Answer:
- 4
Step-by-step explanation:
Formula of slope:
m = ( [tex]y_{2}[/tex] - [tex]y_{1}[/tex] ) / ( [tex]x_{2}[/tex] - [tex]x_{1}[/tex] )
m = [8 - ( - 4)] / (4 - 7) = (8 + 4) / ( - 3) = - 4
Use the Distributive Property to simplify the expression.
10(b−6) =
Answer:
[tex]\huge\boxed{\boxed{10b-60}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Now that we know what the property states, let's simplify:
10(b-6)
10 times b minus 10 times 6:
10b-60
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an
approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What
percentage of filled boxes of rice have a weight between 28 and 29 ounces?
Find the z-table here.
O 33.1%
O 36.7%
O 63.3%
66.9%
Answer:
D
Step-by-step explanation:
I got it right
Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].
The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:
X = 29:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 28.2}{0.4}[/tex]
Z = 2
Z = 2 has a p-value of 0.977.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 28.2}{0.4}[/tex]
Z = -0.5
Z = -0.5 has a p-value of 0.308.
0.977 - 0.308 = 0.669 = 66.9%.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ2
The length of a rectangular deck is three times it's width. If the deck's perimeter is 32 ft, what is the decks area?
Answer:
the length is 12 and the width is 4, therefore the area is 48ft²
Find the radius and diameter of a circular puddle whose
circumference is 220 cm . ( Take ∏ = 22/7)
Answer:
[tex]r = 35cm[/tex]
Step-by-step explanation:
Given
[tex]C = 220cm[/tex]
[tex]\pi = \frac{22}{7}[/tex]
Required
Determine the radius
Circumference (C) is calculated as:
[tex]C = 2\pi r[/tex]
Where r represents radius
Substitute values for C and [tex]\pi[/tex]
[tex]220cm = 2 * \frac{22}{7} * r[/tex]
[tex]220cm = \frac{44}{7} * r[/tex]
Multiply through by 7/44
[tex]\frac{7}{44} * 220cm = \frac{7}{44} * \frac{44}{7} * r[/tex]
[tex]r = \frac{7}{44} * 220cm =[/tex]
[tex]r = \frac{7 * 220cm }{44} =[/tex]
[tex]r = \frac{1540\ cm}{44}[/tex]
[tex]r = 35cm[/tex]
Hence, the radius is 35cm
35+30s -45t expression equivalent
Answer:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Step-by-step explanation:
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, ...
Answer:
dw
Step-by-step explanation:
dw
Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p)
Several different cheeses are for sale. The cheese comes in wedges
shaped like sectors of a circle. All of the wedges are the same height.
10a. Mai bought a wedge with a central angle of 45 degrees and radius 10
centimeters. What is the area of the top surface of this wedge? *
Answer:
39.30 [tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the top surface of the wedge is the same as the area of a sector.
Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]
where: θ is the central angle, and r is the radius.
Given that: central angle = [tex]45^{o}[/tex], radius = 10 centimetre.
Area of the top surface = Area of a sector = (θ/[tex]360^{o}[/tex])[tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{45^{o} }{360^{o} }[/tex] x [tex]\frac{22}{7}[/tex] x [tex](10)^{2}[/tex]
= [tex]\frac{1}{8}[/tex] x [tex]\frac{22}{7}[/tex] x 100
= 39.2857
= 39.30 [tex]cm^{2}[/tex]
The area of the top surface of the wedge is 39.30 [tex]cm^{2}[/tex].
The area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
What is the area of a circular sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated if theta is measure in radian as,
[tex]A_{sector}=\dfrac{r^2\theta}{2}[/tex]
It can be calculated if theta is measure in degrees as,
[tex]A_{sector}=\dfrac{\pi r^2\theta}{360}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. Thus, the area of the top surface of this wedge is,
[tex]A_{sector}=\dfrac{\pi (10)^2(45)}{360}\\A_{sector}\approx 39.3\rm\; cm^2[/tex]
Thus, the area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
Learn more about the area of a circular sector here;
https://brainly.com/question/1283563
HELP ME PLSS!! thank you!!
Answer:
1.5
Step-by-step explanation:
Half of three is 1.5 and they take half off the x for each x. Therefore answer is 1.5
Does this graph represent a function? Why or why not?
O A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
O C. Yes, because it passes the horizontal line test.
O D. Yes, because it passes the vertical line test.
At nine months of age, a baby elephant can weigh 700 pounds. If this is 4 times the baby elephants birth weight, how many pounds did the elephant weight at birth?
Answer:
At birth, the baby elephant weighed 175 lbs.
Step-by-step explanation:
Answer:175 pounds
Step-by-step explanation:
Divide 700 by 4
What is the prime fractorization of 630
Answer:
[tex]2\cdot5\cdot3^{2}\cdot7[/tex]
Step-by-step explanation:
630 tree:
2x315
5x63
3x21
3x7
So its 2x5x3x3x7
Or, 2x5x3^2 x 7.
Hope this helps :D
Which statement about 2 +3x is true?
Answer:
B is the correct answer
Step-by-step explanation:
I dont know what are the statements add more detail to the question then I will answer
-10 1/9 + 9 7/45 answer
Answer:
-43/45
Step-by-step explanation:
help when i look for an answer here the button to watch an add for the answer doesn't show up.
What I understand you saying is you can't find the Ad Pop-up. But is this is a bad thing? No. It will speed up the process of you finishing your homework and you won't get stressed!
Hint: If you have an ad, you can skip to end so it will be faster.
£200 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as Nick. How much does Angad get?
Let the amount Nick gets = x
Angad gets 3x ( 3 times as much as Nick)
Peter gets 6x (Twice as much as Angad)
Add together to equal the total amount:
x + 3x + 6x = 200
Simplify:
10x = 200
Divide both sides by 10:
x = 20
Angad gets 3x = 3(20) = 60
A runner can travel 100 meters in 20 seconds. At that rate, how far does the runner go in 1 minute?
Answer:
he can run 5 meters in 1 min
Step-by-step explanation:
S = d/t
S=100m/20s
S=5m/s
What percent is represented by the shaded portion on this 10 × 10 grid?
A grid model has 100 squares. 76 squares are shaded.
What percent is represented by the shaded portion on this 10 × 10 grid?
A grid model has 100 squares. 76 squares are shaded
7.5 Over 100%
75 Over 100%
7.5%
75%
Answer:
StartFraction 75 Over 100 EndFraction percent
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Did the quiz
The fact that lower-income families will spend a higher percentage of their income on taxable items than higher-income families means that sales tax is what type of tax?
Answer:
Regressive tax
Answer:
Regressive TAX
Step-by-step explanation:
If the price for a meal is $15 and there is a $3 dollar tip, what percentage of the total is the tip?
Answer:
5%
Step-by-step explanation:
Answer:
3 is 20% of 15$
Step-by-step explanation:
Greatest common factor for 3,27, and 33
Answer:
it's 3.
Step-by-step explanation:
Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.
the actual length of a window that is 1 ½ inch long on a drawing with a scale of 1 inch = 6 feet?
Answer:
answer : 9 feet
Step-by-step explanation:
1 foot is 6 feet and a half foot is 3 feet so add them together.
to
Must use these numbers 1 time
equal 112
50,25,8,4,7,5
Need to find out how these numbers equal 112. Must use each number, can only use them once, but can add, subtract, multiply, or divide
Answer:
50 + 25 + (8*5) - (7 + 4)
Step-by-step explanation:
50 + 25 + (8*5) - 7 + 4 = 50 + 25 + 40 - 7 + 4
= 115 - 7 + 4
= 108 + 4
= 112
what is 400 times 6000 =
Answer:
2400000
Step-by-step explanation:
4×6=24
then put all zero together
1. Chuck gets a 7% raise this year. If Chuck's salary is equal to t, write the equation to determine Chuck's new salary.
hi.
hi. if T is it'salary , then 1.07T is his new salary.
Determine the function type. If it is a polynomial, state the degree of the polynomial and whether it is an even degree polynomial or an odd degree polynomial.
f(x)=[tex]\sqrt{x}[/tex]-3
Answer:
parent function: f(x)=√ x
It's not a polynomial
Step-by-step explanation:
easy question
This is the element that requires that no laws or statutes be violated, for example, if a construction contractor is not licensed in Oregon then they would be in violation of a State statute?
Select one:
a. agreement
b. capacity
c. legality
d. consideration
Name the property illustrated By if 3x + 4y = 6 and x = 5 then 3(5) + 4y = 6
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]3x + 4y = 6[/tex]
[tex]x = 5[/tex]
[tex]3(5) + 4y = 6[/tex]
Required
Name the property used
From the question, we have that: [tex]x = 5[/tex]
This implies that 5 can be substituted for x in the given equation [tex]3x + 4y = 6[/tex]
So, when 5 is substituted for x, we have that:
[tex]3(5) + 4y = 6[/tex]
Conclusively, the property that was applies is the Substitution property of equality
This month nathan has used 3 gallons of milk on his cereal. Each time he eats cereal he uses 1/12 gallon of milk. How many bowls of cereal did he eat this month?
Answer:
36 bowls!
Step-by-step explanation:
12 times 3 gallons is 36!
HOPE THIS HELPS!
Answer:
36 bowls of cereal
explanation...
12 bowls per gal.
12×3= 36
There is strong believe that language skills of Political science students are greater than students who study Finance. Researcher selected some students from each faculty in order to assess this claim by using 95% confidence level. Language exam was taken from students for this purpose. It is assumed than unknown population variance of language skills for each faculty is the same. Exam results are given in the following table.
Observation Political Science Finance
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
a) Formulate Null and Alternative Hypothesis. (1 point)
b) Calculate p value of the test. (4 points)
c) What is your decision about Hypothesis? (2 points
Answer:
a
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis [tex]H_a : \mu_1 > \mu_2[/tex]
b
[tex]p-value = 0.232[/tex]
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
[tex]\= x _1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _1 = \frac{7 +4 + \cdots + 6}{7}[/tex]
=> [tex]\= x _1 = 6.714[/tex]
Generally the sample mean for the second sample is mathematically represented as
[tex]\= x _2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _2 = \frac{5 + 3+ \cdots + 5}{7}[/tex]
=> [tex]\= x _2 = 6[/tex]
Generally the sample standard deviation for the first sample is mathematically represented as
[tex]s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }[/tex]
=> [tex]s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }[/tex]
=> [tex]s_1 = 1.905[/tex]
Generally the sample standard deviation for the second sample is mathematically represented as
[tex]s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }[/tex]
=> [tex]s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }[/tex]
=> [tex]s_1 = 4.33[/tex]
Generally the pooled standard deviation is
[tex]s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }[/tex]
=> [tex]s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }[/tex]
=> [tex]s = 1.766[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis [tex]H_a : \mu_1 > \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }[/tex]
=> [tex]t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }[/tex]
=> [tex]t = 0.757[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
=> [tex]df = 7 + 7 - 2[/tex]
=> [tex]df = 12[/tex]
From the t distribution table the probability of [tex]t = 0.757[/tex] at a degree of freedom of [tex]df = 12[/tex] is
[tex]t_{ 0.757 , 12} = 0.232[/tex]
Generally the p-value is
[tex]p-value = t_{ 0.757 , 12} = 0.232[/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob? $ per month
Answer:
Can you tell me the concept?
Step-by-step explanation:
Answer: $2
Step-by-step explanation:
If Jacob makes $174 every 3 months that is $58 per month
and Victoria makes $360 every 6 months that is $60 per month