Answer:
to use the money when in an emergency
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
The first and second steps to solve the equation 3x/5+5=20 are shown below
Answer:
The solution of the equation is:
x = 25.Step-by-step explanation:
To solve the equation:
[tex]\frac{3x}{5}+5=20[/tex]First, you must add the terms 3x/5 and 5:
[tex]\frac{3x+25}{5}=20[/tex]Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:
3x + 25 = 20 * 53x + 25 = 100Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:
3x = 100 - 253x = 75At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:
[tex]x=\frac{75}{3}[/tex]x = 25If we use this value in the original equation, we can prove if it's the correct:
[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20As you can see, the result x = 25 is the correct.
PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3) b)(√5-√2)(√2+√5)
Answer:
[tex]{ \bf{a).}} \\ { \tt{( \sqrt{6} + \sqrt{3} )( \sqrt{6} - \sqrt{3}) }} \\ { \tt{ = ( { \sqrt{6} )}^{2} - {( \sqrt{3}) }^{2} }} \\ { \tt{ = 6 - 3}} \\ { \tt{ = 3}} \\ \\ { \bf{b).}} \\ { \tt{( \sqrt{5} - \sqrt{2})( \sqrt{2} + \sqrt{5} )}} \\ { \tt{ = ( { \sqrt{5} }^{2}) - { (\sqrt{2} }^{2}) }} \\ { \tt{ = 5 - 2}} \\ { \tt{ = 3}}[/tex]
Answer:
(6-3)(5-2)=3×3=9
Step-by-step explanation:
[tex]x ^{2} - {y}^{2} = (x - y)(x + y)[/tex]
[tex]( \sqrt{6} - \sqrt{3} )( \sqrt{6} + \sqrt{3} ) = ( { \sqrt{6} }^{2} - { \sqrt{3} }^{2} ) = 6 - 3 = 3[/tex]
Please help!
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answer: To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
Step-by-step explanation:
The Average of rate is -1.
Everytime it goes up by one the y goes down by 1 so it would be -1.
The average rate of change of the function in the table given is: -1.
What is Average Rate of Chnge of a Function?Average rate of change of a function = change in y / change in x = rise/run.
Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):
Average rate of change of the function = (7 - 5)/(-2 - 0)
Average rate of change of the function = 2/-2
Average rate of change of the function = -1.
Learn more about average rate of change on:
https://brainly.com/question/11627203
Can someone help me? It's urgent and thank you!
Answer:
480,700
Step-by-step explanation:
C(25,7)
25!/(7!*(25-7)!)
15511210043330985984000000/(6402373705728000*5040)
480700
consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.
Answer:
its A or C
Step-by-step explanation:
can you please please help me.
Answer:
yes
Step-by-step explanation:
yes
Answer:
[tex]x=22\text{ and } y=123[/tex]
Step-by-step explanation:
By definition, the interior angles of a triangle must sum to 180°. Therefore:
[tex](2x+13)+(57)+(3x)=180[/tex]
Combine like terms:
[tex]5x+70=180[/tex]
Subtract 70 from both sides:
[tex]5x=110[/tex]
And divide both sides by five. Hence:
[tex]x=22[/tex]
Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:
[tex]y+57=180[/tex]
So:
[tex]y=123[/tex]
Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:
[tex]y=(2x+13)+(3x)[/tex]
Since we've determined that x = 22:
[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]
We acquire the same answer.
