Answer:
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Step-by-step explanation:
Step(i):-
Given mean of the population 'μ'=75 feet
Given mean of the sample(x⁻) = 77
Given standard deviation of the sample(S) = 5.9
Given sample size 'n' =80
Step(ii):-
Test statistic
[tex]t=\frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t=\frac{77-75}{\frac{5.9}{\sqrt{80} } }[/tex]
t = 3.032
Degrees of freedom ν=n-1 = 80-1 =79
tabulated value = 1.9904 at 5% level of significance
The calculated value t = 3.032
Final answer:-
The calculated value t = 3.032 > 1.9904 at 5% level of significance
What is the volume of the figure? Enter the answer in the Box. In cubic centimeters
Answer:
264 cm³
Step-by-step explanation:
(5*5*8)+(*8*8*1)
200+64=
264 cm³
The volume of the figure 264 cubic centimeters.
What is rectangular prism?"It is a three-dimensional solid shape which has six faces that are rectangles."
Formula to calculate the volume of rectangular prism:V = l w h, where l is the length, w s the width and h is the height of the rectangular prism.
Given figure consists of two rectangular prisms.
For the smaller rectangular prism,
length(a) = 8 [tex]V_2= 8\times 5\times 5[/tex]cm, width(b) = 8 cm and height(h) = 1 cm
For the larger rectangular prism,
length(p) = 8 cm, width(q) = 5 cm and height(r) = 5 cm
Let [tex]V_1,V_2[/tex] represents the volume of the smaller and larger rectangular prisms respectively.
The volume of the smaller rectangular prism would be,
⇒ [tex]V_1=a\times b\times c[/tex]
⇒ [tex]V_1=8\times 8\times 1[/tex]
⇒ [tex]V_1=64[/tex] cu.cm.
The volume of the larger rectangular prism would be,
⇒ [tex]V_2=p\times q\times r[/tex]
⇒ [tex]V_2=8\times 5\times 5[/tex]
⇒ [tex]V_2 = 200[/tex] cu.cm.
The volume of the figure is:
= [tex]V_1+V_2[/tex]
= 64 + 200
= 264 cubic centimeters
The volume of the figure 264 cubic centimeters.
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Evaluate the numerical expression 3+21-180÷9. The value of the expression is?
Answer:
the answer is 4.
the steps are...
180÷9=20 then 3+21=24 the subtract 20 and 24 then you will get 4
Answer:
The answer is number 4
Step-by-step explanation:
4x9/108+21-3
After examining a child at his 2-year checkup, the boy's pediatrician said that the z-score for his height relative to other 2-year-olds in the country was 1.59. The pediatrician explains to the parents that the most extreme 5% of cases often require special treatment or attention. a) Does this child fall into that group? b) What do you need to assume about the heights of 2-year-olds to find your answer to part a? a) The child _______into this group because he is___________than_______ standard deviation from the mean.b) Choose al that apply. A. the distribution of heights is skewed B. the heights are independent C. the distribution of heights is symmetric D. the number of heights is very large E. the distribution of heights is unimodal
a)The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.
b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.
A z-score of 1.59 means that the child's height is 1.59 standard deviations above the mean height for 2-year-olds. To decide if the child falls into the most extreme 5% group, we need to find the critical value for the 5th percentile. The critical value corresponds to the z-score that separates the lowest 5% of the distribution from the rest.
b) To find the answer to part a we need to assume certain properties about the heights of 2-year-olds:
A. The distribution of heights is skewed - Skewness is not mentioned in the problem, so we cannot assume the distribution is skewed or not skewed based on the given information.
B. The heights are independent - The heights of 2-year-olds are independent in the sense that one child's height does not influence or depend on another child's height. This is a reasonable assumption in most cases.
C. The distribution of heights is symmetric - The given z-score doesn't tell us directly about the symmetry of the distribution, so we cannot assume the distribution is symmetric based on this information alone.
D. The number of heights is very large - The information about the size of the population is not provided, so we cannot assume that the number of heights is very large.
E. The distribution of heights is unimodal - We do not have information about the number of modes (peaks) in the height distribution. The z-score doesn't give us any insight into whether the distribution is unimodal or multimodal.
Thus, the result of the following questions will be:
a) The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.
b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.
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Is the equation true or false? 27 × 15 = (20 × 15) – (7 × 15) _____
Answer:
This equation is false.
Step-by-step explanation:
27x15=405
You're doing the distributive property here so you're supposed to add but they subtract. Since you're doing 20x15 you have to add because 27-20=7.
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The distributive property is the distributed law of multiplication over operations in fundamental algebra, such as adding and subtracting.
The expression is given below.
⇒ 27 × 15
The expression can be written as,
⇒ 27 × 15
⇒ (20 + 7) × 15
⇒ 20 × 15 + 7 × 15
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
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I am thinking of a number... 1. The number is greater than the number of pennies in quarter. 2. The number is less than the
number of pennies in five dimes. 3. The number is an odd number. 4. If you count by 5's you say the number. 5. The sum of the
digits is. 6. What is my number?
Ready? Enter your answer here.
Answer:
35?
Step-by-step explanation:
I am guessing.......
Two numbers are in the ratio 9:7 if one number is 324, what is the other number?
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 252}}}}[/tex]
Step-by-step explanation:
The ratio is 9 : 7
The first number is 324
Let's build the proportion for it.
9 : 7 = 324 : x [We've to find x]
Product of Extremes = Product of Means=> 9 * x = 324 * 7
=> 9x = 2268
Dividing both sides by 9
=> x = 252
So, The other number is 252.
The Sports Brand Company is making a new shoe that has a wholesale price of $40, and it wishes to advertise a retail price of $89.99. What is the markup percentage? Give answer to nearest whole percent. (hint: change decimal to percent, % will not be typed)
Answer:
Markup Percentage = 125%
Step-by-step explanation:
The wholesale price is $40, the "selling price" is $89.99.
90-40=50 (Profit)
Now that we know the profit , we need to find the percentage.
To find this percentage we can use the formula: (M=Markup percent)
[tex]M=profit/cost*100%[/tex]
In this situation, we can insert PROFIT= 50, Cost=40
M=50/40*100
= 1.25*100
=125%
Finda + b, 2a + 3b, |a|, and |a − b|.a = 5i + j, b = i − 2j
Answer:
Step-by-step explanation:
Given the complex notations a = 5i + j, b = i − 2j, we are to evaluate the following:
1) a + b
= 5i+j + (i-2j)
= 5i+j+i-2j
collect like terms
= 5i+i+j-2j
= 6i-j
Hence a+b = 6i-j
2) 2a+3b
= 2(5i+j) + 3(i-2j)
open the parenthesis
= 10i+2j+3i-6j
collect like terms
= 10i+3i+2j-6j
= 13i-4j
Hence 2a+3b = 13i-4j
3) |a| = √x²+y²
Given a = 5i+j; x = 5, y = 1
|a| = √5²+1²
|a| = √25+1
|a| = √26
4) |a-b|
First we need to calculate a-b
= a - b
= 5i+j - (i-2j)
open the parenthesis
= 5i+j-i+2j
collect like terms
= 5i-i+j+2j
= 4i-3j
|a-b| = √4²+(-3)²
|a-b| = √16+9
|a-b| = √25
|a-b| = 5
Why does the problem of finding the zeros (i.e. the inputs where a function assumes the value zero) receive such disproportionate attention in algebra?A. Because the problem of finding where a function f assumes the value c, i.e. solving f(x) = c, is equivalent to finding where the function f(x)-c assumes the value zero; and c = O is the only number for which f(x) = c can be solved by factoring f(x). B. It's because usually you want to know where a function crosses the x-axis. Crossing a different axis parallel to that is just not that interesting. C. It's because knowing the zeros allows you to determine the end behavior of the function, and the vertical and horizontal asymptotes. D. Because O is the lowest value (i.e. the minimum) that a function can assume. In many math applications, we need to know the minimum value of a quantity.
Answer:
The answer is C
Step-by-step explanation:
Why does the problem of finding the "zeros" (the inputs where a function assumes the value of zero OR the value inputs for which the function is equal to zero) of a function receive such disproportionate attention in ALGEBRA?
(D) is wrong because zero is not the minimum value that a function can assume. A function could assume or be equal to a negative number or term and negative figures are less than zero.
The answer is (C) because knowing the zeros of a function allows you to determine the end behaviour of the function and the vertical & horizontal asymptotes on a graph/cartesian plane.
Terry is filling spherical water balloons with a faucet that puts out 100cm^3 of water per second. At that rate, it takes Terry 6 seconds to fill a balloon.
What is the radius of a filled balloon?
Round to the nearest centimeter.
Answer:
To the nearest centimeter
Radius= 5 cm
Step-by-step explanation:
Rate of filling balloon= 100cm³/s
Time to feel the balloon= 6 s
Volume of the filed balloon
= Rate*time
= 100*6
= 600 cm³
Volume of balloon= 4/3πr³
Volume of balloon=600cm³
600= 4/3πr³
(600*3)/4π= r³
1800/4π= r³
450/π= r³
143.239 = r³
5.232= r
To the nearest centimeter
Radius= 5 cm
Answer:
5
Step-by-step explanation:
Volume:
(100)(6) = 600
Radius:
[tex]\frac{4}{3}[/tex] [tex]\pi[/tex][tex](r)^{3}[/tex] x [tex]\frac{/}{/\pi}[/tex]
[tex]\sqrt[3]{143.2}[/tex] = [tex]\sqrt[3]{r^{3} }[/tex]
= 5.2 = r
round it up = 5
SO: your answer is 5
Also I did it on khan
brainliest plz?
Solve 16x + 9 = 9y – 2x for y.
y =
the number of PI is 3.14 why do we use a special symbol for it
is the number 8.25 a rational number or an irrational number
Answer:
Rational
Step-by-step explanation:
An irrational number can't be written as a simple fraction. an irrational number will continue on forever without repeating. a rational number is any number that can be written by dividing two integers so basically any number that can be written as a fraction or decimal.
Answer:
Rational number.
Step-by-step explanation:
An irrational number is any real number that cannot be written as a simple fraction. Like square roots.
Which of the following is a rational number? (4 points)
square root 97square root 98, square root 99, square root 100
Answer:
Square root 100
Step-by-step explanation:
A rational number is a number that can be completely expressed by a fraction. In this case, 100 is the only square number so only the square root of 100 will result in a rational number (10) or (10/1). The others are not square numbers so square rooting them will result in a long line of decimal points which cannot be expressed by a fraction.
Hope this helped!
Answer:
The square root of 100 is a rational number.
Step-by-step explanation:
The square root of 100 is 10. A rational number is a number that can be made by dividing two integers (whole numbers). 10 ÷ 1 = 10. None of the other options are integers, so they are out.
What is the product of 3y
product of (3y^)(274)
3y^-4 × (2y^-4) = 6y^-8
= 6/1/y^8
= 6/y^8
.................................................
1) When x^1 multiply with x^2, 1 will add to 2 and become 3
= x^3
2) y^-1 = 1/y
3^-2 = 1/3^2 = 1/9
5^-2 = 1/5^2 = 1/25
A bus first travels west for
38 kilometers. Then it turns south and
travels for 25 kilometers. Next it goes
east for 38 kilometers. Finally, it travels
north for an unknown number of
kilometers. At the end of the journey,
the bus is back at the original location.
How far did it travel northward?
A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22 kilometers. Next it goes west for 50 kilometers. Finally, it travels south for a certain number of kilometers. At the end of its journey it is back at its original location. How many kilometers did it travel in the southward direction?
Order of operations A set of three scores consists of the values 6, 3, and 2. 1. Σ2X – 2 =______.a. 35.b. 33.c. 22.d. 6.2. Σ(2X)² =______.a. 248.b. 124.c. 61.d. 39.
Answer:
Step-by-step explanation:
Given the order of operations A set of three scores to consists of the values 6, 3, and 2, we are to evaluate the following
1) Σ2X – 2
= 2(6)+2(3)+2(2) – 2
= 12+6+4–2
= 22–2
= 20
2) Σ(2X)² = (2×6)²+(2×3)²+(2×2)²
Σ(2X)² = 12²+6²+4²
Σ(2X)² = 144+36+16
Σ(2X)² = 144+52
Σ(2X)² = 196
The results of the order of operations are: [tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]
The scores are given as:
x = 6, 3 and 2
(a) The first set of operationThis is represented as:
[tex]\sum 2x -2[/tex]
So, we have:
[tex]\sum 2x -2 = 2 \times 6 - 2 + 2 \times 3 - 2 + 2 \times 2 - 2[/tex]
Evaluate the products
[tex]\sum 2x -2 = 12 - 2 + 6 - 2 + 4- 2[/tex]
[tex]\sum 2x -2 = 16[/tex]
(a) The second set of operationThis is represented as:
[tex]\sum (2x)^2[/tex]
So, we have:
[tex]\sum (2x)^2 =(2 \times 6)^2 + (2 \times 3)^2 + (2 \times 2)^2[/tex]
Evaluate the products
[tex]\sum (2x)^2 =12^2 + 6^2 + 4^2[/tex]
Evaluate the squares
[tex]\sum (2x)^2 =144 + 36 + 16[/tex]
[tex]\sum (2x)^2 =196[/tex]
Hence, the results of the order of operations are:
[tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]
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SOMEONE HELP FAST ( it's due today )
Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. A rectangular garden plot measures 12 feet by 28.6 feet. The minimum possible area is about ft. The maximum possible area is about ft?
Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
Helpppppppppppppppppppppp
Hey there! I think the answer is -6r + 5
Answer:
[tex]-6r + 5[/tex]
Step-by-step explanation:
Combine like terms
[tex] -4r-2r+5 [/tex]
[tex](-4r + -2r) + 5 [/tex]
[tex] -6r + 5 [/tex]
You cannot combine them anymore.
GEOMETERYY!!!! PLEASE HELP HJ=5p JK=p KH=3
Answer:
P=5.4
Step-by-step explanation
H=5 times
K=3/5=0.6
K=0.6
P=0.6x3x3=1.8x3=5.4
P=5.4
what is the answer 3/4×6/8=
The product of a nonzero rational and an irrational number is always
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Step-by-step explanation:
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
1Ꮾx - 8 = 1Ꮞx +14
Solve for X
Answer:
x=11
Step-by-step explanation:
16x - 8 = 14x + 14
16x - 14x - 8 = 14x - 14x + 14
2x - 8 = 14
2x - 8 + 8 = 14 + 8
2x = 22
2x/2 = 22/2
x=11
The point (2,-4) is on the line given by which equation below?
2,-4)
A. y = -x + 3
B. y = x - 4
C. y=-2x
D. y = 2x
Answer:
C ) y = -2x
Step-by-step explanation:
(2, -4)
y = -2x
subsitute x for the value of x
y = -2(2)
-2 × 2 = -4
y = -4
so
the equation for the point (2, -4) is
y = -2x
If the number 3 were added to the set {1,1,3,3,4,4,5}, which central tendency would change? A)Mean B)Mode C)Range D)Median
Answer:
Mode
Step-by-step explanation:
I took the test and got it correct!
write the values of n such that -15< 3n ≤ 6
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
30 in.
10 in.
10 in.
30 in.
20 in.
Find the area of the arrow above.
square inches
Answer:
1200
Step-by-step explanation:
I had $3.00. My mom gave me $10.00. My dad gave me $30.00. My aunt and uncle gave me $100.00. I had another $7.00. How much did I have?
If A={1,5,9}and B={y:y=2x-1;x=1,5,9},find A×B and B×A.
Step-by-step explanation:
you can see the steps above
What is 4.26 + 1.3 ?
Answer:
5.56
Step-by-step explanation:
Answer:5 29/100
Step-by-step explanation: