Find the value of x and y? A) x=15 y=12 B) x=14 y=11 C) x=14 y=12 D) x=15 y=11

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple

andreev551 [17]

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

$a+o = 92$

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

$4a+2o = 284$

Hence,

The system of equations is:

$a+o = 92\\4a+2o = 284$

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Solve for x if EF = 2x + 7 and FG = 7x –9 help please I'll give brainliest

s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

$\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)$

AB = BC.... (given)

$\implies \frac{AB}{BC} = 1..... (2)$

From equations (1) & (2)

$1 =\frac{EF}{FG}$

${FG}={EF}$

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0

3 years ago

suppose there are 12 year,14 year,and 16 year cicadas that all appear this yest.after how many years will all three types of cic

nasty-shy [4]

We have to find LCM of 12,14,16

Refer to the attachment

LCM=2×2×2×2×3×7=16×21=336years

5 0

2 years ago

What is the value of the function y=4x-19 when x=-2.3? y=_____?

IRINA_888 [86]

$y=4x-19\\\\put\ the\ value\ of\ x=-2.3\ to\ the\ equation:\\\\y=4(-2.3)-19=-9.2-19=\boxed{-28.2}$

7 0

3 years ago