The top of a hill rises 196
feet above Checkpoint 3.
What is the altitude of the top of the hill?

If a researcher collected the number of letters in each of 200 first names, approximately 79.4% of first names have seven letters or less. Therefore, the correct answer is 79.4%.

To find the percentage of first names with seven letters or less, we will use the mean (5.82) and standard deviation (1.43) of the normally distributed data. We will calculate the z-score for a name with seven letters:

z = (7 - 5.82) / 1.43
z ≈ 0.83

Now, using a z-table or a calculator that can compute the cumulative distribution function (CDF) of a standard normal distribution, we find the probability associated with the z-score:

P(z ≤ 0.83) ≈ 79.4%

So, approximately 79.4% of first names have seven letters or less. The correct answer is 79.4%.

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Since Sophie can grade 11 papers per hour

Since she worked for 5 hours, then

Multiply 11 by 5 to find the number of the graded papers

Since the total number of papers is 86, then to find the number of the remaining papers subtract 55 from 86

There were 31 paper Sophie has to grade after working 5 hours

Answer:

∠KIJ = \(45.8\)°

Step-by-step explanation:

The measure of a straight line is 180°.This means that we simple have to subtract 134.2° from 180°:

\(180-134.2=45.8\)°

Answer:

x = 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

Correct choice is A

Answer:

160.12^2

Step-by-step explanation:

Answer:

AC = 8 cm,

AD = 3 cm and ∠ACB = ∠CDA

From figure,

∠CDA = 90°

∴ ∠ACB = ∠CDA = 90°

In right angled ∆ADC,

AC2 = AD2 + CD2

⇒ (8)2 = (3)2 + (CD)2

CD2 = 64 – 9 = 55

⇒ CD = √55 cm

In ∆CDB and ADC.

∠BDC = ∠AD [each 90°]

∠DBC = ∠DCA [each equal to 90°-∠A]

∴ ∠CDB ∼ ∆ADC

Then,

Pretty sure the answer is D.

Answer:

sweet god yes it is unless she 12 feet tall then no

Step-by-step explanation:

Answer: No.

Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!

The solution of the complex number (√-7. √21)÷7√−1 is √3.

Here, we have,

given that,

(√-7 . √21)÷7√−1

now, we know that,

Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”.

The value of i = (√-1).

now, √-7 = √−1×√7 = i√7

so, we get,

(√-7 . √21)÷7√−1

= (i√7× √21)÷7× i

=( i√7× √7√3 ) ÷7× i

= (i × 7√3 )÷7× i

= √3

Hence, The solution of the complex number (√-7. √21)÷7√−1 is √3.

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Z-score of the manufacturer's claim is 0.25.

It is a statistical expression that refers the difference between observed value and standard deviation.

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

           (Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

                               (1500-1480)/80=0.25

hence, Z-score is 0.25

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Z-score of the manufacturer's claim is 0.25.

It refers to the difference between the observed value and standard deviation and is a statistical statement.

The standard score, also known as a z-score, is a highly helpful statistic since it lets us compare scores from different normal distributions and assess the likelihood that a given score will fall within our normal distribution.

The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator. Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

(Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

 (1500-1480)/80=0.25

hence, Z-score is 0.25

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The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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Answer:

8+3i

Step-by-step explanation:

Answer:

y=3/2x+2

Step-by-step explanation:

i hope this helps :)

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.

At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured

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Answer:

umm well i honestly forgot!

Step-by-step explanation:

but here is a fun fact During your lifetime, you will produce enough saliva

Answer:

Last one

Step-by-step explanation:

The slope intercept form is: y=mx +b

m=the slope and b is the y intercept

so it would be the last one

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

59

Step-by-step explanation:

Answer:

The mean of this data set is 10.6

Step-by-step explanation:

To find the Mean of a data set, you add up all the values and then divide by the number of values.

3 + 4 + 6 + 7 + 10 + 15 + 19 + 21 = 85

This data set has 8 values.

85 ÷ 8 = 10.6

Answer:

1/49

Step-by-step explanation:

7^-2= 1/7^2 = 1/49

Solution,

7^-2

=1/7^2

=1/49

Hope it helps

Good luck on your assignment

Answer:

The answer is C because 14 - 3 = 11 x 2 = 22

Answer:

C

Step-by-step explanation:

Knowing x=14, we will substitute 14 when we see x.

In the equation 2(x-3) =22, when we substitute 14 for x we get 2(14-3)=22

Following PEMDAS, we do what's in the parenthesis first. 14 minus 3 gives us 11 and multiplying that by 2 will give us 22.

22=22 is true and therefore, C is your correct option.

Answer:

what is Step-by-step explanation: 18+3 |6-25| -11

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Answer:

-3x^2 + 3x

Explanation:

Answer:

Step-by-step explanation:

\(3( - {x}^{2} + x)\)

\( = 3 \times ( - {x}^{2} ) + 3 \times x\)

\( = - 3 {x}^{2} + 3x(ans)\)

Answer:

the answer is B.

Step-by-step explanation:

the formula for circumference of a circle is \(\pi\)×diameter=C

\(\pi\)·8=25.13

\(\pi\)·4=12.56

12.56·2=25.13

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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