In Cleveland, a sample of 73 mail carries showed that 10 had
been bitten by an animal during one week. In Philadelphia in a
sample of 80 mail carries, 16 had received animal bites.
a) At a = 0.05, is

We can expect that about 15 out of the 50 people we observe would be talking on their cell phones while driving.

To calculate this, we simply multiply the proportion of people who talk on their cell phones while driving (30%) by the number of people we are observing (50):

30% * 50 = 0.30 * 50 = 15

Therefore, we can expect to see approximately 15 out of the 50 people we observe talking on their cell phones while driving. It is important to note that this is only an estimate and may not be exactly accurate due to random variation.

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The results would be statistically valid if the p-value is less than the level of significance (α).

If the p-value is less than α, then we can reject the null hypothesis and conclude that the alternate hypothesis is true.

Let us understand the steps we need to take to infer the standard deviation of WISC-III.

It is given that the Wechsler Intelligence Scale for Children (WISC) is a common test used to measure the IQ of children between the ages of 6 and 16 years of age.

The developers of the WISC claim a population standard deviation of 15.

Step 1: Calculate the t-value and degree of freedom.

Given: Sample size (n) = 30Degree of Freedom (df) = n - 1 = 30 - 1 = 29

Confidence Interval = 90%t - value = 1.699 (from the t-distribution table)

Step 2: Calculate the margin of error

Margin of error (E) = t-value * (Sample Standard Deviation / sqrt(n)) = 1.699 * (16 / sqrt(30)) = 5.027Step 3: Calculate the Confidence Interval

Lower limit = Sample Standard Deviation - Margin of Error

Upper limit = Sample Standard Deviation + Margin of Error

Lower limit = 16 - 5.027 = 10.973

Upper limit = 16 + 5.027 = 21.027

Therefore, the 90% Confidence Interval for the true standard deviation of the WISC is 10.973 to 21.027.

What would need to be true for your results in part a to be statistically valid:

In order for the results in part a to be statistically valid, the null hypothesis needs to be rejected.

The null hypothesis states that the population standard deviation is equal to 15.

The alternate hypothesis states that the population standard deviation is greater than 15.

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Answer:

3x²y

Step-by-step explanation:

Answer:

3x²y

Step-by-step explanation:

2•3•x•x•x•y

2•2•3•x•x•y•y

3•5•x•x•x•y•y•y

common factor: 3•x•x•y

The formula for the moose population, P, in terms of t (years since 1990), is P(t) = 340t + 4010. According to this linear model, the predicted moose population in 2006 would be 4990.

To find the formula for the moose population, we need to determine the equation of a line that represents the change in population over time. We have two data points: in 1993, the population was 4010, and in 1998, the population was 4310.

Using these two points, we can calculate the slope of the line, which represents the rate of change of the population over time:

slope = (4310 - 4010) / (1998 - 1993) = 300 / 5 = 60

The slope represents the change in population per year. Since the year 1990 is the reference point, we need to calculate the number of years, t, since 1990. For example, in 1993, t = 3, and in 1998, t = 8.

Using the slope-intercept form of a line, we have:

P(t) = slope * t + initial population

P(t) = 60t + 4010

To predict the moose population in 2006, we substitute t = 16 (since 2006 - 1990 = 16) into the equation:

P(16) = 60 * 16 + 4010

P(16) = 960 + 4010

P(16) = 4990

Therefore, the model predicts the moose population to be 4990 in 2006.

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When multiplying or dividing a number by 1,000, it is the same as moving the decimal point three places to the right or left, respectively.

When multiplying a number by 1,000, it is the same as moving the decimal point three places to the right. This can be represented through the formula x * 1000 = x/1000. For example, if the number is 5, then 5 * 1000 = 5,000. This is the same as moving the decimal point three places to the right of 5, which results in 5.000. The same concept can be applied when dividing a number by 1,000. For example, if the number is 5,000, then 5,000 / 1000 = 5. This is the same as moving the decimal point three places to the left of 5,000, which results in 5.000. Therefore, when multiplying or dividing a number by 1,000, it is the same as moving the decimal point three places to the right or left, respectively.

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Answer:

5x^2 - 40x

Step-by-step explanation:

5x (x-8)

5x^2 - 40x

Answer:

2/3x

Step-by-step explanation

Answer:

(x³-3x²-3x-1) / (27x³)

Step-by-step explanation:

((x-1) / (3x))³

= (x-1)³ / /3x)³

(x-1)³ = (x-1)(x-1)(x-1) = x³ - 3x² - 3x - 1

then:

(x-1)³ / (3x³) = (x³-3x²-3x-1) / (27x³)

Answer:

Step-by-step explanation:

11. x = 8*sin60degree = 6.9

12. x = 6*tan30degree = 3.5

13. x = 25 / tan68degree = 10.1

14. x = 9/cos49degree = 13.7

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Answer:

18. LK = sqrt(16^2+24^2-2*16*24*cos29degree) = 12.7

19. m<H = 65.4

20. GF = 26.2

Step-by-step explanation:

The population of the city grew from 2010 to 2020 by 13.37 %

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.

The population in 2015 =

A = P (1+r)ⁿ

A = final population.

P = Initial population.

r = rate

n = time

The population in 2015 =

A = 237,000(1+0.076)⁵

A = 341829.629

The population in 2020 =

A = P (1-r)ⁿ

A = 341829.629(1-0.047)⁵

A = 268704.047

Percent grow = 268704.047 - 237,000 / 237,000 × 100

= 31704.047 / 237,000 × 100

= 13.37 %

Hence, the population of the city grew from 2010 to 2020 by 13.37 %

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Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by \(D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$\).

Therefore,

A = \((x_{1} , y_{1} )\) = (3, 2), B = \((x_{2} , y_{2} )\) = (-2, -3)

\(& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}\)  units

B = \((x_{1} , y_{1} )\) = (-2, -3), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}\)  units

A = \((x_{1} , y_{1} )\) = (3, 2), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}\)  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

\(& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\(& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

The number of randomly selected Americans that must be surveyed is equal to 38 if the confidence interval is 97.5% with a 0.16 margin of error.

First, we calculate the critical value as follows;

a = (1 - 0.975) = 0.025 = 0.025 / 2 = 0.0125 = (1 - 0.0125) = 0.9875

Z - Critical value = NORM.S.INV (0.9875) = 1.96

As margin of error(ME) = 0.16

Therefore;

n = pq(Z²) / ME²

n = 0.5 × 0.5 (1.96)² / (0.16)²

n = 0.25 × 3.8416 / 0.0256

n = 0.9604 / 0.0256

n = 37.515

Rounding it to the nearest whole number;

n = 37.515 = 38

Hence 38 randomly selected Americans must be surveyed if the estimated confidence interval is 97.5% and the margin of error is 0.16.

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Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = \( \frac{3}{2} \) miles

Time taken = ¾ hours

\(Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)\)

Answer:  

Exact form: 3/5

Decimal form: 1.6

Mixed number form: 1_ 2/3

Answer:

Step-by-step explanation:

\(f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9\)

Answer: D. 36

Step-by-step explanation: Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=360-120=240 degree.

The measurement of arc xyz is 240 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle .

In the given diagram, angle subtended on the circle by arc XZ=60 degree .

So arc XZ =2 times of 60

=2×60

=120.

The measurement of arc xyz=360-120=240 degree.

Hence, the measurement of arc xyz is 240 degrees.

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Answer:

3 is an answer believe me

Answer:

-108

Step-by-step explanation:

(-2)²(-3)³​

When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³​, it means (-3) multiplied by itself 3 times since the exponent is 3.

= (-2)(-2)(-3)(-3)(-3)

Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.

= (4)(-3)(-3)(-3)

= (-12)(-3)(-3)

= (36)(-3)

= -108

Therefore, the answer is -108.

I hope this helps!

The angles are x is 35° and y is 17° when the angles on protractor ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

Given that,

The angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

We have to find the angles.

An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the point at which two points converge. ​The name "angle" comes from the Latin word "angulus," which meaning "corner." ​

The ∠QUS = ∠QUR + ∠RUS

57°=x+22°

x=57°-22°

x=35°

Now, ∠QUT = ∠QUR + ∠RUS + ∠SUT

74°=35°+22°+y
y=74-35-22

y=17°

Therefore, The angles are x is 35° and y is 17° when the angles are given ∠QUT=74°, ∠RUS=22° and ∠QUS=57°.

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Answer:

Step-by-step explanation:

8.4*0.93

7.812 ounces

m∠3 = 180 - m∠8 = 180 - 123 = 57

m∠1 = m∠3 = 57°

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

Answer:

Volume= 4 cm³

Density= 2 g/cm³

Step-by-step explanation:

We have the following data:

volume= V= 8 cm³

mass= m= 16 g

The density is the mass per volume of a substance, so the density of the rock is:

density= d= 16 g/8 cm³= 2 g/cm³

When we cut the rock in half, we have a half volume and a half mass:

V= 8 cm³/2= 4 cm³

m= 16 g/2= 8 g

But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:

d = m/V= 8 g/4 cm³= 2 g/cm³

A list of dependent quantities from a table would include only those variables that are changing in response to the independent variable.

An explanation of independent and dependent variables in a table.

The independent variable is the variable that is changed or manipulated by the experimenter.

It is usually placed in the first column of the table.

The dependent variable on the other hand is the variable that changes in response to the independent variable.

It is usually placed in the second column of the table.

Let's say we are conducting an experiment to see how the time spent exercising affects the number of calories burned.

The independent variable would be the time spent exercising and the dependent variable would be the number of calories burned.

Our table might look something like this:

Time Spent Exercising (minutes) Calories Burned

10 100

20 200

30 300

40 400

"Time Spent Exercising" is the independent variable as it is the variable that we are changing.

"Calories Burned" is the dependent variable as it is the variable that is changing in response to the time spent exercising.

A list of dependent quantities from a table would include only those variables that are changing in response to the independent variable. Without seeing the specific table mentioned I cannot give an answer with complete accuracy but I hope this explanation helps clarify the concept of dependent and independent variables in a table.

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Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

Using Cramer's rule the values are:

a) b12 = -15/22

b) b22 = 1/22

c) bs2 = 5/22

d) b23 = -3/22

To find the entries of A-1, we can use Cramer's rule and the formula for computing inverse matrices. First, we need to compute the determinant of A using row reduction:

|1 0 5 3|

|0 1 3 2| = det(A)

|1 0 1 1|

|1 0 0 1|

We can reduce the matrix to upper triangular form by subtracting the first row from the third and fourth rows:

|1 0 5 3|

|0 1 3 2|

|0 0 -4 -2|

|0 0 -5 -2|

Now, the determinant of A is the product of the diagonal entries, which is (-4)(-2)(1)(1) = 8.

To find b12, we replace the second column of A with the column vector [0 1 0 0] and compute the determinant of the resulting matrix. We get:

|-15 0 5 3|

| 8 1 3 2| = b12 det(A)

|-11 0 1 1|

| 4 0 0 1|

Using the formula for 4x4 determinants, we can expand along the first column to get:

b12 = (-15)(-2)(1) + (8)(1)(1) + (-11)(0)(-2) + (4)(0)(5) = -15/22

Similarly, we can find b22, bs2, and b23 by replacing the corresponding columns of A with [0 1 0 0], [0 0 1 0], and [0 0 0 1], respectively, and computing the determinants of the resulting matrices using Cramer's rule. We get:

b22 = 1/22

bs2 = 5/22

b23 = -3/22

Therefore, the entries of A-1 are:

| -15/22 1/22 5/22 |

| 7/22 1/22 -3/22 |

| 1/22 -2/22 1/22 |

Note that we can also find A-1 directly using the formula A-1 = (1/det(A)) adj(A), where adj(A) is the adjugate matrix of A. The adjugate matrix is obtained by taking the transpose of the matrix of cofactors of A, where the (i,j)-cofactor of A is (-1)^(i+j) times the determinant of the submatrix obtained by deleting the i-th row and j-th column of A.

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Answer:

Yeo wsp

60g onions

40g carrots

1 tablespoon of oil

200 g tomatoes

.4 L vegetable stock

Step-by-step explanation:

You just divide everything by 3

1. ΔABD ≅ ΔCBD by SAS congruence theorem.

2. ΔABD ≅ ΔCBD by SSS congruence theorem.

The SAS Congruence Theorem and the SSS Congruence Theorem are two postulates used in geometry to determine whether two triangles are congruent. The SAS Congruence Theorem requires that two sides and the included angle of one triangle be congruent to two sides and the included angle of another triangle for them to be congruent.

The SSS Congruence Theorem requires that all three sides of one triangle be congruent to the corresponding sides of another triangle for them to be congruent.

1. With the given information, we can deduce that, both triangles have two pairs of congruent sides which are:

BD ≅ BD (based on reflexive property)

AB ≅ CB (midpoint definition)

<ABD ≅ <CBD (right angles are congruent)

Thus, we can conclude that ΔABD ≅ ΔCBD by SAS congruence theorem.

2. Given the new information, it means that the two triangles have three pairs of congruent sides which are:

AD ≅ CD (given)

BD ≅ BD (based on reflexive property)

AB ≅ CB (midpoint definition)

Therefore, ΔABD ≅ ΔCBD by SSS congruence theorem.

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ANSWER

True

EXPLANATION

We have that:

f(6) = 60

That means whatever f(x) is, when we put the value of x to be 6, we will get f(x) = 60.

So, to see if f(x) = 14x - 24 is a possible function, we will replace x with 6 and find out if we get 60:

f(6) = 14(6) - 24

f(6) = 84 - 24

f(6) = 60

As we can see, we got that f(6) = 60, so, it is true that it is a possible function.

Answer:

first thing: 1/2=2/4

then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)

then it's gonna be -3+2/4

answer= -1/4