sarah walks 1/4 mile every 1/2 hour​

Answer:

x=17

Step-by-step explanation:

4(x+5) = 88

4x + 20 = 88

4x = 88-20

4x = 68

x = 68/4

x = 17

Answer:

17

Step-by-step explanation:

4(x+5)=88

4x+20=88

4x=88-20

4x=68

4x÷4=68÷4

x=17

Answer: 12

Step-by-step explanation:

The constant of the expression is 12.

'A constant is a value or number that never changes in expression that is it's constantly the same.'

According to the given problem,

In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.

If k = 1, the value of the expression is (3 × 1) + 12 = 15

  k =2, the value is (3 × 2) + 12 = 18

But we can see that no matter the value of k is, the expression has to be added with 12.

Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.

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Answer:

[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex], [tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]

Step-by-step explanation:

The complete statement is:

The percent [tex]p[/tex] of defective parts produced by a new employee [tex]t[/tex] days after the employee starts work can be modeled by:

[tex]p(t) = \frac{t+1810}{50\cdot (t+2)}[/tex]

Find the rates of change of [tex]p[/tex] at [tex]t = 1[/tex] and [tex]t = 10[/tex] (Round your answer to two decimal places.)

The rate of change of the function is the first derivative of the function in time. By rules of differentiation, we obtain the expression of the rate of change of the percent of defective parts:

[tex]\frac{dP}{dt} = \frac{50\cdot (t+2)-50\cdot (t+1810)}{50^{2}\cdot (t+2)^{2}}[/tex]

[tex]\frac{dP}{dt} = \frac{1}{50\cdot (t+2)}-\frac{t+1810}{50\cdot (t+2)^{2}}[/tex] (1)

The rates of change of P at [tex]t = 1[/tex] and [tex]t = 10[/tex] are, respectively:

[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex]

[tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]

Answer:

600 oz

Step-by-step explanation:

Answer:

A) Mean = 21.5

Standard deviation = 3.3

B) - Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) - The result is significantly​ high, because 32 girls is greater than 28.1 girls

-A result of 32 girls would suggest that the method is effective.

Step-by-step explanation:

A) We are given;

Number of couples; n = 43

Probability it is a girl; p = 0.5

Formula for mean is;

Mean; x¯ = np

x¯ = 43 × 0.5

x¯ = 21.5

Formula for standard deviation is;

SD = √(np(1 - p))

SD = √(43 × 0.5 × (1 - 0.5))

SD = √(43 × 0.5²)

SD ≈ 3.3

B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.

Thus, we have;

x¯ ± 2SD

This gives;

21.5 ± 2(3.3)

That is;

21.5 + 6.6 and 21.5 - 6.6

To get; 28.1 and 14.9

This means that;

- Values of 14.9 girls or fewer are significantly low.

- Values of 28.1 girls or higher are significantly high

C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high

- A result of 32 girls would suggest that the method is effective.

Multiplication is the process of multiplying. The correct option is D.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The result of the given operation can be written as,

[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]

Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,

[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]

Solving the multiplication, we will get,

[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]

Hence, the correct option is D.

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Answer:

The answer is 50

Step-by-step explanation:

= -3(-2-3×6)-5{4+2(-1)}

= -3(-2-18)-5{4-2}

= -3(-20)-5{2}

= 60-10

= 50

Answer:

-3(-2-18)-5(6-1)

-3(20)-5(5)

-60--25

=35

=====

Answer:

none of the above

Step-by-step explanation:

An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.

Answer:

what are we supposed to do here

Answer:

C

Step-by-step explanation:

7.55 x 35 =

264.25

Hope this helped

Answer:

4lb.

Step-by-step explanation:

11 divided by 2.75 = 4

therefore, the answer is 4lb's.

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

Answer:

It is very interesting!

Step-by-step explanation:

So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,

Km : Litre : : Km : Litre

Let's keep the missing value as x

= 8 : 1 : : 152 : x

We know that,

Product of ext. terms = Product of middle terms

8 * x = 1 * 152

8x = 152

x = 152/8

x = 19

So therfore it will take 19 lites to travel 152 km.

(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)

Hope this helps :)

Answer:

A

Step-by-step explanation:

the plant will increase because no grasshopper will be present to eat them without the grasshopper the mice cannot eat so the mice population will decrease....

If the grasshoppers are removed then the number of plants will increase, the number of mice will decrease, the number of snakes will decrease.

The correct answer is option a.

For the given Food chain:

If the grasshoppers are removed from the food chain, it will lead to a increase in the number of plants, as there will be no herbivores (grasshoppers) to consume them. This is because grasshoppers help control plant populations by feeding on them.

With the removal of grasshoppers, the mouse population is likely to decrease since their primary food source (grasshoppers) is no longer available.

As a consequence of the decreased mouse population, the snake population may also decrease because their primary food source (mice) has been affected.

Thus, the number of plants will increase, the number of mice will decrease, the number of snakes will decrease.

Thus, option a is correct.

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For adding variables we use the coefficient as 1 if there is no number infront of variable.

An expression is combination of variables, numbers and operators.

A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.

Let us consider a algebraic expression

ax+by+z=0

In the given expression a, b are coefficients of x and y respectively.

We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.

Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.

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Answer:

Group one has the larger median

Step-by-step explanation:

Group One:

By taking off 8 on both ends we see that the median is 53 for group one.

33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67

Group two:

By taking off 8 on each end as well we get 47 and 49.

35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69

we then take the average of the two numbers

47 + 49 = 96

96 / 2 = 48

Answer:

ur gay

Step-by-step explanation:

LOL

Answer:

Step-by-step explanation:

slant height = √(5²+18²) = √349

Answer: 69.8°F

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 : 31

4/31

or .129

or 12.9%

Answer:

4/31

Step-by-step explanation:

4 chocolates out of a total of 31 pieces of candy

Answer:

0.645

Step-by-step explanation:

since a percent is out of 100, it could also be written a 64.5/100,

then converting a fraction into a decimal is jus dividing the two equaling to 0.645

Answer:

54.85 un²

Step-by-step explanation:

Calculate the square and the circle and add them together.

[tex]2\pi[/tex]r

radius = 3

[tex]2\pi[/tex]3

Circumference = [tex]2\pi[/tex]r = 2 × [tex]\pi[/tex] × 3 = 18.84956

18.84956 rounds to 18.85

The circle's area is 18.85 un².

The square is 6 by 6.

6 × 6 = 36

The square's area is 36 un².

18.85 un² + 36 un² = 54.85 un²

Answer:

[tex]CF = 13[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the cumulative frequency for interval 46 - 55

To do this, we add up the frequency from the lowest interval up to interval 46 - 55.

From the attached table, the lowest interval is 6-15.

So, the cumulative frequency (CF) is:

[tex]CF = 1+2+3+3+4[/tex]

[tex]CF = 13[/tex]

Answer:

ll

Step-by-step explanation:

ll is the msot resanable

Answer:

D.

Step-by-step explanation:

There is no explanation

Answer:

75c

Step-by-step explanation:

(50/200)×3=3/4=0.75

Answer:

a) 0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) 0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) 0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm.

This means that [tex]\mu = 4.8, \sigma = 1.4[/tex]

a) the thickness is less than 3.0 mm.

This is the pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{1.4}[/tex]

[tex]Z = -1.29[/tex]

[tex]Z = -1.29[/tex] has a pvalue of 0.0985

0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) the thickness is more than 7.0 mm.

This is 1 subtracted by the pvalue of Z when X = 7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.8}{1.4}[/tex]

[tex]Z = 1.57[/tex]

[tex]Z = 1.57[/tex] has a pvalue of 0.9418

1 - 0.9418 = 0.0582

0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) the thickness is between 3.0 mm and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. From questions a and b, we have these pvalues. So

0.9418 - 0.0985 = 0.8433

0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Answer:

hope it helps

Step-by-step explanation:

have a great day