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2 years ago

Mike drinks three 12-ounce servings of sweet tea per day.

Mathematics

1 answer:

Nat2105 [25]2 years ago

5 0

Answer:

2 and a half cup

Step-by-step explanation:

A detailed look at the image attached will provide further explanation.

You might be interested in

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?

Answer:

The value is $x = \$31.986$

Step-by-step explanation:

From the question we are told that they paid master's graduates more than 90% of all

Generally from the z-table the z-score for 90% is $z = 1.282$

This z-score can be mathematically represented as

$z = \frac{x - \mu }{\sigma}$

Here x is the hourly wage they offer employees with master's degrees

substituting $27.50 for $\mu$ and $3.50 for $\sigma$ we have

$1.282 = \frac{x - 27.50 }{3.50}$

=> $x = \$31.986$

3 0

2 years ago

In the diagram below, Bonnie claims that ΔMLV ≅ ΔRLT.

nevsk [136]

∠ M ≅ ∠ R: true

VL ≅ LT: true

Δ MLV can be rotated about point L to map it to Δ RLT. : false

A series of rigid transformations of Δ MLV maps it to Δ RLT. : true

3 0

2 years ago

Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st

Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)

b) n=523 rounded up to the nearest integer

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X=530$ represent the sample mean for the sample

$\mu$ population mean

s=70 represent the sample standard deviation

n=48 represent the sample size (variable of interest)

Confidence =95% or 0.995

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are df=n-1=48-1=47

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,47)".And we see that $z_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$530-2.01\frac{70}{\sqrt{48}}=509.692$

$530+2.01\frac{70}{\sqrt{48}}=550.308$

So on this case the 95% confidence interval would be given by (509.592;550.308)

Part b

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Assuming that $\hat \sigma =s$

And on this case we have that ME =6msec, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (b) we got:

$n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523$

So the answer for this case would be n=523 rounded up to the nearest integer

3 0

2 years ago

Angle PQR is formed by segments PQ and QR on the following coordinate grid:

viva [34]

Answer:

m∠P′Q′R′ = m∠PQR

Step-by-step explanation:

8 0

2 years ago

Janice needs to re-shingle the roof of her house. One bundle of shingles costs $35.99 and covers 2.25 m2.

larisa [96]

To calculate the number of shingles, we first calculate for the total area of the roof of Janice's house. From the figure, we can calculate the area of the two shapes: pyramid and a rectangular prism.

A(pyramid) = lw+l√[(w/2)²+h²]+w√[(l/2)²+h²]
A = 208 m²
A(prism) = 2(wl+hl+hw)
A = 293 m²

Total area = 501 m²

Number of shingles she needs = 501 m² / 2.25 m² = 223

7 0

2 years ago