Answers
Answer:
Hello,
Step-by-step explanation:
[tex]P(3000<x<4000)\\\\=P(\dfrac{3000-3262}{1100} \leq z\leq \dfrac{4000-3262}{1100})\\\\=P(z\leq 0,6709)-(1-P(z\leq 3524) \leq z))\\\\=0.7515-0.5941\\\\=0.1574\\[/tex]
My table have 4 digits but i have made a linear interpolation .
Answer:
-.238, .67, .7486, .4052, .3434
Step-by-step explanation:
standardize them both
(3000-3262)/1100= -.238 which rounds to -.24 which has a probability of .4052
(4000-3262)/1100= .67 which has a probability of .7486
subtract them
.7486-.4052=.3434
Related Questions
For every paper boat that Lina makes Harry can make 2 paper boats if they make 117 paper boats altogether how many paper boats does Harry make
Answers
Answer:
78
Step-by-step explanation:
For every 1 bout Lina makes, Harry makes two boats.
1 + 2 is 3.
117 divided by 3 = 39, which is how many boats Lina made.
39 x 2 = 78, which is how many boats Harry made.
To check our answer, 39 + 78 = 117, which is how many boats they made altogether, so the answer is correct.
Answer:
78
Step-by-step explanation:
My knowledge!!
Hope it helps!
Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.
Answers
Answer: He bought 6 pounds of coffee.
Step-by-step explanation:
Money he have = 70
money he used to buy = 70.00 - 23.62 = 46.38
so
7.73 dollar = 1 pound
1 dollar = 1/(7.73) = 100/773 pound
46.38 dollar = (100/773) * 46.38 = 6 pound
Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Answers
Given:
The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].
The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,
[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]
[tex]7=l[/tex]
Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
The average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter. If the total net primary production of a selected portion of a tropical rain forest in a given year is 1.8*10^ 8. kilocalories, what is the approximate total area, in square meters, of the selected portion?
A) 4.9 * 10 ^ 3
B) 1.6 * 10 ^ 4
C) 2.0 * 10 ^ 4
D) 1.6 * 10 ^ 12
Answers
Answer:
C: 2 × 10⁴
Step-by-step explanation:
We are told that the average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter.
Thus;
P_net,average = 8900 Kcal/m²
We are also told that net primary production of a selected portion of a tropical rain forest in a given year is 1.8 × 10^(8) kilocalories.
Thus;
P_net = 1.8 × 10^(8) Kcal
To get the average, the formula is;
P_net,average = P_net/Area
Thus;
Area = P_net/P_net,average
Plugging in the relevant values;
Area = (1.8 × 10^(8))/8900
Area ≈ 2 × 10⁴ m²
HHHHELP ME!!!!!! PLZ
Answers
Total gasoline = 10 gallons
Gasoline left after 100 miles = 5 gallons
Gasoline used in 100 miles
= Total gasoline - Gasoline left after 100 miles
= 10 gallons - 5 gallons
= 5 gallons
Gasoline used in 1 mile
= Gasoline used in 100 miles/100
= 5 gallons/100
= 0.05 gallons
I need help with this math problem
GP
Answers
We have
(a + bx) / (a - bx) = (b + cx) / (b - cx)
==> (a + bx) (b - cx) = (a - bx) (b + cx)
==> ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²
==> (b ² - ac) x = (ac - b ²) x
==> b ² - ac = ac - b ²
==> 2b ² = 2ac
==> b ² = ac … … … [1]
Similarly, you would find
(a + bx) / (a - bx) = (c + dx) / (c - dx)
==> ad = bc … … … [2]
and
(b + cx) / (b - cx) = (c + dx) / (c - dx)
==> c ² = bd … … … [3]
Now:
c ² = bd ==> b = c ² / d
b ² = ac ==> c = b ² / a
ad = bc ==> d = bc / a
and we find
d / c = (bc / a) / (b ² / a) = c / b
and
c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a
which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Answers
Answer:
c = 21
Step-by-step explanation:
**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**
If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.
PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.
With that in mind, we can apply this ratio to find WX.
We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.
c = 21
Hope this helps (●'◡'●)
Which of the following is the product of the rational expressions shown
below?
3
2x
O A.
21
2x + 4
21
2x2 + 4x
O c.
42
2x + 4
D.
42
2x² + 4x
Answers
Answer:
The answer is "B"
Step-by-step explanation:
The explanation is in the picture!
Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.
Answers
For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles triangle
What is the solution to this equation?
log_8 16 + 2log_8x =2
Answers
The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
Given the equation
[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2
We know that,
xlogb = log[tex]b^{x}[/tex]
So,
2[tex]log_{8}[/tex](x) = logx²
For the same base
logA + logB = log(AB)
So,
[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2
[tex]log_{8}[/tex](16x²) = 2
We know that
[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]
so,
[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²
x = 2 hence x = 2 will be correct answer.
For more about logarithm
https://brainly.com/question/20785664
#SPJ2
Solve for x. round to the nearest tenth, if necessary.
