Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?

Answer: i think its D

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

42/2 = 21

34-21 = 13

Answer:

The slope of side w is: ¼

The slope of side z is: -4

The slope of side x is: ¼

The slope y is : -4

Step-by-step explanation:

Slope of w between (-1, 5) and (-5, 4):

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 5}{-5 -(-1)} = \frac{-1}{-4} = \frac{1}{4} \)

Slope of x between (-3, -4) and (1, -3):

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-4)}{1 -(-3)} = \frac{1}{4} = \)

Slope of y between (-3, -4) and (-5, 4):

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-4)}{-5 -(-3)} = \frac{8}{-2} = -4 \)

Slope of z between (1, -3) and (-1, 5)):

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-3)}{-1 - 1} = \frac{8}{-2} = -4 \)

The slope of side w is

1/4

The slope of side z is

-4

The slope of side x is

1/4

The slope of side y is

-4

Step-by-step explanation:

it just is

The simplification of the expression, ∛8x⁴y⁸ / 125 is \(\frac{2\sqrt[3]{x^{4}y^{8} } }{5}\).

The exponential expression can be solved as follows:

Therefore, let's simplify the expression.

To simplify the expression we have to deal with the exponential by applying it laws and also the cube root.

∛8x⁴y⁸ / 125

let's solve them individually,

125 = 5³ = 5 × 5 × 5

8 = 2³ = 2 × 2 × 2

Therefore,

∛8x⁴y⁸ / 125 = \(\frac{2\sqrt[3]{x^{4}y^{8} } }{5}\)

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Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

According to the data provided, the regression line equation is given by

y=2.83+0.52x.  The non-linear characteristics of data is ignored by the regression line.

The most popular statistical method for simulating a link between two sets of variables is linear regression. As a result, a linear regression equation that can be applied to data is created.

The required formula is:

\(y= a + b_{yx}x\)

\(b_{yx} = \frac {n \sum xy - \sum x \sum y}{n \sum x ^ {2} - (\sum x) ^ {2}}\)

\(a = \bar y - b_{yx} \bar x\)

\(\bar x = 8.81 \\\bar y = 7.45\\\sum x ^ {2} =947\\\sum xy = 770.95\)

\(b_{yx} = 0.52\)

\(a=2.83\)

y=2.83+0.52x .

In scatter plot, Non-linear characteristics is ignored by the regression line.

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Answer:

1029

Step-by-step explanation:

d=s*t

s=343m/s

t=3s

=343m/s*3s

= 1029

Answer:

0%: Impossible

25%: Unlikely

50%: Equally likely

75%: Likely

100%: Certain

Answer:

See below ~

Step-by-step explanation:

The correct percentages matched with their likelihoods are :

⇒ 0% → c. Impossible

⇒ 25% → b. Unlikely

⇒ 50% → a. Equally likely

⇒ 75% → e. Likely

⇒ 100% → d. Certain

Answer:

the answer is 3

Step-by-step explanation:

First change the whole number (3) to quaters or fraction

3x \(\frac{4}{4}\) = \(\frac{12}{4}\)

Now, add

\(\frac{2}{4}\) + \(\frac{12}{4}\) = \(\frac{14}{4}\)   Since, we have the same common denominator

now divide

14÷4 =3.5 = 3\(\frac{2}{4}\)

Therefore, there are 3 of 3/4 with a remainder of  \(\frac{2}{4}\) in 3 \(\frac{2}{4}\).

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base,

then its volume is:

V = B x  h

where h is the height of that prism and B is the area of the base of that prism.

Given:

Base side length =14 and 10 units

Height=8 units

Diameter=5 units

The volume of the shaded region is;

Expression =  1-( half 14)(10)(8) - π(2.52)(8)

Expression = 1-(7) (10)(8) - π(2.52)(8)

Expression = 1- (560)- 63.33

Expression = -559-63.33

Expression = -622.33

Hence, The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

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answer: A

the first one

Answer: the third one

Step-by-step explanation:

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Answer: True

Step-by-step explanation:

The possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B)  = P(A) × P(B).

Events A and B are independent.

P(A and B) = 0.25

we need to find possible probabilities for events A and B.

Probability refers to the occurrence of a random event. The probability of an event is always is between 0 and 1.

The probability for two independent events P(A) and P(B) is

P(A and B)  = P(A) × P(B)

if P(A and B) = 0.25

Solving by putting the option one by one, we get

For P(A)=0.5 and P(B)=0.5, P(A and B)  ≠ P(A) × P(B)

For P(A)=0.25 and P(B)=0.25, P(A and B)  ≠ P(A) × P(B)

For, P(A) =0.20 and P(B) = 0.05,

P(A) × P(B) = 0.25 which is equal to P(A and B).

So, the possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B)  = P(A) × P(B).

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Answer:

C - A = B

Step-by-step explanation:

B is now what we are solving for.

Answer:

Flip the equation so B is the sum and also the subject.

Step-by-step explanation:

\(A - C = B\)

Answer:

1 1/45

Step-by-step explanation:

Answer: 2.6 as decimal or 2 & 3/5 as fraction

Answer:

1) claire's stone at 1.25 seconds

2) 0.5 seconds and its max height was 9

3) lin at 8ft

Step-by-step explanation:

the intercepts tell you the first and third question and then the max height is the highest point on the graph

not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words

Answer:

\( 6.63 \leq \mu_D \leq 9.15\)

For this case since the confidence interval not contains the value 0 we can conclude that we have a significant effect in terms of the loss weight since the confidence interval just show positive values, this conclusion can be made at a significance of 5%

Step-by-step explanation:

For this case we know that the confidence interval for the weight loss program is given by:

\( 6.63 \leq \mu_D \leq 9.15\)

For this case since the confidence interval not contains the value 0 we can conclude that we have a significant effect in terms of the loss weight since the confidence interval just show positive values, this conclusion can be made at a significance of 5%

Answer:

answer c

Step-by-step explanation:

(3x^3-2x^2+4x-5)+(6x-7)

3x^3-2x^2+10x-12

The reflection of the point (–4, 6) across both axes is (b) (4, -6)

From the question, we have the following parameters that can be used in our computation:

Point = (-4, 6)

The rule of reflections across both axes is

(x, y) = (-x, -y)

Using the above as a guide, we have the following:

Image = (4, -6)

Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)

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Answer:

the answer is B

Step-by-step explanation:

The inequality that best represents the purchase made by Gabriela, given the number of hand soaps and lotions purchased, is x + y > 12

Gabriela bought more than 12 bottles of hand soaps and lotions which simply means that the total number of these items that Gabriela bought as more than  12 bottles when added together.

The inequality would therefore be:

Number of hand soaps + Number of lotions > 12

Assuming the number of hand soaps is x and the number of lotions is y, the inequality would be:

x + y > 12

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Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

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