Answer:
The evidence does not support the math chairperson's claim that the percentage is no longer 40%
Step-by-step explanation:
The known population percentage of research in mathematics published by US authors = 40%
The proportion, p = 0.40
Therefore, q = 1 - p = 1 - 0.4 = 0.6
The number of articles in the sample = 130
The number of articles by US authors in the sample = 62
Therefore, the proportion of US authors in the sample, [tex]\hat p[/tex] = (62/130) × 100 =
[tex]0.4\overline{769230}[/tex]
∴ The percentage of US authors in the sample ≈ 47.7%
The null hypothesis, H₀; p = 0.4
The alternative hypothesis, Hₐ; p ≠ 0.4
The z-test is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p\cdot q}{n}}}[/tex]
[tex]z=\dfrac{0.477-0.40}{\sqrt{\dfrac{0.4\times 0.6}{130}}} \approx 1.792[/tex]
The p-value P(Z > 1.79) = 2 × (1 - 0.96327) = 0.07346
Therefore, given that the p-value is larger than 0.05 there is significant evidence in favor of the null hypothesis and we reject the alternative hypothesis
Therefore, also, there is not enough statistical evidence to support the math chairperson's claim that the percentage is no longer 40%.
Divide 360 in the ratio 1:7
Answer: 45:315
Step-by-step explanation:
We paid $8 for 2 hamburgers, which is a rate of $_
per hamburger
Kevin went bowling with $25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What inequality could be used to find g, the greatest number of games Kevin could have played?
A. 4 + 5.25 ≥ 25
B. 9.25 ≤ 25
C. 4 + 5.25 ≤ 25
D. 9.25 ≥ 25
Answer:
25 greater than or equal to symbol 5.25 + 4g
Step-by-step explanation:
i put the upload so you can see!
brainliest?
The length of a rectangular garden is three feet less than twice its width.
Answer:
Width of the rectangle is 8 feet
Length of the rectangle is 13 feet
Step-by-step explanation:
Complete question -
The length of a rectangular garden is three feet less than twice its width. If the perimeter of the garden is 42 feet, what is its length?
Solution
Let the width of the rectangle be X feet
Length of the rectangle would be 2X -3 feet
Perimeter of the rectangle is 2 (length + breadth)
Substituting the given values, we get -
Perimeter = 2 (length + breadth)
[tex]42 = 2 [(2X-3) + X]\\42 = 4X - 6 + 2X\\48 = 6X\\X = 8[/tex]
Width of the rectangle is 8 feet
Length of the rectangle is [tex]2*8 -3 = 16-3 = 13[/tex] feet
**Part A**
Write and simplify an expression to represent the combined number of accessories sold.
**Part B**
Factor the simplified expression.
**Part C**
If the toy store sold 5 dozen of the latest action figure, how many accessories did the store sell? Enter your answer in the box.
______ accessories
Answer:
Turbo jetpack = 6(d + 7)
Xray vision glasses = 2d - 5
Invisible shield = 10d + 1
18d + 38 ;
128 dozen accessories
Step-by-step explanation:
Let the number of boxes sold = d
Turbo jetpack = 6(d + 7)
Xray vision glasses = 2d - 5
Invisible shield = 10d + 1
Combined number of accessories sold :
6(d + 7) + (2d - 5) + (10d + 1)
6d + 42 + 2d - 5 + 10d + 1
18d + 38
If 5 dozens are sold
d = 5
Number of accessories sold :
18(5) + 38
90 + 38 = 128 dozens accessories
someone please help!!
Answer:
x^2+9x+8
Step-by-step explanation:
Expand the following:
(x + 1) (x + 8)
(x + 1) (x + 8) = (x) (x) + (x) (8) + (1) (x) + (1) (8):
x x + 8 x + x + 8
x x = x^2:
x^2 + 8 x + x + 8
Grouping like terms, x^2 + 8 x + x + 8 = x^2 + (8 x + x) + 8:
x^2 + (8 x + x) + 8
8 x + x = 9 x:
Answer: |
| x^2 + 9 x + 8
What is the volume of this solid?
Answer:
175 in³
Step-by-step explanation:
First the area of the triangle:
S: ½a×b×SinC
½×7in×10in×Sin90°===> 35in²
and now the volume
35 in²×5 in=175 in³
What's wrong with camping in the Sahara Desert
Answer:
The northeastern winds dry out the air over the desert and drive hot winds toward the equator. These winds can reach exceptional speeds and cause severe dust storms that can drop local visibility to zero. So basically you won’t be able to do anything, you would be dieting of heat, and won’t be able to see, so that Is whats wrong with camping in the Dahara Desert.
solve the equation 6n -5 + 5n = 15 + n -4 + 8n
Answer:
if your solving for n.....
Step-by-step explanation:
n=3
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The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.
Answer:
628ft²
Step-by-step explanation:
From the diagram, we are given the following
diameter of the semicircles
2semi circles = 1 circle
Area of 2semicircles = πd²/4
Area of 2semicircles = 3.14(20)²/4
Area of 2semicircles = 3.14*400/4
Area of 2semicircles = 3.14*100
Area of 2semicircles = 314ft²
Area of the quarter circle = πd²/4 * 1/4
Area of the quarter circle = πd²/16
d = 2r
d = 2*20
d = 40ft
Area of the quarter circle = 3.14(40)²/16
Area of the quarter circle = 3.14*1600/16
Area of the quarter circle = 3.14*100
Area of the quarter circle = 314ft²
Area of the fountain = 314ft²+314ft²
Area of the fountain = 628ft²
seven people sit in a circle.How many ways can this be done if two people A and B sit together
Step-by-step explanation:
Suppose the persons are a, b, c, d, e, f and g.
Let us also assume that a and b always sit together.
Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).
So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240
A spherical boulder is 20 feet in diameter and weight almost 8 tons.Find its volume.Use 3.14 for T round to the nearest whole number.
Answer:
4187 ft³
Step-by-step explanation:
[tex]\frac{4}{3}[/tex]πr³
π = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
Radius = 20 / 2 = 10 feet
(4/3) x 3.14 x 10³ = 4187 ft³
Which equation would demonstrate the identity property? A. (3 • 4) + (3 • 5) = 3(4 + 5) B. 3 • 5 = 5 • 3 C. 3 • 4 • 5 = (3• 4) • 5 D. 4 • 1 = 4
Answer:
D. 4 • 1 = 4
Step-by-step explanation:
In Mathematics, we have two kinds of Identity property
a) Identity property of Addition
This means that when you add a number to zero, it gives you that same number
Example: 6 + 0 = 6
b) Identity property of Multiplication,
This means that, when a number is multiplied by 1, it gives that same number.
Example: 8 × 1 = 8
Therefore, from the above question, the equation that demonstrates identity property is 4 • 1 = 4
Option D is the correct answe
Danna deposited $850 in with an rate of 2.9% . find the amount of interest earned and the value of the account after 5 years
Answer:
In 5 years, Danna have $980.61
Step-by-step explanation:
what is the mass of an object that has a volume of 34 cm^4 and a densityof 6 g/cm^3?
Answer:
Mass = density * volume
Mass = 6 g/cm^3 / 34 cm^3
Mass = 0.1764705882 grams
Step-by-step explanation:
Answer:
204 g
Step-by-step explanation:
*I thinks you have made a mistake with the unit of the volume*
Density = mass / volume
density = 6 g/cm³volume = 34 cm³Mass = volume * density
mass = 6 * 34
mass =204 g
What percent of 513 is 248
Answer:
48.34%
Step-by-step explanation:
Answer:
48%
Step-by-step explanation:
248/513 is .483430799, so rounded is 48%
Help me please someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I'm pretty sure its J
Step-by-step explanation:
try it on desmos just to be sure
PLEASE HELP AND EXPLAIN THIS
Answer:
y=mx+b
Step-by-step explanation:
m is your slope, b is the y intercept. Y axis=slope x+y intercept
Find the product of (2a+b)^2
Answer:
(2a+b)^2
4a^2 + 4ab + b^2
product=4
Answer:
4a²+b²+4abStep-by-step explanation:(2a+b)²=(2a)²+(b)²+2×2a×b(a+b)²=a²+b²+2abanswer:- 4a²+b²+4abYou hike 210 meters up a steep hill that has a 31 degree angle of elevation as shown in the diagram.
Give each side and angle measure rounded to the nearest whole number
Answer:
Step-by-step explanation:
A—>108m
B—>180m
M<B—> 59°
The side BC and AC and the angle B is 108 m,180 m and 59°.
What is the triangle?A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
[tex]\rm sin \theta = \frac{P}{H} \\\\ \rm sin 31^0= \frac{a}{210} \\\\ a=108 \ m[/tex]
[tex]\rm cos \theta = \frac{B}{H} \\\\ \rm cos 31^0 = \frac{b}{210} \\\\ b=180 \ m[/tex]
The measure of the angle of triangle is 180°
∠A+∠B+∠C=180°
31°+∠B+90°=180°
∠B=59°
Hence, the side BC and AC and the angle B is 108 m,180 m and 59°.
Learn more about the triangle, refer:
https://brainly.com/question/25813512
#SPJ2
what percent of 12 is 3.3?
Answer:
27.5%
Step-by-step explanation:
Hi!
To do this problem, we have to set up a percent proportion:
[tex]\frac{3.3\\}{x}[/tex] = [tex]\frac{12}{100}[/tex]
In this problem, the denominators are the percent values and the numerators are the numerical value.
x = [tex]\frac{3.3*100}{12}[/tex]
x = [tex]\frac{330}{12}[/tex]
x = 27.5%
Hope this helped.
(a) Although neither a linear nor an exponential function would model this data perfectly, justify why an
exponential function would be a much better fit. Specifically, explain both why a linear function would not
be a good fit while an exponential would be reasonable.?
Answer:
hello the table related to this question is missing attached below is the missing table
answer : An exponential function is much better fit because there is no fixed rate in the table
Step-by-step explanation:
An exponential function is much better fit because there is no fixed rate in the table attached but the values in the table keeps increasing exponentially, hence an Exponential function will be a better fit, But a linear function would be preferred only if there is a fixed rate
2x+1.25=3.5 find the value of x
Answer:
x=1.125
Step-by-step explanation:
Isolate the variable by evalaluting
Answer:
1.125
Step-by-step explanation:
subtract 1.25
2x = 2.25
divide by 2
x = 1.125
What is the y-intercept of this line?
12, 8, 4, 0
Step-by-step explanation:
Thank Me. Super.
Georgia adds two proper fractions and gets 8/7 as an answer
Work out
the two fractions.
Answer:
1/2 and 9/14
Step-by-step explanation:
Let the first fraction be 1/2
Let the second fraction be x
1/2 + x= 8/7
x= 8/7-1/3
= 16-7/14
= 9/14
Hence the two numbers are 1/2 and 9/14
What is -4/5 + 4/5 = ?
Answer:
0.
Step-by-step explanation:
I can't really explain it, but think of it is 4/5 - 4/5 instead of -4/5 + 4/5.
hello do know how sovle surface area
Answer:
if I know then I will tell
Factor by grouping plss help
Answer:
(5 x + 7)(x^2 + 3)
find the value of x
Answer: -23
Step-by-step explanation:
