Wificall
65%
Workers in an office of 90 staff were
asked their favourite type of take-
away.
The results are summarised in the
table.
Take-away
Frequency Angle
Pizza
17
a
Curry
11
b
Fish & chips
10
с
Kebab
3
d
Other
49
e
Work out the size of each angle to
draw a pie chart.
a =
b =
0 c = 0
C
d=
e =
0
=
0
Answers
Answer:
Step-by-step explanation:
Related Questions
Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
Learn more about numbers in https://brainly.com/question/24908711
#SPJ1
0 = 4 + n/5 two step equations
Answers
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
0=n
Step-by-step explanation:
1. 0=4+n/5
add 4 and n
2. 0=4n/5
×5. ×5
3. 0=4n
-- --
4 4
4. 0=n
Look at the picture for a more detailed steps
One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
Answers
B
48=60x80%
explanation please and thank you hurry please
Answers
Answer:
you have to add the circumference of the circle C≈131.95 to the two 100m sides of the rectangle
Step-by-step explanation:
In a certain video game, there is a mini-game where the main character can choose from a selection of twenty
presents. The presents are wrapped, so the character does not know what is in them. If 7 presents contain money, 3
presents contain gems, 6 presents contain ore, and 4 presents contain fish, what is the probability that the main
character does not choose a present that contains a gem?
Your answer should be an exact decimal value.
The probability of randomly selecting a present that does not contain a gem is
Answers
Answer:
There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.
The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.
hope it helps you...
Sadam earns 1.5% commission on homes that he sells. Last month, he sold $3,000,000 worth of homes. How much money did he earn last month?
Answers
tan A = 2.053 what is the measure of angle A
Answers
Answer:
A =64.03
Step-by-step explanation:
tan A = 2.053
A = Arctan( 2.053)
A =64.03
Which expression is equivalent to (xy)z?
Answers
Answer:
\((xy)z = xyz\)
Step-by-step explanation:
Given
\((xy)z\)
Required
Equivalent expression
No option is given. So, I will solve generally.
To solve this question, we simply open the bracket.
So:
\((xy)z = xyz\)
Solve each equation.
12 - b = 12.5
Answers
= -0.5
Step-by-step explanation:
1. Rearrange terms
12 - = 12.5 —> - + 12 = 12.5
2. Subtract 12 from both sides of the equation
- + 12 = 12.5
- + 12 -12 = 12.5 -12
^ ^
Sub Sub
- = -0.5
3. Simplify ( divide both sides by -1)
- 0.5
___ = ____
-1 -1
= -0.5
The solution to the equation 12 - b = 12.5 is b = -0.5, which is determined by substituting -0.5 for 'b' in the equation, it will satisfy the equality and make both sides of the equation equal.
The equation is given as follows:
12 - b = 12.5
To solve the equation 12 - b = 12.5, we have to isolate the variable 'b' on one side of the equation.
First, we can subtract 12 from both sides to get rid of the constant term on the left side:
12 - b - 12 = 12.5 - 12
Simplifying, we have:
-b = 0.5
Next, we can multiply both sides of the equation by -1 to solve for 'b' by isolating it:
(-1)(-b) = (-1)(0.5)
This yields:
b = -0.5
Therefore, the solution to the equation 12 - b = 12.5 is b = -0.5.
Learn more about the equations here:
brainly.com/question/10413253
#SPJ4
Problem
What is the slope of the line that contains these points?
***********
slope:
Answers
Explanation: the formula to find slope is
y1 - y2/x1 - x2
When you substitute the values in this formula, you get
= 36 - 12/8 - 11
= 24/-3
= -8
Therefore, the slope is -8
Solve for x
2/5(2)^x = 32/5
Answers
Rearrange = 2^ 1+x /5 =32/5
Multiply = 5 x 2^x+1/5 = 5 x 32/5
Cancel multiplied terms in denominator= 2^ x+1=32
X +1=5
Subtract 1 from both sides
X+1-1= 5-1
New term= x=5-1=4
X=4
10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2
Answers
A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).
To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.
The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.
Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.
The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.
For more questions on: diameter
https://brainly.com/question/30460318
#SPJ8
What is the quotient of the following division problem?
X+ 2
X
+1) x2+3x+2
x²+x
0+2x+ 2
2x+2
0
O x + 2
X + 1
O x2 + 3x + 2
оо
Answers
Answer:
x + 2
Step-by-step explanation:
The quotient for the given dividend and divisor is x+2. Therefore, option A is the correct answer.
What is a quotient?A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Given that, dividend = x²+3x+2 and divisor = x+1
The factorization of x²+3x+2 is
x²+2x+1x+2
= x(x+2)+1(x+2)
= (x+2)(x+1)
Now, x²+3x+2/(x+1)
= (x+2)(x+1)/(x+1)
= (x+2)
So, the quotient is x+2
Therefore, option A is the correct answer.
Learn more about the quotient here:
https://brainly.com/question/16134410.
#SPJ7
What is the combined probability of getting a heads when flipping a coin and
an odd number when spinning a spinner with 4 equal parts numbered 1 to 4?
OA)
B)
ANNI -
o
100
Answers
Answer:
25%
Step-by-step explanation:
50% x 50%
Answer:
A. 1/5
Step-by-step explanation:
got on edge
4. The residual is the difference between the ___________ and the ___________. A) predicted value of ; observed value of B) observed value of ; predicted value of C) predicted value of ; observed value of D) predicted value of ; observed value of 5. A Type I error is the mistake of __________ when it is actually true. A) Failing to reject the null hypothesis.B) Failing to reject the alternative hypothesis.C) Rejecting the null hypothesis.D) Rejecting the alternative hypothesis.6. Which of the following statements concerning the linear correlation coefficient are true?I. If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables.II. If the slope of the regression line is negative, then the linear correlation coefficient is negative.III. The value of the linear correlation coefficient always lies between −1 and 1.IV. A linear correlation coefficient of 0.62 suggests a stronger linear relationshipthan a linear correlation coefficient of −0.82.A) IandIV B)IIIandIV C)IIandIII D)IandII 7. The _____________ is the probability of getting a test statistic at least as extreme as the one representing the sample data, assuming that the null hypothesis is true.A) −B) Sample proportionC) Critical valueD) Level of significance8. Determine whether the samples are independent or dependent. The effectiveness of a headache medicine is tested by measuring the intensity of a headache in patients before and after drug treatment. The data consist of before and after intensities for each patient.A) Independent samples B) Dependent SamplesPart II. Short AnswerWrite the word or phrase that best completes each statement or answers the question.1. For each of 200 randomly selected cities, Gary recorded the number of churches in the city () and the number of homicides in the past decade (). He calculated the linear correlation coefficient and was surprised to find a strong positive linear correlation for the two variables. Does this suggest that building new churches causes an increase in the number of homicides? Why do you think that a strong positive linear correlation coefficient was obtained? Explain your answer with reference to the term lurking variable.2. A set of data consists of the number of years that applicants for foreign service jobs have studied German and the grades that they received on a proficiency test. The following regression equation is obtained: ? = 31.6 + 10.9, where represents the number of years of study and represents the grade on the test.a. Identify the predictor and response variables.b. Interpret the regression equation by interpreting the y-intercept and slope.3. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or -value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or -value (or range of -values) as appropriate and state the final conclusion that addresses the original claim. A cereal company claims that the mean weight of the cereal in its packets is 14. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below.14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level.
Answers
SOLUTION
4. The residual is the difference between the observed value of y
and the predicted value of y -- OPTION B
EXPLANATION:
In statistical models, a residual is the difference between the observed value and the mean value that the model predicts for that observation.
Tamarisk Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company's current truck (not the least of which is that it runs). The new truck would cost $56,619. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,100. At the end of eight years, the company will sell the truck for an estimated $28,500. Traditionally, the company has used a general rule that it should not accept a proposal unless it has a payback period that is less than 50% of the asset's estimated useful life. Thomas Anderson, a new manager, has suggested that the company should not rely only on the payback approach but should also use the net present value method when evaluating new projects. The company's cost of capital is 8%.
Answers
The cash Payback period is 6.66 years and the Net present value of the proposed investment is $5,329 (to see the calculation please refer the attached image.)
Computation of Payback Period
Cash Payback Period = Cost of truck/Annual cost savings.
Given that-
Cost of truck = $56,619
Annual cost savings = $8,100
Putting values, we get-
Cash payback period = ($56,619/$8,100) cash payback period
cash payback period = 6.66 years.
To calculate the PVF at 8% below is the formula
P = (1/\((1+r)^{n}\))
Where,
P = the Present Value Factor.
r = the interest rate
n = the number of periods over which payments are made.
To calculate the Present Value = PVF at 8% x Amount.
Hence, As the Net Present Value is positive, Tamarisk corporation should purchase the truck.
Learn more about Net Present Value here https://brainly.com/question/18848923
#SPJ9
A shipment of 68 laptops, including 8 that are defective, is sent to a retail store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found to be defective. What is the probability that the shipment will be rejected?
Answers
The probability that the shipment will be rejected is 0.15.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of an event. We may be sure or not sure of the results of an event. In such cases, we say that there is a probability of this event to occur or not occur. Probability generally has great applications in games, in business to make probability-based predictions, and also probability has extensive applications in this new area of artificial intelligence.
Probability of shipment been rejected;
Sample space = 68
To be tested = 10
Therefore, n(S) = 68
n(A) = 10
Probability Formula;
P(shipment rejected) = (n(A))/(n(s))
P(shipment rejected) = 10/68
P(shipment rejected) = 0.15
The probability that the shipment will be rejected after random testing will be 0.15.
Learn more about probability:https://brainly.com/question/24756209
#SPJ1
Let u = - 3i + 2j, v = 3i - 3j and w = - 3j
Find the specified scalar or vector.
5u(3v - 4w)
Answers
If u = - 3i + 2i, v = 2i - 2j and w = - 4j, 5u(3v - 4w) is a scalar quantity with a value of 440.
