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3 years ago

Between which two integers does square root of /51 lie

Mathematics

2 answers:

VashaNatasha [74]3 years ago

8 0

Answer:

7 and 8

Step-by-step explanation:

Consider the perfect squares either side of 51

49 < 51 < 64 , thus

$\sqrt{49}$ < $\sqrt{51}$ < $\sqrt{64}$ , that is

7 < $\sqrt{51}$ < 8

Elza [17]3 years ago

4 0

Answer:

7 and 8.

Step-by-step explanation:

7^2 = 49 and 8^2 = 64.

You might be interested in

He Earth completely rotates on its axis once every 24 hours.

mafiozo [28]

Answer:

58/3 = 19.33 hours

84.00 hours

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.

In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;

(24/360) = (x/290)

solving for x;

x = (24/360) * 290 = 58/3 = 19.33 hours

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;

(24/2π radians) = (x/7π radians)

Solving for x;

x = (24/2π radians)*7π radians = 84 hours

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

= 7920*3.142

= 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

7 0

2 years ago

Leno4ka [110]

In reflection, translation and rotations the pre image and the image are congruent and in dilation they are similar <span />

3 0

3 years ago

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab

Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected, and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, $H_0$ : $\mu$ = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, $H_1$ : $\mu$ < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

T.S. = $\frac{Xbar-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, X bar = sample mean = 738.44 hours

s = sample standard deviation = 38.2 hours

n = sample size = 50

So, test statistics = $\frac{738.44-750}{\frac{38.2}{\sqrt{50} } }$ ~ $t_4_9$

= -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0

3 years ago

please help me with this question! i will give 40 points and brainliest! please help with answer and explanation. thanks you so

riadik2000 [5.3K]

Answer:

to find the sale price, you need to find what 34% of 82 is.

82 x 0.34 = 27.88

subtract that from the original price

82 - 27.88 = $54.12

you could also multiply 82 by (1 - .34) to get the same answer

82 x (.66) = $54.12