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goblinko [34]
3 years ago
7

In the expression , 8.92 x 10^3 , which number is the base ?

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
10 is the base. If you get stuck on anymore problems like this you can tell which one is the base by looking where the exponent is in the problem. Hope this helps!!
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Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

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3 years ago
Problem Solving World
jonny [76]

Answer:

46

Step-by-step explanation:

To solve this, add.

28 + 18 = 46

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Since m∠E=90∘, △DEF is a right triangle and the Pythagorean theorem applies. Write an equation representing the relationship bet
Troyanec [42]

Step-by-step explanation:

Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.

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Convert 3,124 meters to kilometers (1 kilometer =1000 meters)
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Step-by-step explanation:

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Dots sells t-shirts ($2) and shorts ($4). In April total sales were $456. People bought 4 times as many t-shirts as shorts. How
Doss [256]

Answer:

Dots sold 152 t-shirts and 38 shorts sold.

Step-by-step explanation:

Let t = t-shirts and s = shorts.

We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s

Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456

So our two equations are:

t = 4s

2t + 4s = 456

Substitute t from the 1st equation into the 2nd:

2(4s) + 4s = 456

8s + 4s = 456

12s = 456

s = 38

There were 38 shorts sold.

Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:

t = 4s

t = 4(38)

t = 152

There were 152 t-shirts sold.

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