Answer:
Step-by-step explanation:
To make a histogram, follow these steps:
On the vertical axis, place frequencies. Label this axis "Frequency".On the horizontal axis, place the lower value of each interval. Draw a bar extending from the lower value of each interval to the lower value of the next interval.What does a histogram mean?
Histograms are equivalent to bar charts; they are a means for data counts to be displayed. Real counts against categories are seen in a bar graph; the bar height represents the number of objects in that category. In "bins", a histogram reveals the same categorical variables.
Create a Histogram: Stages for Steps
Sample question: With the following test scores, construct a histogram: 99, 97, 94, 88, 84, 81, 80, 77, 71, 25.
Phase 1: Diagram the x and y axes and label them. The x-axis would be labelled "score" for this case, and the y-axis would be labelled "relative percentage of frequency ."
Phase 2: Pick the number of bins (in statistics, how to choose bin sizes) and mark your graph. Query, Grou, Grou, for this sample,It's a smart option for groups of 10 (the x-axis values are the bins) (it looks like you'll have 5 bars of one or two objects in the group).
Step 3: To get an indication of where to put the frequency "ticks," divide 100 by the number of data points. In our data collection, we have 10 objects, so it makes sense to count 100/10 = 10 percent (one item would equal 10 percent of the total).
Build a histogram
Step 4: Count how many objects are in each bin and then outline a rectangle corresponding to the percentage of the total filled by the bin on the graph. The first bin (20-30) has 1 object in this sample data package, with 70-80 getting two items. When an object lands on a bin boundary (i.e. 80), bring it up in the next bin (80 will go to 80-90)
(hope this helps can i plz have brainlist :D hehe)
sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW
Answer:
Sam will be 24 and his mom U can figure that out
Step-by-step explanation:
Math
Answer:
24
Step-by-step explanation:
`12
Solve 3 - x=-9
a. x=16
b.x=12
c.x=-6
d.x=12
Answer:
3 - x =-9
3+ 9 =x
x = 12
so, correct answer
x =12
Write as a single log:
2ln x + 2ln 4
Answer:
2ln 4x or ln (4x)²Step-by-step explanation:
Use properties:
log a + log b = log abn log a = log aⁿSimplify:
2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²hayden and jamie completed 20 math problems together, jamie completed 2 more than twice the number that hayden completed. Let p represent the number of math problems hayden completed. Write an equation that can be used to find the number of math problems that jamie completed.
Answer:
2p+2+p = 20
Step-by-step explanation:
Let p represent the number of Math problems Hayden completed.
Let 2p+2 represent the number of Math problems Jamie completed.
Next, we have to add them together so that the total Math problems they completed will be equal to 20.
Let's solve.
2p+2+p = 203p+2 = 203p = 20-23p = 18p = [tex]\frac{18}{3}[/tex]p = 6Therefore, Hayden completed 6 Math problems.
Next, we have to get how many problems Jamie completed.
Let's solve.
2p+2 = ?2(6)+2 = ?12+2 = ?14Therefore, Jamie completed 14 Math problems.
Let's check.
2p+2+p = 2014+6 = 2020 = 20It's correct!
please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3
Square root of 29
Square root of 21
7
Answer:
[tex]\sqrt{21}[/tex]
Step-by-step explanation:
Use the pythagorean theoreom, a^2+b^2=c^2.
We know the hypontenuse and one of the sdes
a^2+2^2=5^2
a^2+4=25
subract four from both sides to isolate variable
a^2=21
square root both sides and you have the answer of sq root 21!
Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem
at what value of x, the function 2x^3/3+2x^2-6x+4 is minimum
Answer:
x=1
Step-by-step explanation:
We are given that
[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]
We have to find the value of x for which function is minimum.
Differentiate w.r.t x
[tex]f'(x)=2x^2+4x-6[/tex]
Substitute f'(x)=0
[tex]2x^2+4x-6=0[/tex]
[tex]x^2+2x-3=0[/tex]
[tex]x^2+3x-x-3=0[/tex]
[tex]x(x+3)-1(x+3)=0[/tex]
[tex](x-1)(x+3)=0[/tex]
[tex]x=1,-3[/tex]
Again, differentiate w.r.t x
[tex]f''(x)=4x+4[/tex]
[tex]f''(1)=4(1)+4=8>0[/tex]
[tex]f''(-3)=4(-3)+4=-8<0[/tex]
Hence, the function is minimum at x=1
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
is 71.08 greater than 71.106
Answer:
no, 71.106 is greater
Step-by-step explanation:
71.08= 71 and 8/100
71.106= 71 and 10/100
71.106's fraction is larger
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.
Answer:
Step-by-step explanation:
“The area of a rectangular garden is 120 square meters.”
LW = 120
“The width is 4 meters longer than one-half of the length.”
