What is 7/8 of 2121?

Answer:

28

Step-by-step explanation:

So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.)

Answer:

this is hard i think its is 28

Step-by-step explanation:

because i put 128 and got it correct

Answer:

prime

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Answer:

the number 13 is a prime number

Answer:

x=8

Step-by-step explanation:

Hello

As they are similar we can write

\(\dfrac{18}{12}=\dfrac{9}{6}=\dfrac{6}{4}=\dfrac{12}{x} \ so\\\\x = \dfrac{2*12}{3}=2*4=8\)

Hope this helps

Answer:

x = 8

Step-by-step explanation:

The sides of the polygon are similar, meaning each side corresponds with the same side of the smaller polygon.

ex. PQ≈TU , QR≈UV , etc.

Because of this the sides RS and VW are also similar, the polygon is simply being scaled down by 1.5

9÷1.5 = 6 , 6÷1.5 = 4

therefore the side length VW is a scaled down version of RS meaning you take the length of RS , which is 12 , and divide it by 1.5

12 ÷ 1.5 = 8

Hope this helped!

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

the answer is 50

Step-by-step explanation:

Answer:

A.

The first 5 terms:

B.

The first 5 terms:

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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The body mass index of the patient who weighs 68kg and is 60 inch tall is 29.3 kg/m².

This question is incomplete, the complete question is;

What is the body mass index IBM of a patient who weighs 68kg and is 60 inch tall?

Body mass index IBM is simply a measure of body fat of a person.

Its is calculated using the mass and height of a person.

It can be calculated using the formula;

BMI = Mass (kg) / Height² (m)

Given the data in the question;

Plug the given values into the above formula and simplify.

BMI = Mass (kg) / Height² (m)

BMI = 68kg / ( 1.524m )²

BMI = 68kg / 2.322576 m²

BMI = 29.3 kg/m²

Therefore, the BMI of the patient is 29.3 kg/m².

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Answer:

x=70

Step-by-step explanation:

Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).

We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:

x+35=105

Subtract both sides by 35

x+35-35=105-35

x=70

Therefore, the value of x is 70 degrees.

I hope this helps!

Step-by-step explanation:

Let \(P_1(-1, -8)\:\text{and}\:P_2(-4, -9)\)

The slope of the line through these two points is

\(m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}\)

So the slope-intercept form of the line passing through the two points is

\(y = mx + b = \frac{1}{3}x + b\)

To find b, we use either point into our equation. Let's use (-1, -8):

\(-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}\)

Therefore, the slope-intercept form of the equation for the line is

\(y = \dfrac{1}{3}x - \dfrac{23}{3}\)

The standard form of the equation can be written as

\(x + 3y + 23 = 0\)

The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of dog treats in the shop = 6157

Number of treats per bag = 7

Extra treats will be given to the groomer.

Then, the number of bags will be,

6157/7 = 879.57

This means that a total of 879 bags are there, with 7 pieces of treats per bag.

So, the total number of treats in 879 bags will be,

879 × 7 = 6153

So, the amount of treats left for the groomer is,

6157 - 6153 = 4 treats.

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Answer:

\(P(7000<\bar X<7500)\)

And we can use the z score formula to solve this problem

\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z = \frac{7000-7200}{\frac{1200}{\sqrt{30}}}= -0.913\)

\( z = \frac{7500-7200}{\frac{1200}{\sqrt{30}}}= 1.369\)

And we can find this probability with the normal standard distribution and with this difference:

\(P(-0.913<z<1.369)=P(z<1.369)-P(z<-0.913)= 0.9145 -0.1806= 0.7339\)

Step-by-step explanation:

Let X the random variable that represent the daily revenue of a population, and for this case we know the distribution for X is given by:

\(X \sim N(7200,1200)\)  

Where \(\mu=7200\) and \(\sigma=1200\)

We are interested on this probability

\(P(7000<\bar X<7500)\)

And we can use the z score formula to solve this problem

\(z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z = \frac{7000-7200}{\frac{1200}{\sqrt{30}}}= -0.913\)

\( z = \frac{7500-7200}{\frac{1200}{\sqrt{30}}}= 1.369\)

And we can find this probability with the normal standard distribution and with this difference:

\(P(-0.913<z<1.369)=P(z<1.369)-P(z<-0.913)= 0.9145 -0.1806= 0.7339\)

The number of outfits she can buy is 3.

The The first step is to determine the total cost of all the items already bought.

