which formula should be used to find the area of the composite shape? A = 4(1/2Xbh) lw B. A=4bh+lw C. a=4bh+lw d. 2bh+bh The composite shape is a four pointed star.

Answer:

0.0901 = 9.01% of packages will incur such a charge

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add normal variables, the mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances.

Centerpieces are normally distributed with mean of 30 ounces and standard deviation of 2 ounces.

This means that [tex]\mu_C = 30, \sigma_C = 2[/tex]

The weights of the shipping boxes are normally distributed with mean of 12 ounces and standard deviation of 1 ounce.

This means that [tex]\mu_S = 12, \sigma_S = 1[/tex]

Suppose that centerpieces are chosen at random and packed into randomly chosen shipping boxes.

The shipment is given by the centerpice plus the shipping box. So the mean and the standard deviation of the weight are given by:

[tex]\mu = \mu_C + \mu_S = 30 + 12 = 42[/tex]

[tex]\sigma = \sqrt{\sigma_C^2 + \sigma_S^2} = \sqrt{2^2 + 1^2} = \sqrt{5} = 2.236[/tex]

If a package exceeds 45 ounces, an additional charge is incurred. What is the proportion of packages will incur such a charge

This proportion is 1 subtracted by the pvalue of Z when X = 45. So

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

[tex]Z = \frac{45 - 42}{2.236}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% of packages will incur such a charge

Answer:

The hammer reaches the river after 15.8 seconds.

Step-by-step explanation:

The formula to find for how long it takes for the hammer to reach the ground is given by:

[tex]t = \frac{\sqrt{h}}{4}[/tex]

In which h is the initial height.

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River.

This means that [tex]h = 4000[/tex].

So

[tex]t = \frac{\sqrt{4000}}{4}[/tex]

[tex]t^2 = \frac{4000}{16}[/tex]

[tex]t^2 = 250[/tex]

[tex]t = \sqrt{250}[/tex]

[tex]t = 15.8[/tex]

The hammer reaches the river after 15.8 seconds.

Answer:

A). {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). {HHH, HHT, THH, THT}

Step-by-step explanation:

Given:

A coin is to be tossed three times and each tossed will be recorded as Head(H) and Tails(T).

To Find:

(a). Sample Space

(b). Event that the second toss is Heads

Explanation:

(A). Sample Space: When a coin is tossed 3 times

{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). Event that second toss is Head

{HHH, HHT, THH, THT}

Answer:

The answer should be B.

Step-by-step explanation:

I got the answer before. Can't remember if I was right. Also A can also be correct.

Answer:

I think its C. 9/24

Step-by-step explanation:

Answer:

[tex]Fraction = \frac{1}{18}[/tex]

Step-by-step explanation:

Given

[tex]Pizza = \frac{1}{3}[/tex]

[tex]Girls = 6[/tex]

Required [Missing Information]

Determine the fraction each girl gets

To do this, we simply divide the pizza by the number of girls i.e.

[tex]Fraction = \frac{Pizza}{Girls}[/tex]

[tex]Fraction = \frac{1}{3} / 6[/tex]

Change / to *

[tex]Fraction = \frac{1}{3} *\frac{1}{6}[/tex]

[tex]Fraction = \frac{1}{18}[/tex]

Hence, each girl gets 1/18

Answer:

Step-by-step explanation:

Um

Answer:

I think it’s 1

Step-by-step explanation:

Because it’s a right triangle and it’s equal to 90° So

and 2,3,4 is less than 90 so

9514 1404 393

Answer:

  A.  55

  B. 8

Step-by-step explanation:

We want ...

  √x < 8

  x < 8² . . . . . square both sides

  x < 64

In order for the inequality to make any sense, we must also have ...

  0 ≤ x

So, the solution space is ...

  0 ≤ x < 64

Only answer choices A (55) and B (8) are in that range.

Answer:

D şıkkı Büyük tarruz olmalı

Answer:

7< 8

Step-by-step explanation:

Answer:

37< 10x-7

Step-by-step explanation:

Answer:

it will 90° because it is making right angle at C

Answer:

40 digree is the answer

brooo I think it will help u

Answer:

D. 5.6 ft

Step-by-step explanation:

Answer:

0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.

Step-by-step explanation:

Answer:

B. 31r − 71 is the answer!

Eu faço a mínima ideia fico

Answer:

la respuesta es la letra B amigo mio

Answer:

The value of the highest degree ( x^9) is 9 - odd.

So this well rise from negative infinity on the left and rise to positive infinity on the right - or, putting it in a different way, fall to the left and rise to the right.

Answer:

Step-by-step explanation:

Answer:

[tex]-\frac{3}{2}[/tex] < x or x > 4

Step-by-step explanation:

Convert the inequality to an equation.

2x² - 5x = 12

2x² - 5x - 12 = 0

Factor by grouping.

(2x + 3)(x - 4) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x + 3 = 0

x - 4 = 0

Solve for x.

x = -3/2

x = 4

Use each root to create test intervals.

The solution consists of all of the true intervals.

[tex]-\frac{3}{2}[/tex] < x or x > 4

good luck, i hope this helps :)

Answer:

Percent error = 15.79%

Step-by-step explanation:

Given the following data;

Experimental value = 12cm

Actual value = 14.25cm

To find the percentage error;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]

Substituting into the equation, we have;

[tex] Percent \; error = \frac {12 - 14.25}{14.25} *100[/tex]

[tex] Percent \; error = \frac {2.25}{14.25} *100[/tex]

[tex] Percent \; error = 0.1579 *100[/tex]

Percent error = 15.79%

Step-by-step explanation:

the answer for ur question is:

82(4)+2

Answer:

x=3

Step-by-step explanation:

Step-by-step explanation:

starting salary = $35,000

raise in 1 year = $2500

raise in 7 year = $17,500

salary on 7th year = $35,000 + $17,500

= $52,500

Answer:

çoook yardım etmek isterdim ama biz kesirlerde bu konuyu daha işlemedik çok özür dilerim

Answer:

I believe the answer is 32x+24 correct me if im wrong

Step-by-step explanation:

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

Answer:

hzyuzj ahuaaia hs7w8aijw. hu7sisj. shususijs bhsusj

Answer:

lo siento, no lo sé

Step-by-step explanation:

Answer:

mate I will surely help if nut pls translate it in English as I can barely read hindi