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
adoni [48]
1 year ago
13

Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x

+ 2x + 5 = 62, where x is Jenny’s age. Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is . So, Jenny is years old and her mother is years old.
Mathematics
1 answer:
Salsk061 [2.6K]1 year ago
8 0

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

1. Plug in the first value of the set

41 is different from 62, so Jenny isn´t 12 years old.

2. Plug in the second value of the set

50 is different from 62, so Jenny isn´t 15 years old.

3. Plug in the third value of the set

59 is different from 62, so Jenny isn´t 18 years old.

4. Plug in the fourth value of the set

Therefore Jenny´s 19 years old.

5. Calculate Jenny´s mother age:

As the sum of their ages is 62 ages, we have the following equation

where

x=Jenny´s age

y=Jenny´s mother age

Therefore Jenny's mother age is 43 years old.

pls mark me brainliest

You might be interested in
A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and use
tankabanditka [31]

Answer:

9

Step-by-step explanation:

<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.

The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily.  Therefore in this situation, there are 10-1=9 degrees of freedom

3 0
2 years ago
A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates w
sveta [45]

Answer:

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion for business  

\hat p_A =\frac{75}{400}=0.1875 represent the estimated proportion for Business

n_A=400 is the sample size required for Business

p_B represent the real population proportion for non Business

\hat p_B =\frac{137}{500}=0.274 represent the estimated proportion for non Business

n_B=500 is the sample size required for non Business

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

7 0
1 year ago
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue candle is 6 inches tall and burns at a rate of 1
kogti [31]

Answer:

The heights are the same after 4 hours.

Step-by-step explanation:

The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.

The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.

You need to find the time, t, when their heights are equal.

8 - (7/10)t = 6 - (1/5)t

Multiply both sides by 10 (the LCD).

80 - 7t = 60 - 2t

-5t = -20

t = 4

The heights are the same after 4 hours.

3 0
2 years ago
One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?
Bond [772]

Answer:x=5

Step-by-step explanation: x^2−2x−15=0

(x−5)=0                                                                                                                        x−5=0                                                                                                                           x=5

6 0
2 years ago
Kourtney and Kayla are sisters who are taking the same classes this semester: MAT 003, CHM 131/3131A, and ACA 122. if kourtney e
qaws [65]

Answer: A.3.5

Step-by-step explanation: because i said

8 0
2 years ago
Other questions:
  • write five numbers that are at least 8 digits long under standard form write the expanded form and the word form for each number
    14·2 answers
  • Mr.Chan made 252 cookies for the Annual Fifth Grade Bake Sale. They sold 3/4 of them, and 3/9 of the remaining cookies were give
    15·1 answer
  • gia got some books from the library yesterday. she got five books after returning three. Gia now has six books. how many library
    13·2 answers
  • Need help pretty please
    12·1 answer
  • A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw
    12·1 answer
  • Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same re
    13·1 answer
  • The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i
    9·1 answer
  • The system of equations
    8·1 answer
  • Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 ti
    5·1 answer
  • A store purchased a digital camera and marked it up 100% from the original cost of $863.57. A week later, the store placed the d
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!