Answer:
5
Step-by-step explanation:
a+b=30
a=30-b------1
&a-b=20
a=20+b-----2
From eqn 1 and 2, we get
30-b=20+b
or, 10=2b
b=5
Now, a=20+5
a=25
Therefore, a/b=25/5
=5
Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5
The system of equations:
a + b = 30 - - - (1)a - b = 20 - - - (2)From (1) :
a = 30 - b - - - (3)
Substituting a = 30 - b into (2)
30 - b - b = 20
30 - 2b = 20
30 - 20 = 2b
10 = 2b
b = 5
From (3) :
a = 30 - 5
a = 25
Hence,
a/b = 25 / 5 = 5
Hence, the value of a/b is 5
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A polynomial p has zeros when x=5, x=-1, and x=-1/4. what could be the equation of p?
A. p(x)=(x+5)(x+1)(4x+1)
B. p(x)=(x-5)(x+1)(4x+1)
C. p(x)=(x+5)(x-1)(4x-1)
D. p(x)=(5x)(-1x)(-1/4x)
Answer:
B
Step-by-step explanation:
Given: x = 5 ; x - 5=0
x = -1; x+ 1= 0
x = -1/4; 4x + 1 = 0
Then; (x - 5)(x + 1)(4x + 1)
Josh is comparing the volume of a cylinder and steer. The cylinder has a high of 8 inches and radius of 6 inches. This sphere has a radius 6 6 inches. What is the van of the cylinder and spare in terms of pie
Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…
Step-by-step explanation:
NEED THIS ASAP PLEASE
Answer:
50
Step-by-step explanation:
Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answer:
my names emily too!!!!
Step-by-step explanation:
Jill sold half of her comic books and then bought sixteen more. she now has 36. how many did she begin with?
Step-by-step explanation:
thats the ans okay......
Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..
Answer:
All are corrects.
Step By Step Explanation:
It's all the same thing.
Find the value of c that makes the trinomial a perfect square trinomial.
m^2-14m+c
Answer:
49
Step-by-step explanation:
m^2-14m+c
Take the -14
Divide by 2
-14/2 = -7
Square it
(-7)^2 = 49
Add it to each side
m^2-14m+49
The value of c is 49
Simplify using the laws of exponets.
The answer is 35 over 2.
Option B!
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 420.0 gram setting. It is believed that the machine is underfilling the bags. A 33 bag sample had a mean of 417.0 grams. A level of significance of 0.01 will be used. Determine the decision rule. Assume the variance is known to be 576.00.
Answer
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
Step-by-step-explanation:
From the question we are told that
The population mean is [tex]\mu = 420.0 \ g[/tex]
The sample size is n = 33 bags
The sample mean is [tex]\= x = 417.0 \ g[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The variance is [tex]\sigma^2 = 576.0[/tex]
The null hypothesis is [tex]H_o : \mu = 420[/tex]
The alternative hypothesis is [tex]H_a : \mu < 420[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{576 }[/tex]
=> [tex]\sigma = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \sigma }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{417 - 420 }{ \frac{24}{ \sqrt{ 33} } }[/tex]
=> [tex]z = -0.71807[/tex]
From the z table the area under the normal curve to the left corresponding to -0.71807 is
[tex]p-value = P(Z < -0.71807 ) = 0.23636[/tex]
Generally looking at the values we see that
[tex]p-value > \alpha[/tex] , hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the machine is underfilling the bags
1
Determine whether the triangles are similar. If they are, write a similarity statement.
42°
48
Are they similar?
If so, then which of the following is an accurate similarity statement?
Answer:
theyre not similar
Step-by-step explanation:
they have different angles
Complete the proof of the identity by choosing the Rule that justifies each step.
(1- cos x) so
secx sin tan
To see a detailed description of a Rule, select the More Information Button to the right of the Rule,
( 1 - cos²x ) secx
=> sin²x . secx
Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .
=> sin²x [ 1/cosx ]
Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .
=> sinx [ sinx/cosx ]
Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].
=> sinx tanx
Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .
The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.
Statement 1; ( 1 - cos²x ) secx
This is given
Statement 2; sin²x · secx
Rule 1; From trigonometric identities, we know that;
sin²x + cos²x = 1,
Thus; cos²x = 1 - sin²x
Thus; ( 1 - cos²x ) secx = sin²x · secx
Statement 3; sin²x (1/cosx)
Rule 2; The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .
Statement 4; sinx (sinx/cosx )
Rule 3; The rule here is that sin²x can be expressed as (sinx * sinx)
Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).
Statement 5; sinx(tanx)
Rule 4; The rule here is that; sinx/cosx = tanx.
Thus; sinx (sinx/cosx ) gives us sinx(tanx)
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Find the value of c so that the polynomial p is divisible by (x+2)
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]
[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]
[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]
[tex] - 32 + 4c = 0[/tex]
[tex]4c = 32[/tex]
[tex]c = 32 \div 4[/tex]
[tex]c = 8[/tex]
The probability of waiting 2 minutes or longer for checkout at a particular supermarket counter is 0.3. On a given day, a man and his wife decide to shop individually at the market, each checking out at different counters. They both reach the counters at the same time. What is the probability that one or the other or both will wait 2 minutes or longer?
Answer:
The probability answer is 69/100
Step-by-step explanation:
The probability of waiting 2 minutes or longer = 0.3= (3/10)
The probability of not waiting longer = 1 - (3/10) = (7/10)
For the man,
P(waiting 2 mins or longer) = 3/10
For the woman,
P(waiting 2 mins or longer) = 3/10
Therefore,
The probability that one or the other or both will wait 2 minutes or longer
= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)
= (3/10) or (3/10) or ( (3/10) and (3/10) )
= (3/10) + (3/10) + ( (3/10) X (3/10) )
= (6/10) + (9/100)
= (69/100)
Help!!!!!!!!!!!!!!!!!
Answer:
7.5 i got
Step-by-step explanation:
60%8= 7.5
Answer: the shaded area is 1/6 of the circle and is 60 degrees thats all i know sorry if not right
Step-by-step explanation: HAVE A GREAT DAY
please help me<3
Thank you so much!
Answer:
55%
Step-by-step explanation:
Divide the number of people that would buy the car again (this means that they were satisfied) by the total number of people
1320/2400 = 0.55
0.55 * 100 = 55%
Mallie's car dealership expects to sell 18 cars every 6 days. Based on this information, how many days does the dealership expect that it will take to sell 90 cars
Answer:
30 days
Step-by-step explanation:
1 way:
18 cars/6 days = 3 cars/1 day
90cars/3 cars a day= 30 days
another way:
90 cars/18 cars= 5
6 days * 5= 30 days
y = 1/6x + 8 Identify the slope?
Answer:
The slope is 1/6
Step-by-step explanation:
The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
From this, we know that 1/6 is the slope because it is plugged in for m.
Hope this helps! :)
Answer:
The slope is 1/6
Explanation:
The slope is always the coefficient of X
Find the slope of the line through each pair of points. (-20,-4), (-12, -10)
Answer:
-0.75 i think
Step-by-step explanati
Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh?
Answer:13 1/2
Step-by-step explanation:
The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.
Answer:
Two tailed test
+/-1.96
Step-by-step explanation:
Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.
At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96
(c−9)2−(4c−2)2 factor
Answer:
−2(3c + 7)
Step-by-step explanation:
Factor the polyomial
A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing). Source Sum of Squares df Mean Square F Ratio Factory 19012.5 1 19012.5 26.427 Supplier 258.333 2 129.167 0.180 Factory*Shift 80908.333 2 40454.167 56.230 Error 8633.333 12 719.444 Total 108812.5 17 6400.735 The number of observations in each treatment cell (row-column intersection) is
Answer:
The number of observations is 3
Step-by-step explanation:
According to the given situation, The computation of the number of observations in each cell treatment via intersecting row-column is shown below
Here
N represents the number of observations
So from the given data, the number of observations is 3
i.e.
N = 3
The same is to be considered and relevant too
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
3. Find the class size, class mark Lower limit and upper limit of the class interval 150-200
Answer:
See Explanation
Step-by-step explanation:
Class size = 200 - 150 = 50
Class mark = (150 + 200)/2 = 350/2 = 175
Lowe limit = 150
Upper limit = 200
Find the value of x if DE is a midsegment
Answer:
It is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. As shown in the triangle given below. Therefore the value of x is 15
Susan bought 12 ounces of candy. How many grams did she buy?
Susan bought 340.194 grams of candies
Answer:
It is 340.194
Step-by-step explanation:
Hope this helped have an amazing day!
What is (-24)+(-36)+(-12)
(Simplify the following )
Please help me.. if I fail I’ll get kicked from school
help please, i will love you forever
Answer:
See Below
Step-by-step explanation:
I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.
We are converting between different units of measurement.
Here are the conversions to know:
12 inches = 1 foot
3 feet = 1 yard
1760 yard = 1 mile
5280 feet = 1 mile
#1
We need to convert 7 feet into inches.
7 feet * 12 inches per foot = 84 inches
Now we know:
84 inches = 7 feet
What's the difference is between 84 inches, and 18 inches?
84 inches - 18 inches = 66 inches
We need 66 more inches to get a length of 7 feet.
#2
We need to convert 2 miles into yards.
2 miles * 1760 yards per mile = 3520 yards.
Now we know:
3520 yards = 2 miles
What's the difference between 3520 yards and 2000 yards?
3520 yards - 2000 yards = 1520 yards
We need 1520 more yards to make 2 miles
#3
We need to convert 108 inches into feet.
108 inches / 12 inches per foot = 9 feet
Since there is no remainder,
9 feet = 108 inches.
Hopefully you can see what is going on here and do the rest yourself.
Which expression is equivalent to 24 - (-6)?
Choose 1 answer:
--6-24
B
24 + (-6)
24 + 6
6 - 24
Joseph loves the Tennessee Titans, so his mother decides to buy
him a Titans cake for his birthday. If the cake cost $ 35.00
before taxes and $ 37.10 after taxes, please and answer
the following questions:
$ 35
1. How much will Joseph's mom pay in taxes?
2. By setting up a percent proportion, determine the percent tax rate.
(The "of" is the price of the cake before taxes and the "is" is the amount of taxes.)
is
of
100
Answer:
Step-by-step explanation:
question one: his mom will pay $2.1 in taxes
thats all i can answer