The fifth grade art class is making quilts

Answer:

a) CA + ED = 74

Step-by-step explanation:

The complete question is attached in the image

Solution

Here the two circles R and D are congruent and thus their radius will be equal  

Hence, RA (radius of circle R ) = DE (radius of circle D)

Hence, CA + ED = CA + 42

Also, RC = CD  

CA = CE + RA  = 32

So, CA + EO = 32 +42 = 74  

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

Answer:

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

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.

Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.

This means that [tex]\mu = 32, \sigma = 7.5[/tex]

Sample of 34:

This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]

Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

This is the pvalue of Z when X = 30.5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a pvalue of 0.121

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Answer:

x=-45/11

y=10/11

Step-by-step explanation:

y = x + 9   eq 1

3x + 8y = -5   eq 2

Re arranging eq 1

x-y=-9

Now multiply  eq 1 with 8

8x-8y=-40   now call as eq 3

Add eq 2 and 3

3x+8y=-5

8x-8y=-40

11x=-45

x=-45/11

put value of x in eq 2 for y

 3(-45/11)+8y=-5

-135/11+8y=-5

8y=-5+135/11

8y=(-55+135)/11

8y=80/11

y=(80/11)*(1/8)

y=10/11

Check

3*(-45/11)+8*(10/11)=-5

-135/11+80/11=-5

(-135+80)/11=-5

-55/11 =-5

-5=-5

Answer:

b=18.76

Step-by-step explanation:

Let the line that splits the big triangle into two small triangles be x.

Let the unmarked side of the big triangle be y.

Consider the big triangle. By Pythagorus:

(6+16)²=b²+y²

484=b²+y²

y²=484-b²

Consider the small left triangle. By Pythagorus:

y²=6²+x²

y²=36+x²

x²=y²-36

Consider the small right triangle. By Pythagorus:

b²=16²+x²

b²=256+x²

b²=256+x²

b²=256+y²-36

b²=220+y²

b²=220+484-b²

2b²=704

b²=352

b=18.7616630393

b=18.76

Answer:

there are 21 students in her class.

Step-by-step explanation:

Since the 12 girls corresponds to the 4 in the ratio, I multiplied the 3 by three to get the amount of boys. then add the boys to the girls to get 21 students.

Answer:

36 in^3

Step-by-step explanation:

1) find the area of the triangle

A = (leg 1 x leg2)/2 = (3 x 4)/2 = 6 in^2

2) find the volume

V = base area x height = 6 x 6 = 36 in^3

Answer: you just need to do A=bh

Step-by-step explanation:

So you need to multiply the base by the height

Answer:

Read below :)

Step-by-step explanation:

Take 75 / 15. Then in that many times, they will meet again. The answer is 75/15 = 5, so at 7:15 AM , they will meet again. Think of this like Chemistry. There is a restricting reactant and a non restrictive reactant. If you have 200 slices of bread, and 150 slices of cheese, the bread could only support 100 sandwiches. You'd have 50 slices of cheese left over. So the bread is the restrictive, or, in this case, 75, and the cheese is the non-restrictive number, or, 15. Hope this helps :)

ANSWER IN THE SECOND SENTENCE. Please read to be able to answer the following problems

Answer:

117 degrees

Step-by-step explanation:

Two vertical angles will always equal each other.

So, set up an equation where angle A and angle B equal each other to solve for x:

5x - 3 = 4x + 21

5x = 4x + 24

x = 24

Plug in 24 for x in the expression represent angle A:

5(24) - 3

120 - 3

117

Answer:

Double Bar Graph

Step-by-step explanation:

Answer:

similar

Step-by-step explanation:

i took the test and it was right.

Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

Sum of all angles of a triangle is 180 degrees.

For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:

[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]

Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.

Learn more about similar triangles here:

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9514 1404 393

Answer:

  54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

  -(6m -54) = 54 -6m

Answer:

B.

Step-by-step explanation:

x+63=150

x+63-63=150-63

x=87

She needs 87 more dollars for her new phone.

Question: The variable k represents a value in the set {-2,-4,-6,-8}. Which value of k make 4(1.5-k)-10=56/2 a true statement?

Step-by-step explanation:

https://brainly.com/question/23369106

Answer:

$49.51

Step-by-step explanation:

The original price of the shoes is  $49.50.

The pricing scheme in which the cost of a thing (or service) is less than its marked price listed price is referred to as a "discount." Simply put, a discount represents a percentage off the advertised price. In consumer interactions, a discount is a type of product price reduction where customers have suggested a percentage of rebates on various goods to increase sales.

Given discount = 5%

sale price  = $47.03

to find original price

discount is given by

Discount (percentage) = (List Price - Selling Price)/ List Price x 100

5% = 1 - SP/LP

SP/LP = 1 - 5%

47.03/LP = 1 - 5/100

LP = (47.03 x 100)/95

LP = $49.50

Hence the original price of the shoes is $49.50.

Learn more about discount;

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Answer:

2

Step-by-step explanation:

2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

To know more about an exponential function follow

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Answer:

Do you mean 63 over 100? If it you mean that the answer is 63%

1247.5

Hope this helps :T

Answer: [tex]\dfrac{20}{7}[/tex]

Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is [tex]x[/tex]

On solving

[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]

Answer:

$377.86

Step-by-step explanation:

Given: Video game system costs $350, sales tax rate is 796.

To find: Final cost

Solve: Calculating Total Cost. Multiply the cost of an item or service by the sales tax to find out the total cost.

                                           3.5  × 7.96 = 27.86

Add the total sales tax to the Item or service cost to get your total cost.

                                           27.86 + 350 = 377.86

The final cost is $377.86

Answer:200

Step-by-step explanation:

100 x 2

the cube of it is five my five by four and you'll get your answer

Answer:

it 3

Step-by-step explanation: