Answer: a.) $50188 to $57812
Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ± [tex]z\frac{s}{\sqrt{n} }[/tex]
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]
54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.
b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.
Savanna spent a total of $116 on 30 plates, 40 cups, and 4 packages of napkins. Matthew spent $1000 on 250 plates, 300 cups, and 50 packages of napkins. Justin spent $189 on 55 plates, 55 cups, and 6 packages of napkins.
Which system of linear equations could be used to determine the price of each type of party supply?
Answer: rate this 5 stars or your gay
Step-by-step explanation:
Just do it
What is 11% of R250?
Answer:
just like you did it all right before the text was released
Answer:
1 percent of 250? = 27.5.
Step-by-step explanation:
help pleaseee!!!! I’ll give brainliest
what is 98.704 in expanded using powers of ten
Answer:
[tex]9.8704 * 10^1[/tex]
Step-by-step explanation:
The standard form is called the scientific notation expressed generally as;
[tex]A * 10^n[/tex]
A is an integer between 1 and 10
n is ant integer or fraction
Given the decimal value 98.704, we ill shift the decimal point to the back once to have;
98.704 = [tex]9.8704 * 10^1[/tex]
Note the when the decimal point is shifted backwards the value of n is always positive. Hence the expansion in power of 10 is [tex]9.8704 * 10^1[/tex]
One angle of an isosceles triangle measures 56°. Which other angles could be in that isosceles triangle? .
Answer:
68 or 62 degrees
Step-by-step explanation:
If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle
are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).
If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:
(180-56)÷2=measure of each base angle
180=sum of angle measures in a triangle
56=measure of third angle
With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)
The other angles that could be in that isosceles triangle should be considered as the 56°, 68°, or 62°.
Calculation of the measurement of the angles:Since One angle of an isosceles triangle measures 56°.
So in the case when 56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°
Now
In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.
hence, The other angles can be 56°, 68°, or 62°.
learn more about an angle here: https://brainly.com/question/24283305
Answer this question if cool
Answer:
The answer to your question is given below
Step-by-step explanation:
From the question given above, the mean score is 23.
Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:
Mean deviation = | mean – Score |
Mean = 23
For Score 21:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 21 | = 2
For Score 22:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 22 | = 1
For Score 28:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 28 | = 5
For Score 29:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 29 | = 6
SUMMARY:
Score >> Mean >> Absolute deviation
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
28 >>>>> 23 >>>>> 5
29 >>>>> 23 >>>>> 6
Two ships leave the port at 12 noon. Ship A is traveling at the bearing of 146 at 20 miles per hour, and ship B travels at a bearing of N32 E at 28 miles per hour. Approximate how far apart ships are at 3 PM. At what bearing ship A is from ship B at 3 PM.
Answer: [tex]d = 103.23 miles[/tex] apart.
Step-by-step explanation:
given data:
ship a = 20miles. = 60miles
ship b = 28miles. = 84miles
time interval = 3hrs.
θ = 90
[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]
[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]
[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-10080*(cos90) }[/tex]
[tex]d = \sqrt{10656-0[/tex]
[tex]d = \sqrt{10656[/tex]
[tex]d = 103.23 miles[/tex]
Best way to learnMath
Answer:
ramrari focus and concentration garnu. Ani lightly linu SABAI problems haru .
Answer:
the best way to learn maths is by regular hard work and by practicing of maths daily
Solve the proportion
fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction
Answer:
t = 3/16
Step-by-step explanation:
Solve the proportion fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction
From the above question, we are to solve for t
The above expression is written Mathematically as:
15t/5 = 2t + 3/6
We cross Multiply
15t(6) = 5(2t + 3)
90t = 10t + 15
Collect like terms
90t - 10t = 15
80t = 15
t = 15/80
t = 3/16
Please help me with the pic attached below.
Answer/Step-by-step explanation:
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle.
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
Solving algebraically, x can be found as follows:
132° = 3x + 54°
132° - 54° = 3x (subtraction property of equality)
78° = 3x
78°/3 = 3x/3 (division property of equality)
26 = x
x = 26
Pablo is binging his favorite TV show right before he has to go into work and two hours before he has to go in for his next
shift. Assuming it takes about 20 minutes for pablo to get ready, and each episode his 25 minutes long, how many
episodes can pablo watch before he has to begin getting ready?
A. Six episodes
B. Five episodes
C. Four episodes
D. Seven episodes
Answer:
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
PLEASE HELP IF UR GOOD AT MATH!!!
Help please
Sarah's rectangular dining table has a area of 9000 sq ft and the length is 20 in less then four time the width find the length and width
Given that,
The area of a rectangular dining table = 9000 sq ft
Solution,
Let the width is b ft. Length is 20 less then four time the width.
Length = (4b-20) ft
The formula for the area of a rectangle is given by :
A = lb
Substitute all the values,
[tex]9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet[/tex]
Neglecting negative value, b = 50 ft
Length, l = (4(50)-20)
l = 180 ft
So, the length is 180 ft and width is 50 ft.
There are 28 rows in a corner section of a professional football stadium. Each row
contains 4 more seats than the row in front of it. If there are 15 seats in the first row, 19
seats in the second row, 23 seats in the third row, and so on, which equation represents
the number of seats “s”in the “nth” row?
