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
lora16 [44]
3 years ago
8

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least

50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"? 4x + 8y < 50 4x + 8y ≤ 50 4x + 8y  > 50 4x + 8y ≥ 50
Mathematics
2 answers:
loris [4]3 years ago
7 0
The answer is <span>4x + 8y ≥ 50 </span>
Rus_ich [418]3 years ago
4 0
<h3><u>Answer:</u></h3>

Hence, the inequality that will represent the marks he needs  is:

4x+8y≥50

<h3><u>Step-by-step explanation:</u></h3>

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points.

Lorenzo needs at least 50 points on the final to earn a "B" in the class.

Let x be the number of correct multiple-choice questions, and y, the number of correct word problems.

Hence, the inequality that will represent the marks he needs  is:

4x+8y≥50

You might be interested in
Together, teammates pedro and ricky got 2671 base hits last season. pedro had 277 more hits than ricky. how many hits did each p
skad [1K]
Ricky got 1.058 hits, and Pedro got 1,612 hits.
5 0
3 years ago
christy uses glass beads to make braclets and necklances it takes her 30 minutes to make a bracelet and 45 minites to make a nec
shtirl [24]

Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his​ profit?</h3>

The given parameters can be represented in the following tabular form:

                       Bracelet (x)    Necklace (y)    Total              

Labor (hour)        0.5                       0.75         40

Profit                    10                         18

From the above table, we have the following:

Objective function:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

Because she wants to make at least 30 bracelets, we have:

x >= 30

So, we have:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

x >= 30

Express x >= 30 as equation

x = 30

Substitute x = 30 in 0.5x + 0.75y <= 40

0.5 * 30 + 0.75y <= 40

This gives

15 + 0.75y <= 40

Subtract 15 from both sides

0.75y <= 30

Divide by 0.75

y <= 40

Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

Read more about maximizing profits at:

brainly.com/question/13799721

#SPJ1

4 0
1 year ago
Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cooki
Inessa05 [86]

Answer:7/25 × 5/24

Step-by-step explanation:

7 oatmeal 25 all together

Then 5 peanut butter 24 left since he ate one

7 0
3 years ago
5n - 2 = 6r + 5<br> What is n
Zina [86]
It would like this for solving n

6 0
3 years ago
A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat
Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

Step-by-step explanation:

1) Data given and notation

s^2 =16 represent the sample variance

s=4 represent the sample standard deviation

\bar x represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

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 mean or variance 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.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=20-1=19

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

\chi^2_{\alpha/2}=36.191

\chi^2_{1- \alpha/2}=7.633

And replacing into the formula for the interval we got:

\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}

8.400 \leq \sigma^2 \leq 39.827

So the 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

7 0
3 years ago
Other questions:
  • Five multiples of 3 that are not in the product game board
    9·1 answer
  • What is the value of x?
    9·1 answer
  • F(t)=3t^2-2 , find f(k-2)
    15·1 answer
  • Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. H
    5·2 answers
  • 4n + 3 &lt; 6n + 8 - 2n<br><br> Pls solve in steps
    6·1 answer
  • I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of t
    10·1 answer
  • Which value from the set {5, 10, 15, 50} makes k/5 = 10 true?
    11·1 answer
  • Which fraction can be replaced with 0 when estimating with fractions?
    14·2 answers
  • 1/2 as long as 6 meters
    14·1 answer
  • Can someone please answer this question? Someone answered and they deleted their answer, so I need someone else to help me!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!