Answer:
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute
The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Jacob runs 2652 yards in 15 minutes. Michael runs 7920ft in .375 hours. who will win the race?
Answer:
I think Jacob wins the race
find the slope for 1-6
Answer:
1) 10/3
2) -1./3
3) -2/5
4) 1
5) undefined
6) 0
Step-by-step explanation:
Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.
slope = rise/run = (difference in y)/(difference in x)
1) slope = 10/3
2) slope = -1/3
3) slope = -2/5
4) slope = 1/1 = 1
5) slope = undefined (The slope of a vertical line is undefined.)
6) slope = 0 (The slope of a horizontal line is 0.)
The solution set of the equation x² + 5x = 0 is:
A. {0}
B. {5}
C. {-5}
D. {0, -5}
Answer:
D
Step-by-step explanation:
x²+5x=0
by factorizing;
x(x+5)=0
x=0 or x+5=0
Therefore, x= 0 or x=-5 ---> {0, -5}
Abi is carrying 3 gallons of milk. Each gallon of milk weighs 8.6 pounds. Abi wants to know the total weight of milk he is carrying.
Abi draws the area model below to find the product of 3 and 8.6.
8
0.6
3
3 x 8 = ?
3 x 0.6 = ?
What is the total weight of the milk he is carrying?
Use the number pad to enter your answer in the box.
Answer:
25.8 pounds
Step-by-step explanation:
3 x 8.6 = 25.8
Sahil is 3/4 foot taller than Charlie. Charlie is 5 1/8 feet tall. Which equation can be used to find Sahil’s height, h ?
A. 3/4 + h= 5 1/8
B. 3/4 - h= 5 1/8
C. 5 1/8 + 3/4= h
D. 5 1/8 - 3/4= h
Answer:
Step-by-step explanation:
C. 5 1/8 + 3/4 = h
Since Charlies heigh is 5 1/8 feet tall. It says Sahil is 3/4 foot taller then Charlie. So 5 1/8 + 3/4 = Sahil height
Consider all five-digit numbers that can be created from the digits 0-9 0 - 9 where the first and last digits must be odd and no digit can repeat. What is the probability of choosing a random number that starts with 7 7 from this group? Enter a fraction or round your answer to 4 4 decimal places, if necessary.
Using the collected data above what would be a reasonble rough estimate of a ratio of how many cubic inches per orange?
given the farmer's market wanted o use a box that had the dimensions, approximately how many oranges should fit?
The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.
What is volume?In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.
The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.
Given
dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6
volume of box 1 = 20 x 13 x 12 = 3120 cubic inches
volume of box 2 = 1728 cubic inches
volume of box 3 = 20 x 10 x 6 = 1200 cubic inch
oranges in box 1 = 96
oranges in box 2 = 53
oranges in box 3 = 37
and radius of orange = 32./2 = 1.6 inches
volume of each orange = 4/3πr³
volume of each orange = 4/3(3.14)(1.6)³
volume of each orange = 4/3(3.14)(4.096)
volume of each orange = 17.14 cubic inches
here one orange will cover 17.14 cubic inches.
7. let the dimension of box is 15 x 12 x 16
volume of box is = 15 x 12 x 16 = 2880 cubic inches
the number of oranges in box will be 2880/17.14 = 168 oranges
Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.
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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.
In this figure please see questions
Answer:
15,700
Step-by-step explanation:
The formula is 3.14(r^2)h
Hope this helped :)
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please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
mila was baking cookies this weekend. she took 3 over 20 of the cookies to school on monday. and she gave 7 over 20 of the cookies to her neigbor. how much of the cookies did she gave away?
A
G
O
N
S
A
Answer:
Step-by-step explanation:
As she is baking cookies = 3/20
she egave it to her neigbour = 7/20
Remaining = ?
R = 3/20 -7/20 = -1/5
What is 10/83 simplified
Answer:
5/19
Step-by-step explanation:
The sum of two numbers is 52. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
36 and 16
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.
Evaluate the expression Z/8, or z 8 for each of the following values for Z:
20) Z = 10.2
21) Z = 92
22) Z = 16.016
23) Z = 5 4/9
Evaluate each expression below if m = 32 and n = 150
24) m/16, or m by 16
25) 2N - 200
26) 3/4M -12
Answer:
1.275
11.5
2.002
0.68
2
0
12
Step-by-step explanation:
Evaluate Z/8 for each :
Z = 10.2 ; 10.2 / 8 = 1.275
Z = 92 ; 92/ 8 = 11.5
Z = 16.016 ; 16.016 / 8 = 2.002
Z = 5 4/9 ; (49 /9) ÷ 8 = 0.68
Evaluate each expression below if m = 32 and n = 150
m/16 ; 32 / 16 = 2
2N - 200 ; 2(150) - 300 = 300 - 300 = 0
3/4M -12 ; 3/4(32) - 12 = 24 - 12 = 12
What is the difference In -4-(-7)
Answer:
Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.
2//2/2/3/2/2//3/3/3//3/3/4/5/5
Answer:
can u be more specific so i can properly help u
Explanation:
pls explain and i will edit my answer
PLEASE HELP! ASAP!!!!!!!!!!!!!!!!
Answer:
Area = 24 in.²
Step-by-step explanation:
Area of the parallelogram = base × height
base = 6 in.
height = h = ?
Use pythagorean theorem to find h
Thus:
h² = 5² + 3²
h² = 25 - 9
h² = 16
h = √16
h = 4 in.
Plug the values into the formula for area of parallelogram
Area = 6 × 4
Area = 24 in.²
what is Negative ninety two hundredths as number
Select the correct answer. Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? gx+2f(x)=2(2>x) A. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted up by a factor of 2.
Answer:
the answer to your question is A
Step-by-step explanation:
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Option A is correct.
What is a Function?A mathematical phrase that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given the function f(x) and the function g(x), also we are given the equation which related the functions f(x) and g(x).
We have to find the transformation that f(x) will undergo in order to get the graph of the function g(x).
From the given data:
f(x) = 2x
g(x) + 2f(x) = 2
∴ g(x) = 2 - 2f(x)
Now from the above equation we can clearly see that when 2 will be multiplied in f(x) its graph will be stretched horizontally by a factor of 2.
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Hence, The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
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Gabby assumed she could sell 45 boxes of cookies by Friday, but she only sold 26 boxes. What was Gabby's percent error?
Answer:
73.07%
Step-by-step explanation:
Given that,
Actual value of sold cookies = 26
Assumed value of sold cookies = 45
We need to find Gabby's percent error. The percentage error in a value is given by :
Error = ](Assumed value - Actual value)/Actual value]× 100
So,
[tex]\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%[/tex]
So, Gabby's percent error is equal to 73.07%.
Answer: 73.1
Step-by-step explanation: Although the answer is 73.07 if you're in Acellus they want you to round to the nearest percent so the answer should be 73.1
What do the properties of polynomial addition mean? Complete each statement.
The closure property states that the sum of two polynomials is a
The commutative property states that changing the order of two or more terms
~ the value of the sum.
The associative property states that the way in which two or more terms are grouped in a sum
the value.
The Complete statement are:
The closure property states that the sum of two polynomials is a polynomial.The commutative property states that changing the order of two or more terms does not change the value of the sum.The associative property states that the way in which two or more terms are grouped in a sum does not change the value of the sum.What is the properties of polynomial addition about?The properties of polynomial addition include closure, commutativity, and associativity.
These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.
Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.
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Answer:
Step-by-step explanation:
This function describes the time, t(d), in seconds, an object takes to hit the ground after falling d feet.
t (d) =sqrt{d/16}
How long will it take for an object to fall 1,600 feet?
A. 4 seconds
B. 10 seconds
C. 100 seconds
D. 160 seconds
Answer:
help me plzz
Step-by-step explanation:
The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes
What is the domain of the function F(x) = 2 cos(3x - 1)?
A. [-2, 2]
B. [-1, 1]
C. All real numbers
D. [-3,3]
Answer:
All real numbers
Step-by-step explanation:
Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6
Select each expression that is equivalent to 4n+12
A. 16n
B. 2n+6+2n+6
C. 2(2n+4)+2
D. 4(n+3)
E. 3(n+4)+n
F. n+n+n+n+12
Answer:
B D E F
Step-by-step explanation:
cuál es el resultado de |-15| x (-5)
Answer:
[tex]\frac{15}{x^5}[/tex]
Step-by-step explanation:
[tex]\left|-15\right|x^{-5}[/tex]
Step 1: Apply exponent rule: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left|-15\right|\frac{1}{x^5}[/tex]
Step 2: Multiply fractions: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]
Step 3: Simplify
[tex]=\frac{15}{x^5}[/tex]
The result is [tex]=\frac{15}{x^5}[/tex]
Spanish/Espanól
Respuesta:
[tex]\frac{15}{x^5}[/tex]
Explicación paso a paso:
[tex]\left|-15\right|x^{-5}[/tex]
Paso 1: aplique la regla del exponente: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left|-15\right|\frac{1}{x^5}[/tex]
Paso 2: multiplica fracciones: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]
Paso 3: simplifica
[tex]=\frac{15}{x^5}[/tex]
El resultado es [tex]=\frac{15}{x^5}[/tex]
Kevin hopes to earn a college basketball scholarship. To improve his shooting skills, Kevin shoots 50 baskets / day. If Kevin shoots 50 baskets every day for 60 days, how many shots will Kevin take?
Based on the experiment if a card is chosen 200 times how many times would you expect to pick a card without stripes?
The number of expected times to pick a card without strips is 130.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The percentage of stripes from the 120 times.
= 42/120 x 100
= 35%
Now,
Based on this experiment,
The number of strip cards out of 200 times.
= 35% of 200
= 35/100 x 200
= 35 x 2
= 70
The number of times to pick a card without strips.
= 200 - 70
= 130
Thus,
The expected number of times to pick a card without stripes is 130.
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The complete question is given below.
please help me someone
Answer: itz d plz trust me
A pipe has 9/16" that is threaded, but you need to trim 4/32" off of the threaded part. How long will the threaded be after the trim? a. 17/32, b. 7/8, c. 7/16, d/ 15/32
1. In the diagram below which expression represents x, the measure of the exterior angle shown?
Answer:
a) a + b
Step-by-step explanation:
The value of the exterior angle x will be (a+b).
What is an exterior angle?The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.
The exterior angle is the sum of the two opposite internal angles of any figure.
The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.
Therefore the value of the exterior angle x will be (a+b).
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