Answer:
Step-by-step explanation:
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
The interval of systolic blood pressure will be between 155 to 95
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
From the question, we are told that
Mean x=125
Standard deviation = 10
The Percentage for men =99.75%
Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 10
Mean x= 125
Generally, the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
G = Mean ± (3x [tex]\sigma[/tex])
G= 125 ± (3 x 10)
G= 125 ± (30)
G = 155 and 95
Hence the interval of systolic blood pressure will be between 155 to 95
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Answer:
Step-by-step explanation:
If f(x) = x² — 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
4
-2
2
04
Answer:
-2
Step-by-step explanation:
Given that;
f(x) = x² -2x
and g(x) = 6x + 4
(f + g)(x) = x²-2x+6x+4
:- x² +4x + 4 = 0
x² +2x +2x + 4 = 0
x(x + 2)+2(x + 2) = 0
(x + 2)(x + 2) = 0
:- x = -2
Len has a rectangular wooden deck that measures 14 feet by 25 feet he builds an addition to the deck that makes it 6 feet longer
Answer:
its 90
Step-by-step explanation: multiply it 6 by 14 feet, than add 6.
6*14=84+6=90
Answer:
90
Step-by-step explanation:
trust me
PLS HELP eixosixosdkkzk
The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
What is the formula of sum of sin (a+b)?The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.
The formula of sum of sin (a+b),
Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)
Here, (A and B) are the measure of angles.
The trigonometry equation given in the problem is,
(sin 60)(cos 30)+(cos 60)(sin 30)
Compare this expression with the above formula we get,
A=60
B=30
Thus, the value of the given expression is,
(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)
Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
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Group the terms with variables on one side of the equal sign and simplify.
19p = 10p + 54
9p = 54
9p = −54
29p = 54
29p = −54
Answer:
9p = 54
Step-by-step explanation:
19p = 10p + 54
Subtract 10p on both sides,
19p - 10p = 54
9p = 54
Step-by-step explanation:
my dear this is very very simple
you can definitely solve it by yourself.
just take "like terms" pit them at one side make (if a negative sign crosses to the other side of the "equal to sign" (=) it changes to positive and vice versa.
19p = 10p + 54
so grouping like terms:
10p will come and meet 19p (but it will carry the positive sign because it has crossed the '=' sign
so we have,
19p -10p = 54
since 19p and -10p are like terms so we can subtract (imagine 19 apples - 10 apples)
so we get:
9p = 54 ( 9 apples = 54)
option (A)
Hope this helps.
Ace that assignment.
Good luck ✅.
you're super free to ask any further questions okay.
If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?
1.5 percent
2 percent
2.5 percent
3 percent
The Probability of a chain defect will be 3%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let B be the event that brake defect .
Let C be the event that chain defect.
Since we have given that
Probability of a brake defect P(B) = 4%
Probability of both chain and brake defect P(B∩C) = 1%
Probability of either brake or chain defect P(E∪C) = 6%
So, we need to find the probability of a chain defect.
As we know the rule of probability.
P ( B U C ) = P(A) + P (B) - P ( B [tex]\cap[/tex] C)
6 = 4 + P (C) - 1
P (C) = 3
Hence, Probability of a chain defect is 3%.
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what is the 8th term in the following sequence? 27, 39, 51, 63
Answer:
the 8th term = 111Step-by-step explanation:
39-27=12
51-39=12
63-51=12
It’s clear that ,in this sequence we add 12 each time to a term to get the next term.
This means that this is an arithmetic sequence with a common difference of 12.
Therefore,
Term1 = 27 ; Term2 = 39 ; Term3 = 51 ; Term4 = 63
Term5 = 75
Term6 = 87
Term7 = 99
Term8 = 111
Method 2 :
Un = U1 + (n-1)r
r is the common difference = 12
U1 = 27 is the first term
Then
U8 = 27 + (8-1)×12
= 27 + 7×12
= 27 + 84
= 111
help me pls, will mark brainliest!!!!!!!!!!!!!
Step-by-step explanation:
since he was already on time on the first day, the question is reduced to the probability of being on time on exactly one of the next 2 days.
the probability to be on time on exactly one day means to be on time on one day and to be late on the other.
the probability to be late is the opposite of the probability to be on time, so
1 - 0.7 = 0.3
so, the probability for this combined event for one of the day combinations is
0.7 × 0.3 = 0.21
how many day combinations (1 day on time, the other late) can we have ? 2 (either on time on the first and late on the second, or late on the first and on time on the second).
so, we need to multiply this with the basic probability and get
0.21 × 2 = 0.42
so, b. is the right answer.
The functions f(x)=−34x+214 and g(x)= (12)x+1 is shown in the graph.
What are the solutions to −34x+214= (12)x+1?
Select each correct answer.
−1
0
1
2
3
An exponential curve and a line graphed on a coordinate plane. The horizontal x-axis ranges from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 4 to 4 in increments of 1. The curve begins in the second quadrant. The curve decreases through begin ordered pair 0 comma 2 end ordered pair. The curve passes through begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair and exits the first quadrant. The line passes through begin ordered pair 0 comma 2.25 end ordered pair and begin ordered pair 3 comma 0 end ordered pair. The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair.
Answer:
x = -1 and x = +1
Step-by-step explanation:
The solution to f(x) = g(x) is found where the graphs intersect.
__
Your problem statement tells you the solution:
"The curve and the line intersects at begin ordered pair negative 1 comma 3 end ordered pair and begin ordered pair 1 comma 1.5 end ordered pair."
We interpret this statement to mean the points of intersection are ...
(-1, 3) and (1, 1.5)
The x-values that make f(x) = g(x) are x=-1 and x=1.
The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?
Help me please for 50 points
[tex]\left(\sqrt[3]{- \dfrac 18} \right)^3+3\dfrac3 4\\\\\\=\left[\left(-\dfrac 18 \right)^{\tfrac 13}\right]^3+ \dfrac{12+3}4\\\\\\=\left(-\dfrac 18 \right)^{\tfrac 33\right)+ \dfrac{15}4\\\\\\=\dfrac{15}{4}- \dfrac 18\\\\\\\\=\dfrac{30-1}{8}\\\\\\=\dfrac{29}8\\\\\\=3\dfrac 58 \\\\\\= 3.625[/tex]
Answer:
29/8
Step-by-step explanation:
a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the box
Answer:
1326 cm²
Step-by-step explanation:
1) Identify the equation of the surface area of a rectangular prism
[tex]A = 2(wl + wh + hl)[/tex]
2) Input the corresponding values [tex]l=15 cm[/tex]; [tex]w=22 cm[/tex]; and [tex]h=9 cm[/tex] into the equation, and solve for the area
[tex]A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}[/tex]
3) ∴ [tex]A=1326cm^2[/tex]
How many 90° turns will the minute hand make between 9:00 and 10:00?
Answer:
It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.
hi can you ya'll help me
Step-by-step explanation:
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
Simplify,then combine each:
[tex] = 4 \sqrt{3} [/tex]
or
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
=5.196+1.732
=6.928
[tex] \approx6.930[/tex]
Which expressions are equivalent?
Answer:
3x -7y = -7y+3x
Step-by-step explanation:
3x is positive and 7y is negative
We can reverse the order
3x -7y = -7y+3x
please help me find unknown size of angles
The height of an equilateral triangle is the square root of 12. Find the perimeter of the triangle.
Question 1 Part B (3 points): Using the GCF that you chose in part A, factor that GCF out of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
A.
6x(3x² + xy -9x - y)
B.
x²(18x + 3y - 9)
C.
3x(6x² + 2xy - 3x - y)
D.
x(18x² + 6xy - 9x - 3y)
The factor of the polynomial 18x³ + 6x²y - 9x² - 3xy will be 3x(6x² - 2xy - 3x - y). Then the correct option is C.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ 18x³ + 6x²y - 9x² - 3xy
Then the factor of the polynomial will be
⇒ 18x³ + 6x²y - 9x² - 3xy
⇒ 3x(6x² - 2xy - 3x - y)
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Solve for [x]. The pair of polygons are similar.
5x+2
B
16
The scale factor from A to B is 2:9
How large should n be to guarantee that the Simpson's Rule approximation to 1 7ex2 dx 0 is accurate to within 0.0001
We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
What is the estimation of the accuracy of Simpon's Rule?The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].
