Answer:
The Clown grabbed 126 balloons
Step-by-step explanation:
Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Yes, we can
Step-by-step explanation:
H0 : μ = 9.75
H1 : μ > 9.75
n = 25 ; xbar = 9.85 ; σ = 0.27
The test statistic:
T = (xbar - μ) ÷ (σ / √n)
T = (9.85 -9.75) ÷ (0.27 ÷ √25)
T = 0.1 ÷ 0.054
T = 1.85
We can obtain the Pvalue from the test statistic using the Pvalue calculator :
Pvalue at t score = 1.85 ; 24 = 0.038
If Pvalue < α ; Reject H0
α = 0.05
Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box
see image for question
Answer:
the correct option is " A= 5t+100 ".
What is the measurement of angle x
C is a vertical angle which the vertical side is corresponding to the vertical side of x°.
105°+54°+y°=180°
159°+y°=180°
y°=21°
Meaning, x=21°.
There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.
Answer:
I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31
Step-by-step explanation:
If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31
So therefore 31 of the pencils are colored. Hope this helps!
The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds
b.) 0.25 seconds
c.) 0.5 seconds
d.) 1 second
Answer:
c. o.5seconds
Step-by-step explanation:
y=-16t^2 +4t+2
=-2(8t^2 -2t-1)
=-2(8t^2 -4t+2t-1)
as the object hits the ground y =0
0 =-2(4t+1)(2t-1)
(4t+1)(2t-1)=0
t=-1/4 meangless
t=1/2
=0.5seconds
The time at which the object hit the ground is 0.5 second.
The correct option is (C).
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16t² +4t+2
Now, the time at which the object hit the ground
y = 0
-16t² +4t+2 = 0
-2(8t² -2t-1) = 0
8t² -2t-1 = 0
8t² -4t + 2t -1 = 0
(4t+1)(2t-1) = 0
So, 4t+ 1= 0 or 2t- 1=0
t= -1/4 or t = 1/2.
Hence, the object will hit the ground at t= 0.5 second.
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interest rate 6% is:
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
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Select the equation of a straight line that is parallel to the line 4y = 3x + 5.
Answer:
B)
Step-by-step explanation:
4y = 3x + 5 has a slope of 3/4
4y = 3x - 1 has a slope of 3/4
parallel lines have equal slopes
The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line
The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:
y = (3/4)x + 5/4.
The slope of the given line is (3/4).
To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:
A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.
B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.
C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.
D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.
Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
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Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel
Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
Y=-2x find Oder pairs
If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole
Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 132, find the numbers.
Let the larger number be x
The smaller number would be 1/5x
X - 1/5x = 132
Simplify:
4/5x = 132
Divide both sides by 4/5:
X = 165
1/5x = 1/5(165) = 33
The numbers are 165 and 32
If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
Question 9 options:
A)
∠A + ∠C ≅ ∠B
B)
∠A ≅ ∠B
C)
∠A ≅ ∠C
D)
∠B ≅ ∠C
Answer:
A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary
Answer:
Answer A is incorrect
Step-by-step explanation:
Just took the test
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Find the surface area
Answer:
144
Step-by-step explanation:
Surface Area is the area of every side.
Top and bottom: 6*8/2=24 (area of a triangle)
small side: 6*4=24
medium side: 4*8=32
large side: 4*10=40
So answer 24+24+24+32+40=144
Have a Great Day! (This is my first answer)
A:Alternate interior angles
B:Corresponding angles
C:Consecutive interior angles
D:Vertical angles
relationship between v and x is C:Consecutive interior angles
The line AB is shown on the grid.
0%
6-
a) Find the gradient of a line
perpendicular to AB.
5-
3-
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
B В
+
Х
-B
LE
0
ab
А
2-
Answer:
1) The gradient of a line perpendicular to AB.→ [-2}
2) The equation of the line perpendicular to AB and passing
through the midpoint of AB. →[y=-2x+6]
[tex]---------[/tex]
hope it helps....
have a great day!!
Answer:
-2
Step-by-step explanation:
yep
Help me and I’ll give you brainliest
Answer:
49
Step-by-step explanation:
What is one example of a rectangular prism with a volume of 64?
That's NOT 4x4x4 or 8x4x2!!!
Answer:
16 × 2 × 2
Step-by-step explanation:
64 = 2 × 2 × 2 × 2 × 2 × 2
=> 16 × 2 × 2
Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answer:
Point C
Point A is located at (3, 2)
Point B is located at (2, 2)
Point C is located at (2, 3)
Point D is located at (3, 3)
what shape is that? Please don't answer the question, i just need to know the shape.
Answer:
Rectangle.
Step-by-step explanation:
It has 4 sides.
Answer:
It is a Wedge
Step-by-step explanation:
Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge
Help me plz I suck at math
Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?
Answer:
k = -5
Step-by-step explanation:
Direct variation formula:
y = kx
Given:
x = 2
y = -10
Work:
y = kx
-10 = 2k
k = (-10)/2
k = -5
In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1
Answer: 7 x + 6 = 6 x minus 3
Step-by-step explanation:
2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3Answer:7x+6=6x-3
Step-by-step explanation:
Use the standard algorithm to find the product of 125 x 16.
Ok
Answer:
2,000
Step-by-step explanation:
125 x 16 = 2000
Your company is considering offering 500 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 200 factory workers, and 400 miscellaneous staff, find the following probabilities, leaving the answers as formulas.
a. All the managers will be offered the opportunity.
b. You will be offered the opportunity.
Answer:
a)
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b)
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
Step-by-step explanation:
Given
The total number of opportunities to employees for transfer = 500
Company currently has 100 managers, 200 factory workers, and 400 miscellaneous staff
a) All the managers will be offered the opportunity
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b) You will be offered the opportunity
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5
key ans lang yan sana makatulong HAHAHA
f(x) = 6x + x 2 I have to find the x-intercept
Answer:
x= -6,0
Step-by-step explanation:
y=6x + x²
at x intercept, y=0
0= 6x +x²
-6x=x²
therefore,
x=0, x=-6
Which rectangle has a greater length?
a. area = 80 cm^2 (5cm)
(?cm)
b. area = 120 cm^2 (8cm)
(?cm)
Answer:
the answer for the question is 1.5