Answer:
74.02
Step-by-step explanation:
divide by 10
Answer:
74.02 Centimeters
Step-by-step explanation:
1 centimeter = 10 millimeters
74.02 centimeters = 740.2 millimeters
How would you identify a perfect square trinomial? Give an example.
Answer:
"Perfect square trinomials" are quadratics which are the results of squaring binomials. (Remember that "trinomial" means "three-term polynomial".)
For instance:
(x + 3)2
= (x + 3)(x + 3)
= x2 + 6x + 9
...so x2 + 6x + 9 is a perfect square trinomial.
(a) According to the Ministry of Health, the height of Guinean travellers who were quarantined in Tamale for the novel coronavirus were normally distributed about a mean of 160cm and a standard deviation of 8cm. Find the probability that a traveller selected at random has (a) Height between 148cm and 175cm (b) Height above 164cm (c) Height below 179cm
Answer:
a) [tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
b) [tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
c) [tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
[tex]P(z<2.375)= 0.991[/tex]
Step-by-step explanation:
Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:
[tex]X \sim N(160,8)[/tex]
Where [tex]\mu=160[/tex] and [tex]\sigma=8[/tex]
Part a
We are interested on this probability
[tex]P(148<X<175)[/tex]
We can ue the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
Part b
[tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
Part c
[tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z<2.375)= 0.991[/tex]
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/3. In other words, a change of 1 unit in x corresponds to a change of 4/3 in y
Answer:
you can do 4/3 x 1 if I get it wrong im sorry
Which of the binomials below is a factor of this
trinomial?
x²+x-12
O A. x + 6
O B. X-6
O C. x+4
O D. X-4
Answer:
C
Step-by-step explanation:
The answer is X+4
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
help plz!!!!!!!!!!!!!!!!!!!!
2: V = 330 m^2
3: V = 144 m^2
Step-by-step explanation:
All the figures shown are rectangular prisms.
You can find the volume of a rectangular prism through this formula:
[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height.
To find the volume of a composite figure, find the volume of each smaller figure, then add them together.
Question 2: 330 m^2
V = 3 * 5 * 6 (smaller prism)
V = 8 * 5 * 6 (larger prism)
smaller prism = 90 m^2
larger prism = 240 m^2
240 + 90 = 330 m^2
Question 3: 144 m^2
V = 3 * 4 * 2 (small prism 1)
V = 3 * 4 * 2 (small prism 2)
V = 12 * 4 * 2 (large prism)
small prisms: 24 m^2
large prism: 96 m^2
24 + 24 + 96 = 144 m^2
The student body has 190
students. In how many ways
can it elect a president, vice-
president, secretary?
Answer:
6751080 different ways
Step-by-step explanation:
President: 190 choices
Vice president 189 choices
secretary: 188 choices
190*189*188 =6751080 different ways
What are the roots of 3x^2+10=4x
a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.
Answer:
Cylinder Volume = π • r² • height
Volume = PI * .210 m^2 * 5
Volume = 0.6927211801 cubic meters
Wood has a mass of 693 / cubic meter
mass = 0.6927211801 * 693 = 480.06 kilograms
Step-by-step explanation:
Kelli does the grocery shopping for her family of four. The net income for the
household is $4,500 a month and she aims to spend 13 percent a month on
groceries. Kelli has decided to begin using a cash system for grocery shopping.
How much cash should Kelli pull out weekly to use at the grocery store?
Answer:
$585
Step-by-step explanation:
simply find 13% of 4500. 0.13 x 4500 is $585
Which value in scientific notation is the best estimate for 0.0000058102?
A. 5 x 10-5
B. 6 x 10-5
C. 5 x 10-6
D. 6 x 10-6
Answer:
D
Step-by-step explanation:
0.0000058102 can be rounded to 0.000006.
5 x 10^-5 = 0.00005
6 x 10^-5 = 0.00006
5 x 10^-6 = 0.000006
6 x 10^-6 = 0.000006
The closest answer to the estimate is option D.
Answer:
ggttttttttttttt
Step-by-step explanation:
If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay? In terms of simple interest.
Answer: $3.20
Step-by-step explanation:
SI = p *r * t
= 5.93 * 0.06 * 9
= 3.20
Answer:
$3.20
Step-by-step explanation:
Using Simple Interest = (principal) * (rate) * (time), we get:
= 5.93 * 0.06 * 9
= $3.20
Hope this helps!
Find the perimeter and the area of the composite shape..
Answer:
I think that it is 39.2 but i'm not 100% sure
Step-by-step explanation:
Hope this helps!
do all cells come for preexisting bones
The generally accepted parts of modern cell theory include: All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.
hope it helps!!!! :]
What is the equation of the line of best fit that Frank drew?
A: Y = -3x + 12
B: Y = -3x + 16
C: Y = 1/3x +12 (/ means fraction)
D: Y = 1/3x + 16
Answer:
The answer is actually not an option here. The answer is y=-1/3x+16
A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answer:
8 cups
Step-by-step explanation:
hope I could help
Please help me with this!!
Answer: Second picture, B
Step-by-step explanation:
Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.
We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.
The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).
The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.
Answer:
C
Step-by-step explanation:
[tex]sin^{-1} x = csc x\\[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
[tex]csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}[/tex]
hypotenuse is 5 and opposite is 8,3 -----> third option
Which of the following is the radical expression of 5
a_
7
Answer
[tex]\sqrt[7]{a^{5} }[/tex] is the correct answer to the given question.
Step-by-step explanation:
The given question is incomplete the options are missing also the question is also not well described the question is [tex]a^{5/7}[/tex].
[tex]a^{5/7}[/tex]
There is property when we convert any power number into the radical form the denominator of the power number is shifted to the order of the radical number .Here 7 is denominator in the power of [tex]a^{5/7}[/tex] so 7 is shifted to the order of the radical number .So it can be written as [tex]\sqrt[7]{a^{5} }[/tex] is the correct answer.
what is the measure of the missing angle?
Answer:
82 degrees
Step-by-step explanation:
sum of the angles of the triangle = 180 °
first angle is 41°
second one is : 180-123 = 57°
then the measure of the missing angle(x) is : 57+41 +x = 180
x= 180-98 = 82°
Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?
Answer: The coordinates will be (0,2) after a 180 degrees rotation.
Step-by-step explanation:
90 180
(0,-2) → ( -2,0)→ ( 0,2)
Answer:
(0,2)
Step-by-step explanation:
Rule for a rotation of 180° about the origin: [tex](x,y)\rightarrow(-x,-y)[/tex]
We are given the point (0, -2).
Applying the rule:
[tex](0,-2)\rightarrow(0,2)[/tex]
A' should be at (0,2).
[tex]x^{3} =216[/tex]
Answer:
x = ±6
Step-by-step explanation:
=> [tex]x^3 = 216\\[/tex]
Taking cube root on both sides
=> x = ±6
Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours. A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours. At which times could Rory's phone have been plugged into the charger? Select three options. 6 hours 9 hours 11 hours 14 hours 19 hours
Answer:
9,11,19
Step-by-step explanation:
let x be the hours and y the percentage
x=0 , y=100
x=8 , y=80
x=9 , y=0
x=10 , y=100 , x=11 still charging so it is still plugged in
x=16 , y=60 and so on ....
x=18 , y=20
and it will charged again
the answer is 9,11,19
Find the volume of the cone
Either enter an exact answer or answer in terms of Pi or use 3.14 for Pi and round your final answer to the nearest hundredth
Answer:
12pi
Step-by-step explanation:
The area of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case:
[tex]\dfrac{1}{3}\pi \cdot 3^2 \cdot 4=12\pi[/tex]
Hope this helps!
△ABC has vertices at A(1, 1), B(2, 3), and C(3, 1). △DEF has vertices at D(–1, 1) , E(–2, 4), and F(–3, 1). Is △ABC congruent to △DEF? Choose the correct response.
Answer:
sorry I don't know understand
Observa las dimensiones del siguiente portarretrato, y escribe la expresión que determina el área disponible para la fotografía del portarretrato.
Answer:
DStep-by-step explanation:
The dimensions of the portrait are attached.
The total area of the portrait is represented by its width 5+x and its length x+1.
We know by definition that the area of a rectangle is
[tex]A= w \times l[/tex]
Where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
Using the given expressiones, we have
[tex]A=(5+x)(x+1)=5x+5+x^{2} +x=x^{2} +6x+5[/tex]
Therefore, the right answer is D.
Given that BD is both the median and altitude of ABC, congruence postulate
SAS is used to prove that ABC is what type of triangle?
Answer:
isosceles
Step-by-step explanation:
An isosceles triangle is one with two equal-length sides. The correct option is D.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.
Learn more about Isosceles Triangle:
https://brainly.com/question/2456591
#SPJ5
Alguien que tenga la caridad de explicarme como se hace esto o que me de la respuesta
Answer:
El angulo mide 150 grados.
Step-by-step explanation:
I have attached the work to your problem // Agregué una foto con tu trabajo.
Please see the attachment below // Mirala abajo.
I hope this helps! // Espero que te ayude mi foto. Saludos de Colombia.
definition of sas triangle
Answer:
SAS (side, angle, side)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
What type of correlation does this graph show?
strong positive correlation
weak positive correlation
strong negative correlation
weak negative correlation
no correlation
Answer:
Weak positive correlation
Step-by-step explanation:
Because it can’t be strong otherwise the points would have been very close to the line of best fit
don’t really quite understand this question.
Answer:
D.
Step-by-step explanation:
Because its three times as much as 42 so its opposite of multiplication so its division with is also 3x=42 and to solve that you divide 3x by 3 and just get x then you divide 42 and 3 and u get your answer( im not gonna do the math lol)
Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s Work Tamar’s Work (40 + 42) squared = 58 squared. 82 squared = 3,364. 6,724 not-equals 3,364. The triangle is not a right triangle. 42 squared + 40 squared = 58 squared. 1,764 + 1,600 = 3,364. 3,364 = 3,364. The triangle is a right triangle.
Which best describes the accuracy of their solutions?
A. Holly is correct.
B. Tamar is correct.
C. Neither Holly nor Tamar is correct.
D. Both Holly and Tamar are correct.
Answer:
B. Tamar is correct.
Step-by-step explanation:
A triangle can be proven as a right angle triangle if it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as
c² = a² + b²
where
c = hypotenuse sides
a and b can be any of the opposite or adjacent sides.
The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides
c² = a² + b²
58² = 40 ² + 42²
3364 = 1600 + 1764
3364 = 3364
Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.
Answer:
B
Step-by-step explanation:
