Which shows a difference of squares?

Answer:

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.

Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.

This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]

Is a pulse rate of 147.6 beats per minute significantly low or significantly​ high?

We have to find Z when X = 147.6. So

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

[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]

[tex]Z = 6.46[/tex]

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Answer:

no solution

Step-by-step explanation:

|x| + 7 < 4

Subtract 7 from each side

|x| + 7-7 < 4-7

|x| < -3

But an absolute value must be greater than or equal to zero

There is no solution

Answer: No solutions

Let's solve the inequality step-by-step

[tex]|x|+7<4[/tex]

First subtract 7 from both sides

[tex]|x|+7-7<4-7\\|x|<-3[/tex]

Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.

Answer:

45 of the phones are black smartphones.

Step-by-step explanation:

We sould this question treating these probabilities as Venn events.

I am going to say that:

Event A: Smartphone.

Event B: Black.

450 are smartphones and 270 are black.

This means that [tex]A = 450, B = 270[/tex].

225 phones are not black and not a smartphone

This means 900 - 225 = 675 are either black or a smartphone, that is, [tex](A \cup B) = 675[/tex]

How many of the phones are black smartphones?

This is:

[tex](A \cap B) = A + B - (A \cup B)[/tex]

Considering the values we found:

[tex](A \cap B) = A + B - (A \cup B) = 450 + 270 - 675 = 45[/tex]

45 of the phones are black smartphones.

Answer:

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

[tex]y=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

[tex]y=a(x+2)(x-3)[/tex]

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

[tex]-30=a(0+2)(0-3)[/tex]

Solve for a:

[tex]-30=-6a\Rightarrow a=5[/tex]

Hence, our factored equation is:

[tex]\displaystyle y=5(x+2)(x-3)[/tex]

For the standard form, expand:

[tex]y=5(x^2-3x+2x-6)[/tex]

Simplify:

[tex]y=5(x^2-x-6)[/tex]

Distribute:

[tex]y=5x^2-5x-30[/tex]

Our answer is C.

Answer:

5,x6=5

4÷6=6

4=6=8

4=6687554=+÷976555££=6££6/=

Answer:

x^2y^2.

Step-by-step explanation:

Answer:

3x + 1/4

Step-by-step explanation:

1/2 (6x + 1/2)

Distribute

1/2 * 6x + 1/2 * 1/2

3x + 1/4

Can you please translate it into English?

I don't know what language you're speaking sorry

Answer:

C. T is not​ one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

[tex]T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)[/tex]

Required

Determine if it is linear or onto

Represent the above as a matrix.

[tex]T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

Answer:

s² = 0.7965

s = 0.8925

Step-by-step explanation:

Given the data :

Class limit __ midpoint(x) ___ Frequency

2.1 - 2.7 ______2.4 ________13

2.8 - 3.4 ______3.2 _______ 14

3.5 - 4.1 ______ 3.8 _______ 10

4.2 - 4.8 ______4.5 _______ 6

4.9 - 5.5______ 5.2 ________2

5.6 - 6.2______ 5.9 ________ 1

The midpoint was calculated thus :

(Upper limit + lower limit) / 2

Using a graphing calculator :

The sample variance, s² = 0.7965

The sample standard deviation, s = 0.8925

Answer:

The answer is below

Step-by-step explanation:

Given the system of equations:

x + y + 2z = 9

2x + 4y - 3z = 1

3x + 6y - 5z = 0

This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:

The matrix form is:

[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^2 + 3x - 12}[/tex]

[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]

[tex]\mathsf{5^2}[/tex]

[tex]\mathsf{= 5 \times 5}[/tex]

[tex]\mathsf{\bf = 25}[/tex]

[tex]\mathsf{2(25) + 3(5) - 12}[/tex]

[tex]\mathsf{2(25)}[/tex]

[tex]\mathsf{= \bf 50}[/tex]

[tex]\mathsf{3(5)}[/tex]

[tex]\mathsf{= \bf 15}[/tex]

[tex]\mathsf{= 50 + 15 - 12}[/tex]

[tex]\mathsf{50 + 15}[/tex]

[tex]\mathsf{= \bf 65}[/tex]

65 - 12

[tex]\mathsf{= \bf 53}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 294

Step-by-step explanation:

Given

First layer has 30 Poles

Second layer has 29 Poles

There are twelve layers

It follows an A.P. with first term [tex]a_1=30[/tex] and common difference [tex]d=-1[/tex]

Sum of n terms of an A.P. is

[tex]\Rightarrow S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Insert the values

[tex]\Rightarrow S_n=\dfrac{12}{2}[2\times 30+(12-1)(-1)]\\\\\Rightarrow S_n=6[60-11]\\\Rightarrow S_n=294[/tex]

So, there are 294 Poles in 12 layers

Answer:

49 square inches

Step-by-step explanation:

Length x width =area

since it is a square, all sides have a length of 7 inches

7x7=49 inches ^2

Answer:

n=6

Step-by-step explanation:

1/2 n + 3 = 6

Subtract 3 from each side

1/2 n +3-3=6-3

1/2n = 3

Multiply each side by 2

1/2 n * 2 = 3*2

n = 6

Given that,

1/2n + 3 = 6

Now we can subtract 3 from each side,

→ 1/2 n +3-3 = 6-3

→ 1/2n = 3

Now we can multiply each side by 2,

→ 1/2 n × 2 = 3 × 2

→ n = 6

Hence, 6 is the correct answer.

