Answer:
(78, 80)
Step-by-step explanation:
Given a normal distribution :
Mean = 79 seconds
Standard deviation = 0.5 seconds
Using the empirical rule :
95% of her finishing times :
According to the empirical rule, 95% represents 2 standard deviations from the mean that is ± 2 standard deviations from the mean score or value.
Hence ;
The interval will be defined as ;
Mean ± 2(standard deviation)
79 ± 2(0.5)
79 ± 1
(79 - 1) ; (79 + 1)
78 ; 80
4.65 x 10 to the 3rd power
Answer:
(4.65 x 10)^3 = 100,544.625
Step-by-step explanation:
First, multiply 4.65 by 10
46.5
Now multiply this number by itself 3 times
46.5 x 46.5 = 2,162.25
2,162.25 x 46.5 = 100,544.625
So the answer is 100,544.625
Hope this helps :)
Find the third proportional of 1.8 0.6
Answer:
0.6
1.8
=
x
0.6
6
18
=
10x
6
10x=
18
36
=2
x=
10
2
=0.2
Hence, the third proportion =0.2.
Step-by-step explanation:
can someone please help me with this
Answer:
d
Step-by-step explanation:
Name:
Date:
Linear Programming Word Problems
Target: I can solve word problems using Linear Programming.
Example 1: Yum's Bakery bakes two breads, A and B. One batch of A uses 5 pounds of oats and 3 pounds of flour
One batch of B uses 2 pounds of oats and 3 pounds of flour. The company has 180 pounds of oats and 135 pounds of
flour available. Yum's Bakery wants to maximize its profits from bread sales. One batch of A yields a profit of $40.
One batch of B yields a profit of $30. Find how many batches of each bread the bakery should bake and the maximum
profit
Oats
Flour
Bread A
5
3
Bread B
2
3
Total Available
180
135
p<= 180x + 135y
are potential roots of Evaluate the function for the given values to determine if the value is a root. p(-2) = p(2) = The value vis a root of p.). DONE
p(-2) = 0
p(2) = -16
The value -2 is a root of p(x).
Hope this helps!
Discretionary expenses are___ and ___ be reduced to help save money. For example, a _____________ is a discretionary expense.
Answer:
Discretionary expenses are Optional and Can be reduced to help save money. For example, a Magazine Subscription is a discretionary expense.
Step-by-step explanation:
Fits the definition of a discretionary expense and the example matches too because it is Optional.
Which postulate or theorem proves that these two triangles are congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate
Answer:
AAS
Step-by-step explanation:
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
a) |w| = 9.4; θ = 72.9°
b) |w| = 9.4; θ = 107.1°
c) |w| = 14.2; θ = 72.9°
d) |w| = 14.2; θ = 107.1°
Answer:
D
Step-by-step explanation:
Here, the direction angle is 107.1° and the magnitude is 14.2. Therefore, option D is the correct answer.
Given that, |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°.
We need to find magnitude and direction angle of w.
We have, w = u + v, θ=45° and ϕ=150°.
[tex]u_{x}[/tex]=|u|cosθ=10cos45°=7.071
[tex]u_{y}[/tex]=|u|sinϕ=[tex]u_{y}[/tex]=|10sin45°=7.071
[tex]v_{x}[/tex]=|v|cosθ=13cos150°=-11.25833
[tex]v_{y}[/tex]=|v|sinϕ=[tex]v_{y}[/tex]=13sin150°=6.5
Using this information, we get
[tex]R_{x} =u_{x} +v_{x}[/tex]=7.071-11.25833=-4.18733
[tex]R_{y} =u_{y} +v_{y}[/tex]=7.071+6.5=13.571
Direction angle=[tex]tan^{-1}[/tex](Ry/Rx)
Direction angle=[tex]tan^{-1}[/tex](13.571/-4.18733)
=-72.8239 or 107.1476≈107.1
Now, [tex]|w|=\sqrt{(|u|cos \theta +|v|cos \phi )^{2}+(|u|sin \theta +|v|sin \phi )^{2}}[/tex]
=[tex]|w|=\sqrt{(10cos45\textdegree +13cos150\textdegree )^{2}+(10sin 45\textdegree+13sin150\textdegree)^{2}}=14.2026[/tex]
Here, the direction angle is 107.1° and the magnitude is 14.2. Therefore, option D is the correct answer.
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answer corecctly plss
7(2+5v0=2v+14
Answer:
v=0
Step-by-step explanation:
I think you mean 7(2+5v)=2v+14.
14+35v=2v+14 distribute
33v=0 Subtract 2v and 14
v=0 divide by 33 on both sides
Hope this helps plz mark brainliest if correct :D
A math teacher graded 45 problems in
3
5
of an hour. At that rate, how many problems can she grade in 1 hour?
Solve the inequality for y.
7y-24<-2(3-8y)
Someone help please
Answer:
19.20937271 or 19
Step-by-step explanation:
15^2 + 12^2 = 369
[tex]\sqrt{369}[/tex] = 19.20937271
Answer:
19.2
Step-by-step explanation:
a^2+b^2=c^2
15^2+12^2=c^2
225+144=c^2
369=c^2
What number when multiplied by 113 has a product of 1
Answer:
3/4
Step-by-step explanation:
Answer:
1/13
Step-by-step explanation:
copied of that person
Expand the following:
c) 4(2x +1)
Answer:
= 4(2x +1)
= 4× 2x + 4×1
= 8x +4
Answer:
4*(2*x+1)
Step-by-step explanation:
Simplified we would write it as,
8x + 4, but we want to expand, so we would write out each operation being performed.
find x please, geometry
HELP ASAPPP
1. Mr. Jones receives 10% commission on each sale that he makes. He earned $450 last week in commissions. How much were his sales? SHOW WORK.
Given:
Rate of commission = 10% on each sale
Commission = $450
To find:
The total sales.
Solution:
Let the total sales be x. Then,
Commission = 10% of total sales
[tex]450=\dfrac{10}{100}\times x[/tex]
[tex]450=\dfrac{1}{10}\times x[/tex]
Multiply both sides by 10.
[tex]4500=x[/tex]
Therefore, the total sales is $4500.
The last week sales of Mr. Jones who receives 10% commission on each sale that he makes is $4500.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
Supose Mr. Jones sold x dollar item last week. As Mr. Jones receives 10% commission on each sale that he makes and he earned $450 last week in commissions.
Thus, the 10 percent of x is equal to the $450. It can be written in expression form as,
[tex]\dfrac{10}{100}\times x=450\\x=\dfrac{45000}{10}\\x=4500[/tex]
Hence, the last week sales of Mr. Jones who receives 10% commission on each sale that he makes is $4500.
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If y= -7 when x= -28, find y when x=20
need help with this thanks
Answer:k i’ll help i just can’t see that far what does it say
Step-by-step explanation:
Answer:
there are 280 black sheep
what the value of x. −(3x − 7) = 43
Answer:
Step-by-step explanation:
-(3x-7)=43.
Distribute the negative properly
-3x+7=43
Then subtract 7 from both sides
-3x=36
Then divide by -3 to get your answer
x=-12
Solve 4x + x + 4 = 8x -3x + 4. Does this equation have one solution, no solution or infinitely many solutions? If one solution, write the solution. Explain.
Answer:
4=4, in infinitely many solutions
Step-by-step explanation:
hope this helps
The mean age of 15 students in a class is 6 years. If the age of
their teacher is included, mean becomes 9 years. Which is the age of
the teacher?
Answer:
might be wrong but 54
Step-by-step explanation:
15 × 6 = 90
90 + 54 = 144
144 ÷ 16 = 9
hope this helps
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Answer:
3/2 is equivalent to 2/3 because
when u do 3/2 that means ur
doing 3x2 and 3x2 equals 6 and 2x3 eqauls 6.
I have been stuck on this and don’t know what the answer is
Answer:
x= -1 or x= -11
Step-by-step explanation:
Answer:
i think its D. Im not fully sure
Step-by-step explanation:
If ∆JKL is an equilateral triangle, JK = 13x + 5, KL = 17x – 19, and JL = 8x + 35, what is the value of x?
Answer:
x = 6
Step-by-step explanation:
Given that Δ JKL is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x, that is
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
An equilateral triangle is a triangle where all three sides are equal.
The value of x is 6.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An equilateral triangle is a triangle where all three sides are equal.
∆JKL is an equilateral triangle.
JK = 13x + 5
KL = 17x – 19
JL = 8x + 35
Now,
JK = 13x + 5
KL = 17x – 19
JK = KL
13x + 5 = 17x - 19
5 + 19 = 17x - 13x
24 = 4x
x = 6
Thus,
The value of x is 6.
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NEED ANSWER ASAP!!! WILL GIVE POINTS AND MARK AS BRAINLIEST!!
How do you write 23/25 as a percentage
Answer:
92%
Step-by-step explanation:
a Percent is equal to 1/100
so we need to make the denominator 100
so you multiply both the denominator and numerator by 4
4*23=92
4*25=100
92/100
which is also 92%
Hope this helps!
Use the difference of two squares to find each product.
22 * 28
Answer:
616
Step-by-step explanation:
22 * 28 = (25 - 3)(25 + 3) = 25^2 - 3^2 = 625 - 9 = 616
Determine if the line is solid or dashed and if you
shade above or below the line.
1) y> 3x-1
Answer:
the line is dashed and you shade up
Step-by-step explanation:
With a > and < it is dashed because it is not equal but if they did also equal it would be solid.
you shade above because it is > and the greater y values would be above the line.
hey need help fast!!!
Answer:
MN║OP
Step-by-step explanation:
From the picture attached,
MP and OP are the two lines and OT is a transversal intersecting these lines at R and S.
Angles on the same side of transversal OT measure the same as 45°
By the converse of corresponding angles theorem,
"If the corresponding angles formed by the transversal with the lines, are equal in measure, then the lines are parallel."
Therefore, MN║OP is the answer.
I NEED HELP ON #6 PLEASE!!
please show the work
Answer:
x=-4 y=4
(-4,4)
Step-by-step explanation:
