How many numbers lie between the squares of 39 and 40

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

[tex]\sqrt{225\\[/tex]

hypotenuse = 15

Answer:

0.46017

Step-by-step explanation:

Given :

Mean score = 75

Standard deviation, s = 10

Areum's score = 76

Probability of scoring higher than Areum is given by :

P(x > 76)

The standardized score : (x - mean) / standard deviation

P(x > 76) = P[Z > (76 - 75) / 10]

P[(Z > 0.1)] = 0.46017 (Z probability calculator)

= 0.46017

Answer:

To convert kilometres to metres, divide the value by 1000.

0.7 ÷ 1000 = 700 metres

Kayli swam 700 meters in the swimming pool

Hope this helps!

Answer:

The answer in each numeral is:

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

The first answer is 28, now we'll continue with the next exercises:

In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.

Answer:

x = 6, y = 12

x = 7  y = 14

Step-by-step explanation:

im pretty sure that right, hope this helps!

Answer:

a)

The null hypothesis is [tex]H_0: \mu \leq 10[/tex]

The alternative hypothesis is [tex]H_1: \mu > 10[/tex]

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

[tex]H_0: \mu \leq 10[/tex]

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

[tex]H_1: \mu > 10[/tex]

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that [tex]\mu = 10[/tex]

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that [tex]n = 45, X = 10.5, s = 1.8[/tex]

Then

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}[/tex]

[tex]t = 1.86[/tex]

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

Step-by-step explanation:

a + b = 90

a + c = 180

a) If a = x, the. we can write

x + b = 90 and x + c = 180

or

b = 90 - x

c = 180 - x

b) c - b = (180 - x) - (90 - x)

= 180 - x - 90 + x

= 90

Answer:

There was a profit of ₹750.

Step-by-step explanation:

325 bags of white cement

Profit of 10 for each bag of white cement. So

[tex]P = 325*10 = 3250[/tex]

500 bags of grey cement.

Loss of 5 for each bag of grey cement. So

[tex]L = 5*500 = 2500[/tex]

What is its profit or loss?

3250 - 2500 = 750

Positive, so profit. There was a profit of ₹750.

The required, solution set to the given equation is {4}. Option A is correct.

A logarithmic function is a mathematical function that represents the logarithm of a number with respect to a given base. In other words, it is a function that relates a number to its logarithm. The general form of a logarithmic function is f(x) = logₐ(x).

Using the product rule of logarithms, we can combine the two logarithms on the left-hand side of the equation:

log2(x - 2) + log2x = log2[(x - 2) * x] = log2(x² - 2x)

So the given equation becomes:

log2(x² - 2x) = 3

2³ = x² - 2x

8 = x² - 2x

x² - 2x - 8 = 0

Factor this quadratic equation as:

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

x - 4 = 0, which gives x = 4

x + 2 = 0, which gives x = -2

However, the logarithm function is only defined for positive values of x, so the only possible solution is:

x = 4

Therefore, the solution set to the given equation is {4}.

Learn more about logarithmic function here:

https://brainly.com/question/30284289

#SPJ2

Answer:

Fraction of money spent on calculator = 2/5

Find the fraction of money left:

1 - 2/5 = 3/5

Find the fraction of money spent on a book:

4/7 x 3/5 = 12/35

Answer: She spent 12/35 of the money on a book

------------------------------------------------------------------------------------------------

To find the fraction of saving:

Fraction of money saved = 1 - calculator - book

Fraction of money saved = 1 - 2/5 - 12/35 = 9/35

Fraction of the money saved = 9/35

Step-by-step explanation:

Given:

The system of inequalities is:

[tex]y>-\dfrac{1}{3}x+1[/tex]

[tex]y>2x-3[/tex]

To find:

The graph of the given system of inequalities.

Solution:

We have,

[tex]y>-\dfrac{1}{3}x+1[/tex]

[tex]y>2x-3[/tex]

The related equations are:

[tex]y=-\dfrac{1}{3}x+1[/tex]

[tex]y=2x-3[/tex]

Table of values for the given equations is:

    [tex]x[/tex]                   [tex]y=-\dfrac{1}{3}x+1[/tex]             [tex]y=2x-3[/tex]

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of [tex]y=-\dfrac{1}{3}x+1[/tex].

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of [tex]y=2x-3[/tex].

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

Answer:

x = 10

Step-by-step explanation:

y = 2x + 1

21 = 2x + 1

21 - 1 = 2x

2x = 20

x = 10

Answer:

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured by machine A.

Six percent of all the parts are defective.

This means that [tex]P(A) = 0.06[/tex]

Probability that a part is defective and was manufactured on machine A

3% of the parts manufactured on machine A are defective, manufacture A is responsible for 50% of the parts. So

[tex]P(A \cap B) = 0.03*0.5 = 0.015[/tex]

Find the probability that a part was manufactured on machine A, given that the part is defective.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.06} = 0.25[/tex]

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.

Answer:

[tex]F^{-1} (x) = 2x + 12[/tex]

Step-by-step explanation:

Let's assume F(x) = y, then

[tex]y = \frac{1}{2} x - 6[/tex]

Let us solve the equation for x.

[tex]y + 6 = \frac{1}{2} x[/tex]

[tex]2y + 12 = x[/tex]

Next, replace y with x and also replace x with F⁻¹(x)

Answer: [tex]F^{-1} (x) = 2x + 12[/tex]

Answer: 9 gallons

Step-by-step explanation:

How many gallons needed for small car: 375/32 = 11.7 or 12

How many gallons for large car: 375/18 = 20.8 or 21

21-12 = 9

Answer:

an exterior angle is equal to the sum of the two opposite interior angles.

