Calculate the radius of this circle to 1 d.p.
area = 96 cm²

Answer:

\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)

Step-by-step explanation:

Answer: -81, the product would just be 3∧4 but negative

Answer:

False. The product of two negative integers is a positive integer.

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

4% is a statistic and 1% is a parameter

Step-by-step explanation:

First, let's remember the differences between parameters and statistics:

Parameters are values that describe data of the entire population.

Statistics are values that describe data from a sample.

The value of 1% refers to "all of the parts", which is the population of over 1 million parts, thus 1% is a parameter.

The value of 4% refers to the "100 selected", which is the sample of 100 parts, thus 4% is a statistic.

Therefore, 4% is a statistic and 1% is a parameter.

Answer:

100

Step-by-step explanation:

Answer:

sphere

Step-by-step explanation:

sphere has a larger volume

Answer:

1: 0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

2: 0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs

3: In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 22.8 lbs and a standard deviation of about 2.15 lbs.

This means that \(\mu = 22.8, \sigma = 2.15\)

Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

This is the pvalue of Z when X = 25. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{25 - 22.8}{2.15}\)

\(Z = 1.02\)

\(Z = 1.02\) has a pvalue of 0.8461

0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

Part 2: Find the probability that the mean weight for a sample of size 10:

Now \(n = 10, s = \frac{2.15}{\sqrt{10}}\). So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{25 - 22.8}{\frac{2.15}{\sqrt{10}}}\)

\(Z = 3.24\)

\(Z = 3.24\) has a pvalue of 0.9994

0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs

Part 3: Explain the difference between Part 1 and Part 2.

In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.

Answer:

$146

Step-by-step explanation:

3 : 2

is 5 parts

the laborer got 2 of 5 parts

(2/5) * 365 = 146

$146

Answer:

20

Step-by-step explanation:

85% of x = 17

\(\frac{85}{100}*x = 17\\\\ x = 17*\frac{100}{85}\\\\x = \frac{100}{5}\\\\x = 20\)

Answer:

(-3,7)

Step-by-step explanation:

Step-by-step explanation:

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

Answer:

(-5, 9)

Step-by-step explanation:

(-3-2, 2+7)= (-5,9)

Answer: -6 2/3, square root of 36, 6.4..., 71/11

Step-by-step explanation:

Turn the fractions into decimals for more understanding and solve for the square root of 36, 6.4... stays the same

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

Read more about probability,

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The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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If the the a is greater than 1, compared to the parent function the C. Stretched vertically.

The equation y = ax^2 + c represents a quadratic function where "a" is the coefficient of the x^2 term and "c" is a constant term. The parent function of this quadratic function is y = x^2.

If the equation of a quadratic function is given in the form y = ax^2 + c and "a" is greater than 1, then the graph of the function will be stretched vertically and the vertex will be shifted up or down depending on the value of "c".

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Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

0, 2, 5

Step-by-step explanation:

10 ≥ 2n

Divide both sides by 2

5 ≥ n

Flip

n ≤ 5

Values less than or equal to 5

0, 2, 5

Answer:

The answer is

(f.g)(x)= x^5-2x^3+2x^2-8x+4

Step-by-step explanation:

Hope this helps:)

Answer:

3 + 2-(-3)-7=1

Step-by-step explanation:

The answer is 1

Answer:

1

Step-by-step explanation:

1.First you have to multiply the negative to the parenthesis(Pemdas)

2.add 3+2=5

3.add 5+3=8

4.subtract 8-7

3+2-(-3)-7=

3+2+3-7=

5+3-7=

8-7=

=1

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

5 to each group and she gave 6 stickers to he sister

Answer: 3702

Step-by-step explanation: from plato

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

4

Step-by-step explanation:

I am pretty sure its that one

Answer:

students=315 adults=135

Step-by-step explanation:

3s=7a

s+a=450

s=450-a

3(450-a)=7a

1350-3a=7a

1350=7a+3a

1350=10a

a is 135

a is adult

s=450-a

s=450-135

s=315

branlist please

Answer:

1. x  =  − 7  +  2 y

2. x  =  1  −  2 y /3

Step-by-step explanation:

Answer:   [1]    x + 2y = 7

  [2]    3x - 2y = -3