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2 years ago

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Mathematics

1 answer:

shepuryov [24]2 years ago

8 0

$\huge \bf༆ Answer ༄$

The given triangles are similar by ~

$\textsf{SSS criteria }$

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A chef uses 3 3/4 pounds of semolina flour and 1 5/8 pound whole wheat flour for each batch of pasta she makes.one week she uses

Maurinko [17]

It is to be noted that for this item, we more concern of the pounds of flour. The number of batches is calculated by dividing the total mass of flour used by the amount per batch. That is,
n = 86 lbs / (1 + 5/8 lbs/batch)
n = 52.92 batch
Thus, the chef makes approximately 53 batches of pasta.

4 0

3 years ago

The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop

ella [17]

The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2= Σ(x-mean)^2
n

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations.

Data: 90, 75, 72, 88, 85 n= 5
Mean=Σx
n
Mean = 90+75+72+88+85 = 410 = 82
5 5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two.

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

x mean x-mean (x-mean)^2
90 82 8 64
75 82 -7 49
72 82 -10 100
88 82 6 36
85 82 3 9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

6 0

3 years ago

State a reason why a number does not belong with the others. 32 64 81 144

KiRa [710]

Answer : 81 because it is the only one that is not a multiple of 4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

an antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

arlik [135]

20.3 yards per second.

5 0

3 years ago

What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

$\rm A = P(1+\dfrac{r}{n})^{nt}$

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

$\rm A = P(1+\dfrac{r}{n})^{nt}$

$\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}$

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

brainly.com/question/24924853

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3 0

2 years ago

Not enough INFO sas sss​

Not enough INFO sas sss