Answer:
He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%
Which line has a slope of 12 and a y-intercept of 2?
Answer: The bottom left picture.
Step-by-step explanation:
The graph shows the linear line crossing through 2 on the y-axis, therefore the y-intercept is 2. The graph also shows the line increasing by going up 1 and over 2, resulting in the slope of the line being 1/2.
A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications?
Answer:
7.3%
Step-by-step explanation:
to get this percentage, we need to use the z-score calculation;
z-score = (x-mean)/SD
mean = 25.10 , SD = 0.2
For diameter 24.60
z-score = (24.6-25.10)/0.2 = -0.5/0.2 = -2.5
For diameter 25.40
z-score = (25.4-25.1)/0.2 = 1.5
So the proportion that will satisfy the specifications will be;
P(-2.5 < z < 1.5)
At this point, we use the standard normal table
P(-2.5 < z < 1.5) = P (z<1.5) - P (Z < -2.5)
From standard normal table;
P(Z < 1.5) = 0.9332
P(z < -2.5) = 0.0062
P(-2.5 < z < 1.5) = 0.9332 - 0.0062 = 0.927
So the proportion that meets specification = 92.7% ( same as 0.927)
Proportion failing to meet specification = 100- 92.7% = 7.3%
Answer: The percentage of ball bearings fail to satisfy the contract specifaction is 7.3 %.
Step-by-step explanation:
First we need to find the standard score of 24.60 and 25.40. Using Standard Score formula.
[tex]\frac{24.60 - 25.10}{.20} =-2.5\\\\\frac{25.4 - 25.10}{.20}=1.5[/tex]
now we need to find the percentages of these Z scores.
-2.5 = .0062 or 00.62%
1.5 = .9332 or 93.32%
now we subtract these two to get the in between percentage.
.9332 - .0062 = .927 or 92.7% is what doesnt fail to satifsy the contract spefications! But to find what does fail to satisfy we have to subtract it by 100% or 1.
1 - .927 = 0.073
7.3%
Write the equation of the line slope-intercept form that is parallel to y=-2x-9 and contains (4,-3)
A. y=-2x-11
B. y=-2x+5
C. y=-2x+11
D. y=-2x-11
Answer:
a
Step-by-step explanation:
y= |x-2| +3 identify the vertex, axis of symmetry, and transformation from the parent function f(x)=|x|
Answer:
vertex (-6,0) axis of symetry x= -6
Step-by-step explanation:
What is Multiplying polynomials?
Answer:
Polynomial multiplication is a process for multiplying together two or more polynomials.
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
The price of a sweater was reduced from $20 to $12 by what percentage was the price of the sweater reduced
If price of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the price of a sweater was reduced from $20 to $12.
Original price is 20.
new price is 12.
We have to find the how much percentage was the price of the sweater reduced.
To do this we have to find the difference between prices over the original price and multiply with 100.
Percentage = 20-12/20×100
=8/20×100
=40%
Hence, if price of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.
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What is the slope of the line that contains the points (-3, 2) and (-3, 5)?
Answer:
The slope is Undefined
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
Slope = Undifine
Write 49 as a product of two primes.
Answer:
49 = 7 x 7
Step-by-step explanation:
if we factor out 49 into its prime factors, we will get
49 = 7 x 7
(this is the answer)
Alternatively, we can recall from our multiplication tables that 49 = 7² = 7 x 7 (which gives the same answer)
Answer:
7² or 7x7
Explanation:
The prime is any number that can only be divided by itself or by one. One is not a cousin. The only prime pair is 2, all the others are unpaireds.
7/7 = 1. 7/1 = 7
7x7 = 49 or
7² = 49.
Other examples;
9 = 3²
25 = 5²
Find the missing values in the ratio table. Then write the equivalent ratios.
Burgers: 3, () , 9
Hot Dogs: 5, 10, ()
Equivalent ratios are: ()
Note, the ‘()’ is indicating the missing values needing to be filled.
Answer:
60 3 948 3
Step-by-step explanation:
im just diffrent
The required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,
Now,
According to the question,
3 / 5 = x / 10
x = 6
Now,
x / 10 = 9 / y
Substitute the value of x,
6 / 10 = 9 / y
y = 90 / 6
y = 15
Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.
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which of rhe following equations of the line is the most convient to use when there are two points identified on the line? A.)y=mx+b. C.) x/a+y/b=1 B.) y-y1=m(x-x1) D.)y-y1=y2-y1/x2-x1(X-X1)
Answer:
A
Step-by-step explanation: I am not for sure but I would think that cuz if your dealing with lines and point you gonna end up doing slope and slope is Y=MX+B
what is 2 3/4 - 5/16
Answer:
2 7/16
Step-by-step explanation:
multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.
Answer: 2 7/16
Step-by-step explanation: Your Welcome!
Find the GCF of the numbers using lists of factors.
27,45
30,48
28,48,64
Answer:
1.) 6
2.)6
3,)4
Step-by-step explanation:
I think these are the gcf of the numbers
Anyone know how to do these?
Answer:
1.4x10^-7
Step-by-step explanation:
For Problem 6
First we would divide the first numbers together so 7.84 / 5.6 = 1.4
We then would add the exponenites together so -3+-4=-7
Leading our awnser to be 1.4x10^-7
solve
7p + 8p - 12 = 59
I need help Question 2 (1 point)
Answer:
12 units
Step-by-step explanation:
Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.
Rosita earned $325 for working 25 hours last week. What is her hourly rate?
Answer:
13
Step-by-step explanation: 325/25=13
The hourly working rate of Rosita is equal to $325.
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 Rosita earned $325 for working 25 hours last week. The hourly rate will be calculated as,
To calculate the hourly rate divide the total earnings by the working hours.
Rate = 325 / 25
Rate = $13
The rate is $13 per hour.
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The girls at a student dance outnumbered the boys by 14. Altogether there
were 102 students at the dance. How many boys and how many girls were
present at the dance? Define two variables and then set up two equations. Solve
using either substitution or elimination.
Answer:
58 girls
44 boys
Step-by-step explanation:
102 divided by 2= 51 have to divide, 14 divided by 2 = 7
51 - 7= 44
51 + 7= 58
58 + 44= 102
according to my calculations hope i helped ^_^
and also 58 -44= 14 is the difference between them
Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =
Answer:
g(x)= x2
Step-by-step explanation:
g(x)=x2 = f(x)=x2
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function [tex]\rm g(x) = 2(x+4)^2[/tex].
Given :
[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of [tex]f(x) = x^2-2x+1[/tex].The following steps can be used to determine the rule for g:
Step 1 - Rewrite the given function f(x).
[tex]\rm f(x) = (x-1)^2[/tex]
Step 2 - Now, the graph is stretched vertically by a factor of 2.
[tex]= 2(x-1)^2[/tex]
Step 3 - Now, reflect the graph about the y-axis.
[tex]=2(-x-1)^2[/tex]
[tex]=2(x+1)^2[/tex]
Step 4 - Now, move to the left by 3 units.
[tex]=2(x+3+1)^2[/tex]
[tex]=2(x+4)^2[/tex]
Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].
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what is the y intercept of the table shown?
-1
1.5
-3
1
Answer:
-3
Step-by-step explanation:
the function increases by 2, so when you go backwards, the values will decrease by two hence, -3
can somebody help me please ?
Answer:
ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing
Answer:
Angle 1 = 72 degrees
Angle 2 = 110 degrees
Angle 4 = 110 degrees
Step-by-step explanation:
Use angle rules.
Angle 2 + angle 3 = 180, because they supplementary angles. Therefore, to find angle 2, you can do 180 - 72 = 110 degrees.
Angle 1 and angle 3 are vertical angles, meaning they are equal. Thus, angle 1 = 72 degrees.
Angle 2 and 4 are vertical angles, meaning they are equal. Thus, angle 4 = 110 degrees.
Write the equation in standard form using integers.
Y=2x+5
Answer: x = - 5/2 five is on top and 2 is bottom
Are these ratios proportional ?
1/4 and 5/20 yes or no
Please help! I’m so stressed I’ll give 25 points I just need this
Answer:
yes
Step-by-step explanation:
if you simplify 5/20 it is 1/4
Answer:
yes
Step-by-step explanation:
A city library checked out 8,393 books last month. The library checked out 1,188 books this month how many books were checked out in two months together
Answer:
9581
Step-by-step explanation:
8393 + 1188 = 9581
find the distance between (-2,6) ,(4,8)
Answer:
[tex]\sqrt{40}[/tex] OR 6.324555
Remember to round accordingly if not intended to be answered in square root form!
Step-by-step explanation:
Use the distance formula
What is the solution to this inequality?
4x + 2 ≤ -14 or 3x − 5 > 16
Answer:
x≤−4 or x>7
Step-by-step explanation:
What is the measure of angle A?
Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!
i need some help with these
Answer:
1. 6+x
3.x-12
5. a-1
7.z÷8
9.10+x^3
Use the bar model to add these fractions
Answer:
Not Sure how to solve this...
Step-by-step explanation:
BUT
5 minutes is equal to [tex]\frac{1}{12}[/tex]
10 minutes is equal to [tex]\frac{1}{6}[/tex]
15 minutes is equal to [tex]\frac{1}{4}[/tex]
30 minutes is equal to [tex]\frac{1}{2}[/tex]
helppppppppppppppppppppppppppppppppppp
Answer:
Slope is 1/2
Step-by-step explanation:
Y-intercept is -3