To evaluate the expression 5u(3v - 4w), we need to first perform the scalar multiplication and then the vector subtraction. We can start by computing the scalar multiplication of 3v - 4w:
3v - 4w = 3(2i - 2j) - 4(-4j) = 6i + 14j
Next, we can perform the scalar multiplication of u and the vector 6i + 14j:
5u(3v - 4w) = 5(-3i + 2j)(6i + 14j)
Expanding the product, we get:
5(-18i² + 36ij + 42ij - 28j²)
Since i² = j² = -1, we can simplify this expression as:
5(18 + 70) = 440
Therefore, 5u(3v - 4w) is a scalar quantity with a value of 440.
The key concept used in this problem is the distributive property of scalar multiplication over vector addition and subtraction. This property allows us to simplify expressions that involve scalar multiplication and vector operations by distributing the scalar to each component of the vector.
To learn more about vectors click on,
brainly.com/question/9201864
#SPJ1
PLEASE HURRY AND ANSWER!!!!
Answers
The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
Learn more about probability here:
https://brainly.com/question/30657432
#SPJ1
Please help What is the value of this expression when a = 7 and b = -4? |2a| - b/ 3
Answers
Answer:
15 1/3
Step-by-step explanation:
a = 7
b = -4
plugging the above value in |2a| - b/ 3
|2a| - b/ 3 = |2*7| - (-4)/ 3
|x| is modulus function so whatever be the value of be it negative or positive, modulus of this x is positive x
=> |14| + 4/ 3 = 14 + 4/3
=> (14*3 + 4)/3 = (42+4)/3 = 46/3 = 15 1/3
|2a| - b/ 3 = 15 1/3 when a = 7 and b = -4
Mr ,Smith buying pens and pencils for his classroom.Pens (x) cost $5 per pack and pencils (y) cost $4 per pack-he needs to spend $40 or more to get free shipping
Answers
Answer:
breathe in
Step-by-step explanation:
about how many times large is 7.9x10^4 than 2.1x10^3
Answers
3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³. This can be solved using scientific notation method.
What is scientific notation?A method of writing numbers that combines a power of 10 with a number between 1 and 10. Using scientific notation, one may express extremely big or extremely small values. Once a number between 1 and 10 has been multiplied by such a power of 10, it is then expressed in scientific notation. For instance, 6.9 × 10⁸ can be used to represent the number 690,000,000.
The main goal of scientific notation is to simplify computations using numbers that are abnormally big or tiny. When a number is written in scientific notation, all of the digits are important since zeros are no longer utilized to set the decimal point.
For: 7.9 x 10⁴
= (79/10) x 10⁴
= 79 x 10³
on the other hand for: 2.1 x 10³
Thus, 3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³.
To know more about scientific notation refer to:
https://brainly.com/question/1767229
#SPJ1
To mail a letter to Vienna, Austria the post office charges a flat rate of $9.25 and an additional $0.75 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.75x+9.25, where y is the cost of the postage and x is the weight of the letter in ounces.
Answers
Answer:
See attachment for graph
Step-by-step explanation:
Given
\(y = 0.75x + 9.25\)
Required [Missing from the question]
Graph the equation
First, we determine two points that satisfy the equation.
Let: \(x = 1\)
\(y = 0.75x + 9.25\) becomes
\(y = 0.75*1 + 9.25 = 0.75 + 9.25 =10\)
This point will be represented as:
\((1,10)\)
Let: \(x = 5\)
\(y = 0.75x + 9.25\) becomes
\(y = 0.75 * 5 + 9.25 = 3.75 + 9.25 = 13\)
This point will be represented as:
\((5,13)\)
So, we plot: \((1,10)\) and \((5,13)\)
See attachment for graph
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answers
Answer:16x16
Step-by-step explanation:
Evaluate the following algebraic expressions by substituting z raised to the second power where z=7
Answers
Answer:
49
Step-by-step explanation:
z=7 which means that 7 raised to the second power is 7 multiplied by itself. When you do 7 x 7 your answer will be 49. Hope that helps :)
Find the L. C. M in division method of the following
a) 18,27
b) 21,38
Answers
Answer:
hope it will be helpful to you.....
prove the identity 2(sin⁶theta + cos⁶theta) - 3(sin⁴ + cos⁴theta) + 1 = 0
Answers
Answer:
LHS=2(sin
6
θ+cos
6
θ)−3(sin
4
θ+cos
4
θ)+1
=2{(sin
2
θ+cos
2
θ)
3
−3sin
2
θcos
2
θ(sin
2
θ+cos
2
θ)}−3(sin
2
θ+cos
2
θ)
2
−2(sin
2
θcos
2
θ)}+1
We know, [sin²x+cos²x=1]
=2{1−3sin
2
θcos
2
θ}−3{1−2sin
2
θcos
2
θ}+1
=2−6sin
2
θcos
2
θ−3+6sin
2
θcos
2
θ+1
=0
=RHS
Step-by-step explanation:
Pls help answer this
Sometimes I go backwards but often I go forward, I can trip, I can dance. Just play the right music and I’ll even do the conga. What am I?
Answers
Answer:
It's your feet eeeeeeee
Answer:
Feet.
Step-by-step explanation:
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
b. There are how many
ways to arrange the letters in HONEYSUCKLE.
(Type a whole number.)