Answer:
4/6
Step-by-step explanation:
A die can roll out six numbers from 1 to 6.
Prime numbers from 1 to 6 are: 1,2,3,5
4 out of 6 are prime
Is the histogram uniform, symmetric, or skewed?
A. uniform
B. symmetric
C. skewed
Answer:
symmetric
Step-by-step explanation:
i just did this unit
I need help with question C
1. A room is 5 m by 3m. What is the area of the room?
Answer:
15m2 is the answer my friend.....
Answer:
Step-by-step explanation:
All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.
At age 20, someone sets up an IRA (individual retirement account) with an APR of 5%. At the end of each month he deposits $65 in the account. How much will the IRA contain when
←he
retires at age 65? Compare that amount to the total deposits made over the time period.
After retirement the IRA will contain $ 131,718.42
(Do not round until the final answer. Then round to the nearest cent as needed.)
The total deposits made over the time period is $
(Type a whole number)
CETT
Answer:
total deposits: $35,100
Step-by-step explanation:
You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.
Payments12 payments per year of $65 for 45 years will have a total value of ...
12·65·45 = 35100
Total deposits will be $35,100.
William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59
*Answer*
15:47
Step-by-step explanation:
He left; 15:03
Walk for; 12mins
Spends extra;4min
So by my side,
I'll sum up those values we're having to find the total time that was spent
12+4= 16mins
So, at that time when he reached at the station it was 15:19 when we add those extra mins
And so I think it'll 15:47
My thought told me so though
What’s the circumference of a circle with radius of 10 inches? Use 3.14 for pie
Write the following set in roster method:
The set of states in the United States whose names begin with the letter T.
Please help I’ll give brainliest to whoever knows the answer!! Thank you!!
Answer:
the great
Step-by-step explanation:
usa united states
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
Find the LCM for
10, 50, and 20
Answer: The LCM is 100
Step-by-step explanation: source: trust me bro
Answer:
100
Step-by-step explanation:
In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?
To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.
What is a percentage?A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.
Given that Lupita had $115 in her bank account at the beginning of June
The amount Lupita had set aside climbed to $165 in July.
We are expected to calculate the percentage growth in money.
% increase
\(= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%\)
To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.
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Is this statement true or false?
Ore is a chunk of rock that contains a large amount of metal. Most minerals come from rock that is mined from the Earth’s crust^,^
Which ordered pair is a solution of the equation?
-2 - 4y = -10
Answer:
the linear equation is y=2 so anything that lands on that line after it is graphed, so the option (3,2)
Step-by-step explanation:
help me quick please
Answer:
(4, 0)
Step-by-step explanation:
To solve a linear system of equations graphically, graph the given equations and locate where the two lines intersect. The point of intersection is the solution to a system of linear equations.
Given linear system of equations:
\(\begin{cases}y=-\dfrac{1}{2}x+2\\3x-2y=12\end{cases}\)
Rewrite the second equation to make y the subject:
\(\implies 3x-2y=12\)
\(\implies 3x-12=2y\)
\(\implies y=\dfrac{3}{2}x-6\)
To graph a linear equation, find two points on the line by substituting two values of x into the equation. Plot the points and draw a straight line through them.
Equation 1
\(x=0 \implies y=-\dfrac{1}{2}(0)+2=2 \implies (0, 2)\)
\(x=6 \implies y=-\dfrac{1}{2}(6)+2=-1 \implies (6,-1)\)
Equation 2
\(x=0 \implies y=\dfrac{3}{2}(0)-6=-6 \implies (0,-6)\)
\(x=6 \implies y=\dfrac{3}{2}(6)-6=3 \implies (6, 3)\)
From inspection of the graph (see attached), the point of intersection is (4, 0).
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Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5
Answer:
Given equations are,
5x+2y=−2 (1)
3x−5y=17.4 (2)
Multiply equation (1) by 5 and equation (2) by 2, we get,
5(5x+2y)=5×−2
∴25x+10y=−10 (3)
2(3x−5y)=2×17.4
∴6x−10y=34.8 (4)
Adding equations (3) and (4), we get,
31x=24.8
∴x=
31
24.8
Put this value in equation (1), we get,
5(
31
24.8
)+2y=−2
∴
31
124
+2y=−2
∴2y=−2−
31
124
∴2y=
31
−186
∴y=
31
−93
Step-by-step explanation:
Solve the equation.
4/5 + x = 3/7
a. 13/15
b. - 1/2
c. 1 8/35
d. - 13/35
Answer:
-13/35
Step-by-step explanation:
multiply each side of equation by LCD of 5 and 7 (which is 35) to eliminate fractions
you get, 28 + 35x = 15
35x = -13
Answer:
-13/35
Step-by-step explanation:
4/5 + x = 3/7
subtract both sides by 4/5
x = \(\frac{3}{7} - \frac{4}{5}\)
find the common denominator of 5 and 7
x = \(\frac{15}{35} - \frac{28}{35}\)
x = -13/35
A, B and C lie on a straight line.