I need a answer asapppppppp
Answer:
0.97
Step-by-step explanation:
in this case the number 1 signifies 100 percent hence
1-0.03=0.97
:))) enjoy your day
Find the volume of each shape, please and I will give you a lot of points
Step-by-step explanation:
1.V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18×16=288
3.V=LWH L is the length, W is the width and H is the height
10×14×5=700
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2−4x+1
y=x−3
Answer:
(1, -2), (4, 1)
Step-by-step explanation:
Here we want to solve the system of equations:
y = x^2 - 4*x + 1
y = x - 3
First, we can see that in both parts we have isolated the variable "y", so we can just write:
x - 3 = y = x^2 - 4*x + 1 = y
removing the "y"s, we get:
x - 3 = x^2 - 4*x + 1
Now we can solve this for x
0 = x^2 - 4*x + 1 - x + 3
0 = x^2 - 5*x + 4
This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
So for the case of our equation:
0 =x^2 - 5*x + 4
The solutions are given by:
[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]
So the two solutions are:
x₁ = (5 + 3)/2 = 4
x₂ = (5 - 3)/2 = 1
To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:
y = x₁ - 3 = 4 - 3 = 1
Then we have one solution at (4, 1)
And for the other:
y = x₂ - 3 = 1 - 3 = -2
then the ordered pair is (1, -2)
Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:
(1, -2), (4, 1)
((HELP ME PLEASEEEE))
For #2-7, decide if the triangles in each pair are similar. If they are similar, state how you know they are similar and then complete the similarity statement. If they are not similar, explain why.
Answer:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are not equal
3. ΔCBA ~ ΔHGF
4. ΔVUT ~ ΔVML
5. ΔTUV ~ ΔJKL
6. The ratio of all the corresponding sides and all the corresponding angles in triangles ΔSTU and ΔSCB are not equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are not equal
Step-by-step explanation:
2. The ratio of the corresponding sides of ΔUTS and ΔUDE are;
36/43, 16/39, and 16/40
We have;
[tex]\dfrac{36}{43} \neq\dfrac{16}{39}[/tex]
∴ ΔUTS is not similar to ΔUDE, because the ration of the corresponding sides of both triangles are not equal
3. The interior angles of ΔCBA are;
∠A = 33°, ∠B = 88°, and ∠C = 59°
The interior angles of ΔHFG are;
∠H = 33°, ∠F = 59°, and ∠G = 88°
∴ ΔCBA ~ ΔHGF (ΔCBA is similar to ΔHGF) (Letters rearranged) by Angle-Angle, AA, similarity postulate
4. The measure of angle ∠LMV = 25° = The measure of angle ∠UTV Given
The measure of angle ∠MVL = ∠TVU by reflexive property
Therefore, ΔVUT ~ ΔVML (ΔVUT is similar to ΔVML) by Angle-Angle, AA, similarity postulate
5. The measure of angles ∠T and ∠U in triangle ΔTUV are equal to the measure of angles ∠J and ∠K in triangle ΔJKL
Therefore, ΔTUV ~ ΔJKL (ΔTUV is similar to ΔJKL) by Angle-Angle, AA, similarity postulate
6. In triangles ΔSTU and ΔSCB, we have;
The ∠TSU = ∠TSU by reflexive property
However, ∠SUT ≠ ∠SNC ≠ ∠STU
Therefore, ΔSTU is not similar to ΔSCB due to the triangles have one non equal angle
[tex]\dfrac{SB}{SU} =\dfrac{22}{33} = \dfrac{2}{3} =\dfrac{18}{27} = \dfrac{CB}{TU} \neq \dfrac{21}{30} = \dfrac{7}{10} = \dfrac{CS}{TS}[/tex]
From which we get;
[tex]\dfrac{SB}{SU} \neq \dfrac{CS}{TS}[/tex]
∴ ΔSTU is not similar to ΔSCB, because not all the ratio of the corresponding sides and angles are equal
7. The ratio of the corresponding sides of triangles, ΔKLM and ΔKBC are;
[tex]\dfrac{KB}{KL} = \dfrac{18}{88} = \dfrac{9}{44}[/tex]
KM = KC + CM = 25 + 107 = 132
[tex]\dfrac{KC}{KM} = \dfrac{25}{132}[/tex]
Therefore;
[tex]\dfrac{KB}{KL} \neq \dfrac{KC}{KM}[/tex]
The ratio of the sides of triangles, ΔKLM and ΔKBC are;
Therefore ΔKLM and ΔKBC are not similar, because the ratio of the corresponding sides are not equal
five fifth-grade teachers and six fourth-grade teachers ordered 2 large pizzas all together how much will each person need to pay.
Answer:
$5.50
Step-by-step explanation:
5+6= 11
11/2
3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989
Answer:
311.104
010.989
Step-by-step explanation:
Can someone pls help me!
