Equation [tex]x^{2}-6x=-5[/tex]
Solving:
[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]
3 7) Find the quotient: : 3/7 1/2
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 100 children from this group and finds that their mean IQ score is 100. Based on this sample, find a 99% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answer:
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]
Rounding to one decimal place, the margin of error is 2.6.
The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.
The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.
The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.
Find Y
Special right triangles
Please last question of the day!! Due very soon
Given:
A right triangle with angles 30, 60, 90 degrees.
Hypotenuse = [tex]2\sqrt{2}[/tex] mm.
Base = y
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]
[tex]\sqrt{2}=y[/tex]
Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.
Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85
The value of the angle theta is 58 degrees
How to determine the value of the angle thetaFrom the question, we have the following parameters that can be used in our computation:
Sin 0=0.85
Express the angle in the equation properly
So, we have the following representation
sin(Ф) = 0.85
Take the arc sin of both sides of the equation
So, we have the following representation
sin⁻¹(sin(Ф)) = sin⁻¹(0.85)
Evaluate the arc sin of one side of the equation
So, we have the following representation
Ф = sin⁻¹(0.85)
Evaluate the arc sin of the other side of the equation
So, we have the following representation
Ф = 58.2116693829
Approximate the equation
Ф = 58 degrees
Hence, the solution is 58 degrees
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What transformation maps triangle XYZ onto triangle X'Y'Z'?
Answer:
a translation of 4 in y direction.
hope it helps.
stay safe healthy and happy.
write the first five terms of the sequence.. NO LINKS!!!
Answer:
5,50,500,5000,50000
Step-by-step explanation:
The first term is given
a1 =5
The second term is when n=2
a2 = 10 * a1 = 10 * 5 = 50
The third term is when n=3
a3 = 10 * a2 = 10 * 50 = 500
The fourth term is when n=4
a4 = 10 * a3 = 10 * 500 = 5000
The fifth term is when n=5
a5 = 10 * a4 = 10 * 5000 = 50000
Prime numbers are the _______ _______of all numbers
The numbers which have only two factors either 1 and the number itself are called prime numbers.
What is prime numbers?Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number
Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
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Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.
note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)
Note (the chapter name is fractional equations, so they want us to make an equation and solve it)
The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:
9 and 11.
How to obtain the numbers?The two numbers are odd numbers and consecutive, hence they are symbolized as follows:
n and n + 2. (as n + 1 is even).
Their reciprocals are given as follows:
1/n.1/(n + 2).The difference of their reciprocals is obtained as follows:
1/n - 1/(n + 2) = 2/99.
The least common factor of n and n + 2 is of n x (n + 2), hence:
(n + 2 - n)/[n(n + 2)] = 2/99
2/[n(n + 2)] = 2/99.
As the numerators are equal, we take the denominators to solve for n as follows:
n(n + 2) = 99.
n² + 2n - 99 = 0.
(n - 9)(n + 11) = 0.
Applying the Factor Theorem, the solutions are given as follows:
n - 9 = 0 -> n = 9.n + 11 = 0 -> n = -11.We want the positive numbers, hence the numbers are:
n = 9 and n + 2 = 9 + 2 = 11.
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is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false
Answer:
True, 50 tens times hundreds equal 40 tens times 5 hundreds
Step-by-step explanation:
50 tens times 4 hundreds equals to 40 ten times 5
hundreds because if you multiply 50 by 4 hundreds
you'll get 20,000 and if you multiply 40 tens by
hundred it will still give you 20,000
Therefore:
50 × 400 = 40 × 500
20,000 = 20,000
is 11^2 x 5^4 a factor of 11^3 x 5^4
No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.
11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
75125 / 75125 = 1 with a remainder of 0.
Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
Which of the following numbers is the slope of the line tangent to the curve y=x2+5x at x=3?
A television set cost $350 cash when bought on hire purchase a deposit of $35 is required followed by 12 monthly payments of $30 how much is saved by paying cash
Answer:
www.imsorryineedpoints.orgStep-by-step explanation:
no links please
please quick!
Answer:
25%
Step-by-step explanation:
3/12 kids read over 9.5 hours
3 x 4 is 12
from percents, 25, 50, 75, 100
so it would be 25%
Please solve this problem and I’ll give brainliest
Answer:
I am pretty sure that the answer is d
Step-by-step explanation:
For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
what is 1+2+3+4+...+1000?
Answer:
[tex]S_{1000}=500500[/tex]
Step-by-step explanation:
[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]
Please help me! If you get it right, I will give you Brainlist!
Answer:
720m^2
Step-by-step explanation:
Answer your answer is B
Help me with this question please! NO FILES!
Answer:
56
Step-by-step explanation:
Answer:
54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye
Step-by-step explanation:
list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12
The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
What is a number line?A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.
The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.
Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
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Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
4 jars
5 jars
8 jars
10 jars
Answer:
(c) 8 jars
Step-by-step explanation:
You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.
JarsThe number of jars can be found from ...
(2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars
Lorraine can fill 8 jars from the 2.5 gallon pot.
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In parallelogram ABCD, the measure of angle B is 107°.
(a) What is the measure of d
(b) What is the measure of a
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
A) 26.563 miles in total
B) 1.977 more miles
Step-by-step explanation:
for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.
A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.
The acceleration of the particle is 1 foot per second square
How to determine the acceleration of the particle?From the question, we have the following parameters that can be used in our computation:
Velocity function v(t) = −t2 + 5t − 3
Express properly
So, we have
v(t) = -t² + 5t − 3
At time t = 3 seconds, we have
v(3) = -(3)² + 5(3) − 3
Evaluate
v(3) = 3
So, we have
Acceleration = v(3)/3
This gives
Acceleration = 3/3
Evaluate
Acceleration = 1 foot per second square
Hence, the acceleration is 1 foot per second square
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I need help with this question, plz someone
Answer:
1 and 2
Step-by-step explanation:
if you flip T2 it will look like T1
Answer:
The correct answer is a D
Step-by-step explanation:
if you look at figures 1 and 3 they are the same only that 3 is bigger
Help plz:)))I’ll mark u Brainliest
Answer:
The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..
Step-by-step explanation:
HOPE IT HELPS!!
NEED HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
Solution to these system of equations is where they intercept
Answer:
B. (-2, -3)
Step-by-step explanation:
Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).
A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?
When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
what is rectangle ?4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.
given
Allowing for a rectangular card that is x cm long and y cm broad
The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.
L+B = L+B -2 = 2(L + B)
= 2(L-4 + B+2) = 2(L + B)
= L+B = L+B -2
Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
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The radius of a cylinder is 3 cm and the height is 6
Find the volume.
O 9611
O 5411
0 2511
Answer:
Volume = πr²h
= π x 3² x 6
= 54π
Option B
Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =
Answer:
when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2
Find the distance between the two points rounding to the nearest tenth (if necessary
(-8,0) and (1,7)
9514 1404 393
Answer:
11.4
Step-by-step explanation:
Put the given coordinates in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130
d ≈ 11.4 . . . . units
The distance between the two points is about 11.4 units.