Find the surface area of the right prism :​

Answer:

The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.

Step-by-step explanation:

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 19.6 and a standard deviation of 5.0.

This means that [tex]\mu = 19.6, \sigma = 5[/tex]

What is the sampling distribution of the sample average score for this random sample of 64 students?

By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation [tex]s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625[/tex]

Answer:

D. 2/5

Step-by-step explanation:

First, find the total number of sock pairs in his drawer:

5 + 1 + 4

= 10

Since there are 4 pairs of blue socks, the probability that he will choose a blue pair of socks is 4/10.

This can be simplified by dividing each number by 2.

Simplified, the probability is 2/5.

So, the correct answer is D. 2/5

Answer:

36/21 (simplified)

Step-by-step explanation:

To use KCF, multiply by the reciprocal. 16/21 x 9/4

Just flip the denominator with the numerator

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

Answer:

[tex]- 1 \frac{13}{60} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]

Hope this helps you.

Can I have the brainliest please?

9514 1404 393

Answer:

  (x, v) ∈ {(-3, -6), (-3, 6), (3, -6), (3, 6)}

Step-by-step explanation:

For a quick and easy answer, my "work" is to use a graphing calculator.

  (x, v) = (±3, ±6) . . . . in all 4 combinations

__

Add double the second equation to the first.

  (5x^2 -4v^2) +2(2x^2 +2v^2) = (-99) +2(90)

  9x^2 = 81

  x^2 = 9

Substituting this into the second equation gives ...

  2(9) +2v^2 = 90

  2v^2 = 72

  v^2 = 36

So, (x^2, v^2) = (9, 36). Taking square roots, we get ...

  (x, v) = (±3, ±6) . . . . in all combinations

Answer:

The negative integers are greater than -12

Answer:

Step-by-step explanation:

Answer:

31.8%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

5720 = (1200)(R)(15)

5720 = 18,000R

R = 0.3177777, rounded to 31.8%

Answer:

32%

Step-by-step explanation:

5720/15=381.33 interest per year

principal x interest rate = interest per year

1200 x interest rate =381.33

interest rate = 381.33/1200

interest rate = 32%

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

he surface area of a cube is equal to 6 times the side length squared.

SA=68^2  

where  SA  is the surface area and  8  is the side length.

If the side length of the cube is 4 cm each, then let  s=4 cm  

So the surface area of the 4-cm-side-length cube is:

SA=6∗(4 cm)^2  

=6∗16 cm^2  

=96 cm^2

Answer:

29 students

Step-by-step explanation:

Given that 20% of the 145 student did not play video games, you take the 145 times .20 and should be able to find the number that did NOT play video games.

[tex]0.2(145) = 29[/tex]

Answer:

the second and last one

....................

Cross multiply:

4 x 6 = 9x

24 = 9x

Divide both sides by 9

X = 24/9

X = 2.7 ( rounded to the nearest tenth)

Answer:

B. 7√3

Step-by-step explanation:

30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.

Please see the attached image.

The answer is 7*√3=7√3

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

Answer:

Answer: x=65

Step-by-step explanation:

Since they're vertical angles both sides are equal to 145 degrees

So, 145-15= 130 to get rid of the constant

Then, 130/2=65

To check you work add up all of your solutions to get 145

2*65=130 & 130+15=145

Therefore, x=65

Answer:

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.

Step-by-step explanation:

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.

Subtraction of normal variables:

When normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Yuki's times in this race are normally distributed with a mean 80 seconds and standard deviation of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard deviation of 5.6 seconds.

Yuki's is faster than Zana if the subtraction of Yuki by Zana is larger than 0.

The mean is:

[tex]\mu = 80 - 85 = -5[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{4.2^2 + 5.6^2} = 7[/tex]

Find the probability that Yuki's time is faster than Zana's.

This is P(X > 0), which is 1 subtracted by the pvalue of Z when X = 0.

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

[tex]Z = \frac{0 - (-5)}{7}[/tex]

[tex]Z = 0.71[/tex]

[tex]Z = 0.71[/tex] has a pvalue of 0.7611

1 - 0.7611 = 0.2389

0.2389 = 23.89% probability that Yuki's time is faster than Zana's.

Answer:

A D 1 Vertical

Step-by-step explanation:

x always represents 1

Answer:

x=4

Step-by-step explanation:

The two angles together are complementary, which means they add up to 90 degrees

solving for x:

9x+4x+38=90

9x+4x=13x

13x+38=90

13x+38-38=90-38

13x=90-38

13x=52

x=4

hope this helps ^D^

Answer:

9x=4x+38

5x=38

x=38/5

Step-by-step explanation:

G. From the origin move right 3 units,then up 6 units

H. From the origin move left 2 units,then up 11 units

J. From the origin move right 8 units, then down 10 units

K. From the origin move left 16 units, then down 20 units

L. Plot the first point at the origin then move up 5 units

M. From the origin move left 14 units and plot the next point at the origin

Answer:

That did not make sense

Answer:

x = 3

Step-by-step explanation:

Verified correct with test results.

Just had to delete the jibberish to find the actual question for this problem:

The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x. What is the value of x?

Answer:

A.) ŷ = 0.73986X + 18.98921

B.) 80

C.) r = 0.9205

Step-by-step explanation:

Given :

1st test grade (X) :

98

77

88

80

96

61

66

95

69

final average (Y) :

93

78

84

73

84

64

64

95

76

Using a linear regression calculator :

The model obtained is :

ŷ = 0.73986X + 18.98921

Student with x = 83

ŷ = 0.73986(83) + 18.98921

ŷ = 80.39759

ŷ = 80 (nearest whole number)

The R value is : 0.9205 which shows that there is a strong linear correlation between the first test grade and the final average a student Obtian in an exam because the r value is very close to 1.

R² = √0.9205 = 0.8473 ; this means about 84.73% of variation in final average can be explained by the regression line.

Answer:

Step-by-step explanation:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Answer:

B) Vertex (1,2), maximum

Step-by-step explanation:

First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.

The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].

Answer:

7.57

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2} x+0[/tex]

Step-by-step explanation:

points on the line are:-

[tex](0,0) and(2,3)[/tex]

[tex]m=\frac{3-0}{2-0} =\frac{3}{2}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{3}{2} x+b[/tex]

[tex]0=\frac{3}{2}(0)+b[/tex]

[tex]0=b[/tex]

so...

[tex]y=\frac{3}{2} x+0[/tex]

[tex]---------[/tex]

hope it helps...

have a great day!!