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
11Alexandr11 [23.1K]
3 years ago
13

Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.​

Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3

You might be interested in
(02.04 LC)
Georgia [21]

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

7 0
1 year ago
A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.
VladimirAG [237]

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

8 0
3 years ago
Using exact values (e.g. 10+4π), find the area of the following composite shape:
Angelina_Jolie [31]

Answer:

12 - (⅛)π cm²

Step-by-step explanation:

Rectangle + circle - semicircle

(4 × 3) + (pi × 1²) - ½(pi × 1.5²)

12 + pi(1 - 9/8)

12 - (⅛)π

3 0
2 years ago
. A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age
Setler [38]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : \mu=25

Standard deviation : \sigma=3.2

Sample size : n=50

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 24

z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.21

The p-value = P(z\leq-2.21)= 0.0135526\approx0.0136

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

3 0
3 years ago
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

Z = \frac{X - \mu}{\sigma}

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
2 years ago
Other questions:
  • Can I get some help? It would be really nice if you can!
    12·1 answer
  • Which properties justify the steps taken to solve the system?
    10·1 answer
  • Verify sin(360º - θ)= -sin θ<br> Show your work
    5·2 answers
  • Please help I'm struggling​
    5·1 answer
  • How do we find an equation of a linear function by giving two<br> points
    6·1 answer
  • Micah has a loan of $6,720. This loan has a simple interest rate of 3.5% per year. What is the amount of interest that Micah wil
    6·1 answer
  • I really really need help
    12·1 answer
  • A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.
    6·1 answer
  • A shopper purchased 4 boxes of sugar and 3 boxes of coffee for $40.75. Another shopper purchased 1 box of sugar and 4 boxes of c
    8·1 answer
  • Can someone help me solve this please
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!