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3 years ago

9

On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how

many students were present that day

1 answer:

-Dominant- [34]3 years ago

4 0

Answer:

399 but I'm not 100 percent sure

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How much coffee will each person get if 3 people share 1/2 a pound of coffee?

Usimov [2.4K]

Answer:6 pounds you need to divide 3 by .5 and you will get 5

Step-by-step explanation:

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3 years ago

Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in

abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

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3 years ago

When looking at a problem how can you tell if it is a power of power rule or power of product rule

LiRa [457]

Power of power rule:

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Power of product rule:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.

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3 years ago

According to the Census Bureau, 3.39 people reside in the typical American household. A sample of 26 households in Arizona retir

Vikki [24]

Answer:

$t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758$

$df=n-1=26-1=25$

$p_v =P(t_{(25)}$

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=2.73$ represent the sample mean

$s=1.22$ represent the sample standard deviation

$n=26$ sample size

$\mu_o =3.39$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is less than 3.39 persons, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3.39$

Alternative hypothesis: $\mu < 3.39$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758$

P-value

The degreed of freedom are given by:

$df=n-1=26-1=25$

Since is a one sided lower test the p value would be:

$p_v =P(t_{(25)}$

Conclusion

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

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3 years ago

A rectangular prism has a base length of 6 units, base

Maurinko [17]

Answer:

The lateral area rectangular prism is $88 unit^2$ .

The area of the two bases of rectangular prism together is $60 unit^2$ .

The total surface area rectangular prism is $148 unit^2$ .

Step-by-step explanation:

Height of the rectangular prism = h = 4 units

Length of the base of the rectangular prism = l = 6 units

Width of the base of rectangular prism = b = 5 units

Rectangular prism = Cuboid

Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)

Lateral surface area of rectangular prism :

$L.S.A=2\times 4 units(6 units+5units)=88 units^2$

Area of the base = l × b

Area of the base of the rectangular prism = $6 unit\times 5 unit=30 unit^2$

Area of the two bases = $2\times 30 unit^2=60 unit^2$

Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)

Lateral surface area of rectangular prism :

$T.S.A=2\times (6unit\times 5unit+5 unit\times 4unit+4 unit\times 6 unit)$

$=148 unit^2$

4 0

3 years ago

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