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
balu736 [363]
3 years ago
9

in a survey four out of seven people named blue as their favorite color. One out of three named red.If 1,092 people were include

d in the survey how many named neither blue nor red as their favorite color.
Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer: There are 312 people who named neither blue nor red as their favorite color.

Step-by-step explanation:

Since we have given that

Total number of people who are surveyed = 7

Number of people who named blue as their favorite color = 4

According to question, one out of three named 'red'.

So, Out of seven people , number of people who named neither blue nor red as their favorite color is given by

7-(4+1)=7-5=2

There if there are 1092 people who were included in the survey , then we need to find the number of people who named neither blue nor red as their favorite color.

\frac{2}{7}=\frac{x}{1092}\\\\x=\frac{2\times 1092}{7}\\\\x=312

Hence, there are 312 people who named neither blue nor red as their favorite color.

You might be interested in
Plot the data for the functions f(x) and g(x) on a grid
wariber [46]
The graph (by some miracle) has been uploaded for you. It is just about the first time I've done this sort of thing, and I've answered nearly 800 questions. 

The first thing you have to do is study the graph. The two functions are
f(x) = 4^x That's the curved graph. (in red)
g(x) = x + 4. That's the straight line. (in blue)

You know that the first one is not a linear relationship because the x values go from integer values -2 to 2 (including 0). The y values are a bit different. They go from 1/16 to 16 with those integer values. So you could try y = 4^(-x). It doesn't work, but you could try it. It gives the table numbers for y in the reverse order that the table you are given goes. For x you get -2 -1 0 1 2 and for y you would get 16 4 1 1/4 1/16.

You could try y = (1/4)^x
For this try, you would get x = -2 -1 0 1 2 and for y = 16 4 0 1/4 and 1/16 
but that doesn't work either.

You could try until you get y = 4^x which does work.

g(x) is a lot easier to deal with. It looks better behaved. as x goes up, so does y. You will find that the y values obey y = x + 4. You could try other lines, but that one works. Many times it's just a guess

7 0
3 years ago
In tests of a computer component, it is found that the mean time between failures is 937 hours. A modification is made which is
VladimirAG [237]

Answer:

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Test Statistics z = 2.65

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

P- value = 0.004025

Step-by-step explanation:

Given that:

Mean \overline x = 960 hours

Sample size n = 36

Mean population \mu = 937

Standard deviation \sigma = 52

Given that the mean  time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Degree of freedom = n-1

Degree of freedom = 36-1

Degree of freedom = 35

The level of significance ∝ = 0.01

SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;

from t-table t(0.99,35), the critical value = 2.438

The test statistics is :

Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}

Z = \dfrac{960-937 }{\dfrac{52}{\sqrt{36}}}

Z = \dfrac{23}{8.66}

Z = 2.65

The decision rule is to reject null hypothesis   if  test statistics is greater than  critical value.

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

The P-value can be calculated as follows:

find P(z < - 2.65) from normal distribution tables

= 1 - P (z ≤ 2.65)

= 1 - 0.995975     (using the Excel Function: =NORMDIST(z))

= 0.004025

6 0
3 years ago
Write the domain and rang of h using interval notation
34kurt

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

3 0
2 years ago
Educators should ensure math instruction is only taught through structured activities rather than through everyday situations an
jok3333 [9.3K]

The statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

<h3>Ways to improve mathematics education</h3>

They include;

  • Using hands-on learning methods
  • Using visuals
  • Integration of mathematics game
  • Connecting math concepts to everyday life
  • Allow students to explain their reasoning
  • Rewarding students progress

Thus, the statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

Learn more about early childhood education here:

https://brainly.in/question/7275502

#SPJ1

6 0
2 years ago
What happens to ice as it melts
Ludmilka [50]
It becomes a liquid
hope this helped
3 0
3 years ago
Read 2 more answers
Other questions:
  • two families go to a theatre. the smith family three adults and four children pays £67. the jones family five adults and six chi
    9·1 answer
  • What would a persons speed if they travelled 394 meters in 94 seconds?
    15·1 answer
  • Solve the equation to find the value of x. 8.35x-1.5=71.98
    15·2 answers
  • What is the answer 5x5
    11·2 answers
  • Please help me with this math problem, urgent please
    13·2 answers
  • Someone please help me will give BRAILIEST!!!!!
    9·2 answers
  • a farmer planted 1/8 of his land with beans 1/4 with corn 3/10 with wheat and left the rest unplanted what percentage of his lan
    12·1 answer
  • Cassie earned $40 in July. She earned $48 in August..
    15·2 answers
  • 3x= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align="absmi
    9·1 answer
  • Write an equation of the line in point-slope form that passes through the given points.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!