Answer:
638.16Step-by-step explanation:
90% mark from z-score table is:
z = 1.28We have also:
μ = 546 and σ = 72According formula for z-score:
z = (x - μ)/σSubstitute values and solve for x:
1.28 = (x - 546)/72x - 546 = 1.28*72x - 546 = 92.16x = 92.16 + 546x = 638.167 teachers chip in to buy Mr. Caulin Yankee Tickets. Together they paid $350 for the tickets. There was also a 6% shipping fee they had to pay. Part a) How much did they pay in total with the shipping fee? Part b) How much did each teacher pay for the tickets with the shipping fee? Please help I'm taking a test and we have to show the work
Answer:
$371
$53
Step-by-step explanation:
Given :
Number of tickets purchased = 7
cost of the 7 tickets = $350
Shipping fee = 6%
Total amount paid with shipping fee :
Cost of 7 tickets + (6% * cost of 7 tickets)
$350 + (0.06 * $350)
$350 + $21
= $371
Amount each teacher paid with shipping fee:
Total cost with shipping / 7
$371 / 7
= $53
Please read the attachment i really need help with this its got all the info!
Answer:
[tex]200 \frac{43 \\ [/tex]
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is
Answer:
x = 8 cm
Step-by-step explanation:
Given that,
In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.
We need to find the value of x.
In a square, all the sides are equal. So,
PQ = QR
2x +3 = 3x – 5
3+5 = 3x - 2x
x = 8
So, the value of x is equal to 8 cm.
What is the volume of a cylinder with a base radius of 10 units and a height of 9 units?
Answer:
565.7 cubic units
Step-by-step explanation:
Volume of cylinder=2πrh
=2x(22/7)(10)(9)
=180x(22/7)
=565.7
how to use multiplication to find 4 divided by 1/8
Answer:
32, because when you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.
Step-by-step explanation:
4 ÷ 1/8
4/1 ÷ 1/8
4/1 × 8/1
4 × 8
32
When you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.
Answer:
32
Step-by-step explanation:
4
1
1
8
=(
4
1
)(
8
1
)
=
(4)(8)
(1)(1)
=32
y = 4 x − 1
y = − x + 4
Answer:
x=1 , y=3
Step-by-step explanation:
y = 4 x − 1
4(y = − x + 4)
y = 4 x − 1
4y= - 4 x +16
5y= 15
y=3
3=4x-1
+1 +1
4=4x
/4 /4
x=1
using the image,find angle x and y
Answer:
x =55 degrees
y = 35 degrees
Step-by-step explanation:
We know that the distance from the center of the circle to the circumference is the radius
that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same
Let us call one of the angles z
we know that the sum of the angles in a triangle is 180 degrees
That simply means;
80 + 2z = 180
2z = 180-80
2z = 100
z = 100/2
z = 50 degrees
So the angles at each upper end of the cyclic quadrilateral are;
x + 50 and y + 50
we know that the angles that face each other in a cyclic quadrilateral are supplementary
Thus;
95 + y+ 50 = 180
y= 180-95-50
y= 180-145
y = 35 degrees
Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50
Thus;
x + 50 = 105
x= 105-50
x = 55 degrees
Jane has a bag of candy.She gives 8 pieces to her friend. Then janes grandmother buys Jane 5 more pieces of candy than she had origanally.Now Jane has 27 pieces of candy.How many pieces of candy were in janes bag orignally
Answer:
40
Step-by-step explanation:
27+8+5=40 since 8 & 5 are the total amounts she took out of the original bag.
Answer:
Jane originally had 30 pieces of candy.
Step-by-step explanation:
27 plus the eight pieces she had before
gives you 35. Subtract it by the 5 pieces her grandma gave her and you get 30.
Which expression is equivalent to the given expression? -2x +8x -9 +4x +7x2 +2 A. B. C. D.
Answer:
The answer is "[tex]7x^2 +10x -7[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]
Solving the given value:
[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]
A boat travel 45 miles in three hours at this rate how many miles with a boat travel in half an hour
Answer:
7 1/2 miles per half hour
Step-by-step explanation:
First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.
I hope this helped :)
(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)
No files just type in please and thank you
Tables--> 2
Each table--> (4*2) 8 boxes
Each box--> (8*6) 48 crayons
On each table--> 48/2
= 24 crayons on each table.
mark me brainliestttt :)))
What relationship do you notice between the total number of fish each has caught after each hour?
Answer:
Scott always has 2 more fish per hour or S=M+2
Step-by-step explanation:
5-3 = 2, 9-7 = 2,...
