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
Rashid
5 days ago
8

Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages beco

me equal. What are their present ages?
Mathematics
1 answer:
PIT_PIT [11.1K]5 days ago
8 0

Answer:

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

Step-by-step explanation:

Based on the fact that Seymour’s age is double that of Cassandra. If 16 is added to Cassandra’s age and 16 is deducted from Seymour’s age, both will be of the same age.

We need to determine their current ages.

Let Cassandra's current age be x years

Given that Seymour is twice as old as Cassandra

Thus, Seymour's current age=2x years

According to the problem, if 16 is added to Cassandra's age and 16 is subtracted from Seymour's age, their ages will equal each other.

⇒ x+16=2x-16

2x-x=16+16

x=32 yrs

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

You might be interested in
Traveling at 65 mph how many feet can you travel in 22 minutes?
AnnZ [10979]
Treat 65 mph as a constant velocity for the purpose of this calculation. By dividing 65 by 60 you find how many miles are covered each minute. That equals 1.083333 miles per minute. Which converts to about 5720 feet each minute. (This comes from multiplying 1.083333 by 5280, the number of feet in a mile). Multiplying 5720 by 22 minutes yields 125,840 feet.

Hope this is helpful!
6 0
1 month ago
Read 2 more answers
Data were collected on two variables, x and y, to create a model to predict y from x. A scatterplot of the collected data reveal
Leona [11195]

Answer:

B - Taking the cube root of y

Step-by-step explanation:

The information provided is:

y = ax^3

Using that information

we now find the cube root of y

The computation is as follows:

y1/3 = a1/3 × x

Thus

From the above equation, a linear relationship can be observed between the cube root of y and x.

Consequently, option B is the correct choice.

Therefore, the other options are incorrect.

4 0
1 month ago
Suppose a given control unit fails, on average, every 12,000 hours. It takes an average of 900 hours to repair and reboot this u
Zina [11216]

Answer:

To enhance availability by 5%, the downtime due to repairs or reboots needs to drop by 600 hours

Step-by-step explanation:

Increasing availability to 5% involves multiplying the current availability hours by 105%.

Thus, 1.05 × 12000 = 12600 hours

Consequently, the repair/reboot duration must be lessened by 600 hours.

4 0
18 days ago
One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
babunello [10289]

Answer:

Step-by-step explanation:

Hello!

To determine whether boys excel in math classes compared to girls, two random samples were collected:

Sample 1

X₁: score achieved by a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: score obtained by a girl in calculus

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate a confidence interval for the difference between the average percentages of boys and girls in calculus, it's essential that both variables come from normally distributed populations.

For utilizing a pooled variance t-test, it is also required that the population variances, though unknown, are assumed to be equal.

The confidence interval can then be calculated with:

[(X[bar]_1 - X[bar]₂) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3 - 81.2) ± 1.708 * (6.11 * \sqrt{\frac{1}{15}+\frac{1}{12} }]

[-2.94; 5.14]

Using a 90% confidence level, the interval [-2.94; 5.14] is expected to encompass the true difference between the average percentages achieved by boys and girls in calculus.

I hope this is of assistance!

3 0
1 month ago
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o
Svet_ta [11363]
It doesn't matter what step is taken first. Either choice will result in zero pairs being created on both sides, which helps isolate the variable x. Whether you start with the x-tiles or the unit tile, the solution will be the same.
4 0
1 month ago
Read 2 more answers
Other questions:
  • A sample of 75 information systems managers had an average hourly income of $40.75 with a standard deviation of $7.00. The 95% c
    14·1 answer
  • All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that rep
    8·2 answers
  • If the temperature decreases by 2 degrees per 1000 feet of gained altitude and if the temperature at sea level is 25 degrees wha
    10·1 answer
  • Tia shares 53 balloons equally among 4 children. How many balloons will be left over?
    13·1 answer
  • Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea
    7·1 answer
  • G = x-c/x solve for x
    14·2 answers
  • Based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points) graph of function f of x equals 4 times
    15·1 answer
  • In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of s
    7·2 answers
  • Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy
    8·2 answers
  • What is 5.8 x 10^6 seconds in minutes?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!