Answer: y =2x-5
Work:
2x-y=5
-y=-2x+5
-1y/-1 = -2x+5/-1
y =2x-5
classify the expression: 5x-4
An angle that measures between 90 and 180° is called?
Answer:
Obtuse AngleStep-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
(125^2 +25^2) (5^2-1) is divisible by 3
Answer:
See Below.
Step-by-step explanation:
We want to prove that the expression:
[tex](125^2+25^2)(5^2-1)[/tex]
Is divisible by three.
We can simplify the second factor:
[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]
Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.
Answer:
It is divisible by 3.
Step-by-step explanation:
(125² + 25²)(5² - 1) ÷ 3
(15625 + 625)(25 - 1) ÷ 3
(16250)(24) ÷ 3
390000 ÷ 3
130000
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2
I need help understanding these it’s my school work
Answer:
I believe that
1) Isosceles, acute
3) Scalene, obtuse
5) Isosceles, right
7) Equilateral, acute
Step-by-step explanation:
This should help in the future. :)
how can I solve this question ?
wick method should I use ?
Answer:
24/60=6/15=2/5=48/120=16/40
Step-by-step explanation:
Now we see that,
6/15=2/__
Let us say '__' in 2/__ is 'x'
6/15=2/x
6x=15x2
6x=30
x=5
=>2/5
Similarly,
2/5=x/120
2x120=5x
240=5x
5x=240
x=240/5
x=48
=>48/120
48/120=16/x
48/16=120/x
3=120/x
x=120/3
x=40
=>16/40
The product of two integers is (-112).
If one of them is (-8), find the other.
Answer:
14
Step-by-step explanation:
To find the other number , divide -112 by -8 and you will get 14.
Solve this pleaseeeee
Answer:
-4 < n ≤ 5
Step-by-step explanation:
________________
Find the perimeter of the figure below, in inches.
Answer:
The perimeter of the figure is 114.6
Step-by-step explanation:
If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.
Answer:
114.6
Step-by-step explanation:
just add all the sides together
Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: 7.142857142857143
Step-by-step explanation: all you have to do is divide 28.5 by 3.99
The cost per ounce of shampoo is 7.15 ounce.
Assume that the cost per ounce of shampoo is ${x}.
Total cost of bottle of a dog shampoo is $3.99.
Amount of shampoo in the bottle is 28.5 ounces.
So, we can write the cost per ounce of shampoo as
x = 28.5/3.99
x = 7.15 ounce
The cost per ounce of shampoo is 7.15 ounce.
To solve more questions on division, visit the link below-
https://brainly.com/question/15381501
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Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
[tex]h = 2r[/tex]
Cone B
R = 2r
[tex]h=r[/tex]
The volume of a cone is
[tex]V = \frac{1}{3}\pi r^2h[/tex]
For cone A, we have:
[tex]V = \frac{1}{3}\pi r^2*2r[/tex]
[tex]V_A = \frac{2}{3}\pi r^3[/tex]
For cone B, we have:
[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]
[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]
[tex]V_B = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]
Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]
[tex]V_B = 2 * V_A[/tex]
Make VA the subject
[tex]V_A = \frac{1}{2}V_B[/tex]
Hence, I agree with Ahmad
‼️‼️‼️‼️HELPP‼️‼️‼️‼️
Answer:
I can't see the small numbers.post it again
Step-by-step explanation:
If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
[tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]
please can you help me thanks
Answer:
Step-by-step explanation:
mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.
to find median arrange the data from ascending to descending order.
Data = 1,2,3,4,5,7,7,7,8,8
median = N + 1/2 (N means no of data )
=10 + 1/2
=11/2
=5.5
= 5th term + 6th term/2
=5+7/2
=12/2
=6
mean = sum of data / no of data
=3+7+2+4+7+5+7+1+8+8/10
=52/10
=5.2
range = largest value - smallest value
=8 - 1
=7
What is a lifetime cap?
Answer: A limit on how much an ARM's interest rate can change over the
life of a mortgage
Step-by-step explanation: took the quiz.