Answers
Answer:
29
Step-by-step explanation:
all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151
then 180-151=29
What set of transformations are applied to parallelogram ABCD to create A’B’C’D’
Answers
Reflected over the x‒axis and reflected over the y-axis
36. Factorize x-12x + 20
Answers
SEE QUESTION IN IMAGE
Answers
Answer:
Step-by-step explanation:
[tex]Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}[/tex] Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:
[tex]14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}[/tex] and simplify that a bit to
[tex]14.44=\frac{195+588+15X+160+51}{70+X}[/tex] and a bit more to
[tex]14.44=\frac{994+15X}{70+X}[/tex] and cross multiply
14.44(70 + X) = 994 + 15X and
1010.8 + 14.44X = 994 + 15X and
16.8 = .56X so
X = 30
30 kids are 15 years old for the mean age to be 14.44
d.30
Answer:
Solution given:
x. [tex] \:\:\:[/tex] f. [tex] \:\:\:[/tex] fx
13. [tex] \:\:\:[/tex] 15. [tex] \:\:\:[/tex] 195
14.[tex] \:\:\:[/tex] 42 [tex] \:\:\:[/tex] 588
15. [tex] \:\:\:[/tex] x. [tex] \:\:\:[/tex] 15x
16. [tex] \:\:\:[/tex] 10. [tex] \:\:\:[/tex] 160
17. [tex] \:\:\:[/tex] 3. [tex] \:\:\:[/tex] 51
. n=70+x. [tex]\sum[/tex]=994+15x
we have
mean=sum/n
14.44=[tex]\bold{\frac{\sum}{n}}[/tex]
14.44=[tex]\bold{\frac{994+15x}{70+x}}[/tex]
doing crisscrossed multiplication
(70+x)*14.44=994+15x
1010.8+14.44x=994+15x
15x-14.44x=1010.8-994
0.56x=16.8
x=16.8/0.56
x=30
The cost per hour of running an assembly line in a
manufacturing plant is a function of the number of
items produced per hour. The cost function is
C(x) 0.3x2 – 1.2x + 2, where C (x) is the cost per
hour in thousands of dollars, and x is the number of
items produced per hour, in thousands. Determine
the minimum production level, and the number of
items produced to achieve it. Include a final written
statement.
Answers
Answer:
the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Step-by-step explanation:
if there is no mistake in the problem description, I read the following function :
C(x) = y = 0.3x² - 1.2x + 2
I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.
the first derivative of C(x) is
0.6x - 1.2 = y'
0.6x - 1.2 = 0
0.6x = 1.2
x = 2
C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8
so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Which are vertical angles?
Answers
Answer:
The top answer is correct
Step-by-step explanation:
Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.
Identify f? 6(3f - 15)
Answers
Answer:
[tex]6(3f-15)=90[/tex]
[tex]3f=90/6+15=30[/tex]
[tex]f=10[/tex]
---------------------------
Hope it helps...
Have a great day!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]
[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]
[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]
[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]
[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]
[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]
[tex]\mathsf{90 + 90 = \bf 180}[/tex]
[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]
[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]
[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]
[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]
[tex]\mathsf{f = \dfrac{180}{18}}[/tex]
[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]
[tex]\mathsf{\dfrac{180}{18}}[/tex]
[tex]\mathsf{= \bf 18}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help, please, I'll give brainliest
Answers
Would appreciate the help please!
Answers
Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Can someone Answer this
Answers
Answer:
tan x = c/b
cos x = b/a
sin x = c/a
Step-by-step explanation:
an easy way to memorize it would be SOH CAH TOA
SOH = sin, opposite, hypotunese
-- you find the angle and you divide it's opposite and hypotunese when it asks for sin
CAH = cos, adjacent, hypotunese
-- you find the angle's adjacent side and hypotunese, then divide
TOA = tan, opposite, adjacent
-- you find the angle's opposite side and divide it by the adjacent side
HELPP PLEASEEEEEEEEEEE
Answers
Answer:
A) 14
B) 48
Step-by-step explanation:
[tex]x^{a}[/tex] · [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]
[tex](x^{a}) ^{b}[/tex] = [tex]x^{ab}[/tex]
From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of the tree to point B is 46 degrees, how tall is the tree in meters? (round to the nearest whole meter)
Answers
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point B are;
The horizontal distance between the tree and point B, x = 125 meters
The angle of depression from the top of the tree to the point B, θ = 46°
Let h represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point B is parallel to the horizontal distance from the point B to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
Find the slope between (-2,-2) and (0,-3)
Answers
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-2 -2 0 3
ΔY 5
ΔX 2
slope= 2 1/2
B= 3
Y =2.5X +3
... 2.........5
16--- + 6---
.....3.........8
I need this answer fast pls
Answers
Answer:
what is that? I can't understand it.
What is the slope of the line that contains the points in the table?
х
У
15
-2
9
ON
3
4
-3
O A. 3
O B. -6
O c. 2
O D. -3
Answers
Answer:
https://www.dasd.org › 4444PDF
Web results
Entering Algebra 2: Answer Key
Can someone help me in this plz
Answers
Answer:
a =2 5
b =50
Step-by-step explanation:
If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1
Answers
Answer:
1/4
Step-by-step explanation:
a^2
Let a= 1/2
(1/2)^2
(1/4)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
How can 65% be broken down with friendly percents to find 65% of a number?
A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>
Answers
Answer:
10%
Step-by-step explanation:
Answer:
given that the only one that actually adds up to 65%
is B....
B. 25% + 10% + 10% + 10% + 10%
Step-by-step explanation:
lll give brainliest
What is the slope of a line that runs parallel to y = -x + 7? Use a number to fill in the blank.
Answers
Answer:
Lines parallel to this line will have a slope of -1
Step-by-step explanation:
y = -x + 7
This line is in slope intercept form
y = mx+b where m is the slope
The slope is -1
Parallel lines have the same slope
Lines parallel to this line will have a slope of -1
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1
Hi I need help with this question please!!! I don’t understand it :/
Answers
Answer:
- 22.5
Step-by-step explanation:
Substitute x = 3 into f(x) and x = 16 into h(x) , then
[tex]\frac{1}{2}[/tex] g(3) - h(16)
= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)
= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)
= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)
= - 13.5 - 9
= - 22.5
