Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. How many free throws did she make? How many 2-point field goals did she make?

12 free throws
Answer: x = free throws and y = field goals

x + y = 23....x = 23 - y
x + 2y = 34

23 - y + 2y = 34
-y + 2y = 34 - 23
y = 11.....so she made 11 field goals

x + y = 23
x + 11 = 23
x = 23 - 11
x = 12...and she made 12 free throws

Related Questions

Which inequalities are equivalent to r + 45 < 16? Check all that apply.r + 45 < 16 - 45
r + 45 – 16 < 16 – 16
r + 45 + 3 < 16 + 3
r + 45 - 16 < 16
r + 45 - 45 < 16 - 45

Which inequalities are equivalent to r + 45 < 16? Check all that apply.

✅r + 45 – 16 < 16 – 16

✅ r + 45 + 3 < 16 + 3

✅r + 45 - 45 < 16 - 45

the last option I'm thinking, hope this helps

An architect uses a scale of 3 4 inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24 feet long, how long (in inches) will the line be on the blueprint?

The length of the line on the blueprint of the wall will be 18 inches.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

An architect uses a scale of 3/4 inches to represent 1 foot on a blueprint for a building.

Then the scale factor of the blueprint will be

Scale factor = 3/4 inches per foot

If the east wall of the building is 24 feet long.

Then the length of the line on the blueprint of the wall will be

Length = 24 feet x scale factor

Length = 24 x (3/4)

Length = 6 x 3

Length = 18 inches

Thus, the length of the line on the blueprint of the wall will be 18 inches.

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16 in.

Step-by-step explanation:

We have the ratio

How about let's make this easier.  Easier is better, right?  Let's get rid of the fraction 2/3.  We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

Now we need to know how many inches there would be if the number of feet is 24:

Cross multiply to get

3x = 48 so

x = 16 in.

Statistical techniques are classified into two major categories: descriptive and inferential. Describe the general purpose of each category. A-The purpose of (1)inferential (2)descriptive statistics is to simplify the organization and presentation of data.
B-The purpose of (1) inferential (2) descriptive statistics is to use the limited data from a sample as the basis for making general conclusions about the population.

A-The purpose of  (2)descriptive statistics is to simplify the organization and presentation of data.

B-The purpose of (1) inferential statistics is to use the limited data from a sample as the basis for making general conclusions about the population.

Step-by-step explanation:

The descriptive statistics is used to make large data presentable into usable short forms, without which it would look impossible to solve. We draw a sample from the population and find its mean or draw histograms for the frequency distributions. This is descriptive statistics.

The inferential statistics is used to make inferences and conclusions from limited data given from a population. We do the hypothesis testing for the random samples obtained from larger populations. The hypothesis tests or the confidence intervals help us decide whether the rseults are accepted or not.

Descriptive statistics is used to summarize and organize data from a sample, such as providing the average or frequency of a variable. Inferential statistics, on the other hand, uses this sample data to make broad generalizations about the population.

Explanation:

The two major categories of statistical techniques are inferential statistics and descriptive statistics. The general purpose of descriptive statistics is to simplify the organization and presentation of data. They provide simple summaries about the sample and the measures. For example, we may want to know the average, maximum, minimum, or frequency of some variable.

On the other hand, inferential statistics involve using the limited data from a sample as the basis for making general conclusions about the population. They also include the theory of hypothesis testing, which is a method for testing statistical results. For example, inferential statistics would be used to determine if a difference observed between groups is a real one or if it might have happened by chance in this study.

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D(n)=8−6(n−1) What’s the 6th term

D(n)=8−6(n−1).    The 6th term is found by subbing 6 for n in this formula:

D(6)=8−6(6−1) = 8 - 6(5) = 8 - 30 = -22 (answer)

5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) what is the probability that the length of this component is between 4.98 and 5.02 cm

the probability that  he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

Step-by-step explanation:

Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:

Z= (X- μ)/σ

where μ= mean of X  , σ= standard deviation of X

for a length between 4.98 cm and 5.02 cm , then

Z₁= (X₁- μ)/σ =  (4.98 cm - 5 cm)/0.02 cm = -1

Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1

therefore the probability that the length is between 4.98 cm and 5.02 cm is

P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)

from standard normal distribution tables we find that

P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)

therefore the probability that  he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

A computer processes jobs on a first-come, first served basis in a time-sharing environment. The jobs have Poisson arrival rates average 0.6 jobs per minute. The objective in processing these jobs is that they spend no more than 5 minutes, on average, in the system. Assuming exponential service times, how fast does the computer have to process jobs (in minutes), on average, to meet this objective

0.8 minutes

Step-by-step explanation:

From the given information:

The arrival time for the jobs to the computer obeys a Poisson distribution;

Thus, the arrival rate is:

Assuming the average time spent on the jobs in the system is denoted by:

The average time a job process in the system can be expressed as follows:

From above formula:

service rate

arrival rate

replacing the values;

Open brackets

0.8 minutes