Answer:
Result is significant ; hence we can conclude that the average age of male is greater than that of females.
Step-by-step explanation:
Given that:
Let :
u1 = mean age of male
u2 = mean age of female
Null hypothesis : H0 : u1 = u2
Alternative hypothesis : H1 : u1 > u2
P value for hypothesis test conducted = 0.0095
Using a significant level α 0.05 or 0.01, :
The P value < α
Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.
A rectangular ink pad is 10 centimeters wide and 7 centimeters tall. What is its area?
square centimeters
Answer:
70cm
Step-by-step explanation:
10 times 7 = 70
Help me please guys I really need it
Answer:
You have a standard deck of 52 cards You have 4 jacks in the standard card Hence 4/52Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
Answer:
y = -20x + 300
Step-by-step explanation:
y is total amount of money left (because this is the answer we are trying to find.)
x is the amount of times she goes to the ATM (because this is our unknown variable.)
-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.
Assume that X is Normal with mean $ 240 and standard deviation $60 . the probability that , in a randomly selected week , Dan will make less than $ 255
Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Here,
x = 255
Putting the values
[tex]z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%
Which point is a solution to the linear inequality below:
y - 3x< 1
A (0,0)
B (0, 3)
C (-2, 1)
D (-10, 0)
Answer:
A (0,0)
Step-by-step explanation:
y - 3x < 1
0 - 3(0) < 1
0 < 1
1. Simplify: (Combining Like Terms)
9n - 12 - 150 + 15 + 10n
the process of systematic arrangement of data and column is called
Answer:
“A systematic arrangement” of data in rows and columns is called Table.
Explanation: A table is used to arrange data in rows and columns
A regular 12-gon has side length 8 inches. What is its area?
Answer:
RELATED
How to Solve a Hexagon
Updated October 23, 2018
By Chris Deziel
A polygon is any closed two-dimensional figure with 3 or more straight (not curved) sides, and a 12-sided polygon is known as a dodecagon. A regular dodecagon is one with equal sides and angles, and it's possible to derive a formula for calculating its area. An irregular dodecagon has sides of different lengths and different angles. A six-pointed star is an example. There's no easy way to calculate the area of an irregular 12-sided figure unless you happen to have it plotted on a graph and can read the coordinates of each of the vertices. If not, the best strategy is to divide the figure into regular shapes for which you can calculate the area.
Calculating the Area of a Regular 12-Sided Polygon
To calculate the area of a regular dodecagon, you have to find its center, and the best way to do that is to scribe a circle around it that just touches each of its vertices. The center of the circle is the center of the dodecagon, and the distance from the center of the figure to each of its vertices is simply the radius of the circle (r). Each of the 12 sides of the figure is the same length, so denote this by s.
You need one more measurement, and that's the length of a perpendicular line drawn from the midpoint of each side to the center of the 12-sided shape. This line is known as the apothem. Denote its length by m. It divides each section formed by the radius lines into two right-angled triangles. You don't know m, but you can find it using the Pythagorean theorem.
The 12 radius lines divide the circle you scribed around the dodecagon into 12 equal sections, so at the center of the figure, the angle each line makes with the one next to it is 30 degrees. Each of the 12 sections formed by the radius lines is made up of a pair of right-angled triangles with hypotenuse r and one angle of 15 degrees. The side adjacent to the angle is m, so you can find it using r and the sine of the angle.
Step-by-step explanation:
The area of the polygon is 344.18 square inches.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
A regular 12-gon has a side length of 8 inches.
Apothem of the polygon,
a = {8/2(tan180/8)}
a = 8/2tan22.5
a = 7.17 inches.
The area of the polygon,
= 12 x 8 x 7.17 / 2
= 344.18 square inches.
Therefore, the area is 344.18 square inches.
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What is the volume of the cylinder. its 15 units high and a radius of 11.
Answer:
V = 1815 pi units ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 11)^2 * 15
V = 1815 pi
Question Help X 3.8.IP-5 Draw a bar diagram to model the situation. Then write and solve an equation. A grocery store ordered 10 crates of tomatoes from a supplier. Each crate contains 195 tomatoes. How many tomatoes did the store order? ? tomatoes ? D. 195 195 195 195 195 195 195 195 195 195 10 crates 195 tomatoes in each crate Let x be the number of tomatoes the store ordered. The equation represents this situation. (Use the operation symbols in the math palette as needed. Do not perform the calculation.) More.
brian lest and points if you get it right and if you do i will mark you as a brian lest
Answer:
i think its d. well thats the only answer on there
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!
What is a control group?
:((((((((((((((((((((((((((((
What is a control group?
A group that changes the variable
The group that applies the variable
The group that tests the variable
A test group where the variable is not changed or applied
Answer:
A scientific control is an experiment or observation designed to minimize the effects of variables other than the independent variable. This increases the reliability of the results, often through a comparison between control measurements and the other measurements.
Meg has a new bookcase for her bedroom with 6 shelves. Each shelf holds 8 books. If Meg has 50 books, how many books will not fit on the bookcase? OK 5MathTeaching Resources com D
Answer:
2 books
Step-by-step explanation:
8 x 6 = 48
Heidi is purchasing a frozen yogurt dessert. She must select a flavor, a type of sauce, and a topping from options in
the table.
Frozen Yogurt Dessert Options
Sauce
Pineapple
Blueberry
Strawberry
Topping
Cherry
Rainbow Sprinkles
Chocolate Sprinkles
Nuts
Flavor
Vanilla
Chocolate
How many different combinations are possible?
