt{40} \)
40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.
\(40 {}^{1} = 40\)
so our numerator is 1 so
\(40 {}^{ \frac{1}{2} } \)
Answer:
The correct answers are:
2sqrt10
40^1/2
Step-by-step explanation:
I got it right on the Plato test.
tobin is solving the equation 3 (x minus 1.25) = 11.25. His work is shown below.
3 (x minus 1.25) = 11.25. 3 x minus 3.75 = 11.25. 3 x minus 3.75 + 3.75 = 11.25 + 3.75. 3 x = 15. 3 x times 3 = 45 times 3. x = 135.
What mistake did Tobin make?
Tobin did not distribute the 3 correctly.
Tobin should have subtracted 3.75 from each side.
Tobin should have divided by 3.
Tobin did not make a mistake.
The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is
A = 3 ( x - 1.25 ) = 11.25
The value of the equation is 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now the value of the equation A is
The equation A is expressed as 3 (x minus 1.25) = 11.25
Substituting the value in the equation , we get
A = 3 ( x - 1.25 ) = 11.25
3 ( x - 1.25 ) = 11.25
On simplifying the equation , we get
Divide by 3 on both sides, we get
x - 1.25 = 3.75
Adding 1.25 on both sides of the equation , we get
x = 5
So, the value of x is 5
Hence , The solution of the equation expressed as 3 (x minus 1.25) = 11.25 is A = 3 ( x - 1.25 ) = 11.25
The value of the equation is 5
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Answer: Tobin should have divided by 3
Step-by-step explanation: I took the test please mark brainliest
Solve for m/CDF.
E
66°
D
с
Answer:
∠CDF = 48°
Step-by-step explanation:
∠CDE = ∠EDF + ∠CDF
Given that,
∠CDE = 114°
∠EDF = 66°
So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.
∠CDF = ∠CDE - ∠EDF
∠CDF = 114 - 66
∠CDF = 48°
FIRST RIGHT GETS BRAINLIEST
Answer:
-6 duh its easy right
Step-by-step explanation:
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2: Suppose a sample of 283 suspected criminals is drawn. Of these people, 93 were captured. Using the data, construct the 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.
The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).
What is the confidence interval of the data?Let's calculate the sample proportion;
Sample proportion = 93 / 283 = 0.33
The margin of error of the data can be calculated by;
Margin of error = Z * √(p(1-p) / n)
where:
Z is the z-score for the desired confidence level (in this case, 85%).p is the sample proportion (0.33).n is the sample size (283).Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05
The confidence interval can be calculated as
Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)
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Select the correct solution for the expression.
3
+
8
O
3
A.
ט|דט
+
9 100
or
5
13
o
В.
16
40
+
15
40
31
40
O
C.
24
34
10
40
+
=
40
40
O d. ſ +
3
colo
6
40
Answer:
A
Step-by-step explanation:
Cause they are adding both the denominator and numerator making question A a reasonable answer
The salt water fish tank at your house is filled with 22 inches of water. The water evaporates at a steady rate of 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.
Answer:
y = 22 - 2x
Step-by-step explanation:
Given the following :
Amount of water in salt water fish tank = 22 inches
Evaporation occurs steadily at the rate ; 2 inches per week
The depth y of water in the aquarium x weeks after filling :
The depth of water reduces as evaporation occurs ; and as such reduces by 2 inches per week
Hence,
After x weeks, the depth 'y' of water in the aquarium will be :
y = Initial position of water - 2(number of weeks)
y = 22 - 2x
y = new depth
x = number of weeks
A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
There are 450 student at a school if each classroom codes 30 students How many classrooms are Needed at the school
Answer:
15 rooms are needed at the school
Step-by-step explanation:
Solve:
Divide 450 (the number of students) by 30 (the number of students per classroom)
450/30= 15
Check your work:
30*15= 450
Hope this helps!
The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
find the area of the figure below, composed of a rectangle with two semicircles removed. Round to the nearest tenths place.
Answer:
Area of figure = 11.43 unit² (Approx.)
Step-by-step explanation:
Given:
Length = 6 unit
Width = 4 unit
Radius = 4/2 = 2 unit
Find:
Area of figure
Computation:
Area of figure = Area of rectangle - 2[Area of hemisphere]
Area of figure = [l x b] - 2[(πr²)/2]
Area of figure = [6 x 4] - 2[(3.14 x 2²)/2]
Area of figure = 24 - 12.57
Area of figure = 11.43 unit² (Approx.)
Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk cost $3.60.
The inequality 1.20x + 3.60 < 9.60 models this situation, where x is the number of pound of peaches. solve the inequality. How many pounds of peaches can Rammy buy?
Answer:
Rammy can buy 5 pounds of peaches
Step-by-step explanation:
1.20(5) + 3.60 = 9.60
subtract the cost of the gallon from the total amount and then divide the leftover cost $6 by $1.20 and you'll get 5.
What value equivalents to 5 7/8
How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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