For any given hour, Scott has reeled in 2 more fish compared to Megan.
We can see this by subtracting Scott's amount and Megan's amount for any row.
Row One: 5-3 = 2Row Two: 9-7 = 2Row Three: 13-11 = 2Row Four: 17-15 = 2Because any given row has the same difference, this tells us that the slopes of each are the same.
The equation for Megan is y = 4x-1 while Scott's equation is y = 4x+1
x = number of hours, y = number of fish caught
Lines with equal slopes indicate parallel lines. If these trends keep up, then Megan will never catch Scott (she'll always be 2 fish behind him).
I can't figure out the answer
Answer:
39
Step-by-step explanation:
y=arctan(0.8)=38.65=39
The area of the base of a cylinder is 42 square inches and its height is 11 inches. A cone has the same area
for its base and the same height. What is the volume of the cone?
SOMEOM PLEASE GELP ME
Answer:
You need to post the angle too
Step-by-step explanation:
o
50°
C с
B
In the diagram, AC is a diameter of the circle with center O. IfmZACB = 50°, what is mZBAC?
OA.
50°
OB.
40°
O c.
80°
D.
1000
Answer:
B,∠BAC=40°
Step-by-step explanation:
diameter makes 90° on the circumference.
∠CBA=90°
∠ACB+∠CBA+∠BAC=180°
50+90+∠BAC=180
∠BAC=180-140=40°
can someone help me plz
Answer:
it would probably be around 1.8 or either 1.7
is 4(y - 2) + 4 = 2(2y - 2) no solution , one solution or infinitely many solutions?
Answer: Infinitely many solutions
Step-by-step explanation:
Let's start solving by using the distributive property and simplifying.
[tex]4(y-2)+4=2(2y-2)\\(4)(y)-(4)(2)+4=(2)(2y)-(2)(2)\\4y-8+4=4y-4\\\\4y+-8+4=4y-4\\4y-4=4y-4[/tex]
As you can see they formed into the same equation. This means that any number can sub in for y giving this infinite solutions.
Sketch and solve the following triangles.
1. The legs of a right triangle measure 5cm and 12cm. What is the measure of its hypotenuse?
2. In ∆ABC and C is a right angle, if c = 12 and b = 10, find cos A.
3. In ∆ABC and C is a right angle, the opposite of ∠A = 12. if the hypotenuse = 13, find tan θ.
4. If sin A = [tex] \frac{15}{17} [/tex] What is tan A?
5. If cot θ = [tex] \frac{7}{24} [/tex] What is sec θ?
[tex]\large\tt{(Nonsense \: will \: be)} \\ \large \tt{( \: reported!)} [/tex]
Answer:
#1
Use Pythagorean:
c² = a² + b²Apply to given and find c:
c² = 5² + 12²c² = 169c = √169c = 13 cm#2
cos = adjacent / hypotenusecos A = b/ccos A = 10/12 = 5/6#3
Assumed θ is ∠A, this is not too clearWe have:
a = 12c = 13We know that:
tan A = a/bFind b:
b = √c² - a² = √13²-12² = √25 = 5So
tan A = 12/5#4
Given
sin A = 15/17We know that:
sin A = a/c, so a = 15 and c = 17tan A = a/bFind b:
b = √c² - a²= √17²-15²= √64 = 8So
tan A = a/b = 15/8#5
Given
cot θ = 7/24We know:
cot = adjacent / oppositesec = 1/cos = hypotenuse / adjacentFrom the cot we have:
adjacent = 7, opposite = 24Hypotenuse is:
√24² + 7² = √625 = 25So,
sec θ = 25/7What is the value of x in the proportion below?
StartFraction One-half over 4 EndFraction = StartFraction x over 28 EndFraction
Answer:
3 and one-half
Step-by-step explanation:
½/4 = x/28
⅛ = x/28
x = 28/8
x = 7/2 = 3½
How many participants whose age fall between 31 to 33 years old?
Note: Consider the below frequency distribution table of the ages of the participants is attached with this question.
Given:
The frequency distribution table of the ages of the participants.
To find:
The number of participants whose age fall between 31 to 33 years old.
Solution:
In the given frequency distribution table the frequencies represents the number of participants of corresponding age group.
From the given frequency distribution table of the ages of the participants, it is clear that the frequency for age class 31-33 is 5.
Therefore, there are 5 participants whose age fall between 31 to 33 years old.
A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round your answers.
Answer:
0.8 Miles per minute. 1.6 miles in 2 minutes
Step-by-step explanation:
It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.
For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.
Hope this helps
:)
(Trigonometry) A ramp is needed to allow vehicles to climb a 2-foot wall. The angle of elevation for the vehicles to safely go up must be 30° or less, and the longest ramp available is 5 feet long. Can this ramp be used safely? Provide us with the angle x to the nearest 10th and a yes or no.
Answer:
The ramp is safe.
The unknown angle measure is, ([tex]23.6[/tex])
Step-by-step explanation:
Assume that the ground makes a (90) degree angle with the wall. This means that the formed triangle is a right triangle. Thus, one can use the right angle trigonometric ratios. These ratios are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
The hypotenuse is the side opposite the right angle of a right triangle. This side's name doesn't change. However, the (opposite) and (adjacent) sides change names based on the angle one is using to describe them in the ratio.
In this case, one is given the side opposite to an angle, as well as the hypotenuse. However, one isn't given the measure of the angle. Thus, one should use the ratio of sine (sin) to find the unknown side. Let theta ([tex]\theta[/tex]) represent the measure of the unknown angle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(\theta)=\frac{2}{5}[/tex]
Inverse operations,
[tex]\theta=sin^-1(\frac{2}{5})[/tex]
Simplify,
[tex]\theta=23.578178[/tex]
Since the value of ([tex]\theta[/tex]) is less than (30) degrees, the ramp can be used safely.
A= pi2 and find the area of a circle with radius 5 cm. Use pi = 3.14
Answer:
78.5398163397
Step-by-step explanation:
5x5= 25xpi=78.5398163397
Find the value of LM and LN if M is between L and N.
LM = 7x + 4, MN = 20, LN = 10x
Answer:
LM = 20
LN = 160/7
Step-by-step explanation:
If M is between L and N, then LM = MN
Given
LM = 7x + 4, MN = 20, LN = 10x
7x+4 = 20
7x = 20 - 4
7x = 16
x = 16/7
LM = 16/7(7) + 4
LM = 16 + 4
LM = 20
LN = 10x
LN = 10(16/7)
LN = 160/7
please help!! i’ll give you brainliest
Answer:
4
Step-by-step explanation:
Answer:
m = 5
Step-by-step explanation:
to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2
10 ÷ 2 = 5
Please give me brainliest!
Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth
Answer: [tex]1\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
The equation in terms of a is
[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]
i need help with this question somebody please help !
Answer:
15
Step-by-step explanation:
f(x)=2x^2-3x+1
f(-2)=2*(-2)^2 -(3*-2)+1
=2*4-(-6)+1
=8+6+1
=15
f(-2)= 15
OPTION C is the correct answer
Find the x- and y-intercepts for the linear equation –3x + 4y = 24.
Answer:
x- intercept = - 8, y- intercept = 6
Step-by-step explanation:
To find the x- intercept let y = 0 and solve for x
- 3x + 4(0) = 24
- 3x = 24 ( divide both sides by - 3 )
x = - 8 ← x- intercept
To find the y- intercept let x = 0 and solve for y
- 3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ← y- intercept
Answer:
Step-by-step explanation:
-3x+4y-4y=24-4y
-3x=24-4y
-3x/4=24/4-4y/4
-3x/4=6-y
-3x/4+6=-y
Find the standard deviation of the data set shown. Round your answer to the nearest tenth.
4,5,9,1,2,5
The standard deviation is about_________
Mark Brainliest Please
Answer:
Answer is gicen in the image attached.
Step-by-step explanation:
Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.
For more help check Khan academy video
https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias
Answer:
2.6
Step-by-step explanation:
To calculate standard deviation:
(1) Find the mean - 4.33
4 + 5 + 9 + 1 + 2 + 5 = 26 26 / 6 = 4.333... ≈ 4.33
(2) Subtract the mean from each value and square each result
[tex](4 - 4.33)^2 = 0.1089[/tex] [tex](5 - 4.33)^2 = 0.4489[/tex] [tex](9 - 4.33)^2 = 21.8089[/tex]
[tex](1 - 4.33)^2 = 11.0889[/tex] [tex](2 - 4.33)^2 = 5.4289[/tex] [tex](5 - 4.33)^2 = 0.4489[/tex]
(3) Find a new mean with the new values from the previous step
0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334
39.3334 / 6 = 6.555566667
(4) Take the square root of the new mean.
[tex]\sqrt[]{x6.555566667} =2.560384086[/tex]
2.560384086 rounded to the nearest tenth is: 2.6
