1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Helga [31]
3 years ago
7

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended

warranty. If Daria sells 17 televisions with extended warranties, she earns $1,445. How much is the fixed amount Daria earns for each television?​
Mathematics
1 answer:
aliina [53]3 years ago
5 0
Answer: Daria earns a fixed amount of $55 for each​ television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each​ television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55
You might be interested in
What is factor form x^2-10x+25 show work
iogann1982 [59]

This trinomial is in a special form that can

be factored as the product of two binomials.

<h2>x² - 10x + 25</h2><h2 />

The first term in each binomial will be a factor of the x² term.

Since x² is just x · x, we use those as our first factors.

To factor this trinomial, we need factors of our constant that

add to the coefficient of the middle term in our trinomial.

So we're looking for factors of 25 that add to -10.

When your constant is positive and your middle term is negative,

you are going to use the negative factors of your constant term.

So the two numbers hat multiply to gives

us 25 and add to -10 are -5 and -5.

So our answer is (x - 5)(x - 5).

5 0
3 years ago
If measure of arc cr=130.how much is the measure of angle car?
LenaWriter [7]
The measure of angle CAR is 65 degrees!
6 0
3 years ago
The following data comparing wait times at two rides at Disney are listed below: Position Pirates Splash Mountain Sample Size 32
myrzilka [38]

Answer:

a) (14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968

(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788

b) t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10  

Step-by-step explanation:

Data given and notation

\bar X_{A}=14.68 represent the mean for Pirates

\bar X_{B}=18.77 represent the mean for Splash Mountain

s_{A}=11.87 represent the sample standard deviation for the sample Pirates

s_{B}=16.79 represent the sample standard deviation for the sample Slpash Mountain

n_{A}=32 sample size selected for Pirates

n_{B}=30 sample size selected for Splash Mountain

\alpha=0.02 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

Part a

The confidence interval would be given by:

(\bar X_A -\bar X_B) \pm t_{\alpha/2} \sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}

The degrees of freedom are given by:

df = n_A +n_B -2 = 32+30-2 = 60

Since we want 98% of confidence the significance level is \alpha =1-0.98 =0.02 and \alpha/2 =0.01, we can find in the t distribution with df =60 a critical value that accumulates 0.01 of the area on each tail and we got:

t_{\alpha/2}= 2.39

And replacing we got for the confidence interval:

(14.68 -18.77) - 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =-12.968

(14.68 -18.77) + 2.39 \sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}} =4.788

Part b

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the means are equal, the system of hypothesis would be:

Null hypothesis:\mu_{A} = \mu_{B}

Alternative hypothesis:\mu_{A} \neq \mu_{B}

the statistic is given by:

t=\frac{\bar X_{A}-\bar X_{B}}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{14.68-18.77}{\sqrt{\frac{11.87^2}{32}+\frac{16.79^2}{30}}}}=-1.10  

6 0
3 years ago
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa
tatuchka [14]

Answer:

Second puck travels farther

Step-by-step explanation:

Maximum height of first puck = 3 feet

The height of a second hockey puck is modeled by:

y=x\left(0.15-0.001x\right)

y=0.15x-0.001x^2

To find maximum height of second puck

y'=0.15-0.002x

Equate the derivative equals to 0

0.15-0.002x=0

\frac{0.15}{0.002}=x

75 = x

At x = 75

y=0.15(75)-0.001(75)^2=5.625

So, The maximum height of second puck is greater than  first puck

So, Second puck travels farther

5 0
3 years ago
Two numbers have a sum of -15 and a<br> product of -100. What are the numbers?
Bumek [7]

Answer:

the numbers are -20 and 5

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The sum of the first 3 terms of an arithmetic sequence is 21,while their product is 315.determine these 3 terms
    13·2 answers
  • 50 POINTS!<br><br> Which statement best explains whether △ABC is congruent to △DEF?
    11·2 answers
  • The mean of 6 numbers is 3 the median is 6. List the numbers
    9·1 answer
  • A square field has an area of 479 ft to the second power what is the approximate length of a side of the field
    11·1 answer
  • N divided by 100 = 7.6
    10·1 answer
  • How many feet are in a yard
    8·2 answers
  • Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .
    10·1 answer
  • PLS HELP TeST ILL GIVE BRAINLiest
    11·2 answers
  • It rained 1.01 inches, but 0.018 of the rain evaporated, how much rain would be left? Explain your answer.
    6·1 answer
  • For each graph,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!