Answer:
The rate is $2.5
Step-by-step explanation:
Given that the expression for the pay of employee is given as
P(b) = 5/2b + 45
we can simplify the fraction and write it as decimal as
P(b) = 2.5b + 45
This means that the employees have a fixed pay of $45
and also a rate of $2.5 per peaches picked
therefore the answer is A. $2.5
The rate is $2.5
In ΔCDE, \text{m}\angle C = (x-4)^{\circ}m∠C=(x−4) ∘ , \text{m}\angle D = (11x-11)^{\circ}m∠D=(11x−11) ∘ , and \text{m}\angle E = (x+13)^{\circ}m∠E=(x+13) ∘ . Find \text{m}\angle C.m∠C.
Answer:
The measure of C is 10°
Step-by-step explanation:
In a triangle CDE, its internal angles are given:
C=x-4
D=11x-11
E=x+13
Since the sum of the internal angles of a triangle is 180°:
x-4+11x-11+x+13=180
Simplifying:
13x-2=180
Adding 2:
13x=182
Solving:
x=182/13
x=14°
The measure of the angles is:
C=x-4 =10°
D=11x-11=143°
E=x+13=27°
The measure of C is 10°
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.....♥️♥️♥️♥️♥️
What is the next three terms for 7, 21, 63
Answer:
189, 567, 1701
Step-by-step explanation:
multiply each term by 3.
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)
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.
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
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
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.
find the equation of the linear function represented by the table below in slope- intercept form. picture below of the table
List and give the meaning of the y-intercept in this problem
Answer:
The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes
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
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
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
MATCH THE CORRECT ONE PLEASE HELP
Answer:
same side interior for 2 and 6 i think
The radius of a semicircle is 2 yards what is the semicircle’s perimeter
Taminka received a raise in her hourly pay, from $13.50 to $14.99. Find the percent change. Round to the nearest percent.
Answer:
[tex]\% = 11\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = \$13.50[/tex]
[tex]Final = \$14.99[/tex]
Required
Determine the percentage change
This is calculated as:
[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]
[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]
[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]
[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]
[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]
[tex]\% = \frac{149\%}{13.50}[/tex]
[tex]\% = 11.037037037\%[/tex]
[tex]\% = 11\%[/tex]
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:
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?
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]
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]
Why do we study?give me reason
Answer:
Simple to help us improve our lives
Answer:
To do good in school
Step-by-step explanation:
the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.
PLEASE HELP I AM STUCK
12,049=-58,642+y
Answer:
70,691
Step-by-step explanation:
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
-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
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.
Help me please is the math
Answer:
2nd) which is 4 multiplied by 5 multiplied by 2
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 minutersYou are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
I need help asap with my math
Answer:
The first and the third one are correct.
Step-by-step explanation:
Answer: 1 & 3 are proportional relationships
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.
