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Answer:

z=1.96

Step-by-step explanation:

Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.

(above value obtained from R)

Answer:

B-2

Step-by-step explanation:

To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2

The line that is parallel to ​ line CD ​ in the figure is A. Line FA

From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.

Parallel lines are lines on a flat surface that never meet or cross each other.

When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.

Some properties of parallel lines include:

From the given figure, we can see that FA||CD.

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Answer:

20

Step-by-step explanation:

[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]

Answer:

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

Answer:

0.6

Step-by-step explanation:

The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse

= |AB| / |AC|

= 12/20

= 3/5

= 0.6

so the answer is 0.6

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

Answer:

[tex]\displaystyle x \approx 9.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 64°

Opposite Leg = x

Hypotenuse = 11

Step 2: Solve for x

7/16 = 0.4375

3.4375 is between 3.43 and 3.44

The answer: 3 and 7/16

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

Answer:

4x^2 + 2x + 4

Step-by-step explanation:

5x^2 + 2x + 4 - x^2

4x^2 + 2x + 4

Answer:

2(2x^2 + x + 2)

Step-by-step explanation:

5x^2+2x + 4-x^2

Re arrange so like terms are next to each other

Keep the same symbol that is at the front of the term when moving it

5x^2 - x^2 + 2x + 4

We will just do the first part first

5x^2 - x^2

5x^2 - 1x^2 (is the same thing as above)

So because they are like terms (are both x^2)

We can just minus 1 from 5

5-1=4

So 4x^2

Now the equation is

4x^2 + 2x + 4

This is as small as it gets but you can also bring it to this

4, 2 and 4 all are divisible by 2 so

2(2x^2 + x + 2)

The only length that is equal to 6 feet 12 inches is 7 ft.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.

6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.

3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.

7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.

7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.

2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.

1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.

Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.

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[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {z}^{2} - 4z + 4[/tex]

[tex] = {z}^{2} - 2z - 2z + 4[/tex]

Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have

[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]

Taking the factor [tex](z-2)[/tex] as common,

[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]

[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]

[tex] = ({ \: z - 2 \: })^{2} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]

Answer:

54 pounds

Step-by-step explanation:

To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.

Answer:

try me

Step-by-step explanation:

try these nuts

Answer:

lol

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3+2=5 and 5+2 =7 and on x side just add 1

Answer:

10km per hour

Step-by-step explanation:

Distance = speed * time

speed = distance/time

------------------------

Distance traveled

25 + 30 + 35 = 90 km

Time

2 + 3 + 4 = 9 hours

Average peed

90/9 = 10km per hour

Answer:

3 feet

Step-by-step explanation:

A = l x w                    Formula

18.9 = 6.3 x w           Substitution

18.9/6.3 = w              Division

3 = w                         Solution

Answer:

D) 20%-24%

Step-by-step explanation:

The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.

Answer: A. 22%-24%

Step-by-step explanation:  There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]

Flicker covers 4 cm in 5 s, its speed is

[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]

Time taken by Cray fish to cover the race is

[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]

Time taken by flicker to cover race with 10 cm head start

[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]

After 25 s, they tied the race.

Answer:

m<ADE = 57 degrees

Step-by-step explanation:

Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.

Answer:

he has to many apples

Step-by-step explanation:  

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

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Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Answer:

D. 3

Step-by-step explanation:

Distance between A and D = AD = 9 units

Distance between A and B = AB = 3 units

[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]

Simplify by dividing

[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]

[tex] \frac{AD}{AB} = 3 [/tex]

The answer is 3

Answer:

y=-2x-2

Step-by-step explanation:

Answer:

the work done in stretching the spring from its natural length is -1.8 ft.lb

Step-by-step explanation:

Given the data in the question;

From Hook's law, the magnitude of force applied on a spring is expressed as follows;

|F| = k|x|

where F is the force applied the spring, k is the spring constant, x is the length extension

Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft

we substitute

4 = k × 0.4

k = 4 / 0.4

k = 10 lb/ft

Also, Hook's law can be expressed as follows;

F = -kx  ---------- let this be equation 1

Now, work done by a force applied between two points is expressed as follows;

dW = Fdx ----------- let this be equation 2

substitute equation 1 into equation 2

dW = (-kx )dx

we integrate both side

∫(dW) = ∫((-kx )dx)

W = -k∫xdx

W = -k[tex]\frac{x^2}{2}[/tex]

w = -[tex]\frac{1}{2}[/tex]kx²

we substitute 10 lb/ft for k and 0.6 ft for x

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²

w = -1.8 ft.lb

Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb

Answer:

17,290 yd2

Step-by-step explanation:

I rlly don't know how u were taught to solve it but what I did was multiply all the sides