Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
Urgent please help. Amanda surveyed 20 juniors and seniors at delamar high school to find the number of hours per week they spend working at part-time jobs. Her results are shown below.
Look at picture
Answer:
The correct statement is (C).
Step-by-step explanation:
The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:
Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15
Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10
Compute the mean of both the data:
[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]
[tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]
[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]
[tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]
Compute the range of both the data:
[tex]Range_{J}=Max._{J}-Min._{J}[/tex]
[tex]=20-0\\=20[/tex]
[tex]Range_{S}=Max._{S}-Min._{S}[/tex]
[tex]=20-0\\=20[/tex]
It can be seen that the range of both the data is same, i.e. 20.
Thus, the correct statement is (C).
how many speak spanish only?
how many does not speak any if the languages?
Answer:
52 people
Step-by-step explanation:
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
a) Expand and simplify (4x + 3)(2x - 5)
(2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4
Answer:
a. [tex]8x^{2} -14x-15[/tex]
b. [tex](x+3)(x+2)[/tex]
Step-by-step explanation:
A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)
For F, take the first terms of the 2 and multiply
[tex]4x*2x=8x^{2}[/tex]
For O, take the outer terms and multiply
[tex]4x*-5=-20x[/tex]
For I, take the inner terms and multiply
[tex]3*2x=6x[/tex]
For L, take the last terms and multiply
[tex]3*-5=-15[/tex]
After that, add all of them up
[tex]8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15[/tex]
B. Since the equation is in the form x^2+bx+c,
[tex](x+?)(x+?)[/tex]
Now we need to find 2 numbers that will add up to 5 and multiply to 6.
Here are some of the combinations of numbers that multiply to 6
3*2
1*6
-3*-2
-1*-6
3 and 2 add up to 5 so:
[tex](x+3)(x+2)[/tex]
What’s the 73rd term of the sequence 18,30,42
Answer:
Let's find the explicit rule for this arithmetic sequence. We have:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
Which operation means "split evenly"?
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
Answer:
division
Step-by-step explanation:
when you divide you split into even groups
For what values (cases) of the variables the expression does not exist: b/a+b
Answer:
The expression b/(a +b) does not exist when a = -b or b = -a
Step-by-step explanation:
The expression b/(a + b) does not exist if the denominator a + b = 0.
So, a = - b or b = -a.
So, the expression b/(a + b) does not exist when a = -b or b = -a.
When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.
When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.
So the expression b/(a +b) does not exist when a = -b or b = -a
A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute up to 50 pieces of candy. The store expects to give away at least 20 pieces of fudge and at least 15 truffles
Answer:
hdhufhduh
Step-by-step explanation:
All trapezoids are parallelograms.
A. True
B. False
Answer:
True
parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .
No, All trapezoids are not parallelograms.
We know that,
Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.
Hence, By definition of trapezoids,
All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
Learn more about Trapezoid visit:
https://brainly.com/question/1410008
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PQ=RQ and PS=RS
What does b=?
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
For more information, refer to the link given below:
https://brainly.com/question/7915845
Please help! Correct answer only!
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Step-by-step explanation:
Step(i):-
Given students created 19 clay objects, 12 of which were vases
probability of successes
[tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]
q = 1 - p = 1 - 0.6315 = 0.3685
Step(ii):-
Given n = 16
Let 'X' be the random variable in binomial distribution
[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 11 of the chosen clay objects are vases
[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]
we will use formula
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]
[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]
[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]
[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]
P(X = 11 ) = 0.16472
Conclusion:-
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*
1) -2
2) 2
3) 1/2
4) -1/2
Answer: -1/2
You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft
Answer:
a. 63 ft²
Step-by-step explanation:
A= 1/2(b1+b2)h
b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²Answer:
[tex]63 {ft}^{2} [/tex]
Answer A is correct
Step-by-step explanation:
[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]
hope this helps
Click on the bubble of the correct
answer.
Chris earned $855 for a temporary
job. She worked 36 hours the first
week and 40 hours the second
week. How much did Chris earn per
hour?
Select one:
Answer:
$11.25 / hr
Step-by-step explanation:
36x+40x=855
76x=855
x=11.25
Which of the following is a rational number but NOT an integer?
a. √2
b. -2
c. 2
d. 1/2
d. is a rational number.
Because it shows halfs and and halfs is a ratio.
And it shows this symbol (/)
Answer:
The answer is D.
Step-by-step explanation:
Rational number is a number that can be written in the form of fraction, a/b .
Integer is a positive or negative number.
£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
Answer:
The answer would be £198
principal (p) = 2200
Rate (R) = 0.5%
Time (T) = 18
Interest(I) = ?
Now,
or, Interest. = P×T×R/100
or, Interest = 2200×18×0.5/100
or, Interest = 19800/100
Hence, Interest = 198
Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?
Answer:
There are 54 total sweets
Step-by-step explanation:
Alex: Stephen : Bridget : total
4: 1 : 1 : 4+1+1 = 6
Alex gets 36
36/4 = 9
Multiply each number by 9
Alex: Stephen : Bridget : total
4*9: 1*9 : 1*9 : 6*9
36: 9 : 9 : 54
There are 54 total sweets
The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
Hello,
This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.
Budget = 69.1 billion
Converting this to scientific form = 6.91×10¹⁰
Population = 11.67 million
Converting this to scientific form = 1.167×10⁷
Budget per capita refers to budget allocated to each individual in the population.
Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.
Budget per capita = budget / total population
Budget per capita = 6.91×10¹⁰ / 1.169×⁷
Budget per capita = 5911.03
What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03
Solve for x.
7x+ 3
3x + 35
x = [?]
Answer:
Step-by-step explanation:
7x + 3 = 3x + 35
4x + 3 = 35
4x = 32
x = 8
The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
Answer:
Blue
Step-by-step explanation:
I just got this question correct
Answer:
Blue
Step-by-step explanation:
Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average
Answer:
the answer is D
Step-by-step explanation:
Because of how the students grade ar goung not down but up were the y or x
The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.
When does a straight line show a relationship between variables?The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.
If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.
Find out more on straight-line relationships between variables at https://brainly.com/question/1078661.
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Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2
Answer:
A is the answer
Step-by-step explanation:
5(2x+1)<10
10x+5<10
-5 -5
____________
10x<5
—— —-
10 10
———————-
x < 1/2
Answer:
a.x<1/2
Step-by-step explanation:
5(2x+1)<10
2x+1< 5/10
2x+1<2
2x<2−1
2x<1
x< 1/2
mark brianliest if my answer suit your question
A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour
Answer:
Bison, by 10 mph
Step-by-step explanation:
Convert ft/min to mi/hr.
3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr
The bison is faster than the deer by 10 mph.
Angle measure and segment lengths: Find "Y" and do not round your answer. Please answer in under five minutes, thanks!
Answer:
y = 11.2 in.
Step-by-step explanation:
To solve this question we will use the theorem of intersecting secants and tangents.
"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."
By this theorem,
5(5 + y) = (9)²
y + 5 = [tex]\frac{81}{5}[/tex]
y = 16.2 - 5
y = 11.2 in
Therefore, y = 11.2 in. will be the answer.
Answer:
11.2
Step-by-step explanation:
i got it right online
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answer:
-2 = not in domain
0= in domain
3= in domain
Factorise polynomials 15^2p-7p
Answer:
p ( 15p - 7)
Step-by-step explanation:
15 p^2 - 7p
The only common term is p so factor out p
p ( 15p - 7)
____________________________
15p^2-7p
take the common,
Ans: p(15p-7)
hope it helps
Good luck on your assignment
__________________________
line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p
Perpendicular slopes multiply to -1, so are negative reciprocals.
-1 / -3 = 1/3
Answer: B. 1/3
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
5 % of 401.16 m Give your answer rounded to 2 DP.
Answer: 20.058
Step-by-step explanation:
401.16 x 0 05
= 20 058
to determine the percentage of students interested in volunteering for a holiday food drive, franklin high school conducts a phone survey of all currently enrolled seniors. this is an example of _____.
A.) Collecting data
B.) Describing data
C.) Making an inference
Answer: A Collecting data
Step-by-step explanation:
just did the quiz