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Solve for x: 1 < x + 3 < 4

please help

Answers

Answer 1
Answer:

Answer:

Its c

Step-by-step explanation:

i took the test

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Please help me I’m so confused

Answers

Given:

The given expression is \sum_(1)^(10) 4\left((1)/(4)\right)^(n-1)

We need to evaluate the given expression.

Solution:

The given expression is in the form of general form of geometric sequence a_n=ar^(n-1)

The common ratio is r=(1)/(4) and the first term is a = 4.

The formula to find the sum of the series is given by

S_n=a((1-r^(n))/(1-r))

Substituting n= 10, a = 4 and r=(1)/(4) , we get;

S_(10)=4 \cdot (1-\left((1)/(4)\right)^(10))/(1-(1)/(4))

S_(10)=4 \cdot (1-(1)/(1048576))/(1-(1)/(4))

S_(10)=4 ( ((1048575)/(1048576))/((3)/(4)))

S_(10)=4 ( (1048575)/(1048576) * {(4)/(3))

S_(10)= (16777200)/(3145728)

S_(10)=5.33

Thus, the sum of the 10 terms is 5.33

Which expressions are equivalent to 6 +(-x) + 2x + (-7)+ 2x? Check all that apply.
x + x + 6 - 7 + x
2x+2+x
3- X + 2x - 4 + 2x
X-1
X+1

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

A-     x + x + 6 – 7 + x

C-      3 – x + 2x – 4 + 2x

Step-by-step explanation:

EDG2021

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces.
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.

Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.

Calculate the P-Value.

Answers

Answer:

P-value = 0.4324

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8 ounces

Sample mean, \bar{x} = 7.983 ounces

Sample size, n = 48

Population standard deviation, σ = 0.15 ounces

First, we design the null and the alternate hypothesis

H_(0): \mu = 8\text{ ounces}\nH_A: \mu \neq 8\text{ ounces}

We use Two-tailed z test to perform this hypothesis.

Formula:

z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }

Putting all the values, we have

z_(stat) = \displaystyle(7.983 - 8)/((0.15)/(√(48)) ) = -0.7851

Now, we calculate the p-value with the help of standard normal z table.

P-value = 0.4324

There are 7 bananas, 10 oranges, and 5 apples and 5 apples in the fruit bowl. What is the ratio of bananas to fruit?

Answers

Answer:

5:27

Step-by-step explanation:

To construct a confidence interval using the given confidence​ level, do whichever of the following is appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical value t Subscript alpha divided by 2​, or​ (c) state that neither the normal nor the t distribution applies. 95​%; nequals200​; sigma equals 19.0​; population appears to be skewe

Answers

Answer:

The correct option is (a).

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and take appropriately huge random-samples (n > 30) from the population with replacement, then the distribution of the sample- means will be approximately normally-distributed.

Then, the mean of the sample means is given by,

\mu_(\bar x)=\mu

And the standard deviation of the sample means is given by,

\sigma_(\bar x)=(\sigma)/(√(n))

The information provided is:

n = 200

σ = 19.0

Population is skewed.

As the sample selected is quite large, i.e. n = 200 > 30 the central limit theorem can be used to approximate the distribution of the sample mean by the normal distribution.

So, \bar X\sim N(\mu, (\sigma^(2))/(n)).

Then to construct a confidence interval for mean we will use a z-interval.

And for 95% confidence level we will compute the critical value of z, i.e. z_(\alpha/2).

Thus, the correct option is (a).

9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M. a. What expression represents the change in temperature for City A? b. What integer represents the change in temperature for City A? c. What expression represents the change in temperature for City B? d. What integer represents the change in temperature for City B? e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.​

Answers

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

What is temperature?

The degree of hotness or coldness of an object is called as temperature.

Now it is given that,

In City A,

rise in temperature from 8 am to  9 am = 9°F

drop in temperature from 9 am to  10 am = 8°F

In City B,

drop in temperature from 8 am to  9 am = 1°F

drop in temperature from 9 am to  10 am = 3°F

a.The expression for temperature change in City A

rise in temperature =  +9°F

drop in temperature = -8°F  

∴the expression for change in temperature for City A = 9 + (-8)

b.The amount the temperature changes for City A = 9 + (-8)= 1°F

c.The expression for temperature change in City B

drop in temperature = -1°F

drop in temperature = -3°F  

∴the expression for change in temperature for City A = -1 + (-3)

d.The amount the temperature changes for City B = -1 + (-3)= -4°F

Hence,the required answers are,

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

More about temperature change :

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