The formula for calculating Simpon's rule can be expressed as:
[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]
Given that:
[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],
where a = 0, b = 1, [tex]\mathbf{f(x) = 7 e^{x^2}}[/tex]We need to determine the fourth derivative; i.e.
[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]
[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]
[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]
[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]
The maximum value of the 4th derivative on the interval [0,1] is:
[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:
[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]
Now for the error to be less than 0.0001; we have:
[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]
[tex]\mathbf{52e < 0.0015n^4}[/tex]
[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]
[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]
n ≅ 17.52.
Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
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A sector whose central angle measures 72º has an area of 16.211 square feet. What is the radius of the circle?
Answer:
81.055 ft²
Step-by-step explanation:
A full circle has a central angle of 360°.
A sector with a central angle is 72° is 72/360 = 1/5 of a circle.
A full circle has 5 times the area of a sector with a 72° central angle.
A = 5 × 16.211 ft²
A = 81.055 ft²
Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?
The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
The price of 26 delicious burritos and 27 orders of savory chips for $86.90
4 more burritos and 9 more orders of chips for $40.70
Let us consider the price of Burritos is x
and the price of savory chips is y
from the first statement we can form the equation
26*x +27*y = 86.9
and from the second statement we can form the equation
14*x + 9*y= 40.70
To determine the price of each we have to solve these system of equations.
On solving using elimination method
16x = 35.2
x = $2.2
and y = $1.1
Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?A system of equations is a set or collection of equations that you deal with all together at once.
The price of 26 delicious burritos and 27 orders of savory chips = $86.90
The price of 14 more burritos and 9 more orders of chips = $40.70
Let us consider the price of Burritos is x
and, the price of savory chips is y
Now,
26x +27y = 86.9
and
14* + 9*= 40.70
On solving above two equation, we get
16x = 35.2
x = $2.2
and y = $1.1
Hence, price of Burritos is $ 2.2 and the price of savory chips is $1.1.
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Create a cylinder with a height of 6 cm and a radius of 10 cm. notice the volume calculation is 1,885.0 cm3. drag the orange dot to double the cylinder’s height. what do you notice about the new volume compared to the original volume?
The volume of the cylinder will be equal to V=1885 cubic cm.
What is volume?The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The cylinder is the right circular object with some height like bamboo, bottles, rods etc all are cylinders.
The formula for calculating the volume of the cylinder is given as:-
V=πr²H
Here we have the radius of the cylinder r= 10 cm and the height of the cylinder is H=6 cm
V= π x (10)² x 6
V=1885 cubic cm.
Hence the volume of the cylinder will be equal to V=1885 cubic cm.
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Answer:
It doubled
Step-by-step explanation:
Got 100%
What is 10 raised to the second power x2
Answer:
100
Step-by-step explanation:
10 to the second power is 10^2. Therefore, that is 10x10.
This results in 100.
Answer:
100
Step-by-step explanation:
it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!
como resolver
(-2 )² x (-2 )³
aplica propiedades de la potenciación en este caso seria potencia de un producto
Answer:
-32
Step-by-step explanation:
-2^2 is 4
-2^3 is -8
So 4•-8
=-32
Hope this helps. Brainliest would be appreciated.
The number of siblings for a group of sixth grade students is shown below:
0, 1, 2, 1, 6, 0, 2, 0, 1, 10
Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
Trina is trying to decide which lunch combination to order at a sandwich shop: 4, 5, 6, or
7. Each combination comes with the choice of an apple, an orange, or a pear. How many
possible outcomes are there for a lunch combination and a piece of fruit?
apple
orange
pear
apple
5
orange
pear
apple
orange
pear
apple
orange
pear
Type the answer in the box.
10
#80 will give brainliest to the best answer !!
Answer:
x = -2/7
Step-by-step explanation:
The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.
1. 7x + 2 = 0
7x = -2
x = -2/7
Therefore, x = -2/7 is the excluded value.
Answer:
3rd option
Step-by-step explanation:
[tex]\frac{14x}{7x+2}[/tex]
the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.
7x + 2 = 0 ( subtract 2 from both sides )
7x = - 2 ( divide both sides by 7 )
x = - [tex]\frac{2}{7}[/tex] ← excluded value
Write a 2nd degree equation whose solutions are 5+✓(11) and 5-✓(11)
Answer:
For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.
Step-by-step explanation:
