The temperature started at 87*F . If the temperature wen down 10*F and up 17*F, whats is the temperature?

Ben is decorating his home with vases of flowers. He bought glass vases that cost $22 each and ceramic vases that cost $14 each.

Evgen [1.6K]

Answer:

Step-by-step explanation:

x + y = 10

22x + 14y = 172

-22x - 22y = -220

22x + 14y = 172

-8y = - 48

y = 6 ceramic vases

x + 6 = 10

x = 4 glass vases

6 0

2 years ago

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The Fuschia Bot clicks ____ times in 0.75 sec, and its Unit Rate is 8 clicks per second. Find the number of clicks.

yan [13]

Answer: The Fuschia Bot clicks _6_ times in 0.75 sec,

Step-by-step explanation:

Multiply the unit rate by time:

.75 sec × 8 clicks/sec

Seconds cancel. .75(8) = 6 clicks

6 0

2 years ago

You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample

Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=160)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{160}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 1.96$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{1.96(160)}{78.4})^2 =16$

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And now we can replace the new value of Me and see what we got, like this:

$n=(\frac{1.96*160}{60})^2 =27.32$

And if we round up the answer we see that the value of n to ensure the margin of error required $Me=\pm 60$ $ is n=28.

5 0

2 years ago

Please help, its easy im just slow i need it done in 10 mins please help

saul85 [17]

Answer:they should have added 2 to 180, not 32

Step-by-step explanation:

3 0

2 years ago

How many times smaller is 4 x 10−7 than 3.5 x 10−4?

Tcecarenko [31]

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

<h3>What is the arithmetic operator?</h3>

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

7 0

1 year ago

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