Answer:
directrix: x=-1
focus: (1,0)
Step-by-step explanation:
jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age
Answer:
you could do 27+x=30
Step-by-step explanation:
For a certain product we obtained a regression line equation Y = 10 - 0.8 X, where X is price (in $) and Y is sales (in $1,000). The slope of the line (- 0.8) represents:___---.
A. If the price were $10, expected sales would be $8,000.B. If the price were zero, expected sales would $800.C. If the price increases by $1, sales will decrease by $800, on average.D. Sales are maximized when the price is $0.8.
E. None of the other answers are correct.
Answer:
C. If the price increases by $1, sales will decrease by $800, on average
Step-by-step explanation:
Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
First correct answer gets brainlest.
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
find the equation of the line that has the given slope and passes through the given point. write the equation in the slope intercept form. m=2 (5,4)
Answer:
y = 2x - 6
Step-by-step explanation:
Use the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
4 = 2(5) + b
4 = 10 + b
b = -6
y = 2x - 6
Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm
Answer:
the answer is C. 78
Step-by-step explanation:
First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.
Help please!!! Ty to anyone who answeres
Answer:
Scale factor=2
The perimeter of the enlarged figure is 19
The area of the enlarged figure is 4 times the area of the original figure
Step-by-step explanation:
Scaling
There are two figures, the red rectangle (original) and the blue rectangle (enlarged).
To find the scale factor we directly compare the height of both rectangles and note:
height of original rectangle=1.5
height of enlarged rectangle=3
Thus, the scale factor is 3/1.5 = 2
Scale factor=2
The original perimeter is calculated as:
P1=2*1.5+2*3.25=3+6.5=9.5
The perimeter of the enlarged figure is 2 times the original perimeter
P2=2*9.5=19
The perimeter of the enlarged figure is 19
To calculate the area of the enlarged figure, we use
A2=H2*W2
Where H2 and W2 are the height and width of the enlarged figure.
Since
H2=2*H1
W2=2*W1
A2=4*A1
The area of the enlarged figure is 4 times the area of the original figure
Help me please is the math
Answer:
2nd) which is 4 multiplied by 5 multiplied by 2
The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.
Test Result
Positive Negative
Cancer present 0.21 0.79
Cancer absent 0.06 0.94
In a large study of prostate cancer screening, it was found that about 6.5% of the population has prostate cancer.
A. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).
B. What is the probability that the test is positive for a randomly chosen person from this population?
Answer:
Step-by-step explanation:
A tree diagram is the right way of determining a list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.
We can found the tree diagram for selecting a person from the population in the given question in the attached image below.
b. Given that 6.5% of the population have prostate cancer. Suppose the total population is 100000. Then, we have the following table:
By applying Naive-Bayes theorem, the probability that the test is positive for a randomly chosen person from this population is expressed as:
P( positive ) = P( positive | cancer present ) P( cancer present ) + P( positive | cancer absent ) P( cancer absent )
P( positive ) = 0.21×0.065 + 0.06×(1 - 0.065)
P( positive ) = 0.01365 + 0.0561
P( positive ) = 0.06975
Thus, the probability that the test is positive for a randomly chosen person from this population is:
= 0.06975
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444.0 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 443.0 grams. A level of significance of 0.02 will be used.
Required:
State the hypotheses. Assume the standard deviation is known to be 23.0.
Answer:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Step-by-step explanation:
From the given information:
the population mean = 444
the sample mean = 443
number of samples = 40
standard deviation = 23
The null hypotheses and he alternative hypotheses can be computed as:
Null hypothesis:
[tex]\mathbf{H_o: \mu = 444}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_1: \mu < 444}[/tex]
Thus, this is left-tailed since the alternative hypothesis is less than the population mean
The test statistics can be computed as follows:
[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{443 - 444 }{\dfrac{23}{\sqrt{40}}}[/tex]
Z = - 0.275
At the level of significance of 0.02;
the critical value of [tex]Z_{\alpha/2} = Z_{0.02/2}=-2.05[/tex]
Decision rule: To reject the null hypothesis if the value of the Z score is lesser than the critical value.
Conclusion:
We fail to reject the null hypothesis and we conclude that sufficient evidence to support the claim that the machine bags were underfilled.
The speed of light is 3 x 10^8 meters per second. The sun is approximately 230.000.000 meters from Mars. How many seconds does it take for the sunlight to reach mars? Write your answer in scientific notation using the format: 4.2x10^5 With no spaces Round to the nearest tenth. Do not include units (Seconds) in your answer.
URGENT
Answer:
0.8
Step-by-step explanation:
Given that:
Speed of light = 3 * 10^8 m/s
Distance of sun to Mars = 230,000,000 meters
How many seconds does it take for sunlight to reach Mars?
Using the relation :
Speed = distance / time
Hence ;
Time = Distance / Speed
Time = 2.3 * 10^8 / 3 * 10^8
Time = 0.766
Time = 0.8 ( nearest tenth)
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?
Answer:
She will be paid $1,350
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
[tex]y=0.05\cdot 11,000+800[/tex]
Y=550+800=1,350
She will be paid $1,350
Answer:
1350
Step-by-step explanation:
(Note: this method is not the best to use in future problems, please refer to the other answer if you want something better to use.)
16,000-12,000=4,000
1,600-1,400=200
To find the rate of change in 1000s:
200/4 = 50
Essentially this means the rise is 50 and the run is 1000, so, just remove $50 from the payment from 2 months ago to find your answer
Employed Graduates: According to the administration at a particular college, 55% of graduates are typically employed full time after graduation. To assess the impact of the current job market, the administration will take a survey of 619 recent graduates. The administration finds that 52% of the surveyed recent graduates were employed full time. If the population proportion of all recent graduates employed is the same as the stated proportion typically employed, how likely is it that the administration would have obtained a sample proportion as low as or lower than it obtained from its survey
Answer:
The likelihood is [tex]P(p < \^ p) = 0.066807[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p =0.55
The sample size is n = 619
The sample proportion is [tex]\^ p = 0.52[/tex]
Generally the mean of the sampling distribution is [tex]\mu_{x} = p = 0.55[/tex]
The standard deviation is [tex]\sigma = \sqrt{\frac{p(1- p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.55(1- 0.55 )}{619} }[/tex]
=> [tex]\sigma = 0.02[/tex]
Generally the likelihood that the administration have obtained a sample proportion as low as or lower than it obtained from its survey is mathematically represented as
[tex]P(p < \^ p) = P(\frac{p- \mu}{\sigma } < \frac{ 0.52- 0.55}{0.02 } )[/tex]
Generally [tex]\frac{p- \mu}{\sigma } = Z(The \ standardized \ value \ of \ p)[/tex]
=> [tex]P(p < \^ p) = P(Z <-1.5 )[/tex]
From the z-table the probability of (Z <-1.5 ) is
[tex]P(Z <-1.5 ) = 0.066807[/tex]
So
[tex]P(p < \^ p) = 0.066807[/tex]
Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, "I had either popcorn or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn’t drink soda or tea." Of course you know that Tommy is the worlds worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy’s statements using sentence variables (P, Q, R, S, T), taking their negations, and using these to deduce what Tommy actually ate.
Answer:
tom ate sandwiches of cucumber and also had tea
Step-by-step explanation:
The computation is shown below:
P:I = popcorn
Q:I = raisins
R:I = cucumber sandwiches
S:I = sodas
T:I = tea
1. It could be either popcorn or raisins
2. If i take sandwiches of cucumber so it also had soda
3. Do not drink soda or tea
Now considered the negation of 1, 2 and 3
So,
[tex]\sim (PVQ) = \sim P \wedge \sim Q\\\\\sim (R \to S) = \sim(\sim R\vee S) = R \wedge \sim S\\\\ \sim(\sim S \vee \sim T) = S \wedge T[/tex]
Now combining 4, 5 and 6
We get
[tex]\sim P \wedge \sim Q \wedge R \wedge \sim S \wedge S \wedge T\\\\\sim P \wedge \sim Q \wedge R \wedge T[/tex]
So, tom ate sandwiches of cucumber and also had tea
PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression [tex]y\frac{2}{3}[/tex] as a radical expressions.
Answer:
[tex] \sqrt[3]{y {}^{2} } [/tex]
Shania is taking a survey about her attitude towards children’s programming. Even though she still watches Sesame Street every night before she goes to bad, she is afraid she will be judged so she answers dishonestly. This is an example of which problem of surveys?
Answer:
Response Bias
Step-by-step explanation:
This is an example of the problem known as Response Bias. This is basically any and all reasons an individual may have for not answering a question truthfully regardless of the reason. This is a huge problem when conducting a survey since there are almost no ways to prevent this and false responses can completely contaminate the results gathered by the survey. In this scenario, the reason for lying was fear and shame which are normal emotions for individuals and is impossible to predict who will lie due because of it.
A segment has endpoints A (-1, 1) and B (8, 4) .
If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?
Answer:
fafafsghdjdbdbdgsysvdve. wwmsk
What is the next three terms for 7, 21, 63
Answer:
189, 567, 1701
Step-by-step explanation:
multiply each term by 3.
The radius of a semicircle is 2 yards what is the semicircle’s perimeter
Write the word sentence as an equation. Then solve.
The sum of a number y and -3 is –8.
Equation:
Solution: y =
24
Answer:
The equation is: y + -3 = 8
And y = -5
Step-by-step explanation:
Sum means addition which means the sum of a number y and -3 is the same as y + -3. So, you would add the =8's to make it an equation.
Use the drop down menus to complete the statement to match the information shown by the graph
Hasan travels
at the same speed asAnneliese because the
slopeof Hasan's graph is
equal tothat of Anneliese's graph.
The
slopeof the graph tells you the unit rate is in
meters per minutershelp will do brainliest uwu I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Answer:
152
Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152
Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:
The Answer is
$287732
I wish you all the best of luck
Which equation has the solution n = 11?
7n - 8 = 62
8n + 6 = 102
3n + 12 = 45
5n - 20 = 25
URGENT!!!
Answer:
3n + 12 = 45
Step-by-step explanation:
3n + 12 = 45
3n = 45 - 12
3n = 33
n = 33
3
n = 11
Answer:
3n + 12 = 45
Step-by-step explanation:
*Process of elimination*
___________________
3n + 12 = 45
(given)
_________
3n + 12 = 45
- 12 - 12
(subtraction property of equality)
__________________________
3n = 33
÷ 3 ÷ 3
(division property of equality)
_______________________
n = 11
_____
7n - 8 = 62
(given)
________
7n - 8 = 62
+ 8 + 8
(addition property of equality)
__________________________
7n = 70
÷ 7 ÷ 7
(division property of equality)
_______________________
n = 10 ≠ 11
________
8n + 6 = 102
(given)
________
8n + 6 = 102
- 6 - 6
(subtraction property of equality)
__________________________
8n = 96
÷8 ÷8
(division property of equality)
_______________________
n = 12 ≠ 11
________
5n - 20 = 25
(given)
________
5n - 20 = 25
+ 20 + 20
(addition property of equality)
__________________________
5n = 45
÷5 ÷5
(division property of equality)
_______________________
n = 9 ≠ 11
2 1/6 - (-8/3) + (-4 7/9) =
Answer:
1/18
Step-by-step explanation:
First make it so they all have the same denominator.
So...
2 3/18 - (- 48/18) + (- 4 14/18)
Then we remove parenthesis...
2 3/18 +48/18 - 4 4/18
1/18
hope this helps
brainliest?
PLEASE HELP WILL AWARD BRAINLIEST!! A company makes chairs, loungers, and footstools. Each item uses units of wood, fabric, and stuffing. Chairs use 30 units of wood, 30 units of fabric, and 10 units of stuffing. Loungers use 25 units of wood, 15 units of fabric, and 10 units of stuffing. Footstools use 20 units of wood, 5 units of fabric, and 5 units of stuffing. There are 1,380 units of wood, 890 units of fabric, and 450 units of stuffing available to make the items. Which three equations are needed to find the largest number of x chairs, y loungers, and z footstools that can be made? Drag and drop the correct equations into the box.
Answer:
30x+25y+20z=138030x+15y+5z=89010x+10y+5z=450Step-by-step explanation:
in this problem we are expected to formulate the constraints
let chairs, loungers and footstools be x, y and z respectively
1. For wood we have
30x+25y+20z=1380
2 . For fabric we have
30x+15y+5z=890
. For stuffing we have
10x+10y+5z=450
therefore the three equation are
30x+25y+20z=1380
30x+15y+5z=890
10x+10y+5z=450
Please help me I don’t get this
Sum of the interior angles of any triangle equal 180° .
Thus ;
[tex]x + 2x + x + 8 = 180[/tex]
[tex]4x + 8 = 180[/tex]
Subtract sides -8
[tex]4x + 8 - 8 = 180 - 8[/tex]
[tex]4x = 172[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{172}{4} \\ [/tex]
[tex]x = 43[/tex]
So the angles are :
x = 43°
2x = 2 ( 43 ) = 86°
x + 8 = 43 + 8 = 51°
Thus the order from least to greatest ,
is : 43° , 51° , and 86°
_________________________________
And we're done.....♥️♥️♥️♥️♥️
-5x – 4y = -8
Write a formula for f(x) in terms of x
5x+4y-8= 0
Step-by-step explanation:
Move the constant to the left change its sign
what value is equivalent to 8. 9 - 2 . 5
Answer:
6.4
Step-by-step explanation:
Hope this helps :)
find the equation of the linear function represented by the table below in slope- intercept form. picture below of the table
The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?
A. 36
B. 24
C. 48
D. 14
Answer:
C: 48
Step-by-step explanation:
1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48
Answer:
48 marbles, it's C
Step-by-step explanation:
why?
Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.
So you just get 1/6 to 6/6
so you do, 8*6 which equals to 48
