answer.
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
Soloha48 [4]
2 years ago
7

Renee, Susan, and Martha will share the cost to rent a vacation house for a week. ​Renee will pay 40% of the cost. Susan will pa

y 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost. Is Martha correct? Explain why or why not using mathematical evidence. The cost to rent a vacation house for a week is $850. How much will Renee, Susan, and Martha each pay to rent this house for a week
Mathematics
1 answer:
notsponge [240]2 years ago
5 0

Answer:

Martha is incorrect.

Amount paid by Renee = \$340

Amount paid by Susan = $297.5

Amount paid by Martha = \$212.5

Step-by-step explanation:

Given: ​Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.

To find: Is Martha correct?

To find: amount paid by each of Renee, Susan, and Martha

Solution:

Percentage of an amount paid by Renee = 40%

Percentage of an amount paid by Susan = 35%

So,

Percentage of an amount paid by Martha = 100-40-35=25\%

But Martha thinks she will pay 13 of the cost. So, she is incorrect.

Amount paid by Renee = \frac{40}{100}(850)=\$340

Amount paid by Susan = \frac{35}{100}(850)=\$297.5

Amount paid by Martha = \frac{25}{100}(850)=\$212.5

You might be interested in
You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a
Evgesh-ka [11]

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

<u>Price, 20% below of competitor's:</u>

  • $800 - 20% =
  • $800*(100-20)/100 =
  • $800*0.8 =
  • $640

Correct answer choice is b) $640

3 0
2 years ago
93 27 14 what is next in the sequence?
Assoli18 [71]

Answer:

4

Step-by-step explanation:

9×3=27

2×7=14

1×4=4

nice logic

6 0
2 years ago
A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st
maxonik [38]

Answer:

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

p_v =2*P(z>1.413)=0.158  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation  

\bar X=5.0611 represent the sample mean

\sigma=0.2803 represent the population standard deviation for the sample  

n=42 sample size  

\mu_o =5 represent the value that we want to test

\alpha=0.1 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is different from 5, the system of hypothesis would be:  

Null hypothesis:\mu = 5  

Alternative hypothesis:\mu \neq 5  

If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

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

z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>1.413)=0.158  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

8 0
2 years ago
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = 2(3.14)(3.3)(3.3+10)=275.63\ \text{ sq. cm}

<em>[π=3.14]</em>

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \pi r^2h

=(3.14)(3.3)^2(10)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0
2 years ago
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of
Svetradugi [14.3K]

Answer:

200 dollars,

I am assuming that your question goes like this: "Kiersten runs a website that helps people learn programming. Every month, Kiersten reveives a subscription fee of $10, $10 from each of the subscribers to her website. Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription. How much money will Kiersten's online business earn this month?

Step-by-step explanation:

Since her website had 100 subscribers last month, she earned $1000 (100 x 10). This month, 30 members joined and 10 members left, so in total, she gained 20 subscribers for a total of 120 subscribers this month. So she made 1200 dollars this month (100 x 120). She earned 200 more dollars this month since 1200-1000=20.

4 0
2 years ago
Other questions:
  • At the rate of $2.00 per square foot the cost of painting the rectangular board with a semicircular top shown in the figure is $
    8·2 answers
  • Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom ho
    12·2 answers
  • An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot
    5·1 answer
  • Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
    14·1 answer
  • at a supermarket , Monica paid 3.20 for 2 pounds of apples and 2 pounds of oranges, while Sarah paid 4.40 for 2 pounds of apples
    8·1 answer
  • A company manufactures two products X and Y. Each product has to be processed in three departments: welding, assembly and painti
    7·1 answer
  • A lock has two buttons: a "0" button and a "1" button.To open a door you need to push the buttons according to a preset 8-bit se
    13·1 answer
  • The number of pounds of dog food that a pet store has is represented by the equation y = negative 15 x + 430, where x represents
    13·2 answers
  • FILIPINO 10
    14·1 answer
  • The chart below shows one store’s sales of computers, listed by model. 2 circle graphs. A circle graph titled May. Poreg, 262; Q
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!