Recall information from the previous task. A snack-size bag of carrots has a mean weight of 1.75 ounces and a
standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure and found that her bag of snacks weighed 1.68 ounces. The Z-
score of Kendra's bag of carrots is -0.70.

Complete the statement interpreting the Z-score.
Kendra's bag of carrots is 0.70 —standard deviations—below—the mean weight.

Put the right answers up ^

The distances travelled in each hour for both part are given as 5760 m and 5.76 km respectively.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem can be solved by ratio method as follows,

(A)  The average walking rate is 1.6 m/s

The speed in meter per hour is calculated as,

1 second = 1/3600 hour

Take the ratio of 1.6 and 1/3600 as follows,

1.6 ÷ 1/3600

= 3600 × 1.6

= 5760

(B) The average walking rate is 1.6 m/s

It implies that 1.6 m in 1 second.

Now, 1 m = 1/1000 km

=> 1.6 m = 1.6/1000 km

And, 1 second = 1/3600 hour

Thus, the distance travelled in kilometer per hour can be evaluated by taking the ratio as follows,

1.6/1000 ÷  1/3600

= (3600 × 1.6)/1000

= 5.76

Hence, the distances travelled per hour in meter and kilometer are given as 5760 m and 5.76 km respectively.

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Answer:

34% of scores should fall between your score and the mean.

Step-by-step explanation:

Let X denote the score.

It is provided that X follows a normal distribution with mean 110 and standard deviation 15.

A students score, x = 95.

Compute the probability of scores that should fall between the student's score and the mean as follows:

\(P(95<X<110)=P(\frac{95-110}{15}<\frac{X-\mu}{\sigma}<\frac{110-110}{15})\)

                            \(=P(-1<Z<0)\\\\=P(Z<0)-P(Z<-1)\\\\=0.50-0.15866\\\\=0.34134\\\\\approx 0.34\)

Thus, 34% of scores should fall between your score and the mean.

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

Answer: 39%

Step-by-step explanation:

using calculator

1 seat = 0.058%
1700 - 1037 = 663 seats are taken.

0.058% x 663 seats = 39%

The data set that is best fitted by the regression line is; Data Set B

Residuals are described as the distance of  each point from the regression line.  Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.

Graph C has points that are not tightly centered around a line.  This is not a good fit.

Graph A has a straight line; it is not a good fit.

Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.

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Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Answer:

-1/4 (16-12+8x) =19

Step-by-step explanation:

Answer:

Gogogigi

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

I have done the MAPS Testing

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer:

-2 | 7

0 | -1

3 | -13

-1 | 3

Step-by-step explanation:

i just did this question

Answer:

Look at the pic I attached

Step-by-step explanation:

Answer:

The equation is y = -x - 5.

Step-by-step explanation:

First find the slope by doing -3-0 over -2 - (-5) which can be simplified to -3-0 over -2+5. You'll get -3/3 which equals -1. Then, use slope intercept form which is y = mx + b. Substitute your values. X = -2, Y = -3, and M = -1. After substituting your values, your equation should look like this: -3 = -2(-1) + b. Your solving for b. -2 x -1 = 2. -3 = 2 + b. -3 - 2 = -5. B = -5. In the end, your equation should be y = -1x - 5.

Answer:

uhhh i got 113.09, so im assuming its 113.04

This is strange there's some sort of mistake with I-ready

Step-by-step explanation:

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

D.Z

u see how they have line in between as well, shows that they are going by 5 so 2.0 and then 2.5

and if it was asking for -2.5 which is negative two point five, you would choose A.U

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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Answer:

x = 3

Step-by-step explanation:

3x + 4 = 13

3x = 13 - 4

3x = 9 / : 3

x = 3

Given:-

\( \: \)

Solution:-

\( \: \)

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\({ \colorbox{lightgreen}{ \: \: \: \: \: x \: \: \: \: \: }} = \colorbox{yellow}{1} \: \colorbox{yellow}{1} \: \colorbox{yellow}{1} \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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We are given the equation,

(3x + 15) + (4x - 9) = 90; Find x

Firstly, we need to open the parentheses

3x + 15 + 4x - 9 = 90

Secondly, we need to collect the like terms

3x + 4x + 15 - 9 = 90

7x + 6 = 90

Make 7x the subject of the formula

7x = 90 - 6

7x = 84

Divide both sides by 7

7x/7 = 84/7

x = 84/7

x = 12

The answer is 12

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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The little lines theu each section are telling you all those sections are identical, which mean they are the same length.

You are told one section is 10, which means x is also 10

X = 10

Answer: prob cheatin' on you

Step-by-step explanation: or died-

Answer: y = -2x + 1

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.

Hope this helps! Have a great day! :)