Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x

Grace claims that the interquartile range of a data set is never equal to its range. Which type of set can be used to prove or d

babunello [11817]

It could be either C or D, but I think C is the correct choice.

6 0

3 months ago

Read 2 more answers

Jai Narayan sells two radio sets for 2288 each.

tester [12383]

Answer:

1%

Step-by-step explanation:

The selling price for each radio is $2288.

Total selling price is $2\times 2288=$ $4576.

Profit is 10%.

Loss is also 10%.

Cost price= $\frac{S.P\times 100}{100+gain(in\;percent)}$

Cost price= $\frac{S.P\times 100}{100-loss(in\;percent)}$

Utilizing the formula,

Cost price of the first radio is $\frac{2288\times 100}{110}=$ $2080.

Cost price of the second radio is $\frac{2288\times 100}{100-10}$ =$2542.2.

The combined cost price for both radios totals 2080+2542.2=$4622.2.

Total cost price exceeds total selling price.

Loss equals selling price minus cost price.

Loss is calculated as 4622.2-4576=$46.2.

Loss%= $\frac{Loss}{C.P}\times 100$

Loss percentage is $\frac{46.2}{4622.2}\times 100=$ 1%.

Thus, the loss is 1%.

5 0

3 months ago

In a sample of 88 adults selected randomly from one town, it is found that 6 of them have been exposed to a particular strain of

tester [12383]

Response with clarification:

Let p denote the proportion of adults in the town who have encountered this flu strain.

According to the provided information

$H_0:p=0.08\\\\ H_a: p\neq0.08$

∵ $H_a$ this is a two-tailed test.

Test statistic:

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= denotes the population proportion

${\hat{p}$ = signifies the sample proportion

n= represents the sample size

Setting n= 6 and ${\hat{p}=\dfrac{6}{88}\approx0.068$ and p=0.08

$z=\dfrac{0.068-0.08}{\sqrt{\dfrac{0.08(1-0.08)}{88}}}$

$z=\dfrac{-0.012}{0.0289199522192}\approx-0.415$

P-value for the two-tailed test:[2P(Z>|z|)

=2P(Z>|-0.415|)

=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]

=2(1-0.6609) [from the z-table]

=0.6782

Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.

This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.

8 0

1 month ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa

lawyer [12517]

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = $\frac{1}{3}$ (x+2)

and g(x) = $\frac{1}{3}$ (x+5)

Substituting f(x) and g(x) into equation (1):

→ $\frac{1}{3}$ (x+5) = $\frac{1}{3}$ (x+2) + k

→ $\frac{1}{3}[x+5-x-2]$ = k

→ k = $\frac{1}{3} \times 3=1$

Thus, the value of k is 1.

7 0

3 months ago

Find the distance between the points L(7,−1) and M(−2, 4).

Leona [12618]

The precise distance between the two points is calculated to be 10.

8 0

2 months ago

Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6

Response with clarification: