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
san4es73 [151]
3 years ago
9

Lee scored 91 points on a math testOn the next test, she scored 13 fewer pointsOn the third test, she scored 92What is the diffe

rence between Lee's highest and lowest scores?
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

14 points

Step-by-step explanation:

The second test Lee did was 13 points fewer than the first test, which was 91 points, so the second test's score is 91 - 13 = 78 points.

The third test had the score of 92, so this is the highest score, and the lowest score is the second one: 78 points.

The difference between Lee's highest and lowest scores is:

92 - 78 = 14 points

You might be interested in
Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
3 years ago
A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normal
GenaCL600 [577]

Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                         P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean income = \frac{\sum X}{n} = $4.70

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = $1.83

            n = sample of parking meters = 10

            \mu = population mean

<em>Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.262 < t_9 < 2.262) = 0.95  {As the critical value of t at 9 degrees of

                                            freedom are -2.262 & 2.262 with P = 2.5%}  

P(-2.262 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.262) = 0.95

P( -2.262 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu < 2.262 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.262 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.262 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-2.262 \times {\frac{s}{\sqrt{n} } } , \bar X+2.262 \times {\frac{s}{\sqrt{n} } } ]

                                         = [ 4.70-2.262 \times {\frac{1.83}{\sqrt{10} } } , 4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } } ]

                                         = [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error  =  2.262 \times {\frac{s}{\sqrt{n} } }

                                          =  2.262 \times {\frac{1.83}{\sqrt{10} } }  = <u>1.31</u>

4 0
3 years ago
The function h is defined as follows.
JulsSmile [24]

Answer:

The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.

y = a(x-h)2 + k            standard form

y = 5x2 - 4                  original equation

y = 5(x-0)2 - 4            re-written in standard form

h = 0     k = -4

Four (4) units up is k + 4--->-4 + 4 = 0.

Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.

Step-by-step explanation:

hope this helps

plz mark brainliest

3 0
2 years ago
What is the area of this polygon?
STatiana [176]
You can divide the polygon into a triangle (VMR) and rectangle(VEDR)
VE=5
VR=6
The area for VEDR would be:
area= VE*VR= 5*6= 30

triangle height=3
VR=6
The area for VMR
area= 1/2 * 3 * 6= 9

Total area= 30 + 9 = 39
5 0
2 years ago
The difference of r and 3 (what is an algebraic expression for the word phrase)
Juli2301 [7.4K]
The answer is r-3 or 3-r
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the length of the hypotenuse, x, if (12,35,x) is a Pythagorean triple
    11·1 answer
  • Marta is making two different charms for necklace one charm has a 1 cm diameter and a 3.14 cm circumference of a similar charm h
    13·1 answer
  • Round 7097284 to the nearest 10th of a million
    5·2 answers
  • Factor the trinomial below 14x2 - 39x - 35
    8·1 answer
  • Combine like terms.<br><br> -2x4+16+2x4+9-3x5
    15·2 answers
  • I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS!!!! <br> PLEASE ITS FOR A TEST!!!
    10·1 answer
  • Mark and Dennis help their grandfather make rootbeer. They need 4 pounds of sassafras to make one barrel of rootbeer, but they o
    15·2 answers
  • 6x+4=2 Whats the value of x?​
    9·2 answers
  • Complete the table below for the function y = 5x - 2.
    5·1 answer
  • Keller has $15 from babysitting. He spends $3 on a cat toy and
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!