Given that angle y = 110° and angle z = 99°, work out x.
Answer:
\(since \: the \: sum \: of \: these \: angles \: is \: greater \: than \: 180° \\ they \: must \: be \: angles \: at\: a \: point \: in \: the \: circle \\ 110° + 99° + x = 360° \\ x = 360° - (110° + 99°) \\ x = 151°\)
The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people listen to these two radio stations, how many listeners does the FM station have?
The number of listeners is given from the total number of listeners and
the ratio of the listeners between the two stations.
Required:
The FM sister station has 21,000 listenersHow is the given ratio of listeners used to find the number of listeners?Given:
The daily listening audience of the AM station = 4 × The audience of the FM sister station
The number of people that listen to the two stations = 105,000
Required:
The number of listeners of the FM station
Solution:
The ratio of the listeners is 1:4
Let x represent the number of listeners of the FM sister station, we have;
The number of listeners of AM radio station = 4·x
Which gives;
4·x + x = 105,000
5·x = 105,000
\(x = \dfrac{105,000}{5} = \mathbf{21,000}\)
The number of listeners of the FM sister station, x = 21,000The number of listeners of he radio station = 21,000 × 4 = 84,000
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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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Help I don’t get this at all and I need a answer fast
Answer:
3+x = y+6
Step-by-step explanation:
I hope this helps a little i have done algebra in a hot minute
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 400 ft greater than the width.
The flag's width is and the length is what?
PLEASE HURRY
Answer:
Step-by-step explanation:
Let's assume that the width of the flag is "w" ft.
According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:
length = w + 400
Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:
perimeter = 2(length + width)
Substituting the values, we get:
2120 = 2[(w+400) + w]
2120 = 2[2w + 400]
2120 = 4w + 800
4w = 1320
w = 330
Hence, the width of the flag is 330ft.
From our equation for the length, we have:
length = w + 400
length = 330 + 400
length = 730
Therefore, the length of the flag is 730ft.
The question is attached below
The expected number of pizzas to be stuffed crust is given as follows:
500.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The sample size is given as follows:
408 + 224 + 208 + 200 = 1040.
Out of these, 208 are stuffed crust, hence the probability is given as follows:
p = 208/1040.
Out of 2500 pizzas, the expected number is then given as follows:
E(X) = 2500 x 208/1040
E(X) = 500.
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Dinner costs $34.00 You also leave a 20% tip. How much did you pay
in total?
PLEASE ANSWER QUICKLY
Answer:
$40.80
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.
This makes the total cost of your meal (to write on your charge slip or other payment)
$34.00 + $6.80 = $40.80.
Answer:
$40.80
Step-by-step explanation:
If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).
Convert 120% into a decimal: 120% = 120/100 = 1.2
So 120% of $34.00 = 1.2 × 34 = $40.80
Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?
Answer: See explanation
Step-by-step explanation:
You didn't specify the equations but let me solve the question.
55% of 80.
The above statement simply means that you need to multiply 55% by 80. This will be:
= 55% of 80
= 55/100 × 80
= 0.55 × 80
= 44
Therefore, 55% of 80 is 44
Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.
For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.Find the value of cos(A-B)cos(A−B) in simplest form.
The value of cos(A-B)cos(A−B) in the simplest form is 76/861
What is acute angles?The angles having measures less than 90° is considered as an acute angle.
Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.
Finding sinA and cosB,
cos²x+sin²x = 1
Therefore,
sinA = \(\sqrt{1-cos^{2}A}\)
sinA = √1-(⁴⁰/₄₁)²
sinA = 9/41
Now,
cosB = \(\sqrt{1-sin^{2}B }\)
cosB = √1-(²⁰/₂₁)²
cosB = √41/21
Using formula,
cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)
cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]
= 40√41/861-180/861
= [256-180]/861
= 76/861
Hence, the value of cos(A+B)cos(A−B) is 76/861
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The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X
Please helppppp
Answer:
x = 11
Step-by-step explanation:
Given that,
The slope of the line, m = 3/4
First point = (x,2)
Another point = (3,-4)
We need to find the value of x.
The slope of a line is given by the formula as follows :
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4
Put all the values,
\(\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11\)
So, the value of x is 11.
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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Thank you for the help!
Answer:
c 57
Step-by-step explanation:
Can anybody help meeeeeeeeeeee
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly chosen student took Form B and did not pass?
Answer:
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Took Form B.
Event B: Did not pass.
Half of a class took Form A of a test, and half took Form B.
This means that \(P(A) = 0.5\)
Of the students who took form B, 39% passed.
So 100 - 39 = 61% did not pass, which means that \(P(B|A) = 0.61\).
What is the probability that a randomly chosen student took Form B and did not pass?
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
\(P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305\)
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A
Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
Step(i):-
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
Step(ii):-
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }\)
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000