3y + 11 + 4y = 116

Step-by-step explanation:

First combine like terms 7y + 11 = 116

Then undo addition or subtraction.

Then undo multiplication and division to get the value of y.

Find the perimeter or circumference and area of each figure. Round to the nearest tenth.

The circumference of a circle with radius r is given by C = 2πr. The radius of the circle is 4 in.

Substitute 4 for r.

[tex]\sf{C=2πr}[/tex]

[tex]\sf{ \: \: \: \: =2π(4)}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{darkviolet}{25.1}}}[/tex]

The circumference of the circle is about 25.1 in.

The area of a circle with radius r is given by A = πr².

Substitute 4 for r.

[tex]\sf{A = πr²}[/tex]

[tex]\sf{ \: \: \: \: = π(4)²}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{magenta}{50.3}}}[/tex]

The area of the circle is about 50.3 in².

#Hope it helps!

(ノ^_^)ノ

Answer: 63 miles

Step-by-step explanation: 21 miles x 3 = 63 miles

you times it by 3 because to get 3 gallons to 9 gallons, you have to multiply it by 3

Answer:

5 days

Step-by-step explanation:

75 = 10d +25

-25           -25

50 = 10d

/           /

10        10

5 = d

Answer:

36 cm

Step-by-step explanation:

if p is perimeter then 10+13+13=36 is the correct answer

Answer:

Step-by-step explanation:

X                  Y                 X²                              Y²                  XY

993              50               986049                 2500              49650

995              60               990025                 3600              59700

994              60               988036                  3600              59640

1006             40               1012036                 1600              40240

942             120               887364                 14400              113040

1002             40               1004004                 1600              40080

[tex]\sum X: 5932[/tex]   [tex]\sum Y : 370[/tex]     [tex]\sum X^2 : 5867514[/tex]    [tex]\sum Y^2 = 27300[/tex]    [tex]\sum XY : 362350[/tex]

To determine the regression:

[tex]Mean \ (X) = \dfrac{\sum X }{n} \\ \\ = \dfrac{5932}{6} \\ \\ = 988.67[/tex]

[tex]Mean \ (Y) = \dfrac{\sum Y}{n} \\ \\ = \dfrac{370}{6} \\ \\ = 61.67[/tex]

Intercept [tex]b_o = \dfrac{\sum YX *\sum X^2 - \sum X \sum Y}{n(\sum X^2) - (\sum X)^2}[/tex]

[tex]=\dfrac{370(5867514) -(5932)(370)}{6(5867514) - (5932)^2}[/tex]

= 131760.9563

Slope [tex]b_1 = \dfrac{n(\sum XY) -(\sum X *\sum Y) }{n(\sum X^2)-(\sum X)^2}[/tex]

[tex]b_1 = \dfrac{6(362350) -(5932*370) }{6(5867514)-(5932)^2}[/tex]

[tex]b_1 = -1.2600[/tex]

The regression line equation [tex]Y = b_o +b_1X[/tex]

[tex]Y = 131760.96 -1.2600 X[/tex]

We then make a comparison of the slope of the equation to y = mx+c

slope of the equation = -1.2600

the y-intercept corresponds to when X = 0, thus:

y-intercept = 131760.9563

Yes, it is reasonable to interpret the y-intercept of the regression line, Using atmospheric pressure as an explanatory variable due to the fact that:

X is the independent variable and Y exists as the dependent variable.

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Answer:

0.79

Step-by-step explanation:

Given the probability distribution :

Payment Methd: Cash Credit Cards Debit Cards Proportion : ____0.11 ____ 0.43 _____0.21

The probability that a customer did not pay with debit card can be obtained as :

If customer did not pay with debit card, then he would have paid with any of the other payment methods

This Can best be obtained using the complement method

P(not debit card) = 1 - P(debit card)

P(debit card) = 0.21

P(not debit card) = 1 - 0.21

P(not debit card) = 0.79

The Answer is -0.985

I just took the test.

Answer:

-4 , -1 , -2 , 0 , +1 , +3

Step-by-step explanation:

Answer:

the integers -4,-2,-1,0, +1, +3

Step-by-step explanation:

because when you put them in order  you find which pairs are located between -5 and +5

-8,-4,-2,-1,0,+3,+8,+9

which tells you that

-4,-2,-1,0, +1, +3 are between -5 and +5

Answer:

trffhuuuygreertttf 5

Step-by-step explanation:

fffffffftfdeerrr10

Answer:

1 . EF is a secant of OX

2. DF is a chord of OX.

3. AABC is made of tangents to OX

4. ∠DEF is an inscribed angle of OX.

Step-by-step explanation:

Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.

Answer: 320ft^3

Step-by-step explanation:

Assuming the pyramid is just a normal rectangular pyramid and isn't made of stairs...

10x8x12/3 = 320 ft^3

Answer:

The inequality that represents the graph must have the following form:

[tex]y > -4\cdot x + 6[/tex]

Step-by-step explanation:

First, we need to determine the equation of the line which represents the "lower" bound of the inequality:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, horizontal axis.

[tex]y[/tex] - Dependent variable, vertical axis.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

Given two distinct points of the line, we can solve for both slope and intercept: [tex](x_{1}, y_{1}) = (1, 2)[/tex], [tex](x_{2}, y_{2}) = (0, 6)[/tex]

[tex]m + b = 2[/tex] (2)

[tex]b = 6[/tex] (3)

The solution of the system is: [tex]m = -4[/tex], [tex]b = 6[/tex]

Then, the inequation must have the following form:

[tex]y > -4\cdot x + 6[/tex]