Can u please answer these two questions

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of  lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

[tex]z_1 = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.88 = \dfrac{X-3570}{500}[/tex]

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth   that differentiates the babies that needed special treatment from those that do not

Answer:

24.4

Step-by-step explanation:

Given the data :

Month (X) : 0, 1, 2, 4, 6

Weight (Y) : 7.2, 9.4, 10.5, 13.2, 15.9

To obtain the predicted weight at 1 year, we fit the data to obtain the regression model. Using technology, the regression model obtained is :

y = 7.6 + 1.4X1

Substituting x = 1 year into the regression model, we obtained the predicted weight at 1 year ;

1 year = 12 months, hence, x = 12

y = 7.6 + 1.4(12)

y = 7.6 + 16.8

y = 24.4

Answer:

Arc AB = 8π

Step-by-step explanation:

Length of arc = central angle/360 × 2πr

Where,

Central angle = measure of arc AB = 144° (central angle theorem)

r = radius = 10

Length of arc AB = 144/360 × 2 × π × 10

= 8π

Answer:

47.50 per calculator

Step-by-step explanation:

Take the total cost and divide by the number of calculators to get the cost of one calculator

190/4 =47.50

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

1.x= 3/-4-2 = x = 11/4

2.1.5x /1.5 = x

6/1.5=4

x=4

Answer:

B. 36 yd

Step-by-step explanation:

I calculated it logically

tan ( 37 ) = x / 12

x = 12 * tan( 37 )

Answer: 47

Step-by-step explanation:

you find the middle of the number sequence and you see that 47 is in the middle making that the answer

Answer:

X = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

the solution is X = 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, we have,

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 4

hence, the solution is x=4.

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Answer:

14 units

Step-by-step explanation:

Side length of each square is 1 unit.

So, sum of the lengths of all the border edges = 14 units

Thus, the Perimeter of the figure = 14 units

Step-by-step explanation:

38 to 18 m square / videos 400

Answer:

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

==========================================================

Explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]

The exclamation marks indicate a factorial.

Answer:

x = 43.4°

Step-by-step explanation:

when two straight line intersects, angles directly opposite of each other has the same value.

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex] \frac{2}{3} \times \frac{7}{4} \\ = \frac{2 \times 7}{3 \times 4} \\ = \frac{14}{12} \\ = \frac{7}{6} [/tex]

You'll get the answer as 7/6 which is equal to 1.16. 2/3 is equal to 0.66.

[tex]•°• \frac{7}{6} > \frac{2}{3} [/tex]

✐ So, the answer is ⇻ greater than 2/3.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

total number of people on Friday = 285

total number of people on Saturday = 355

total increment = 355-285 = 70

total increase percentage = 70÷285*100

= 24.56%

hope it helps!

Answer:

x = 14+

Step-by-step explanation:

If 14 + 14 = 28

Then

28 > 27 is true.

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

For pizza Duo: (the "%" is actually 3/4)

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

Answer:

y = 50x + 40

Step-by-step explanation:

2 points on the graph:

(0, 40) and (2, 140)

Slope:

m=(y2-y1)/(x2-x1)

m=(140 - 40)/(2 - 0)

m=(100)/2

m= 50

Slope-intercept:

y - y1 = m(x - x1)

y - 40 = 50(x - 0)

y - 40 = 50x

y = 50x + 40

Answer:

A. P ( Z > 0.54)  = 0,7054

B. P ( Z < 0.54)  =  0.2946

C.1) 1  -  0.2946    =  0.7054

D.1)  1  -  0.2946    =  0.7054

Step-by-step explanation:

A) P ( Z > 0.54)  =  1  -  P (  Z  ≤ 0.54)

P (  Z  ≤ 0.54)  =  0,2946          from  z-table

P ( Z > 0.54)  =  1  - 0,2946

P ( Z > 0.54)  = 0,7054

B) P ( Z < 0.54)  =  0.2946

C)  1 - P ( Z < - 0,54)

     1  -  0.2946    =  0.7054

D)  1 - P ( Z <  0,54)

     1  -  0.2946    =  0.7054

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]

Scale factor = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{2}[/tex]

                    = 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

Answer:

-4 and 1

Step-by-step explanation:

-4 times 1 equals -4 and then -4 plus 1 equals 3

The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To find two numbers that satisfy the given conditions, we can set up a system of equations.

Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:

xy = -4 (Equation 1)

x + y = 3 (Equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

From Equation 2, we can express y in terms of x: y = 3 - x.

Substituting this into Equation 1, we get:

x(3 - x) = -4

Expanding and rearranging the equation, we have:

3x - x² = -4

Rearranging again, we get a quadratic equation:

x² - 3x - 4 = 0

We can factor this equation:

(x - 4)(x + 1) = 0

Setting each factor to zero, we find two possible solutions for x:

x - 4 = 0 --> x = 4

x + 1 = 0 --> x = -1

Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 4: y = 3 - 4 = -1

For x = -1: y = 3 - (-1) = 4

Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

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THE CORRECT OPTION IS A where the input data is correct

Answer:

option 3

Step-by-step explanation:

[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]

[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]

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

Therefore,

      [tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]

Answer:

x = -36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

x + 24 = -12

Step 2: Solve for x

Answer:

The answer is letter D

Explanation:

Hope it helps!

Answer:

D is the right answer ✔

Explanation: