Answer:
Step-by-step explanation:
g ( f ( x ) ) = ( x+ 3) ^2
5.12 Divided by 35.75
Answer:
5.12 Divided by 35.75 is 0.14 if you want it rounded to the nearest hundredth. TO the nearest tenth is 0.1 and to the nearest thousandth is 0.143
Step-by-step explanation:
Answer:
0.14
Step-by-step explanation:
(x+y)(x-y) if x =-3 and y=-5
Answer:
See below.
Step-by-step explanation:
(x+y)(x-y)
(-3-5)(-3-(-5))
(-8)(-3+5)
(-8)(2)
-16
-hope it helps
Angle T and angle V are complementary angles. If cos T = 0.75, which statment is always true?
Complementary angles T and V would add up to 90 degrees
The true statement is sin V = 0.75
How to determine the correct statement?The given parameters are:
cos T = 0.75
Angles T and V are complementary angles
The second highlight above means that:
T + V = 90cos T = sin Vsin T = cos VSubstitute 0.75 for cos T in cos T = sin V
0.75 = sin V
Rewrite as:
sin V = 0.75
Hence, the true statement is sin V = 0.75
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What’s the answer to (-8x) + x + (-2x)
[tex](-8x) + x + (-2x) = -8x + x - 2x = -9x[/tex]
Answer:
-9x
Step-by-step explanation:
-8x + x +(-2x)
*A negative multiplied by a positive makes a negative
-8x + x -2x
-7x-2x
-9x
Hope this helps!
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 9 ounces. The process standard deviation is 0.15, and the process control is set at plus or minus 1 standard deviation. Units with weights less than 8.85 or greater than 9.15 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)
Answer:
[tex]1-P(8.85 < X < 9.15)=0.3173[/tex]
Step-by-step explanation:
We need to first calculate the probability that a unit between the weight of 8.85 and 9.15 ounces is NOT a defect, then subtract it from 1.
It just so happens that 8.85 and 9.15 are both 1 standard deviation from the mean of 9, so by the Empirical Rule, [tex]P(8.85 < X < 9.15)=0.6827[/tex].
Thus, the probability of a unit being a defect is [tex]1-P(8.85 < X < 9.15)=1-0.6827=0.3173[/tex]
question is attached in the photo thank you so much
Divide (6x3y2 + 12x2y - 8xy) by (2xy)
Answer:
Step-by-step explanation:
6x³y² = 2 * 3 * x³ * y²
12x²y = 2 *3 * 2 * x² * y
8xy = 2 * 2 * 2 *x * y
GCF = 2xy
6x³y² + 12x²y - 8xy = (2xy * 3x²y) + (2xy * 6x) - (2xy * 4)
= 2xy *(3x²y + 6x - 4)
[tex]\dfrac{6x^{3}y^{2}+12x^{2}y-8xy}{2xy}=\dfrac{2xy*(3x^{2}y+6x-4)}{2xy}\\\\\\= 3x^{2}y + 6x - 4[/tex]
The ticket prices at a movie theater are shown in the table. A family purchased tickets for 2 adults and 3 children, and the family purchases 3 boxes of popcorn of the same size. The family spent a total of $40.25 how much did each box of of popcorn cost
Answer:
We cannot see the table so I am unable to add an answer. You must include a picture of the table.
Step-by-step explanation:
find the value ofnp for which the equation
(7P+1)X^2+(5P-1)X+P=1
Answer:
(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0
The quadratic will have equal roots it its discriminant = 0
find the slope and the y-intercept for the graph of y = -4.
a -4;none
b 1;-4
c 0; -4
d -4;0
thank you for the help
Answer:
C, 0;-4
Step-by-step explanation:
y=-4 means that no matter what the x value is, the y value will ALWAYS be -4. It does not change based on what x is, and we can tell that just by looking at it because x isn't even in the equation. I've attached an image of that the graph would look like.
The slope of the graph references how many units the y value increases for each increase in the x value. For example, a slope of 1/2 means that each time the x value increases by 2, the y value would increase by 1. But because y's value never changes, the slope is 0. No matter how much the x value changes, the increase in y values will be 0.
Since the y-axis is at where x=0, the y-intercept basically asks, "What is y's value when x is 0?" But like I mentioned before y's value never changes. It's always -4, no matter what the x value is. Therefore, the y-intercept is at -4.
can your help me to solve this question
a. The five-number summary of the data would be:
Minimum: 23; Quartile Q1: 29; Median: 33; Quartile Q3: 42; Maximum: 51
b. The box plot for the data set is given in the diagram attached below.
c. The distribution of the scores based on the box plot is positively skewed.
What is a Box Plot?A box plot represents a data distribution showing the five-number summary which includes, min and max values, lower and upper quartile, and median of the data distribution.
Given the data set:
33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31
a. The five-number summary of the data would be:
Minimum: 23
Quartile Q1: 29
Median: 33
Quartile Q3: 42
Maximum: 51
b. The box plot for the data set is given in the diagram attached below.
c. The box plot shows that the median is closer to the bottom of the rectangular box, therefore, the distribution of the scores based on the box plot is positively skewed.
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i think is it So if it is
97+(-27)+(-89)+(-54)
Step 1:
[tex]97+(-27)+(-89)+(-54)[/tex]
Step 2:
[tex] = 97 - 27 - 89 - 54[/tex]
Info:
(+) ×(-)=-
Step 3:
[tex] = 97 - 170[/tex]
Step 4:
[tex] = - 73✓[/tex]
Answer:
Step-by-step explanation:
97+(-27)+(-89)+(-54)= -73
if you doubled a recipe that makes 2 doz. cookies how many cookies would you expect to make
Answer:
48
Step-by-step explanation:
remember 1 dozen of something is 12 of that object
so 1 dozen cookies is 12 cookies
two dozen means two times one dozen
or 2-times twelve (because there are twelve of an object in a dozen)
2 times 12 is 24
now you double the recipe that makes 2 dozen cookies
so you have 24 cookies and you multiply that by 2 to double it and you get 48
A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 99% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi?
0.57 0.68 0.10 0.93 1.29 0.55 0.86
What is the confidence interval estimate of the population mean mu?
_ppm < mu < _ ppm
Answer:
hi there friend
Step-by-step explanation:
CI=(0.431,1.0376)CI=(0.431,1.0376)
Explanation:
Given that:
The sample size , n = 7
The mean of the observation:
Mean = Sum of observation / Total number of observation
= (0.56+ 0.72+ 0.10 + 0.99 + 1.32 + 0.52 + 0.93) / 7 = 0.7343
The standard deviation:
S.D. = \sqrt {\frac {\sum_{i=1}^{i=7}(x_i-\bar{x})^2}{n-1}}S.D.=
n−1
∑
i=1
i=7
(x
i
−
x
ˉ
)
2
Calculating SD as:
S.D. = \sqrt {\frac {(0.56-0.7343)^2+(0.72-0.7343)^2+.....+(0.52-0.7343)^2+(0.93-0.7343)^2}{7-1}}S.D.=
7−1
(0.56−0.7343)
2
+(0.72−0.7343)
2
+.....+(0.52−0.7343)
2
+(0.93−0.7343)
2
SD = 0.3928
Degree of freedom = n-1 = 6
The critical value for t at 2% level of significance and 6 degree of freedom is 2.043.
So,
90 \% \ confidence\ interval=Mean\pm Z\times \frac {SD}{\sqrt {n}}90% confidence interval=Mean±Z×
n
SD
So, applying values , we get:
CI=0.7343\pm 2.043\times \frac {0.3928}{\sqrt {7}}CI=0.7343±2.043×
7
0.3928
CI=(0.431,1.0376)CI=(0.431,1.0376)
Amelia wants to paint 3 walls in her family room. Two walls are 26 feet long by 9 feet wide. The other wall is 18 feet long by 9 feet wide.
A. What is the total area of the walls that Amelia wants to paint?
B. Each gallon of paint covers about 250 square feet. How many gallons of paint should Amelia buy to paint the walls?
Answer:
x = 2.52 gallons. It is best that she buy 3 gallons of paint.
Step-by-step explanation:
Wall 1 & 2 : 26 ft by 9 ft
Wall 3 : 18 ft by 9 ft
Area 1 : 26 ft x 9 ft = 234 ft²
Area 2 : 26 ft x 9 ft = 234 ft²
Area 3 : 18 ft x 9 ft = 162 ft²
Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²
1 Gallon = 250 ft²
630 ft² ÷ 250 ft² per gallon = 2.52 gallons
Amelia will need 2.52 gallons of paint to cover the wall space of 630 ft^2
On a map, Peach Street is modeled by the equation 4x - y = 7. Apple Street is perpendicular to Peach Street and passes through the point
(12, 2). Find the equation that models Apple Street (1 point)
A. Y=1/4x+5
B. Y=-1/4x-1
C. Y=1/4x-1
D. Y=-1/4x+5
Did you ever get the answer
Choose all numbers that are divisible by 3
Answer:
A,C,D,
Step-by-step explanation:
You want to buy an ice cream cone but you want to make sure it’s worth your money, the cone has a radius of 1.4 inches and a height of 4.5 inches. How much ice cream will fit inside?
30 points please show work thanks so much :)
The amount of ice cream that can fit into the cone is about 9.24 in³.
What is volume?
Volume is the amount of space occupied by a three dimensional shape and object. The volume of a cone is given by:
Volume (V) = (1/3) * π * radius² * height
From the dimensions of radius = 1.4 in and height = 4.5 in, hence:
V = (1/3) * π * 1.4² * 4.5 = 9.24 in³
The amount of ice cream that can fit into the cone is about 9.24 in³.
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Using the volume of the cone, it is found that 9.24 cubic inches of ice cream will fit inside.
What is the volume of a cone?The volume of a cone of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
In this problem, the cone has a radius of 1.4 inches and a height of 4.5 inches, hence r = 1.4, h = 4.5, then:
[tex]V = \frac{\pi 1.4^2(4.5)}{3} = 9.24[/tex]
9.24 cubic inches of ice cream will fit inside.
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Rewrite the following quadratic function in vertex form.
f(x)=6x^2−6x+1
Answer:
f(x)=6(x-0.5)²-0.5.
Step-by-step explanation:
1) the rule is:
f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola;
2) according to the rule above:
f(x)=6(x²-x+0.25)-0.5; ⇔
f(x)=6(x-0.5)²-0.5.
A machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%). Prior to shipment produced parts are passed through an automatic inspection machine, which is supposed to be able to detect any part that is obviously defective and discard it. However, the inspection machine is not perfect. A part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input. Slightly defective parts are marked as defective and discarded 40% of the time, and obviously defective parts are correctly identified and discarded 98% of the time.
Required:
a. What is the total probability that a part is marked as defective and discarded by the automatic inspection machine?
b. What is the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped?
c. What is the probability that a part is 'bad' (obviously defective) given that it makes it through the inspection machine and gets shipped?
Answer:
(a) 0.0686
(b) 0.9984
(c) 0.0016
Step-by-step explanation:
Given that a machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%).
Let A, B, and C be the events of defect-free, slightly defective, and the defective parts produced by the machine.
So, from the given data:
P(A)=0.90, P(B)=0.03, and P(C)=0.07.
Let E be the event that the part is disregarded by the inspection machine.
As a part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input.
So, [tex]P\left(\frac{E}{A}\right)=0.02[/tex]
Now, from the conditional probability,
[tex]P\left(\frac{E}{A}\right)=\frac{P(E\cap A)}{P(A)}[/tex]
[tex]\Rightarrow P(E\cap A)=P\left(\frac{E}{A}\right)\times P(A)[/tex]
[tex]\Rightarrow P(E\cap A)=0.02\times 0.90=0.018\cdots(i)[/tex]
This is the probability of disregarding the defect-free parts by inspection machine.
Similarly,
[tex]P\left(\frac{E}{A}\right)=0.40[/tex]
and [tex]\Rightarrow P(E\cap B)=0.40\times 0.03=0.012\cdots(ii)[/tex]
This is the probability of disregarding the partially defective parts by inspection machine.
[tex]P\left(\frac{E}{A}\right)=0.98[/tex]
and [tex]\Rightarrow P(E\cap C)=0.98\times 0.07=0.0686\cdots(iii)[/tex]
This is the probability of disregarding the defective parts by inspection machine.
(a) The total probability that a part is marked as defective and discarded by the automatic inspection machine
[tex]=P(E\cap C)[/tex]
[tex]= 0.0686[/tex] [from equation (iii)]
(b) The total probability that the parts produced get disregarded by the inspection machine,
[tex]P(E)=P(E\cap A)+P(E\cap B)+P(E\cap C)[/tex]
[tex]\Rightarrow P(E)=0.018+0.012+0.0686[/tex]
[tex]\Rightarrow P(E)=0.0986[/tex]
So, the total probability that the part produced get shipped
[tex]=1-P(E)=1-0.0986=0.9014[/tex]
The probability that the part is good (either defect free or slightly defective)
[tex]=\left(P(A)-P(E\cap A)\right)+\left(P(B)-P(E\cap B)\right)[/tex]
[tex]=(0.9-0.018)+(0.03-0.012)[/tex]
[tex]=0.9[/tex]
So, the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped
[tex]=\frac{\text{Probabilily that shipped part is 'good'}}{\text{Probability of total shipped parts}}[/tex]
[tex]=\frac{0.9}{0.9014}[/tex]
[tex]=0.9984[/tex]
(c) The probability that the 'bad' (defective} parts get shipped
=1- the probability that the 'good' parts get shipped
=1-0.9984
=0.0016
What is the slope of a line perpendicular to the line in the graph?
Answer:
-[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
write each equation in slope-intercept form (3,4); and (-6,-2)
Answer:
y = 2/3x + 2
Step-by-step explanation:
Slope intercept form is y=mx+b where m is the slope and b is the y intercept.
Given 2 points you can find the slope using (y-y1)/(x-x1)
m = (-2-4)/(-6-3) = -6/-9 = 2/3
To find b use one of the points and m and plug into the slope intercept form and then solve for b.
y=mx+b
4=2/3(3) + b
4=2 + b
b=2
Now we can write the final equation as : (plug m and b back in)
y = 2/3x + 2
To write in slope-intercept form, we must first find the slope.
[tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-(-2)}{3-(-6)} =\frac{6}{9}=\frac{2}{3}[/tex]
Now lets put into the point-slope form which requires the use of any one of the two points given which in this case can be (3,4) and the slope 2/3
[tex]y - y_{0} =m(x-x_{0} )\\y-4=\frac{2}{3} (x-3)\\[/tex]
Now to put into the slope-intercept form, we must solve for y:
[tex]y - 4 = \frac{2}{3} x -2\\y = \frac{2}{3} x +2[/tex]
Hope that helps!
HELP ON THESE TWOOO.....it’s for mathhhhhh
Answer:
6-2I hope this helps!
Prove the following
please help
Step-by-step explanation:
3. (1 + cos x) (1 − cos x)
Distribute using FOIL.
1 − cos²x
Use Pythagorean identity.
sin²x
4. sin x / (1 − cos x)
Multiply by the conjugate.
sin x (1 + cos x) / ((1 − cos x) (1 + cos x))
Distribute using FOIL.
sin x (1 + cos x) / (1 − cos²x)
Use Pythagorean identity.
sin x (1 + cos x) / sin²x
Divide.
(1 + cos x) / sin x.
Split the fraction.
(1 / sin x) + (cos x / sin x)
csc x + cot x
(3,4) (3,9)
Slope intercept form
Answer:
Slope intercept form;
y = mx + b
Find the slope first:
y1 - y2 9 - 4 5
______ = _______ = ____ = is undefined
x1 - x2 3 - 3 0
so
y = 5/0x
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{3}}}\implies \cfrac{5}{0}\implies und efined[/tex]
usually there's no hmm slope-intercept form for it per se, the equation will be like the one in the picture below.
which algebraic expression is correct on this mathematical phrases?the qoutient of a and b multiplied by the difference of t and s
A.(axb)-(s-t) B. (axb)+(t-s) C.(a÷b)-(sxt) D.6a+2
please answer this fast i need it right now i'll give you brainleist
Answer:
D
Step-by-step explanation:
quotient of a and b: a ÷ b
multiplied: ×
difference of t and s: t - s
Therefore: (a ÷ b) × (t - s)
Answer:
D. (a/b) x (t-s)
Step-by-step explanation:
Given :-
The quotient of a and b multiplied by the difference of t and s.
Solving :-
Quotient of a and b = a/b
Difference of t and s = t - s
Multiplied together :-
(a/b) x (t-s)
Solution :-
D. (a/b) x (t-s)
Heather is planning to buy a home. She would need to borrow $200,000 from a bank over a 30-year period. The monthly payment is $1800. What will be her total interest for the 30 years?
Answer:
Below.
Step-by-step explanation:
Total payment = 1800 * 30 * 12 = 648,000.
Interest = 448,000.
Heather should have to pay total of $648,000 to the bank and Interest Heather will pay to the bank is $448,000.
What is interest?Interest is the price you pay to borrow money or cost you charge to lend money. Interest can be calculated by total amount you paid after a specific time period minus the total amount you borrowed.
Heather borrowed $200,000 from a bank over a period of time 30 year.
30 year = 12×30monts
=360 months
Now, The monthly payment to the bank is = $1800
Therefore total payments in 360 months is = 360×$1800
=$648,000
Bank Interest = $648,000 - $200,000
=$448,000
Hence , Heather total interest after 30 years will be =$448,000
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PLEASE HELP!!!!!!!!! 20 points!!!!
When ethically investing, Taylor should consider which type of data?
A. Only qualitative
B. Both finite and qualitative
C. Only quantitative
D. Both qualitative and quantitativ
When ethically investing, Taylor should consider qualitative and quantitative data.
Quantitative and qualitative dataQuantitative data is anything that can be counted or measured whereas qualitative data is descriptive,
Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.
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Answer:D
Step-by-step explanation:just got it right
Solve the exponential equation: 36x = 32x - 1
Answer:
1/4
Step-by-step explanation:
36x=32x-1
We move all terms to the left:
36x-(32x-1)=0
We get rid of parentheses
36x-32x+1=0
We add all the numbers together, and all the variables
4x+1=0
We move all terms containing x to the left, all other terms to the right
4x=-1
x=-1/4
x=-1/4
What is 185/100+50%+4%
Answer:
2.815
Step-by-step explanation:
Answer:
2.39
Step-by-step explanation:
185
----- + 50% + 4%=2.39 or 239%
100