Answer:
288 combinations.
Step-by-step explanation:
Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.
Hope this helped!
Answer:
24
Step-by-step explanation:
Your payment is $375 per month for 36 months and you made a $2,500 a down payment
Answer:
$16,000?
Step-by-step explanation:
375 times 36 is 13500
Add 2500
and you have 1600
thats my guess
Triangles ABC and DEF are shown below. Angle A measures 51°, angle Fmeasures
39°, and x = 6.
7.5
10
Is ABC is similar to DEF?
Answer:
Yes
Step-by-step explanation:
yes
They both have interior angles of 90-51-39, which automatically makes them similar. You could also see the dilation factor of .75 based on the 2 sides of a right angle to prove it.
ΔABC and ΔDEF are similar by AA Similarity Theorem.
Given in the question,
In ΔABC,
m∠A = 51°AB = 8 unitsBC = 10 unitsIn ΔDEF,
m∠F = 39°EF = 7.5 unitsTo prove these right triangles similar, we can use AA-Similarity Theorem,
By applying triangle sum theorem in ΔDEF,
m∠D + m∠E + m∠F = 180°
m∠D + 90° + 39° = 180°
m∠D = 51°
Hence, ∠D ≅ ∠A and ∠E ≅ ∠B
Therefore, ΔABC ~ ΔDEF [By AA Similarity Theorem]
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For each problem, identify any important quantities. If it's a known quantity, write the
number and a short description of what it represents. If it's an unknown quantity, assign a variable to represent it and write a short description of what that variable represents.
Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.
Answer:
We have the problem:
"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each."
In this situation we have two variables:
X = number of snacks for herself and her friends that she buys. Each one of these costs $3.50
Y = number of snacks for her dog that she buys. Each one of these costs $9.
The total cost, in this case, can be written as:
X*$3.50 + Y*$9
And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:
X*$3.50 + Y*$9 ≤ $35
Where we defined all the quantities in the inequality.
6) Which expressions are equivalent? Choose ALL that apply.
28
74
1) 7 to the fourth power
) 4 to the seventh power
7.7.7.7
The expressions "7^4", "7 to the fourth power", and "7*7*7*7"are the expressions that are equivalent.
We are given five mathematical expressions.The first expression is "28".The second expression is "7^4", which is equal to 2401.The third expression is "7 to the fourth power", which is equal to 2401.The fourth expression is "4 to the seventh power" which is equal to 16384.The fifth expression is "7*7*7*7", which is equal to 2401.Compare the values of all the expressions above.We can conclude that the second, the third, and the fifth expressions are equivalent as they have equal values.To learn more about expressions, visit :
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A straight line passes through A (-2, 0) and B (2,-k). The line is
perpendicular to a line 34+2x=5 Determine the value of K.
Answer:
-6Step-by-step explanation:
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6
( can anyone please help i suck at graphing )
Graph the line that represents the equation y = -x + 1.
I NEED IT EXTREMELY FAST!!!!
Fill in the blank with the correct response.
What is the scale factor?
Answer:
x = 11 | Scale factor = 2
Step-by-step explanation:
As you can see, the 3 turns into a six meaning it multiplied by 2. Apply this to 5.5 to get 11. The 2 is your scale factor.
Hope this helps,
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Happy Holidays to everyone!
Before Buddy the Elf goes crazy pushing all of the buttons on the elevator, only 4 buttons are lit up out of 79 floors. About what percent is this?
Can anyone help a girl out?
Answer:
5%
Step-by-step explanation:
DIvide 4 by 79
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle?
Answer:
∠ACB is a right angle
Graph:
Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!
Answer:
62 32/39%
Step-by-step explanation:
[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%
The percentage of Mrs. Rogers crafts sold is 62.82%.
Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Percent of crafts sold =Number of crafts sold/Total number of crafts ×100
= 49/78 ×100
= 0.6282×100
= 62.82%
Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.
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find the value of x
76degrees and 49degrees
Answer:
Step-by-step explanation:
Judging by the context, you are looking for the angle x of a triangle, where the other two angles are 76 and 49. The sum of a triangle's angles is always 180, so
76 + 49 + x = 180
125 + x = 180
x = 55
Which equations are equivalent to −4(3d−2)−7minus, 4, left parenthesis, 3, d, minus, 2, right parenthesis, minus, 7 ?
A) −12d−15
B)12d−15
C)None of the above
Please help me !!!
Answer:
She/He is right it's C. Tysm!
The correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
How to determine the equivalentTo simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:
−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7
This gives us:
-12d + 8 - 7
Combining like terms:
-12d + 1
So the expression is equivalent to -12d + 1.
Therefore, the correct answer is:
A) −12d−15 (None of the options provided are equivalent to the given expression.)
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mjkjnkj nkbjhbjhbhjbjh?
Answer:
huh?
Step-by-step explanation:
Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answer:
The values are a=6, b=8
Step-by-step explanation:
The following system of equations
ax - by = 4
bx - ay = 10
Has the solution x=2, y=1. Substituting:
2a - b = 4 [1]
2b - a = 10 [2]
Multiply [1] by 2:
4a - 2b = 8
Add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [1]:
2*6 - b = 4
b = 12 - 4
b = 8
The values are a=6, b=8
help meeeeee please
What is the y-intercept of the following equation? y= 2x - 3
Answer:
-3
Step-by-step explanation:
y= mx + b
b is the y intercept
EASYYYYY!!! PLSSSS ANSWER
Answer:
hope this works
Step-by-step explanation:
c