A teachers age is 6 years greater than 2 times a students age. A principals age is 10 years greater than 3 times the students age. If x represents the students age in years, wich expression represents how many years older the principal is than the teacher ?
Answer:
6+2x < 10+3x
Step-by-step explanation:
The expression for the teacher is 6+2x
The expression for the principal is 10+3x
To solve put them as 6+2x < 10+3x
Someone help me with 5 and 6 please I have to finish this RNNNN PLEASE THANK UUUU
Answer:
5: letter D
Step-by-step explanation:
if the side ratio is 9:12, then the volume ratio is
which integer is greater.
l-5l or l3l
Answer:
|-5|
Step-by-step explanation:
When you see the absolute value signs and a number in between, that number is always going to be the positive version of that number (if the number is already positive, it stays positive)So, |-5| = 5, and 5 is greater than 3, therefore |-5| is greater than |3|I hope this helps!
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 15 people making inquiries at the first development is $150,000, with a standard deviation of $40,000. A corresponding sample of 25 people at the second development had a mean of $180,000, with a standard deviation of $30,000. Assume the population standard deviations are the same.
1. State the decision rule for 0.05 significance level: H0: μ1 = μ2; H1:μ1 ≠ μ2.2. Compute the value of the test statistic
Answer:
The decision rule is
Reject the null hypothesis
The test statistics is [tex]t = -2.699[/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 15[/tex]
The mean at first deployment is [tex]\= x _1 = \$ 150 000[/tex]
The standard deviation is [tex]s_1 = \$ 40000[/tex]
The second sample size is [tex]n_2 = 25[/tex]
The mean at second deployment is [tex]\= x_2 = \$ 180000[/tex]
The standard deviation is [tex]s_2 = \$ 30 000[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df =n_1 + n_2 -2[/tex]
=> [tex]df =40 -2[/tex]
=> [tex]df =38[/tex]
Generally the pooled variance is mathematically represented as
[tex]s_p^2 = \frac{x(n_1 -1) s_1^2 + (n_2 - 1)s_2^2}{df}[/tex]
=> [tex]s_p^2 = \frac{(15 -1) 40000^2 + (25 - 1)30000^2}{38}[/tex]
=> [tex]s_p^2 = 1.1579 * 10^{9}[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x_1 - \= x_2 }{\sqrt{s_p [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]
=> [tex]t = \frac{ 150000 - 180000 }{\sqrt{1.11579 *10^{9} [\frac{1}{15} + \frac{1}{25} ]} }[/tex]
=> [tex]t = -2.699[/tex]
Generally from the t distribution table the probability corresponding to the t statistics value to the left is
[tex]t_{-2.699 , 38} = 0.00516046[/tex]
Generally the p -value is mathematically represented as
[tex]p-value = 2* t_{-2.699, 38}[/tex]
=> [tex]p-value = 2* 0.00516046[/tex]
=> [tex]p-value = 0.01032[/tex]
From the obtained value we see that the [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
Jackie runs and dances for 75 minutes every day.
She dances 25 minutes more than she runs.
Part A: Write a pair of linear equations to show the relationship between the
number of minutes Jackie runs (x) and the number of minutes she dances (y)
every day.
Part B: How much time does Jackie spend running every day? Show your work.
Part C: Is it possible for Jackie to have spent 45 minutes dancing every day?
Explain your reasoning.
Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.
Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.
A system of linear equation consists of multiple linear equations
The system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]She spends 25 minutes runningIt is possible to dance 45 minutes every day(a) A pair of linear equations
She dances and runs for 75 minutes.
So:
[tex]\mathbf{x + y = 75}[/tex]
She dances 25 minutes more than she runs.
So:
[tex]\mathbf{y = 25 + x}[/tex]
So, the system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]
(b) The time she spends running every day
Substitute 25 + x for y in [tex]\mathbf{x + y = 75}[/tex]
[tex]\mathbf{x + 25 + x = 75}[/tex]
Subtract 25 from both sides
[tex]\mathbf{2x = 50}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 25}[/tex]
Hence, she spends 25 minutes running
(c) Is it possible to dance 45 minutes each day
We have:
[tex]\mathbf{y = 25 + x}[/tex]
So:
[tex]\mathbf{y = 25 + 45}[/tex]
[tex]\mathbf{y = 70}[/tex]
This means that, she has to spend less minute running and dancing.
Read more about system of equations at:
https://brainly.com/question/12895249
A number line going from negative 3 to 0 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0. Point B is 2 marks to the left of 0. Point C is 1 mark to the left of negative 1. Point D is 2 marks to the left of negative 2. Lukas plotted these points on the number line. Point A: −12 3 Point B: −2 3 Point C: −11 3 Point D: −22 3 Which point did he plot incorrectly? Point
HELP ME PLSSS
Answer:
Point A
Step-by-step explanation:
#12 Eva took out a 5-year loan to buy a car at a 2% simple interest rate. If she has to pay $1,200 in interest, how much principal did she borrow? *
Answer:
$12,000
Step-by-step explanation:
2% for 5 years is 10% in total. if after the 5 years she gotta pay 1200, this mean 0.1p=1200
multiply 10 on both sides to find p, or principal.
p=12000
Answer:
$12,000
Step-by-step explanation:
P = 1200 / ( 0.02 × 5 ) = 12000
P = $ 12,000.00
subtract the difference of d and c from 2
please help me asap
Answer:
7/24 i think
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
10/24 is equivalent to 5/12
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 8 cups of bananas are used?
Answer:
12
Step-by-step explanation:
3=1 1/2
3/8 = 1.5/x
So you cross multiply
3x + (8 x 1.5)
So 12 would be your answer.
Big Ben is a famous clock tower in London. The circumstance around the clock is 72.22. How long is the hour on the clock if it is the radius of the circle
The hour hand is 9 feet (2.7 m) long and the minute hand is 14 feet (4.3 m) long.
I WILL MARK BRAINIEST
I got one correct there should be about one more that’s also right
So essentially an adjacent angle is when two angles have a common side and a common vertex.
So knowing that we can determine from the picture all the adjacent angles:
D) <2 and <3 are adjacent angles
E) <1 and <3 are adjacent angles
F) <1 and <5 are adjacent angles
I hope this helps.
What is the probability that the average of four babies' weights will be within 0.6 pounds of the mean; will be between 7.4 and 8.6 pounds
Answer:
.682
Step-by-step explanation:
I need help help......
Answer:
Y = x - 4
Step-by-step explanation:
Y = x - 4
if you substitute x for all the x on the table, it will equal to the y on the table
Ex. If x is -1
y = -1 - 4 = -5
Linda is riding on a bike course that is 60 miles long. So far, she has ridden 54 miles of the course. What percentage of the course has Linda ridden so far?
Answer:
Linda has ridden 90% of the course
Step-by-step explanation:
To find the percentage the formula is
distance ridden so far/total distance X 100
54/60 X 100
= 0.9 X 100
= 90
=90%
Therefore Linda has ridden 90% of the course.
what is 2.48 divided by 8
Answer:
.31
Step-by-step explanation:
Answer:
0.31
Step-by-step explanation:
Find the measure of each acute angle.
(19x - 1)
(13x - 5)
(193' - 1) =
and (132 – 5)° =
Answer:
(19x - 1)° = 56°
(13x - 5)° = 34°
Step-by-step explanation:
Property of the interior angles of a triangle:
Sum of interior angles of a triangle is 180°.
Therefore, sum of angles of the given right triangle will be,
(19x - 1)° + (13x - 5)° + 90° = 180°
32x - 6 + 90 = 180
32x = 96
x = 3
(19x - 1)° = 19×3 - 1 = 56°
(13x - 5)° = 13×3 - 5 = 34°
Do the ratios
10 2
and
form a proportion?
20 4
In one month Kimberly earned $500 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $750 next month. How much will be withheld for federal income
Answer:
It will be withheld $75 for federal income.
Step-by-step explanation:
Proportions
Assuming the federal income tax is proportional to the earnings, we can establish the following relationship between the income tax (T) and the earnings (E):
T = k.E
Kimberly earned E=$500 and paid T=$50 for federal income tax, With this information, we can calculate the value of k:
50 = k ( 500)
k = 50 / 500
k = 0.1
The model is now:
T = 0.1*E
If Kimberl earns $750 next month, the tax will be:
T = 0.1*($750)
T = $75
It will be withheld $75 for federal income.
(50 POINTS FOR THE FIRST ANSWER)
At the grocery store, Savvanah notices that it costs $2.48 for 40 ounces of jelly. What is the unit price?
Answer: 16.13
Step-by-step explanation: 40 divided by $2.48
y > -x +2
y < 3x - 2
Answer:
make a better answer pls
Step-by-step explanation:
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each. How much did Veronica spend on candy?
Answer:
$26.80
Step-by-step explanation:
multiply 1.79 by 5 and you get 8.95
multiply 1.19 by 15 now because there are 15 uncounted bags left and you get 17.85
add together and you get 26.8. she spent 26.8 dollars on candy
You are making identical balloon arrangements for your family reunion. You have 42 maroon
balloons, 126 white balloons, and 14 orange balloons. You want each arrangement to have the
same number of each color. What is the greatest number of arrangements you can make if
every balloon is used? How many of each color of balloons will be in each arrangement?
Answer: 42 in all, 14 of each.
Step-by-step explanation
The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.
Answer:
42
Step-by-step explanation:
100 L 99 mL + 2,999 mL = __________________ mL
how many groups of 2/3 go into 3/5
Answer:
2!
Step-by-step explanation:
Maria sold 91 tickets and Sarah sold 70 tickets. What is the ratio of the number of tickets Maria sold to the total number of tickets sold?
Answer:000000 mdmdjdjc
Step-by-step explanation:ok
Name 2 alternate exterior angles
Answer: Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.
Step-by-step explanation:
8 xy + 1 =
PLEASE I CAN’T DO MATH
Answer:
send photo of question
8.Convert the line into slope intercept form: 3x + 5y =-15
Answer:
Y= -3/5x - 3
Step-by-step explanation:
3x+5y=-15
-3x. -3x
5y=-3x-15 then you would divide 5 from all the numbers to get : y=-3/5x-3.
