Considering the situation described, the p-value for Amy's result is of 0.0203.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than $50,000, that is:
[tex]H_0: \mu \leq 50000[/tex]
At the alternative hypotheses, it is tested if the mean is greater, hence:
[tex]H_1: \mu > \leq 50000[/tex]
We are testing if the mean is greater than a value, hence we have a right-tailed test. Using a right-tailed test with t = 2.06 and 200 - 1 = 199 df, the p-value is of 0.0203.
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slide 1) Write an equation in point slope form that passes through the point (1,8) & slope of -3 y-y,=m(x-x₁) 2) Write the equation in slope intercept form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]
How are similar triangles related to each other?
Answer:
The corresponding angles are congruent. The corresponding sides all have the same ratio.
Step-by-step explanation:
Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.
The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.
Invest $8000 into an account earning 7% interest compounded continuously what will the balance be after 5 years
Select the correct answer.
Ron coaches a baseball team. There are three innings left the game, and the team is losing by four runs. Ron is trying to decide whether to
replace the pitcher or keep the pitcher in for another inning. In the past, when losing by four runs, he nas replaced the pitcher total of 14 times
and kept the pitcher in a total of 10 times. The table shows the results of those decisions at the end of nine innings.
Replaced pitcher
Kept pitcher
Won game
8
4
Lost game
5
Tied game
2
Total
14
10
Based on the information in the table, if the goal is to win the game in nine innings, should Ron replace the pitcher or keep the pitcher in?
O A. Ron replacing or not replacing the pitcher has no advantage.
O B, Ron should replace the pitcher with a relief pitcher.
O c. There is not enough information to determine if Ron should replace the pitcher or not.
Using proportions, it is found that the correct option is given by:
B Ron should replace the pitcher with a relief pitcher.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, when Ron replaced the pitcher, the team won 8 out of 14 games, hence the proportion of wins is:
pR = 8/14 = 0.5714.
When Ron kept the pitcher, the team won 4 out of 10 games, hence the proportion of wins is:
pK = 4/10 = 0.4.
Since pR > pK, option B is correct.
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Principal Howard ordered 116 shirts from the Brand Blast custom clothing shop for his
staff members to wear during the school's spirit week. Since this was a bulk order, Brand
Blast reduced the price of each shirt by $5. Principal Howard paid $928 in all. How much does
Brand Blast normally charge for a shirt?
The Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let's suppose the normally Blast charge $x for each shirt
So according to the problem:
116(x-5) = 928
x = $13
Thus, the Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.
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Can anyone give me the awnser to this?
Answer:
310.5 mg
Step-by-step explanation:
The amount per pound would be
156 mg / 104 lb then multiply this by the pounds of the second pt
156 mg /104 pound * 207 pound = ~ 310.5 mg
Find the ratio:
156mm / 104lbs = 1.5mm per pound
207mm /1.5mm per lb = 138 pounds
answer: 138 pounds
Ted enters the elevator next to his office on the 10th floor. He goes up 6 floors for a meeting. After the meeting, he goes down 13 floors
to the parking garage to get something out of his car.
Which integer represents the number of floors and direction that Ted needs to travel to get back to his office?
-7
-3
+3
+7
+10
+13
Answer:
D +7
Step-by-step explanation:
Because he is first on the 10th floor, he goes up 6 to the 16th floor, he then goes down to the 3rd floor to get something. he needs to go up +7 floors to get to his office...
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour. How long is a job for which the two companies' costs are the same?
The time for the job for which the two company are the same is 16
How to form the equation and find the cost?
A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,
using linear equation,
y = mx + c
where
y = total costx = timeTherefore,
y = 345 + 16.25x
Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,
y = 213 + 24.50x
Hence, the time when both cost are the same is as follows;
213 + 24.50x = 345 + 16.25x
213 - 345 = 16.25x - 24.50x
-132 = -8.25x
x = 132 / 8.25
x = 16
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590 5. Explain how you would simplify 336
Answer:
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression or be more specific on question. even in radical expression Nothing further can be done with this topic.
336
Students have been assigned to read a book that is 150 pages. Every student reads at a different speed. If a student read the book in 5 days, on average, how many pages did they read every day? (I just found the answer. 150 ÷ 5 = 30. 30 is the answer)
Answer:
30
Step-by-step explanation:
You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.
The student read 30 pages in one day.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Pages in a book = 150 pages
Number of days book completed= 5 days
so, each day the student read
= 150/ 5
= 30 pages
Hence, the average rate is 30 pages in one day.
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A naval engineer uses the function, P. to analyze the effects of water pressure on submarines. The
function P(d) measures the pressure exerted by water, where d represents the depth of water in
meters. Which of the following would be a possible domain?
Answer:
The domain of a function is the possible input values, the function can take.
The possible domain is:
The domain of the function is the set of possible values of d.
Because d represents the depth of water,
The starting value can take any value, less than 0
But the end value must be 0 (i.e. the surface of water)
This means that, the domain of the function will be from negative infinity to 0
Hence, the domain is (-infinity, 0}
Step-by-step explanation:
4. Find the measures of the acute angles of a right triangle whose legs are 9 cm and 16 cm long.
Answer:
Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.
Solve for the missing angle measure
Answer choices
50
120
70
60
Answer:
70 degrees
Step-by-step explanation:
120 + angle V = 180 V = 60
60 + 50 + ? = 180
? = 70
can anyone help me with this? no links
Answer:
10/17
Step-by-step explanation:
Each card has two parts. A top part and bottom part. On the top parts of all the cards, there's a simple pattern of adding 2 to the previous number each time. On the bottoms of the cards, you have to add 3 to a number to get to the next number in line. Therefore, take the 4th card (8 on top 14 on bottom) and add a 2 to the top number and a 3 to the bottom number to get the next card in the pattern.
8 + 2 = 10
--- ---
14 + 3 = 17
So card 5 is
10 / 17
Sam is ordering shirts online. The shipping is a flat rate of $5.99, and each shirts costs $12.50. He spent $80.99 in total. How many shirts did he order
Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.
What equation represents Sam's situation?5.99 + x12.50 = 80.99
x represents the number of t-shirts she bough, which is the focus of the equation.
Let's solve it:
5.99 + x12.50 = 80.99x12.50 = 80.99 - 5.99x12.50 = 75x = 75 / 12.50x = 6How many t-shirts did Sam order?Sam ordered 6 t-shirts.
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PLEASE HELP I NEED THIS ASAP w/ explanation if you can
(will give brainliest)
Tori received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. If Tori purchases 1 pack of paper. How many notebooks is Tori able to purchase?
Answer:
5
Step-by-step explanation:
After buying the Paper Tori is left with $15.
Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.
Answer:
5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.
Step-by-step explanation:
what adds to make 16 but multiplies to make 63
Answer:
9 and 7
Step-by-step explanation:
[tex]9+7=16[/tex]
[tex]9*7=63[/tex]
HELP MEEEEEE Three Dimensions
Question 1 of 9
Which of the following statements are true about the figure above?
Check all that apply.
E A. It is a three-dimensional object.
E
B. It is a point.
0 C. It has three measurements.
Solve the equation:
4(x-2)=3x-6
Answer:
The answer is X =2
Step-by-step explanation:
Find the area of each shaded region.
Please Helppppppppppp
Step-by-step explanation:
[tex](6 + 5 + 5) \times 7 = 112[/tex]
Please help me. This is the 30°-60°-90° Triangle Theorem.
Answer:
Tan30° = 4/y
Tan30° = 1/root3
Therefore 4/y = 1/root3
Which gives the value of y 4root3
Which is 6.92 (approx)
As for x
Sin30 =4/x
1/2=4/x
X=8
Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 7) and (7, 0).
a.
Negative 7
c.
Negative 1
b.
7
d.
1
Calculations ↓
When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.
This is the formula :
[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]
y2 and y1 are y-coordinates, and x2 and x1 are x coordinates
Plug in the values :
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]
Which simplifies to [tex]^7/_7[/tex], or 1
Slope ↓1 (Option D.)
hope helpful ~
3. It is given that the simultaneous linear equations px + 4y = 10 and qx - 2y = 1 have no solution. Express p in terms of q.
Answer:
p = -2q
Step-by-step explanation:
Given
There is no solution.
Slopes are equalpx + 4y = 104y = -px + 10y = -p/4 + 5/2qx - 2y = 12y = qx - 1y = q/2 - 1/2Equating the slopes
-p/4 = q/2-p = 2qp = -2qThe stem and leaf plot represents a set of data
Answer:
you can do 97 - 2 which is 95, that's the range
A taxi driver drove 30 miles on Monday, 50 miles on Tuesday, 60 miles on Wednesday, 70 miles on Thursday, and 90 miles on Friday. The average number of miles he drove per day was ___
Answer: 60
Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300
Divide by 5
what is the midpoint of C(5,3 and D(-3,-6)
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
What is the slope of this line?
Answer:
5/6
Step-by-step explanation:
The slope of a line is the number being multiplied by x.
help me please,,,,,,,
Answer:
C
Step-by-step explanation:
[tex]x + y = 180 \\ 140 + x = 180 \\ x = 180 - 140 \\ x = 40[/tex]