Answer:
-77 + (-46)
=> -77 - 46 (When you add two negative integers, it is the same thing as subtracting a positive integer with a negative integer)
=> -123 (Because a negative + a negative = a negative)
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Thank You!!
= -77 + ( - 46 )
= - 77 - 46 ( a positive integer and a negative integer makes a negative integer )
= -123 ( two negative signs resulted in the usage of addition )
Therefore , -77+ (-46) = -123
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
The mayor of a town saw an article that claimed the national unemployment rate is 8%. They wondered if this held true in their town, so they took a sample of 200 residents to test H_0 : p = 0.08 versus H_a : p != 0.08, where p is the proportion of residents in the town that are unemployed. The sample included 22 residents who were unemployed.Identify the correct test statistic for this significance test to one decimal place.
Answer:
Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
[tex]p = \frac{X}{n}[/tex] = 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]
therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
Therefore we reject the Null hypothesis
Testing the hypothesis, it is found that the test statistic used is z = 1.6.
At the null hypothesis, it is tested if the proportion is of 8%, that is:
[tex]H_0: p = 0.08[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:
[tex]H_1: p \neq 0.08[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]
[tex]z = 1.6[/tex]
A similar problem is given at https://brainly.com/question/24166849
On a number line, how are the locations of 9 and -9 related?
A.
The two numbers are opposites in value and lie in opposite direction on the number line.
B.
The two numbers are opposites in value and they lie in the same direction on a number line.
C.
The two numbers are equal in value and lie in opposite direction on the number line.
D.
The two numbers are equal in value and they lie in the same direction on a number line.
Answer:
none.
Step-by-step explanation:
how can you like put a subtract sign next to a number like lol!! how does it make sence!?!? i think the CORRECT answer is apple bobbing. i think this because when you apple bob for 9 apples it like subtracts it from the apple water!! currently crying because your question doesnt make sence like its obv apple bobing
car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
It is the cost of renting a car for a day.
It is the total number of days a car can be rented.
It is the portion of the cost based on renting a car for d days.
Answer:
It is the portion of the cost based on renting a car for d days
Step-by-step explanation:
Given:
Total cost = 15 + 18d
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change.
Fixed cost = base rate = 15
Variable cost changes during production process. The variable cost in the above varies with the number of days (d)
Therefore, 18d is the portion of the cost based on renting a car for d days.
If you rent the car for 1 day
Total cost = 15 + 18d
= 15 + 18(1)
= 15 + 18
= 33
The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.
Answer: 29.2 degree
Step-by-step explanation:
Given data:
Elevation of the pilot = 50,000 feet
Elevation of the two towers = 300 feet apart.
Depression of closer tower = 30
Solution:
The angle of depression to the second tower is x
tanx = 5000/(5000*√(3)+300)
x=29.2
Therefore the angle of depression of the second tower is at 29.2 degree
Answer:
29.2°
Step-by-step explanation:
From diagram (b)
Tan θ= opp/adj
Where θ = 30°
opp = 5000ft
adj = ?
tan 30° = 5000/x
x tan30° = 5000
x = 5000/tan 30
x = 5000/0.577
x = 8665.5ft
From diagram c
tan θ = opp/adj
Where θ = ?
opp = 5000
adj = 300+x
x= 8665.5
tan θ = 5000/300+8665.5
tan θ = 5000/8965.5
tan θ = 0.55769
θ = arch tan 0.55769
θ = 29.147
θ= 29.2°
out of 50 students,34 joined the journalism class and 25 joined the robotics club.If 16 students joined both clubs,how many students are in neither club
f
[tex]f(x)2 - 5[/tex]
Help me pleaseeeeee!!
Can you answer both and tell me the answer please
Answer:
7. 10^2
8. 3x3x3x3x3x3x3x3x3 = 19,683mi^2
Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.
Answer:
25+19x=t At least I think
Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?
Answer:
2 hats
Step-by-step explanation:
4+4+3+3+3=17
Each hat costs $4 and each scarf costs $3.
He bought 5 items. Two of those items were hats.
The rest were scarfs.
The number of hats bought by John are 3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the hat is represented by x
scarves is denoted by y
Hats cost $4 each while scarves cost $3 each
John buys 5 items and spends a total of $17.
We need to find the number of hats.
3x+4y=17..(1)
x+y=5..(2)
x=5-y
Subtract x value in equation 1
3(5-y)+4y=17
Apply distributive property
15-3y+4y=17
15+y=17
Subtract 15 on both sides
y=2
x+2=5
x=3
Hence, the number of hats bought by John are 3
To learn more on Equation:
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Domain range and function
Write using interval notation
Answer:
(-9,5]
Hope this helps!!!!!
I need help fast
help me please
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 30 + (-12) + 70
B. -10 + (-20) + 1/2
C. 60 +40 + (-25)
Answer:it’s A
Step-by-step explanation:
Bill is a builder.
On Monday he made mortar mix.
He used 24kg of sand and 5 kg of cement.
On Tuesday Bill will make the same type of mortar mix.
He will use 36 kg of sand.
How much cement does he need to make the same type of mortar mix?
Answer:
7.5 kg
Step-by-step explanation:
24 : 5
36 : x
x = 5 × 36 / 24
= 7.5 kg
Bill needs 7.5 kg of cement
Monday:
Sand = 24 kg
Cement = 5 kg
Tuesday:
Sand = 36 kg
Cement = x kg
Ratio of sand to cement
24 : 5 = 36 : x
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5 kg
Read more:
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+0
1. Sam has a rope that measures
(5 x 1/10) + (6 x 1/100) + (8 x 1/1000)
How can this measurement be written as a decimal?
( 3+√3 ) (2+√2) simplify
A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take
Answer:
6
Step-by-step explanation:
you need to do this (13-4)/1.50
If you spend 540 minutes per year waiting in lines, how many hours is this?
Answer:
540 minutes in hours =540/60
=9 hours
The time 540 minutes in hours will be 9 hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the time is 540 minutes. The value of time in hours will be calculated as,
The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.
Time = 540 / 60
Time = 9 hours
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Serena wants to open a licensed child care center. Her state requires that there be no more than 12 children for each teacher. She would like her child care center to serve
29 children
(a) How many teachers will be needed?
The linear equation has 5(x + 2) = 5x + 2 A) no solution. B) one solution. C) two solutions. D) infinitely many solutions
it's A it has no solution
3(2h + 7) = 4(9 – h)
Answer:
h=−2
Step-by-step explanation:
A parachutist descends 30 feet in 2 seconds.Express the rate of the parachutist’s change in height as a unit rate
Answer:
15
Step-by-step explanation:
30/2= 15 feet per second
what’s the answer bruh? I need help fr fr
Answer:
C.
Step-by-step explanation:
Very simple! First we have to take 4x-y=24 and put it in slope intercept form. We get y=4x-24. After this, we have to find the reciprocal of the slope (4). The reciprocal is 1/4. Which equation has a slope of 1/4? C does!
Answer:
A
Step-by-step explanation:
Identify the x- and y- intercept of the graph of the equation -3x + 6y = 24
Answer: x- intercept (0,-8)
Y- intercept (4,0)
Step-by-step explanation:
I mark as brainliest
Answer:
-2, 0
I think I haven’t done this in 3 years lol
Answer:
-2,0
Step-by-step explanation:
X is -2 and Y is 0.
So X,Y = -2,0.
11. Use an inequality symbol (<, >, 2, =) to compare -26
O A.
O B. =
O C.<
O D.>
Answer:
c. <
Step-by-step explanation:
-26 < (less than) 54
Is it carbohydrate, lipid, protein, or nucleic acid?
PLEASE HELP!!! LAST QUESTION AND IM STUCKK.
Answer:
nucleic acid
Step-by-step explanation:
the ratio of lily's programing to tina's programing speed is 3:5. lily can write six programs per day. if lily and tina work together to write 240 programs, how many days are needed
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation: