A class’s test scores are normally distributed if the average score 60 and the standard deviation is 7 choose the spots where the students scoring below 46 and above 74 lie

Answer:

(b). 3.5

(c). 28 cubes

Step-by-step explanation:

Answer:

what are the statements

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

if you set it as an equation equal to 180 its easier to tackle

Answer:

The length of each lap around the lake was of 3.3 miles.

Step-by-step explanation:

Given that Josh cycled 8 laps on a bicycle path surrounding a lake, and each lap was the same length, to determine what was the length of each lap around the lake if he cycled a total of 26.4 miles, the following calculation must be performed:

26.4 / 8 = X

3.3 = X

Thus, the length of each lap around the lake was 3.3 miles.

Solution :

A logical expression may be defined as those equation or expression which is either viable or inviable.

In the context, translating each statement into a logical expression using the predicates, the quantifiers, and the logical connectives.

Let P(x) be the propositional function "x is perfect"

Let F(x) be the propositional function "x is your friend"

And the domain is all the people

a). No one is perfect

     [tex]$\forall \ x \rightharpoondown P(x)$[/tex]

b). Not everyone is perfect.

     [tex]$\rightharpoondown \forall \ x\ P(x)$[/tex]

c). All your friends are perfect.

    [tex]$\forall \ x (F(x)\rightarrow P(x))$[/tex]

d). At least one of your friends is perfect.

   [tex]$\exists \ x \ (F(x) \wedge P(x))$[/tex]

e) Everyone is your friend and is perfect.

    [tex]$\forall \ x \ F(x) \wedge \ \forall \ x \ P(x)$[/tex]

f). Not everybody is your friend or someone is not perfect.

    [tex]$(\rightharpoondown \ \forall \ x \ F(x) ) \ \wedge (\exists \ x \ \rightharpoondown \ A (x))$[/tex]

Answer:

5

Step-by-step explanation:

Slope = (-3 - 2) / (1 - 2) = -5 / -1 = 5

Hi there!

[tex]\large\boxed{\text{slope =} 6}[/tex]

We can calculate slope using the following formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the corresponding points:

[tex]slope = \frac{-9-(-3)}{2-1}[/tex]

Simplify:

[tex]slope = \frac{-6}{1} = -6[/tex]

Answer:

im sure its c

Step-by-step explanation:

:)

Answer:

0.9173 = 91.73% probability that the average duration of unemployment was between 30 and 37 weeks.

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

Mean of 34.6, standard deviation of 10.2

This means that [tex]\mu = 34.6, \sigma = 10.2[/tex]

Sample of 36

This means that [tex]n = 36, s = \frac{10.2}{\sqrt{36}} = 1.7[/tex]

What is the probability that the average duration of unemployment was between 30 and 37 weeks?

This is the pvalue of Z when X = 37 subtracted by the pvalue of Z when X = 30.

X = 37

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37 - 34.6}{1.7}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

X = 30

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 34.6}{1.7}[/tex]

[tex]Z = -2.71[/tex]

[tex]Z = -2.71[/tex] has a pvalue of 0.0034

0.9207 - 0.0034 = 0.9173

0.9173 = 91.73% probability that the average duration of unemployment was between 30 and 37 weeks.

Answer:

A (the first answer)

Step-by-step explanation:

9514 1404 393

Answer:

  a.  -4

Step-by-step explanation:

When using the "diamond method" for factoring quadratics, the bottom number is the coefficient of the linear term. In this quadratic, it is -4.

The bottom number is -4.

Answer:

there is no picture so we can't solve it

Answer:

you are incorrect =

Step-by-step explanation:

1 mile = 63360inches=72 =63432inches=5286ft

Answer:

i think D is the answer : the distribution is skewed to the right

Answer:

I support option D in this question

Answer:

59.8%

Step-by-step explanation:

599 - 300 = 299. Now we need to find the percentage 299 is of 500.

299 / 500 = 0.598

0.598 as a percent is 59.8%.

Answer: 59.8%

Hope this helps!

Answer:

he would have to work 28 hours

Step-by-step explanation:

Answer:

Cole have to work 28 hours

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

Answer:

[tex](f\ o\ g)(x) = 3x[/tex]

[tex]-\infty < x < \infty[/tex]

Step-by-step explanation:

Given

[tex]f(x) = ln(x^2)[/tex]

[tex]g(x)=\sqrt{e^{3x}}[/tex]

Solving (a): (f o g)(x)

This is calculated as:

[tex](f\ o\ g)(x) = f(g(x))[/tex]

We have:

[tex]f(x) = ln(x^2)[/tex]

[tex]f(g(x)) = \ln((g(x))^2)[/tex]

Substitute: [tex]g(x)=\sqrt{e^{3x}}[/tex]

[tex]f(g(x)) = \ln(\sqrt{e^{3x}})^2[/tex]

Evaluate the square

[tex]f(g(x)) = \ln(e^{3x})[/tex]

Using laws of natural logarithm:

[tex]\ln(e^{ax}) = ax[/tex]

So:

[tex]f(g(x)) = \ln(e^{3x})[/tex]

[tex]f(g(x)) = 3x[/tex]

Hence:

[tex](f\ o\ g)(x) = 3x[/tex]

Solving (b): The domain

We have:

[tex]f(g(x)) = 3x[/tex]

The above function has does not have any undefined points and domain constraints.

Hence, the domain is: [tex]-\infty < x < \infty[/tex]

Answer:

angle A = 130°

x=65°

I hope it's helps you

Answer:

(2x - 30°) + 50° = 180° (linear pair angles)

2x + 20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2 = 80°

Now, A = 2x - 30° = 160°-30° = 130°

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

Step-by-step explanation:

shown in the photo I have provided

The graph of the given function f (x) = sin (πx/2) is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

If we plugged in x = 0, then we get

f (x) = sin (πx/2)

Therefore, this sine curve goes through the origin. The point is on the midline y = 0, the x axis.

We need either a minimum or maximum point. the expression f (x) is the same as . We will divide 2π over the coefficient of π/2 to get

The plot of the the maximum or minimum point closest to the first point is plotted in the graph.

Learn more about function here:

https://brainly.com/question/2253924

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Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

Answer:

94.99

Step-by-step explanation:

Hi,

The formula to find the area of a circle is: A = πr²

So...

A = 3.14 (r)²

The radius of the circle is 5.5 because half of the diameter is the radius.

A = 3.14 (5.5)²

A = 3.14 (30.25)

A = 94.985 rounded is 94.99

I hope this helps :)

Answer:

the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Step-by-step explanation:

The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, slope = Rise/Run.

Here, slope of a line AB = 3/6

= 1/2

Now, slope of a line BC = 2/4

= 1/2

Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ3

Answer:

B.

[tex] \frac{5}{8} [/tex]

Answer: Neither

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

To solve this, multiply the denominator by 2, which would be 2x3 which would be 6.

Answer:

1436.8 in³

Step-by-step explanation:

Volume of sphere = (4/3)πr³

r = 7

---> (4/3)π(7)³ = 1436.8 in³

Have a great day :)

Answer:

The volume of the sphere is A.

Answer:

Alia has 11 jelly beans.

Step-by-step explanation:

4^2= 163^3= 2727-16=11