W = 0.5L + 4
L = 2W-8
Substitution
(2W-8)W = 120
2W^2-8W-120 = 0
W^2 -4W-60 = 0
W = 10, -6
-6 is an extraneous solution.
W = 10 meters
L = 2W-8 = 12 meters
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
A solution consisting of 95 mg of dopamine in 95 mL of solution is administered at a rate of 30 ml/hr. Complete parts (a) and (b) below.
a. What is the flow rate in mg of dopamine per hour?
mg/hr (Type an integer or decimal rounded to the nearest thousandth as needed.)
Answer:
30 mg
Step-by-step explanation:
Flow rate of dopamine per hour:
Flow rate of dopamine per hour = (95g)*(30ml/hr) / 95ml
Flow rate of dopamine per hour = 30mg
PLEASE HELP ASAP - WILL GIVE BRAINLIEST TO BEST ANSWER
Solve is for solving the answer, and check is for checking your work. Is it alright if anybody could solve it before an hour?
Answer:
1. x = 6 check: 3 * 6 = 18
2. x = -12 check: -12/3 = -4
3. x = 11 check: 11 * 11 = 121
4. y = -4 check: -8 * -4 = 32
Step-by-step explanation:
1. x=6 ( 3×6=18)
2. x = -12 (-12÷3 = -4)
3. x=11 (11×11=121)
4 y=-4 (-8 × -4 = 32)
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]Can someone help? And show me how to get the answer please..
Answer:
2.6 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume (V) of cylinder = 258¾ in³
Height (h) of cylinder = 12 in
Radius (r) =.?
NOTE: Pi (π) = 3.14
The radius of the cylinder can be obtained as follow:
V = πr²h
258¾ = 3.14 × r² × 12
258.75 = 37.68 × r²
Divide both side by 37.68
r² = 258.75 / 37.68
Take the square root of both side
r = √(258.75 / 37.68)
r = 2.6 in
Therefore, the radius of the cylinder is 2.6 in.
Prove that the value of the expression: 731^2−631^2 is divisible by 100
Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100
can anyone help me get the surface area of
2cm
5cm
8cm
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.
12). Omar has $8,274 in a savings account that earns 10.5% interest, compounded annually. To the nearest cent, how much will he have in 2 years? * O A). $1,737.54 O B). $1,828.76 C). $10,011.54 OD). $10,102.76
Answer:
.
Step-by-step explanation:
If these two shapes are similar, what is the measure of the missing length c?
c=__kilometers
Answer:
3
Step-by-step explanation:
6 ÷ 2 = 3
1 × 3 = 3km
I hope this is actually right ^-^
What is the solution to f(x)=g(x) ?
If f(x) = x3+ x2and g(x) = x4+ x2+ x, what is the value of f(x) –g(x) when x = 1?
A) -2
B) -1
C) 1
D) 5
Answer:
B) -1Step-by-step explanation:
[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]
METHOD 1[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]
METHOD 2[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]
x
8
17
Find the exact value of x.
X=
Answer:
621
629
Step-by-step explanation:
We know that
sin
(
x
+
y
)
=
sin
x
cos
y
+
sin
y
cos
x
If
cos
x
=
8
17
and
sin
y
=
12
37
We can use,
cos
2
x
+
sin
2
x
=
1
and
cos
2
y
+
sin
2
y
=
1
To calculate
sin
x
and
cos
y
sin
2
x
=
1
−
cos
2
x
=
1
−
(
8
17
)
2
=
225
17
2
sin
x
=
15
17
cos
2
y
=
1
−
sin
2
y
=
1
−
(
12
37
)
2
=
1225
37
2
cos
y
=
35
37
so,
sin
(
x
+
y
)
=
15
17
⋅
35
37
+
12
37
⋅
8
17
=
621
629
Answer link
Shwetank Mauria
Nov 22, 2016
sin
(
x
+
y
)
=
621
629
or
−
429
629
depending on the quadrant in which sine and cosine lie.
Explanation:
Before we commence further, it may be mentioned that as
cos
x
=
8
17
,
x
is in
Q
1
or
Q
4
i.e.
sin
x
could be positive or negative and as
sin
y
=
12
37
,
y
is in
Q
1
or
Q
2
i.e.
cos
y
could be positive or negative.
Hence four combinations for
(
x
+
y
)
are there and for
sin
(
x
+
y
)
=
sin
x
cos
y
+
cos
x
sin
y
, there are four possibilities.
Now as
cos
x
=
8
17
,
sin
x
=
√
1
−
(
8
17
)
2
=
√
1
−
64
289
=
√
225
289
=
±
15
17
and
as
sin
y
=
12
37
,
cos
y
=
√
1
−
(
12
37
)
2
=
√
1
−
144
1369
=
√
1225
1369
=
±
35
37
Hence,
(1) when
x
and
y
are in
Q
1
sin
(
x
+
y
)
=
15
17
×
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(2) when
x
is in
Q
1
and
y
is in
Q
2
sin
(
x
+
y
)
=
15
17
×
−
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
(3) when
x
is in
Q
4
and
y
is in
Q
2
sin
(
x
+
y
)
=
−
15
17
×
−
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(4) when
x
is in
Q
4
and
y
is in
Q
1
sin
(
x
+
y
)
=
−
15
17
×
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
Hence,
sin
(
x
+
y
)
=
621
629
or
−
429
629
5. In 1971 the cumulative US national debt was $3.9812974445554x1011. In 2014 the cumulative US national debt was $1.782407138073382x1013. Calculate the actual difference. Write your answer in decimal form. (4 pts)
Answer:
12.036549522
Step-by-step explanation:
Plz Help!
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
x= 33 because 180 – 147 = 33
x = 62 because 147 – 85 = 62 and 85 + 62 = 147
x = 95 because 180 – 85 = 95 and 85 + 95 = 180
x = 118 because
180 147 + 85
33 + 85
=118
Answer:
B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147
Step-by-step explanation:
We are given that
[tex]\angle ABC=85^{\circ}[/tex]
Exterior angle=[tex]147^{\circ}[/tex]
We have to find the value of x.
We know that
Exterior angle=Sum of opposite interior angles of triangle
Using the property
[tex]x+85=147[/tex]
Subtract 85 from both sides we get
[tex]x=147-85[/tex]
[tex]x=62[/tex]
Option B is true.
B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147
An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find the speed of the jet with no wind.
Answer:
The speed of the jet with no wind is 240 miles per hour.
Step-by-step explanation:
The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:
In favor of wind
[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)
Against wind
[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)
Where:
[tex]s[/tex] - Travelled distance, measured in miles.
[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.
[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.
[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.
If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:
[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)
[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)
[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]
[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]
[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]
[tex]2\cdot s = 2800[/tex]
[tex]s = 1400\,mi[/tex]
From (3), we find that speed of the jet with no wind is:
[tex]v_{J/W} = \frac{s}{5}-40[/tex]
[tex]v_{J/W} = \frac{1400}{5}-40[/tex]
[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]
The speed of the jet with no wind is 240 miles per hour.
Suppose that 8% of all cars produced at Plant A have a certain defect, and 5\% of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of 150 cars from each plant. The manager will then look at the difference (A - B) between the proportions of cars with the defect in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer:
The answer is "Choice d"
Step-by-step explanation:
Please find the complete question in the attached file.
Faulty factory cars in a plant [tex]A = 8\% \ of\ 150 \ = 12 > 10[/tex]
Faulty factory cars in a plant [tex]B = 5\% \ of \ 150 = 7.5 < 10[/tex]
This condition of the normal distribution is not met so because the number of negative cars from plant B is less than 10, that's why the choice d is correct.
Answer: D
Not normal, because we expect fewer than 10 defective cars in Plant B. [tex].05*150=7.5[/tex]
Step-by-step explanation: Khan Answer
A horse can run at a top speed of 18 1/5 miles in 1/3 hour. What is the unit rate of the top running speed of a horse in miles per hour?
Answer:
54.6
Step-by-step explanation:
(18⅕ miles)/(⅓ hour) = ((18⅕)×3 miles)/hour = 54.6 miles per hour
The unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
What is the unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
Speed can be calculated as the ratio of the distance traveled to the time taken by the object.
We have been given that horses can run at a top speed of 18⅕ miles in 1/3 hour.
Therefore, Distance = 18⅕ miles
Speed = 18⅕ miles in 1/3 hour.
Thus, we get;
Unit rate= (18⅕ miles) / (⅓ hour)
Unit rate = ((18⅕)×3 miles)/hour
Unit rate = 54.6 miles per hour
Therefore, the unit rate of the top running speed of a horse in miles per hour is 54.6 miles per hour.
Learn more about speed here;
https://brainly.com/question/7359669
#SPJ5
what’s the slope of the line?
Answer:
4/3
Step-by-step explanation:
You use Rise over Run.
It runs 3 blocks to the left (+).
It rises 4 blocks up (+).
Answer:
is the change in y over the change in x
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y =−5 =−12
Answer:
[tex]7x+2y = -17[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x+3y = -5[/tex]
[tex]5x-y = -12[/tex]
If we want to add these equations, we just need to add x-terms, y-terms and independent terms.
[tex](2x+5x)+(3y-y) = -5-12[/tex]
[tex]7x+2y = -17[/tex]
I hope it helps you!
Answer:
7x + 2y = -17
Step-by-step explanation:
khan academy
Becky earned $21,280.08 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year?