Given:

The figure of a construction.

To find:

The correct option that represents the given construction.

Solution:

In the given figure, the given angle is angle CAB.

The steps for the given figure are:

1. Draw a ray PQ.

2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.

3. Set the compass of the length BA.

4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.

5. Draw a ray PR.

These are the steps of construction to copy an angle.

Therefore, the correct option is A.

Answer:

s-1

Step-by-step explanation:

1st side:  s-4

2nd side: s-4+3, which is 's-1'

Answer:

the 4.

Step-by-step explanation:

4 is one of the term. is another term. So there are totally 2 terms only. A term can be a signed number, a variable, or a constant multiplied

Answer:

121 yard

Step-by-step explanation:

By differentiating

[tex]y=2.2x-0.01x^{2} \\\\[/tex]

[tex]\frac{dy}{dx} =2.2-0.02x=0\\x=110\\so\\y=2.2*110-0.01*110^{2} =121yard[/tex]

Answer:

C is the answer

to solve this, you just have to multiply the values inside the square roo, and the 6x will be distributed to each values inside the other radical.

Note: You can multiply the radicals because they both have a square root.

The value of the equivalent equation is A = √ ( 6x² + 18x )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first variable be p = √6x

Let the second variable be q = √ ( x + 3 )

Now , the value of A = pq

Substituting the values in the equation , we get

A = √6x [ √ ( x + 3 ) ]

On simplifying the equation , we get

A = √6x ( x + 3 )

A = √ ( 6x² + 18x )

Hence , the equation is A = √ ( 6x² + 18x )

To learn more about equation click :

https://brainly.com/question/19297665

#SPJ7

Answer:

C = 2(3.14)r

C = (3.14)d

Step-by-step explanation:

Circumference in terms of radius:

[tex]c \: = 2\pi \: r[/tex]

So replacing pi with 3.14 you would get 2(3.14)r

Circumference in terms of diameter:

[tex]c = d\pi[/tex]

So replacing pi with 3.14 you would get d(3.14)

Answer:

can you show the picture plz

Answer:

[tex]103.78\:\mathrm{ft}[/tex]

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

[tex]\tan 34^{\circ}=\frac{70}{x}[/tex], where [tex]x[/tex] is the distance between the base of the tower and the fire.

Solving, we get:

[tex]x=\frac{70}{\tan 34^{\circ}}=103.779267796\approx \boxed{103.78\:\mathrm{ft}}[/tex]

Answer:

34

Step-by-step explanation:

70-2=68

side 1 & 3=1m each

68 divided by 2 = 34

side 2 & 4 = 34m each

Answer:

93. Divide 248 by 8. One eighth of 248 = 31.

June sold 3/8 of the 248 oranges.

If 1/8 = 31 and June sold 3/8 of the oranges.

Multiply 3 × 31. Therefore June sold 93 oranges.

Step-by-step explanation:

Answer:

93 oranges

Step-by-step explanation:

3/8 of 248

[tex]\frac{y}{248} :\frac{\frac{3}{8} }{1}[/tex]

y × 1 = 248 × 3/8

y = 93

Answer:

x = 10/3

Step-by-step explanation:

12x+5=3x+35

Subtract 3x from each side

12x-3x+5=3x-3x+35

9x +5 = 35

Subtract 5 from each side

9x+5-5 = 35-5

9x = 30

Divide by 9

9x/9 = 30/9

x = 10/3

Answer:b

Step-by-step explanation:

Answer:

It is b because it just makes the most scence

Answer:

the second option with y=2x+3

Step-by-step explanation:

the slope of a line is the ratio y/x (e.g. when x changes by 1 unit, y changes by how many units).

we see here, when x increases by 2 units, y increases by 4 units. so that ratio, the slope, is 4/2 or simply 2.

so the line is y = 2x + c

point A (0,3) tells us for x=0, y = 3, => c = 3

so, the line is y = 2x + 3

also look at the compared ratios of side lengths. you can only relate the equivalent sides of the similar triangles when comparing the ratios.

so, you can only relate DA with EA, for example, and not with e.g. suddenly CE.

the only correct approach is for multiple reasons the second option.