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3 years ago

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

Mathematics

2 answers:

diamong [38]3 years ago

3 0

Answer:

B) 8.9 lbs

C) 9.5 lbs

D) 9.8 lbs

E) 10.4 lbs

Step-by-step explanation:

From the graph, 9.5 is the mean of the sample and 0.5 is the standard deviation of the sample.

As we have to find the weights that lie within the 2 standard deviations of the mean i.e

$=9.5\pm 2(0.5)$

$=8.5,10.5$

Among the given weights only 8.9 lbs, 9.5 lbs, 9.8 lbs, 10.4 lbs will lie within 2 standard deviations of the mean.

anyanavicka [17]3 years ago

3 0

Answer:

Step-by-step explanation:

8.9

9.5

9.8

10.4

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Help please and thank you

Akimi4 [234]

-6×-6=36
f-34=36
34+36=70
f=70

7 0

3 years ago

Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:

puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

$Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}$

Here,

Y = dependent variable

$X_{1}$ and $X_{2}$ = independent variables

$X_{1}X_{2}$ = interaction term

$b_{1},\ b_{2}\ and \ b_{3}$ = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable ( $X_{1}$ or $X_{2}$ ) on the dependent variable (Y) differs every time with different value of the other independent variable ( $X_{1}$ or $X_{2}$ ) .

The provided regression equation is:

$Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}$

$Y_{i}$ = dependent variable

$D_{1i}$ and $D_{2i}$ = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables $D_{2i}$ , i.e. the gender of the $i^{th}$ person.

Thus, the correct option is (A).

3 0

3 years ago

Which statement below about roots is false.Immersive Reader (5 Points) Simplified radicals have a positive and a negative root.

scoray [572]

Answer:

Statement (B)

Step-by-step explanation:

Which statement below about roots is false?

Let's arrange the statements by assigning option-letters a, b, c, d to them.

(A) Simplified radicals have a positive and a negative root.

This is true, as the root of any number is either a positive or a negative; especially if the rooting index is an even number like 2 or 4. For example, the square root (when the index is 2) of 9 is either +3 or -3. To check, find their squares. +3 x +3 = 9 and -3 x -3 = 9.

(B) A radicand is the symbol used when working with roots.

This statement is false, as the name for the symbol used in root operations is "radical symbol". A radicand is the number or expression whose roots are about to be found. It is the expression that lies under or inside the radical symbol!

Exponents are the powers to which mathematical expressions are raised. Roots are the indexes by which mathematical expressions are divided. Exponents are hence the opposites or inverses of roots.

(D) Roots can be squared, cubed, quadrupled, or raised to higher powers.

Yes! The root of a mathematical expression or figure can be raised to any number or power, be it 2 (square), 3 (cube), 4 (quadruple), 5 (quintuple) or 100 (cent).

4 0

3 years ago

Rewrite the following expression.

faust18 [17]

We have been given the expression

$x^{\frac{9}{7}}$

We have the exponent rule

$x^{\frac{a}{b}}= x^{a^{(\frac{1}{b})}}$

Using this rule, we have

$x^{\frac{9}{7}}= x^{9^{(\frac{1}{7})}}$

Now, using the fact that $x^{\frac{1}{n}}=\sqrt[n]{x}$ , we get

$x^{\frac{9}{7}}= \sqrt[7]{x^9}\\
\\
x^{\frac{9}{7}}=\sqrt[7]{x^7\times x^2}\\
\\
x^{\frac{9}{7}}=x\sqrt[7]{x^2}$

D is the correct option.

6 0

3 years ago

Read 2 more answers

A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.

charle [14.2K]

<h3>Answer: Approximately 56 inches</h3>

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

Explanation:

The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.

We'll use the tangent rule to connect the opposite and adjacent sides.

tan(angle) = opposite/adjacent

tan(13) = 13/x

x*tan(13) = 13

x = 13/tan(13)

x = 56.309186365694

x = 56 inches is the approximate horizontal distance underneath the ramp

5 0

3 years ago