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3 days ago

Write 6X10X10X10X10 with an exponent.

1 answer:

3 0

6 × 10 × 10 × 10 × 10 = Step-by-step breakdown: The exponent of any number reveals how many times that number is multiplied. It signifies the power applied to a number indicating how often that number is multiplied. Here, 10 is used four times, indicating an exponent of 4 for 10. Therefore, the expression can be represented as:

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leons older brother is 4and 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon

zzz [9093]

Answer: $4\frac{5}{12}\ feet$

Step-by-step solution:

Leon’s older brother’s height is $4\frac{3}{4}$ feet

$=\frac{16+3}{4}=\frac{19}{4}$ feet

Because Leon is 1/3 foot shorter than his brother,

Leon’s height = $\frac{19}{4}-\frac{1}{3}$

Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.

So, Leon’s height = $\frac{57}{12}-\frac{4}{12}$

$=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12}$ feet

Therefore, Leon’s height is $4\frac{5}{12}\ feet$ feet.

8 0

1 month ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

PIT_PIT [9121]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=1503\\\\H_a:\mu< 1503$

b) Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.

Step-by-step breakdown:

This is a statistical test for the average population mean.

The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.

Accordingly, the null and alternative hypotheses are:

$H_0: \mu=1503\\\\H_a:\mu< 1503$

The significance level is set at 0.05.

The sample size is n=25.

The sample mean equates to M=1425.

A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:

$d=M-\mu=1425-1503=-78$

Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.

The estimated standard error of the mean is determined with the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{160}{\sqrt{25}}=32$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1425-1503}{32}=\dfrac{-78}{32}=-2.438$

The degrees of freedom for this sample size stand at:

$df=n-1=25-1=24$

This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):

$\text{P-value}=P(t$

As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.

Thus, the null hypothesis obtains dismissal.

At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.

8 0

10 days ago

Three people toss a fair coin and the odd one pays for coffee. if the coins all turn up the same, they are tossed again. find th

lawyer [9240]

In the absence of a specific question posed, below are the potential inquiries along with their respective answers:

P(fewer than 4 tosses)
= P(one toss) + P(two tosses) + P(three tosses)
= (3/4) + (3/4)(1/4) + (3/4)(1/4)^2
= 0.984375

Expected value
= 1 / p
= 1 / (3/4)
= 4 / 3

Variance
= (1 - p) / p^2
= (1 - (3/4)) / (3/4)^2
= (1/4) / (9/16)
= 4 / 9

Standard deviation
= sqrt(Variance)
= sqrt(4 / 9)
= 2 / 3

8 0

1 month ago

The diagram shows two objects made of the same kind of glass. At left, a 3 dimensional figure labeled X with 2 triangular sides

Zina [9179]

Response:

A solid qualifies as a polyhedron if it consists solely of polygonal facets, with the faces converging at... polygons, and an equivalent number of faces converging at each vertex.... referred to as a right prism).... 1. 2. 3. The visuals below depict a 3-dimensional shape that does not meet the criteria... Example 10: The solid illustrated below is categorized as a rectangular prism or cuboid

Detailed explanation:

6 0

16 days ago

Read 2 more answers

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light

Inessa [9006]

Answer:

5 miles in total

Step-by-step explanation:

Given:

Time spent driving = 10 min = 10 / 60 = 1/6 hour

Duration of stop = 5 min

Driving speed = 30 miles per hour

Find:

Complete distance

Computation:

Distance traveled = Speed × time

Distance = 30 × (1/6)

Total distance = 5 miles

5 0

1 month ago