Martina drove 780 miles in 12 hours. At the same rate, how long would it take her to drive 455 miles?

The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.

Option B is the correct answer.

We have,

To convert a data item to a z-score, you can use the formula:

z = (x - μ) / σ

Where:

z = z-score

x = data item

μ = mean

σ = standard deviation

In this case, the data item (x) is 56, the mean (μ) is 60, and the standard deviation (σ) is 4.

Plugging these values into the formula.

z = (56 - 60) / 4

z = -4 / 4

z = -1

Therefore,

The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.

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Answer:

here's what the triangle should look like with all the values

Step-by-step explanation:

hopefully this helps :)

Answer:

C

Step-by-step explanation:

the equation for point slope form is y - y1 = m(x-x1)

parallel lines share a slope m = -2/3. the point given (4, -5) goes in place of the y1 and x1

Answer:

6, man

Step-by-step explanation:

Answer:the answer is between 11 and 17

Step-by-step explanation:

Because when you look at the chart and see which one makes sense you will find it

Answer: it’s between 3.75 and 5

Step-by-step explanation:

Answer:

13.5 pounds

Step-by-step explanation:

Answer:

it's 4(3y-4)

Step-by-step explanation:

shout out to jazzy6805 for correcting me

Answer:

4(3y-4)

Step-by-step explanation:

sorry if wrong

Answer:

Radius

Step-by-step explanation:

The radius is a straight line from the center to the circumference of a circle

The diameter is a straight line, from circumference to circumference, that passes throught a citcle's center

Answer:

5/8 hope this helps

Answer:

C) 2x - 1

Step-by-step explanation:

12x² - 4x - 1 =  12x² - 6x + 2x - 1

                   = 6x(2x - 1) + (2x - 1)

                   = (2x - 1) (6x + 1)

Answer:

g(2) = 12

Step-by-step explanation:

g(x) = 2x³ – 4; g(2)

g(2) = 2(2)³ – 4

= 2 × 8 – 4

= 16 – 4

g(2) = 12

Thus, The answer is g(2) = 12

-TheUnknownScientist

Answer:

12

Step-by-step explanation:

Anton van Leeuwenhoek’s contribution in the development of cell theory?

Answer:

A

Step-by-step explanation:

You can't square a negative number, so the number must be non real.

Answer:

x = -1 and x= 14

Step-by-step explanation:

x^2 -13x -14=0

x^2 + x- 14x -14 = 0

x(x+1) -14(x+1) = 0

(x+1)(x-14) =0

x+1 = 0

x= -1

x-14=0

x= 14

Answer:

x = -1, x = 14.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

60 divided into 3 = 20 since all sides are equal then you get 20 for each side.

Answer:

0.5y+2y

Step-by-step explanation:

bc you divide out the y

Answer:

x (1+8t7)

Step-by-step explanation:

Answer:

29/40

Step-by-step explanation:

Answer:

Expanded form of 13.028

Step-by-step explanation:

13028/1000

.

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

All of the second degree polynomials listed have a leading coefficient of 3.

Since we are asked which has roots 4 and 1, we know we need to find the polynomial where x is a negative number, then solve for x.

f(x) = 3x^2 - 15x + 12

= 3(x^2 - 5x + 4)  --- Here, I factored out the 3.

= 3((x-4)(x-1)) --- solve for the quadratic.

Therefore, solving for x, we have

x - 4 = 0    and  x - 1 = 0

x = 4                  x = 1

Thus, this polynomial has a lead coefficient of 3 and its roots are 4 and 1.

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

its Britany bitc

Step-by-step explanation:

Answer:

Ask your mom or dad

Step-by-step explanation:

Answer:

See explaination

Step-by-step explanation:

y = mx+b form.

So first, b is the y intercept, where the line intercepts the y axis. So, put a dot at -3. After that, do the slope. Rise over run. So, go down 3 (because negative) and to the right 2. Then, put a line through the dots and you'll have your graph. If you need me to graph just ask.

Answer:

im pretty sure it should be 4 x (2 x 6)=

if the answer is needed its 48

Step-by-step explanation:

Answer:

The value of x is 27

Step-by-step explanation:

If you multiply 27 by every x in this problem, and add up the angles it will equal 180. Which is the amount of degrees every triangle adds up to.

Answer:

27a + 24b

Step-by-step explanation:

Combine the like terms.

9a + 4a + 5a + 9a = 27a

17b + 6b + b = 24b

Remember, a number without a coefficent is 1.

Hope this helps! :)

thanks for the points

Step-by-step explanation:

Answer:

hablan español es que yo les pudiera ayudar pero no se tanto ingles como ustedes

Answer:

7

Step-by-step explanation:

\underline{\text{Solution Method 2:}}

Solution Method 2:

​

Use original formula

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

\text{Since we are finding }\angle M\text{,}

Since we are finding ∠M,

\text{plug in }2.3\text{ for side }a:

plug in 2.3 for side a:

Opposit the angle we want

2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M

2.3

2

=6.6

2

+8.7

2

−2(6.6)(8.7)cosM

Plug in values. Side "a" is opposite the wanted angle.

5.29 = 43.56+75.69-114.84\cos M

5.29=43.56+75.69−114.84cosM

Square sides.

5.29 =

5.29=

\,\,\color{white}{-} 119.25-114.84\cos M

−119.25−114.84cosM

Add.

-119.25=

−119.25=

\,\,-119.25

−119.25

-113.96=

−113.96=

\,\,-114.84\cos M

−114.84cosM

\frac{-113.96}{-114.84}=\cos M

−114.84

−113.96

​

=cosM

Divide to solve for cos(A).

M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}

M=cos

−1

(

−114.84

−113.96

​

)≈7.098≈7

∘

The angle according to the given data about the triangle will be equal to 7°.

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol ∠.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the given information in the question,

The length of the sides is given as:

l = 8.7 cm

m = 2.3 cm

n = 6.6 cm

Use the formula given below to find the angle,

a² = b² + c² - 2bc cos A

The formula modified to the information will be,

m² = n² + l² - 2nl cos M

2.3² = 6.6² + 8.7² - 2(6.6)(8.7)cos M

5.29 = 43.56 + 75.69 - 114.84 cos M

-119.25 + 5.29 = -114.84 cos M

cos M = 113.96/117.84

M = cos⁻¹ 0.992

M = 7.09 ≈ 7°.

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This question is incomplete, the complete question is;

You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation ?

Multiple Choice

A. 0.2 square ounces

B. 0.5 square ounces

C. 0.7 square ounces

D. 1.2 square ounces

Answer:

Option  A) 0.2 square ounces  is the correct answer

Step-by-step explanation:

Given that;

two strains of mice where raised in the environment and while one is inbred, the other is genetically heterogeneous.

The total variance for the inbred strain =  0.5 square ounces

total variance for the heterogeneous strain = 0.7 square ounces

relative amount of variance due to genetic variation = ?

The relative amount of variance due to genetic variation can be gotten by taking the difference of the total variance of both mice

so;

relative amount of variance due to genetic variation = variance for the heterogeneous strain - total variance for the inbred strain

we substitute our values

relative amount of variance due to genetic variation = 0.7 - 0.5

relative amount of variance due to genetic variation = 0.2 square ounces.

Therefore Option  A) 0.2 square ounces  is the correct answer

Answer:

5

Step-by-step explanation:

AB = ED

BC = DC

AC = EC

Topic: Congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer: c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because if you multiple 15,000 by 8% it will give you 1,200 and you multiple it by 15,000 and you will get close to a