Select the answer choice below that represents 5.9 x 10-4 in standard notation. 0.000059
0.00059
59,000
5,900

Answers

Answer 1

Answer: This means that you have to move the decimal point 4 decimal places to the left, as denoted by the negative sign. Thus, this would add 3 zeros before 5. The answer would be 0.00059.

I hope the explanation was clear to you. Have a good day.

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Benji decides to sabe $15 dollors per week to buy a computer program. Which equation models th total amount t in dollars Benji will have saved in w weeks?

Answers

t is the amount

w is the weeks

$15 is the rate it is changing

So with this information your answer will be : t=15w

Find the length x in the triangle. Express your answer in simplified radical form. Side 1=10. Side 2=8. Side 3=x

Answers

There's not enough information given to find a unique answer.
With sides of 10 and 8, an infinite number of different triangles
can be built, each with a different third side. The third side
can be any length between 2 and 18 .

There may be a picture that goes along with this question, with some
more information in the picture than what has been given here. Like
for example, it may be some special kind of triangle.

An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much-frozen water is in the icicle? Use 3.14 for Pi. Round the answer to the nearest tenth.

Answers

Answer:

Amount of water = 3077.2 mm^3.

Step-by-step explanation:

The radius = 1/2 diameter = 1/2 * 14 = 7.

The amount of ice in the cone = it's volume.

The volume of the cone = 1/3 3.14 r^2 h

= 1/3 * 3.14 * 7^2 * 60

= 3077.2 mm^3.

Use the given data to construct a confidence interval for the population standard deviation, σσ. Assume that the population has a normal distribution: The football coach randomly selected the following players and timed how long each player took to perform a certain drill. The times (in minutes) were:[10,10,15,10,11,7,5,5]

Find a 95.0 confidence interval for the population standard deviation σ

A) 2.6194049<σ<6.43192582.6194049<σ<6.4319258
B) 2.2194049<σ<6.83192582.2194049<σ<6.8319258
C) 2.6194049<σ<7.43192582.6194049<σ<7.4319258
D) None of These

Answers

Answer:

The confidence interval for the population standard deviation would be:

C) 2.6194049<σ<7.4319258

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$\bar x$ represent the sample mean

n=8 the sample size

Confidence=95% or 0.95

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates.

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$((n-1)s^2)/(\chi^2_(\alpha/2)) \leq \sigma \leq ((n-1)s^2)/(\chi^2_(1-\alpha/2))$

On this case we need to find the sample standard deviation with the following formula:

$s=\sqrt{(\sum_(i=1)^8 (x_i -\bar x)^2)/(n-1)}$

And in order to find the sample mean we just need to use this formula:

$\bar x =(\sum_(i=1)^n x_i)/(n)$

The sample mean obtained on this case is $\bar x= 9.125$ and the deviation s=3.357

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=8-1=7$

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 tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.025,7)" "=CHISQ.INV(0.975,7)". so for this case the critical values are:

$\chi^2_(\alpha/2)=16.012$

$\chi^2_(1- \alpha/2)=1.690$

And replacing into the formula for the interval we got:

$((7)(3.357)^2)/(16.012) \leq \sigma ((7)(3.357)^2)/(1.690)$

$4.927 \leq \sigma^2 \leq 46.678$

Now we just take square root on both sides of the interval and we got:

$2.2194049 \leq \sigma \leq 6.8319258$

So the best option would be:

C) 2.6194049<σ<7.4319258

Are the two right triangles TRS and WUV congruent? If so, name the congruence postulate that applies.A. Might not be congruent
B. Congruent - SSS
C. Congruent - SAS
D. Congruent - ASA

Answers

Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. The right triangles trs and wuv are congruent when they have equal lengths of the sides and having equal sides, angles should as well be equal with the two triangles. The correct answer would be B, congruent - SSS.

Answer:Is D Congruent-ASA

Step-by-step explanation:

a bookstore had 64 copies of a magazine. yesterday it sold 5/8 of them. how many copies were sold yesterday?write your answer in simplest form.