A. s(n)= 11 +4n
B. s(n) = 15+41
С. s(n) = 28 + 4n
D. s(n) = 11n + 4
Answer: A. S(n) =11+4n
Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.
PLEASE HELPPPPPPPPP! 44 POINTS
Answer:
#6-
1. 9x30=(9x10)+(9x10)+(9x10)
2. 9x30=9(10+10+10)
3. 9x30=270
#7-
1. 7x50=7x(10+10+10+10+10)
2. 7x50=7x(25+25)
3. 7x50=350
#8-
1. 2x90=(2x45)+(2x45)
2. 2x90=90+90
3. 2x90=180
Step-by-step explanation:
Hope this helps!
50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , independently from other students. Use the CLT (with continuity correction) to find the probability that there won't be enough parking spaces for all the cars.
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]
[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536
Using the z test statistics;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]
[tex]z = \dfrac{5.5}{3.536}[/tex]
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
(x-5^2)-7=93
Solve using square roots
I’m just unsure whether the answer will be x=-5+- 10 or x=5+-10
Answer:
Step-by-step explanation:
steps are stated below
step 1
(x-5^2)-7=93 equation
step 2
x-5^2-7=93 remove brackets
step 3
x-5^2-7=93 simplify
x+(-25)+(-7)=93
step 4
(x)+(-25+-7)=93 combine the tems
x+(-32)=93
step 5
x+(-32)=93 change the symbols
x-32=93
step 6
x-32(+32)=93(+32) add +32 to both sides so we can get our answer
x=-0=93+32
x=125
Answer:
x=15, x=-5
Step-by-step explanation:
Solve:
[tex](x-5)^2-7=93[/tex]
Adding 7:
[tex](x-5)^2=93+7[/tex]
[tex](x-5)^2=100[/tex]
Taking square roots:
[tex]x-5=\sqrt{100}[/tex]
Recall a square root has two possible answers:
[tex]x-5=\pm 10[/tex]
Adding 5:
[tex]x=5\pm 10[/tex]
There are two answers:
[tex]x=5+ 10=15[/tex]
[tex]x=5- 10=-5[/tex]
Answers: x=15, x=-5
What is i raised to the 5th power?
Complex numbers algebra
On Monday, Cody bought 414141 cherries. On Tuesday, Cody ate 191919 cherries. Now, she wants to divide the remaining cherries into bags of 444 cherries each.
Estimate how many bags of 444 cherries Cody can make.
Choose 1 answer:
Answer:
5 bags
Step-by-step explanation:
guys give me a grade 6 division word probelm answers have to be correct
Answer:
Six division word problems answer had to be correct!
Got You✌
The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Answer:
sorryyyyyuuuuuuuuuuuuuuuuuuu
Answer:
-3n = 27
Step-by-step explanation:
-1/2y = 1/2x + 5 and y = 2x + 2
Answer:
x = -4
y = -6
Step-by-step explanation:
I just use my calculator to do this
Could someone answer these problems ?
Answer:
She received $18.11
Step-by-step explanation:
25.63-7.52= $18.11
Answer:
8. $18.11
10. 71
Step-by-step explanation:
25.63 - 7.52 = 18.11
90 - 19 = She is old. JK
90 - 19 = 71
A medical researcher wishes to investigate the relationship between hours exercised and weight lost. The researcher randomly samples 50 people on an exercise program and asks them to report how many hours they have exercised on average over the last 6 weeks and how many pounds they have lost. The researcher runs a correlation and finds a test statistic of .34. Knowing that the critical value is .279, what should the researcher conclude
Answer:
The researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program
Step-by-step explanation:
Here, we want to state what the conclusion of the researcher should be:
From the last part of the question, we can see that the test statistic is greater than the critical value
So what do we do in a case like this?
We can see that the researcher is trying to see if there is a correlation between hours worked out and the number of pounds lost over a specific period of time.
Now, let us form the null hypothesis;
The null hypothesis here H0 is that we do not have a correlation between number of hours spent working out and the amount of pounds lost
The alternative hypothesis here H1 is that there is a correlation between the number of hours spent working out and the amount of pounds lost
Since we have the value of the test statistic greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis
So therefore, the researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program
A store charges customers $85 for a video game. This is 170% of what the store paid for the game.
can anyone help a girl out?
Answer:
I think it is $59.5
Step-by-step explanation:
Hope this helped have an amazing day!
у 2х + 4.
What is the answer?
Answer:
well, y 2x+4 has to be y^2x+4
What percent of 855 is 990
Answer:
86.36%
Step-by-step explanation:
Answer:
116%
Step-by-step explanation:
990% of 855 = 1.15789473684 or
= about 116%
A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
Answer:
$25 a lamp
Step-by-step explanation:
First divide $10,000 by 500 lamps to find how much one of them cost
That is $20 a lamp so then multiply .25 *20 or 1/4 *20
you get 5 than add 20 +5=25
A candy machine can make 25.15 pounds of candy in an hour. How much candy can it make in 6.5 hours?
Answer:
i believe its 163.475 pounds of candy
Step-by-step explanation:
i multiplied 25.15 by 6.5
Answer:
163.475 pounds of candy.
Step-by-step explanation:
If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.
What is the answer to this problem?
Answer:
You are told you have a cumulative count of $400 for interest You gave $5000 in principal Principal + gained interest = Total Hence total = $5,400