We are testing the claim that males speak fewer words than females. With a p-value of 0.369, which is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, no significant evidence supports the claim that males speak fewer words than females.
Explanation:The objective here is to test the claim that on average, males speak fewer words in a day than females. To do this, we compare two means using a hypothesis test for paired data.
The null hypothesis (H0) is that there is no difference between the mean number of words spoken by males and females. The alternative hypothesis (Ha) is that the mean number of words spoken by males is less than that spoken by females.
Since the p-value (0.369) is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means we do not have significant evidence to support the claim that males speak fewer words than females.
A key takeaway from this is that the test statistic and p-value are critical elements in hypothesis testing. They determine whether or not you have significant evidence to reject the null hypothesis.
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Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Write an equation to represent the total amount Gwen will owe her parents. What is the total amount of money Gwen will owe her parents?
Answer:
$309
Step-by-step explanation:
Use the formula for simple interest: [tex]A = P(1+rt)[/tex]
A represents total amount, unknown in this case.
P represents principal, or starting amount, 300 in this case.
r represents the interest rate in decimal form, 3% in this case, or 0.03.
t represents time, usually in years, 1 in this case.
[tex]A = P(1+rt)[/tex]
[tex]A = 300(1+(0.03)(1))[/tex]
[tex]A = 300(1.03)[/tex]
[tex]A = 309[/tex]
Gwen will owe $309.
BIG IDEAS MATH
Writing Expressions > Section Exercises 3.2 > Exercise 27
Write the phrase as an expression. Then evaluate when y = 20.
3 less than the quotient of a number y and 4
Expression:
When y=20, the value of the expression is
Basic
Write the phrase an expression. The evaluate when y=20
3 less than the quotient of a number y and 4.
Answer:
The required expression is [tex]\frac{y}{4}-3[/tex].
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]
Now 3 less than the quotient of a number y and 4 can be written as:
[tex]\frac{y}{4}-3[/tex]
Hence, the required expression is [tex]\frac{y}{4}-3[/tex].
Now evaluate when y=20.
Substitute y=20 in above expression.
[tex]\frac{20}{4}-3[/tex]
[tex]5-3[/tex]
[tex]2[/tex]
Hence, the value of the expression when y=20 is 2.
Square root of 3.14
Answer:
Step-by-step explanation:
1.772
On Monday, Harold picked up five donuts and two large coffees for the office staff. He paid $ 5.08. On Tuesday, Melinda picked up two donuts and three large coffees for the office staff. She paid $ 4.10 What is the cost of one donut? What is the cost of one large coffee?
Answer:
x=0.64
y=0.94
Step-by-step explanation:
x price of one donut
y price of one large coffee
To determine x and y you have to solve this system:
5x+2y=5.08
2x+3y=4.10.
:)
Find the square root of (3√5-3)³
Answer: 76.36753237
Step-by-step explanation:
If you have trouble, you can always use Desmos Scientific calculator and get your answer straight away.
Jeanne is helping her dad with his
stueco business for the summer. Since Jeanne
has studied surface area in school, she does
some estimates for her dad's business,
For the garage at the right, they plan to stucco
the walls. They will not stucco the roof, car door,
side door, or window. The car door measures
5 m by 2.3 m, the side door measures 2.1 m by
0.9 m, and the window measures I m by 0.7 m.
Determine the surface area to be covered with stucco to the nearest square metre,
The surface area to be covered with stucco is 25.91 square metres.
Explanation:To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.
Wall 1: 5 m * 2 m = 10 m²
Wall 2: 5 m * 2 m = 10 m²
Wall 3: 5 m * 2 m = 10 m²
Wall 4: 5 m * 2 m = 10 m²
Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²
Area of car door: 5 m * 2.3 m = 11.5 m²
Area of side door: 2.1 m * 0.9 m = 1.89 m²
Area of window: 1 m * 0.7 m = 0.7 m²
Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).
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HELP!! ILL MARK BRANLIEST!!
Determine the approximate ordered pair for f(x) = g(x).
the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
(−3, 9)
(−3, 8)
(3, −19)
(3, −8)
Answer:
3, -19 is the answer
Step-by-step explanation:
solved it
Answer:
Its D
Step-by-step explanation:
look above
please help me on this question
Answer:
The correct one is the first one
Doe the math equation y=6x -4 have a negative slope
Answer:
yes it does have a negative slope
Step-by-step explanation:
Final answer:
The equation y=6x - 4 does not have a negative slope; instead, it has a positive slope because the coefficient of x is positive, indicating that y increases as x increases.
Explanation:
The math equation given is y=6x - 4. To determine whether it has a negative slope or not, we look at the coefficient of x, which in this case is 6. A negative slope indicates that as x increases, y decreases, and vice versa. However, since the coefficient of x here is positive (6), this line has a positive slope, not a negative one. Therefore, it means that as x increases, y also increases, which is characteristic of a positive relationship between x and y.
It is important to note that a line with a negative slope would have a negative coefficient of x. The slope is the number that is multiplying the x variable, and it represents the rate of change of y with respect to x. Graphically, a line with a positive slope, such as this one, will rise as it moves from left to right on a graph.
9.6.6. The pawn shop business model. On April 9, 2011 The New York Times reported on a pawn shop that opened in an ex-Blockbuster store: The borrowers are given 60 days to pay back the loan, and La Familia charges a 20 percent interest rate per month. (So for a $100 loan, the borrower would need to pay back $140 after 60 days.) a. Explain why 20% interest per month on a $100 loan for two months would actually require repayment of a little more than $140. b. What is the annual interest rate when this business lends money?
there are about 9 billion devices(9×10 to the ninth power) connected to the Internet. If a wireless router can support 300 devices how many wireless routers are necessary to connect oh 9 billion devices wirelessly? Write in scientific notation.
3*10^7 routers will be needed for 9 billion devices
Step-by-step explanation:
Given
[tex]Total Devices = 9\ billion = 9*10^9\ devices\\[/tex]
1 router supports 300 devices
So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers
So,
[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]
Hence,
3*10^7 routers will be needed for 9 billion devices
Keywords: Routers, devices
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A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b
Answer:
[tex]m\angle B=34\°[/tex]
Step-by-step explanation:
Given measures of 2 angles of a triangle :
m∠A = 69°
m∠C = 79°
Find m∠B.
We know that sum of angles of a triangle =180°
So, we have
[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]
Substituting the vales of m∠A = 69° and m∠C = 79°
[tex]69\°+m\angle B+77\°=180\°[/tex]
Adding like terms.
[tex]m\angle B+146\°=180\°[/tex]
Subtracting both sides by 146°.
[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]
∴ [tex]m\angle B=34\°[/tex] (Answer)
Help A.S.A.P please thank you and please :D
Answer:
Emma was right to say that both packages are close to 2 pounds.
If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:
2.36 - 2.0 = 0.36
2.09 - 2.0 = 0.09
The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.
Question 7 of 25
2 Points
Give the slope of y- 3 = 4(x+8) and a point on the line.
O
A. The slope is 4 and (-8,3) is on the line.
O
B. The slope is 4 and (8, -3) is on the line.
O
C. The slope is 3 and (-8, 4) is on the line.
O
D. The slope is 8 and (3, 4) is on the line.
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 4(x + 8) ← is in point- slope form
with slope m = 4 and (a, b) = (- 8, 3) → A
Find the x- and y-intercepts for the linear equation.
– 3x + 5y = 15
Answer:
x-intercept: (-5,0)
y-intercept: (0,3)
Step-by-step explanation:
y-intercept: when x = 0
-3(0) + 5y = 15
5y = 15
y = 3
x-intercept: when y = 0
-3x + 5(0) = 15
-3x = 15
x = -5
Answer:
Step-by-step explanation:
To find the x-intercept of – 3x + 5y = 15, let y = 0 and solve the remaining equation for x: – 3x + 5(0) = 15
Then -3x = 15, and x = -5. Thus, the x-intercept is (-5, 0).
to find the y-intercept of – 3x + 5y = 15, set x = 0 and solve the remaining equation for y: 5y = 15, so that y = 3. The y-intercept is (0, 3).
27 points!! will mark brainliest ! thanks guys
Answer:
5417.412, 401.103
Step-by-step explanation:
In the first part we are given the following mathematical operation:
[tex]5 \times 10^{3} + 4 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0} + 4 \times \frac{1}{10^{1} } + 1 \times \frac{1}{10^{2} } + 2 \times \frac{1}{10^{3} }[/tex]
= 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002
= 5417.412 (Answer)
In the second part we are given the following mathematical operation:
[tex]4 \times 10^{2} + 1 \times 1\frac{1}{10^{1} } + 3 \times \frac{1}{10^{3} }[/tex]
= 400 + 1.1 + 0.003
= 401.103 (Answer)
Mindy is saving money she started with $0 after six weeks she had $90 saved mindy is not sure exactly how much money she saved each week she assumes that she saved money at a constant rate from when she started saving money through week 6 what is the proportional relationship
The amount saved per week is $15 assuming a constant saving rate per week.
Initial amount = $0Final amount = $90Number of week, n = 6Assume she has saved at a constant rate ;
The amount saved per week will be : (Final amount - initial amount) / number of weeks ($90 - $0) ÷ 6$90 ÷ 6 = $15The amount saved per week is $15
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Final answer:
Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.
Explanation:
Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.
Mindy's weekly saving rate would be:
Calculate the total amount saved: $90.
Divide the total amount by the number of weeks: $90 ÷ 6 weeks.
The result is $15 per week.
Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.
prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1
Step-by-step explanation:
sin(x−y) / (cos x sin y)
Use angle sum/difference formula:
(sin x cos y − sin y cos x) / (cos x sin y)
Divide:
(sin x cos y) / (cos x sin y) − 1
Rearrange:
(sin x / cos x) (cos y / sin y) − 1
Simplify:
tan x cot y − 1
help me quick plz and thx
Answer:
As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term
Hence the 100th term is 11+ 99(11)= 1100
Reduce each fraction:
144 over 168
144/168
reduce the fraction by dividing by 4
144/4= 36
168/4= 42
36/42 - reduce by dividing by 6
36/6= 6
42/6= 7
answer:
6/7
Lkm is equilateral. Solve for x if angle k=9x+24
Answer:
x = 4
Step-by-step explanation:
Given that the triangle is equilateral then the measure of each angle is 60°
Equate 9x + 24 to 60 and solve for x
9x + 24 = 60 ( subtract 24 from each side )
9x = 36 ( divide both sides by 9 )
x = 4
michael mixes 60 ounces of red paint with 15 ounces of blue paint to get a shade of purple.what is the ratio of red paint to blue paint expressed in lowest terms?
Answer: 4:1
Step-by-step explanation:
Red paint = 60 ounces
Blue paint = 15 ounces
Ratio = 60/15 = 4/1 = 4:1 to the lowest term.
change 5.25 to mixed number
Answer:
Step-by-step explanation:
5 1/4 or 525
Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.
help please !
Answer:
The answer in the attached figure
Step-by-step explanation:
we know that
The solution of a system of linear equations is the intersection point both graphs.
If both graphs has one intersection point , then the system has only one solution
If both graphs have no intersection point, (parallel lines) then the system has no solution.
If both graphs are equal, (identical lines) then the system has infinitely solutions.
The answer in the attached figure
Alexa Alexa brought 32 apples for $4.16 at the rate what 1 Apple cost
Answer:0.13
Step-by-step explanation:i think
The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Alexa brought 32 apples for $4.16.
Then the cost of each apple rate will be given as,
Rate = $4.16 / 32
Rate = $0.13 for each apple
The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.
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Jonah plants flower in garden. He plants 2 flowers in each row and 5 rows. DrAw an array to figure out how many flowers he has planted
point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
what’s the x coordinate of point p?
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so
[tex]AP=\frac{2}{3} AB[/tex]
and
[tex]AP_x=\frac{2}{3} AB_x[/tex]
where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates
[tex]AB_x=8-2=6\ units[/tex]
[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]
The x-coordinate of P is equal to
[tex]P_x=A_x+AP_x[/tex]
where
A_x represent the x-coordinate of A
substitute the values
[tex]P_x=2+4=6[/tex]
therefore
The x-coordinate of point P is 6
PLEASE HELP QUICKLY!!!!
13. Find the slope of each linear function.
The slope of Graph A is
The slope of Graph B is
The slope of Graph C is
The slope of Graph D is
Answer:
A= -4
B= 4
C= 1/4
D= -1/4
Step-by-step explanation:
I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.
What is the solution to the equation
2/3x+1/6=1
Answer:
x = 5/4
Step-by-step explanation:
We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.
[tex]\frac{2}{3}x + \frac{1}{6} = 1[/tex]
[tex]\frac{4}{6}x + \frac{1}{6} = 1[/tex] Give the fractions common denominators
[tex]\frac{4}{6}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}[/tex] Subtract 1/6 from both sides
[tex]\frac{4}{6}x = 1 - \frac{1}{6}[/tex] 1/6 is cancelled out on the left side
[tex]\frac{4}{6}x = \frac{5}{6}[/tex] Simplify the right side
[tex]\frac{\frac{4}{6}x}{4/6} = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6
[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex] Dividing is like multiplying by the flipped second fraction on both sides
[tex]\frac{24}{24}x = \frac{30}{24} [/tex] Simplify. 24/24 = 1 and reduce 30/24
[tex]x = \frac{5}{4} [/tex] Final answer
the local pet store receives a shipment of tropical fish 75% of the tropical fish were clownfish if the shipment includes 60 clownfish how many total tropical fish were in the shipment
Answer:
105
Tropical fish:75%
60 clownfish included in shipment
Step 1 :Multiply 75%×60
Step 2:Simplify 60×75÷100=6×75/10=450/10=45
Step 3:Add 60+45=105