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
Ugo [173]
3 years ago
5

A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees

Fahrenheit. Write an equation to represent the minimum and maximum actual temperatures when the thermometer states that the temperature is 87.4 degrees Fahrenheit.
Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:

The equation is;

T = 87.4 ± 1.5

Maximum value of T = 88.9 °F

Minimum value of T = 85.9 °F

Step-by-step explanation:

We are given the stated temperature as 87.4 °F

Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.

Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.

Thus the equation is;

87.4 ± 1.5 = T

So maximum value of T = 87.4 + 1.5 = 88.9 °F

While minimum value of T = 87.4 - 1.5 = 85.9 °F

You might be interested in
What is 2/3 divided by 1/2
Karo-lina-s [1.5K]
If you would like to divide 2/3 by 1/2, you can do this using the following step:

2/3 / 1/2 = 2/3 * 2/1 = 4/3 = 1 1/3

The correct result would be 1 1/3.
8 0
4 years ago
Read 2 more answers
g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

What is the probability that at least one of the births results in a defect?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
Please help with this math problem! I am giving brainliest! :)
lara31 [8.8K]

Answer: Heyy BFF The Answer is x= -8 or x=10

Step-by-step explanation: Stay Sliving ❤️

7 0
3 years ago
F(x)=2x^2-3x+7 evaluate f(-2)
Vilka [71]

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

6 0
3 years ago
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
scoundrel [369]

Answer:

x\sqrt{6y}/ 3y^{2}

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Find the equation of the line with slope 6 which goes through the point (8,1).
    8·1 answer
  • The opening course of the Dog Olympics involves the dogs running over a parabolic
    11·1 answer
  • What is the slope of this graph?<br> a. 4<br> b. -4<br> c. -1/4 <br> d. 1/4
    7·1 answer
  • A contestant on a game show has 30 points. She answers a question correctly to win 15 points. Then she answers a question incorr
    7·2 answers
  • The solution set of an equation of a circle is all of he points that lie on the circle.
    8·2 answers
  • Social security is a payment from _____.
    15·2 answers
  • Write 7x-y=8 in the form of y=my+b
    10·1 answer
  • I need help please!:D
    10·1 answer
  • Pazonian packing up a little
    5·2 answers
  • Solve, (you can use long division if needed) &lt;3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!