Answer:
y = ½x - 5
Step-by-step explanation:
Given the following data;
Slope, m = ½
Intercept, c = -5
To write the equation of straight line;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values into the formula, we have;
y = ½x + (-5)
y = ½x - 5
[tex] y = \frac {1}{2}x - 5 [/tex]
factorise and solving
Answer:
a. (x+2)(x+3)
b. x = -2
x = -3
Step-by-step explanation:
a.
split 5x into 2x + 3x
then, you get
x² + 2x + 3x + 6
Split into (x² + 2x) + (3x + 6)
factorize individual groups
x (x + 2) + 3 (x + 2)
combine x + 3
your final answer is
(x + 2) (x + 3)
b.
if (x + 2) (x + 3) = 0
then (x+2) = 0 and (x+3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Answer:
A)(x+2)(x+3)
B)(x + 2) (x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Step-by-step explanation:
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results: Day Mon Tue Wed Thu Fri Sat Sun # of sick days 22 11 16 17 21 28 25 They want to perform a x? goodness-of-fit test to determine if these results suggest that employees were more likely to take sick days on certain days. What is the expected count of sick days taken on Saturday? You may round your answer to the nearest hundredth. Expected:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Answer:
20
Step-by-step explanation:
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
List the domain and range for the relation below: (The picture is down below)
No links or I will report
Answer:
I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.
Hope I helped :)
As a fraction in simplest terms, what would you multiply the first number by to get the second
first number - 26
second number -58
26•(blank)=58
please help
Answer:
2
Step-by-step explanation:
I need to turn this in by 10:00 plz help thank you :)
Answer:
11 is one 0f them
Step-by-step explanation:
11x11
Find the slope of the line and sketch its graph y=3
Answer:
0
Step-by-step explanation:
The slope is 0 as there is no x variable within the equation.
recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.
to graph this simply draw a horizontl line that crosses (0,3).
US
Find the circumference of this circle
using 3 for 7
C [?]
1
C = 27
Answer:
[tex]6.283185307[/tex]
Step-by-step explanation:
[tex]Formula - C = 2\pi r[/tex]
[tex]Formula = 2*\pi*1 = 6.283185307[/tex]
Answer:
C≈6
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=1 thus substitute:
[tex] \displaystyle C = 2\pi .1[/tex]
simplify mutilation:
[tex] \displaystyle C = 2\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 2.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 6[/tex]
and we are done!
Young people often find that playing video games, watching TV, and instant messaging friends can be very relaxing, and can help to alleviate stress in their lives. Apparently, though, it isn't relaxing enough. In a survey of teens at a local high school in Oregon, 42% of them said they need a vacation. Calculate the probability. The probability that a student in this survey says something other than that he or she needs a vacation is
Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
Can someone help me please !
I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
How many terms are there in the following expression? x - 5 + 16x + 4 - 2x - 3
Answer:
Two terms
Step-by-step explanation:
First, we have to simplify reducing the number of terms, since there are like terms
x-5+16x+4-2x-3
Eventually, you'll get 15x-4, thus there are two terms.
Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)
A survey asked buyers whether color, size, or brand influence their choice of cell phone. The results are below. How many people were influenced by brand
Answer:
wheres the photo
Step-by-step explanation:
(1,5) (2,5) (1,-5) (2,-5) is this a function
Answer:
A function is an expression in terms of a variable, usually x. Hence, that is not a function.
Step-by-step explanation:
What you have there are four sets of coordinates.
Answer:
no
Step-by-step explanation:
(1,5) (2,5) (1,-5) (2,-5)
This is not a function
To be a function each x must only go to one y
x=1 goes to both 5 and -5
x=2 goes to both 5 and -5
It is not a function
How much dog food would fit in a into a can with a height of 15.5 cm and a diameter of 10 cm?
Answer:
depends on the size of the food
Step-by-step explanation:
Ill give brainliest
.......
He gave $100 to the local charity
Step-by-step explanation:
1/5 of 500 is 100
Answer:
$100
Step-by-step explanation:
This question asks how much of his money he gave to charity, meaning we must find 1/5 of 500. An easy way to mentally solve this is by dividing 500 into 5 separate, equal parts. This can be done by dividing 500 by 5. If you don't know what 500/5 is you can ignore the 0s for now and just divide 5/5, which is 1. Then, add the 0s back on for an answer of 100. Therefore, because 100 is 1/5 of 500 it must be the answer.
Solve 4.85 ÷ 5 = ___. 0.94 0.95 0.96 0.97
Answer:
4.85 ÷ 5 = 0.97
hope this helps
What is the solution to this equation?
17.56 = 29.01 - 5x
Answer:
2,29
Step-by-step explanation:
17,56 = 29,01 - 5x
5x = 29,01 - 17,56
5x = 11,45|:5
x = 2,29
Answer:
x =2.29
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
1.) Determine the measure of angle x. please help and take all my points
Answer:
120 degrees
Step-by-step explanation:
a straight line is 180 degrees, so 180-60
can anyone help me with dis
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]
Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]
Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:
[tex]\frac{2}{1} = 2[/tex]
So our slope is 2. Completing our 3rd and final step.
Hope this helps!
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
Of all the students in a particular class, 20% have blue eyes. We want to run a
simulation to predict how many blue eye students will be chosen if we
randomly select 10 students. First, we need to assign digits to students that
have blue eyes and students that do not have blue eyes. If we were to use
single digits to represent both, which of the following would be a correct
method of assigning these digits?
Answer:A
Step-by-step explanation:
An old lady sells cooked corn at a taxi rank.On particular day, she bought ejgut dozen corn and sold six dozen.How many corn was she left with by the end of the day?
Answer:
2 dozen hope this helps!!
PLSSS NEED TO PASS LOL What is the value of x? Show your work.
4x-4=20
or, 4x=20+4
or,4x=24
or,x=20/4
tgerefore,x=5
Answer:
honesty i don't know fam
Use the given information to find the exact value of a.sin 20, b.cos
Answer:
Step-by-step explanation:
[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]
Now we cal calculate the quantities requested
[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]
[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]
[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]
Can someone help me answer this, thanks
Answer:
[tex]Height = 173.8ft[/tex]
Step-by-step explanation:
Given
[tex]\theta = 40^o[/tex]
[tex]d = 200ft[/tex] --- distance from building
[tex]h=6ft[/tex]--- height of the building
Let the height of the building be H. So:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(40) = \frac{H}{200}[/tex]
Make H the subject
[tex]H = 200 * \tan(40)[/tex]
[tex]H = 167.82[/tex]
The required height s:
[tex]Height = H + h[/tex]
[tex]Height = 167.82 + 6[/tex]
[tex]Height = 173.82ft[/tex]
[tex]Height = 173.8ft[/tex] --- approximately
Name two acute angles
Mr X invested R20000 at 10% interest compounded annually for 5 years and Mrs X invested the same amount R20000 at 10% simple intetest for 5 years Who will get more return on investment between Mr X and Mrs X show calulations
Answer:
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
Step-by-step explanation:
a) Mr X Return
We have the compound interest formula as;
V = P(1 + r)^t
V is the value yielded after some certain amount t
Where P is the amount invested = R20,000
r is the yearly interest rate = 10/100 = 0.1
t = 5 years
so we have;
V = 20,000(1 + 0.1)^5 = R32,210.2
b) Mrs X return
We use the simple interest formula here;
A = P + I
I = PRT/100
where P, the principal is the amount invested = R20,000
R = 10%
T = 5 years
I = (20,000 * 10 * 5)/100
I = R10,000
A = R20,000 + R10,000
A = R30,000
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
HELP PLEASE.. Which of the following functions is graphed below?
Simplify 4(3 − 2) − 7( + 5) Show work
Answer:
- 31
Step-by-step explanation:
4(3 − 2) − 7(5)
Subtract 3 - 2
4(1) - 7(5)
Multiple -7 and 5
4 - 35
Subtract 4 - 35
The correct answer is -31.
The simplified form of 4(3 − 2) − 7( + 5) is -31.
To simplify the given expression, using (PEMDAS/BODMAS) and simplify each part step by step.
4(3 − 2) − 7( + 5)
First, simplify the expressions inside the parentheses:
3 − 2 = 1
+ 5 = 5
then, the expression becomes:
4(1) − 7(5)
Next, let's perform the multiplications:
4(1) = 4
7(5) = 35
The expression now becomes:
4 − 35
Finally, let's perform the subtraction:
4 − 35 = -31
Therefore, the simplified form of 4(3 − 2) − 7( + 5) is -31.
Learn more about PEDMAS here:
https://brainly.com/question/24086845
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