Solution :
The data is normally distributed.
The standard deviation is 18 days
Here the data is normally distributed and 54 days is 3 days of standard deviation.
Therefore, the percentage of the births that would be [tex]\text{expected to occur}[/tex] within the 54 days of the mean [tex]\text{pregnancy}[/tex] length is given by :
= P( -3 < Z < 3)
= 0.9544
= 95 %
Therefore, about 95% of the births would be [tex]\text{expected to occur}[/tex] within 54 days of the men [tex]\text{pregnancy}[/tex] length.
What part of an hour passes between 2:24pm and 4:40pm
Answer:
2 1/4 hrs
Step-by-step explanation:
2 1/4 th of an hour passes between 2:24pm and 4:40pm
Between 2:24pm and 4:40pm 2.26 part of hours has been passed.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, What part of an hour passes between 2:24 pm and 4:40 pm.
Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.
16 minutes is 16/60 = 4/15 or 0.26 hours.
So, in total (2 + 0.26) = 2.26 part of an hour have been passed.
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The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is
a. O 6x-7y+27 = 0
b. O 7x+6y-27 = 0
c. O 6x+7y-27=0
d. 0 6x+7 y+27 = 0
e. O -7x+6y+99 = 0
f.
No Answer
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79
Answer:
Step-by-step explanation:
Sin 61 = 47/X
(X=AB)
X = 53.73764119
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.
Using the Sine ratio for the angle B, we can writte,
Sin(∠B) = AC/AB
Sin(61°) = 47/AB
AB = 53.74 units
Hence, the correct option is A.
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what is 2/5 divided by -1/2 minus 3/2
Answer:
[tex] - \frac{23}{10} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]
➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{23}{10} [/tex]
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
Giving brainliest! Graph and solve the inequality y≤2|x+2|-7
Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!
Answer:
hope this helps u......
Answer:
Step-by-step explanation:
I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.
what is 8 to the 4thpower
8 to the fourth power is:
8² · 8² =
64 · 64 =
4096
someone please help i am not 100% sure how to do this and i need it for the rest of my tesr
Answer:
angleCFE=21 because inscribed angle is half the central angle standing on same same arc.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
cos theta Root over 1 - cos square theta
Answer:
[tex]{ \bf{ \cos \theta \sqrt{1 - { \cos }^{2} \theta } }} \\ { \sf{ = \cos \theta \sqrt{ { \sin }^{2} \theta} }} \\ { \sf{ = \cos \theta \sin \theta }} \\ { \sf{ = \frac{1}{2} \sin(2 \theta) }}[/tex]
Find x in the given figure
A: 60°
B: 55°
C: 125°
D: 35°
Answer:
C: 125
Step-by-step explanation:
First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.
Hope this helps!
how to evaluate 4(x+2−5x) when x=2
Answer:
-24
Step-by-step explanation:
4(x+2−5x)
Combine like terms
4(2 -4x)
Distribute
8 -16x
Let x=2
8 - 16(2)
8 - 32
-24
how to evaluate 4(x+2−5x) when x=2
To Find :The value after evaluating Solution :We are provided that x equals 2 so have to put 2 instead of x to the desired result4(x + 2 - 5x)
Putting the value of x we get
4(2 + 2 - 5 × 2)
According to BODMAS multiplication comes first then addition
So 5 × 2 will be solved after that we will simplify 2 added with 2
4(2 + 2 - 10)
4(4 - 10)
4(-6)
- 24
Henceforth, the required answer is -24
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
Find the total surface area of this square based
pyramid.
10 in
5 in
Answer:
125in
Step-by-step explanation:
Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...
A = (1/2)bh
A = (1/2)(5 in)(10 in) = 25 in²
The square base has an area given by the formula ...
A = s² . . . . . where s is the side length
A = (5 in)² = 25 in²
The total area is the sum of the areas of the 4 faces and the base:
total area = 4 × (area of 1 face) + (area of base)
total area = 4 × (25 in²) + 25 in²
total area = 125 in²
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i
Answer:
b and c
Step-by-step explanation:
Given
x² - 4x = - 5
Solve by using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = - 5 + 4
(x - 2)² = - 1 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )
x = 2 ± i
Then solutions are
x = 2 - i → b
x = 2 + i → c
the tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
the attachment is the table
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
Find the endpoint/midpoint.Please hurry
Answer:
im not sure, but i have
Step-by-step explanation:
Answer:
Step-by-step explanation:
Calcula el valor de “x” en:
5(3x – 4) – 17 = 5(x + 8) – 17
Answer: x = 6
Step-by-step explanation:
Sume 17 a ambos lados
5(3x-4)-17 + 17=5(x+8)-17 +17
Simplifica
5(3x-4)=5(x+8)
Expandir 5(3x -4) : 15x - 20
Expandir 5(x+8) : 5x +40
15x - 20 = 5x +40
Sume 20 a ambos lados
15x - 20 + 20 = 5x +40 +20
Simplifica
15x = 5x +60
Restar 5 de ambos lados
15x - 5x = 5x + 60 - 5x
Simplifica
10x = 60
Divide ambos lados entre 10
10x/10 = 60/10
Simplifica
x = 6
inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
Answer:
General Equation of a Line
[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]
Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
Please answer this, I don't have much time left!
Answer
1 + 5 ÷ 5
This would equal 2, using BIDMAS.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer: Choice B
Open circle at 3. Shading to the right
========================================================
Work Shown:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
18x > 54
x > 54/18
x > 3
We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.
how many square metres of floor are there in a room of 6 metres
ig something like that
Answer:
36² metres
Step-by-step explanation:
I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6
find the missing side of the triangle.
The equation of a function and its table of values has been given. Complete the table.
=−2+5
Answer:
X -2 - 1 0 1 2
Y 9 7 5 3 1
Step-by-step explanation:
Given equation:
y = -2x + 5
Find:
Complete table
Computation:
Missing table;
X -2 - 1 0 1 2
Y
y = -2x + 5
When x = -2
y = -2x + 5
y = -2(-2) + 5
y = 9
When x = -2
y = -2x + 5
y = -2(-1) + 5
y = 7
When x = -2
y = -2x + 5
y = -2(0) + 5
y = 5
When x = -2
y = -2x + 5
y = -2(1) + 5
y = 3
When x = -2
y = -2x + 5
y = -2(2) + 5
y = 1
X -2 - 1 0 1 2
Y 9 7 5 3 1
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?
Answer: Its B i just took the test
Step-by-step explanation:
According to the graph what is the value of the constant in the equation below
Answer:
C. 1.5
Step-by-step explanation:
Step-by-step explanation:
Answer:
What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13
Answer:
11
Step-by-step explanation:
If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.
6, 7, 10, 12, 12, 13
Cross off all numbers until you get to the middle:
6, 7, 10, 12, 12, 13
Find the mean of the numbers in the middle:
10 + 12 = 22
22 / 2 = 11
The answer is 11
Hope this helped.
Answer:
11
Step-by-step explanation:
10+12=22
22÷2=11
median is equal to the middle number after being arranged in ascending order.
Please help me solve this short problem guys
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