Total cost = cost of new bicycle + (cost of one reflector x number of reflectors) + cost of the gloves

$488.20 + (2 x $11.17) + 19.05

$488.20 + 19.05 + $22.34 = $529.59

Now, determine the amount that is left to buy the outfits :

$660 - $529.59 = $130.41

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≤

(cost of one outfit x number of outfits)  ≤ amount left

$37.26x ≤ $130.41

x  ≤ 130.41 / 37.26

x  ≤ 3.5

x = 3

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9514 1404 393

Answer:

  144

Step-by-step explanation:

The first 9 terms are ...

  0 4 8  12 16 20  24 28 32

The average term is (32+0)/2 = 16.

The sum is the product of the number of terms and the average term:

  S9 = 9×16 = 144

The sum of the first 9 terms is 144.

Answer:

40

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent, so the other base angle is also 70 degrees.

This means that the interior angles are 70, 70, and x

Since the sum of the measures of the angles of a triangle is 180 degrees,

70+70+x=180

140+x=180

x=40

============================================

Work Shown:

\(\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\\)

When dividing fractions, you flip the second fraction and multiply (step 2).

Note in the last step, the 7's cancel out.

Answer:

2÷3

Step-by-step explanation:

=2÷7×3÷7

= 7 of the denominator will be cancelled

=hence, 2÷3 is the answer

The surveyors are really interested in all registered boters in Huntsville, therefore the first answer is F.

Since they are only doing a sample of people with phones the real population is all registered voters with telephones, therefore the second answer is C.

The sample for this survey is the 550 voter surveyed.

To find the proportion of people who said they vote for brown we divide the number of this people by the total of people surveyed:

Therefore the proportion was 0.4418

Answer:

The most likely solution sought is 13:

Beginning with 3: subtract 9, add 18, subtract 8, add 16, subtract 7, add 14, etc. Each time, reduce the number subtracted by one, and double that number to add.

So, beginning with 3: 3-9 = -6, -6+2(9) = 12, 12-8 = 4, 4+2(8) = 20, 20-7 = 13, etc.

*****

Step-by-step explanation:

3, -6, 12, 4, 20, 11, 30

Explantion:

the difference between 3 and -6 is 9 same as 12 and 4 so you are going to take 9 away from 20 then you should end up will 11

the difference between -6 and 12 is 19 same as 4 and 20 so you are going to add 19 to 11 and you should get 30

I hope I answered your question, it should all be correct but if not please let me know

Answer:

5400.00

Step-by-step explanation:

Answer:

5400.00

Step-by-step explanation:

Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

The probability of drawing even number cards is 1/2.

Probability is "possibility that deals with occurrence of random events".

According to the question,

Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up.

Numbers of space = 1,2,3,4,5,6

Even numbers are 2, 4, 6 and odd numbers are 1, 3, 5.

To find Probability of drawing even number cards is equal to number of units of even number cards is divided by total number of units of cards.

Probability of even numbers of cards = 3/6

= 1/2

Hence, Probability of even numbers of cards is 1/2.

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For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

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Answer:

The answer is C.

Step-by-step explanation:

If you type into the calculator for sin(40), you will get approximately 0.64 if you round it to 2 decimal places :

\( \sin(40) = 0.6427876097\)

\( \sin(40) ≈ 0.64\)

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

We can use the formula: is/of = %/100.

% = 60

of = 160

\(\frac{x}{160}=\frac{60}{100}\)

100x = 9600

x = 96

96 students participated in the fundraiser.

As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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The transformation that result to moving from  f(x) = x ^ 2 to g(x) = (4x) ^ 2 is

information from the question

Transformation from f(x) = x ^ 2

resulting to g(x) = (4x) ^ 2

The transformation rule given is multiplying 4 to the f(x)

since 4 > 1 the transformation is a sketch

when the stretch is not limited to the x variables alone then we say it is a vertical stretch

applying the rule

f(x) = x ^ 2 * k

if k  > 1 then a stretch occurs

g(x) = k x ^ 2

This is a vertical stretch using 4 as the factor

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The inverse statement is false.

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Answer:

I might be wrong, but most likely diameter

Answer: The answer is the second one. Therefore, is RADIUS.

Answer:

216

Step-by-step explanation:

To find the volume of the pyramid we have to do length * width * height / 3

The length is 9yd

The width is 8yd

The height is 9yd

So 9 * 9 * 8 = 648

648 / 3 = 216