What should be subtracted from the product of
3/7 and 2/5 to get -4/35?​

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

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.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

Answer:

38

Step-by-step explanation:

2 + 3^2 (5 - 1) ​

PEMDAS says parentheses first

2 + 3^2 (4) ​

Then exponents

2 + 9 (4) ​

Then multiply

2+36

Then add

38

Answer:

38

Step-by-step explanation:

there you go the correct ans

Answer:

4/10 or 40/100

Step-by-step explanation:

it is 4/10 or 40/100 because 100 - 60 = 40

and 60% as a fraction is 6/10 or 60/100

so it is 40/100 or 4/10

hope this helped :)

Step-by-step explanation:

everything can be found in the picture

Answer:

400 cu cm

Step-by-step explanation:

Volume = Length · width · height /3

Volume = 10 · 10 · 12 / 3

Volume = 1,200 / 3

Volume = 400 cu cm

Answer:

The maximum volume of the fuel is:

[tex]V_{fuel}=1.20 \: m^{3}[/tex]

Step-by-step explanation:

The volume of the cylinder is given by:

[tex]V=\pi r^{2}h[/tex]

[tex]V=\pi (0.6^{2})(1.25)[/tex]

[tex]V=1.41 \: m^{3}[/tex]

If the tank can be filled to 85% of its capacity, the maximum volume of the fuel will be:

[tex]V_{fuel}=1.41*(\frac{85}{100})[/tex]

[tex]V_{fuel}=1.20 \: m^{3}[/tex]

I hope it helps you!

Answer:

+4, -4

Step-by-step explanation:

There are only two solutions to this equation.

=> x^2 - 16 = 0

=> x^2 - 4^2 = 0  

=> (x+4) (x-4) = 0  {According to a^2 - b^2 = (a+b) (a-b)}

=> x = 4, -4

Answer:

x = 4

x = - 4

Step-by-step explanation:

Method 1: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

x² - 16 = 0

a = 1

b = 0

c = - 16

[tex]x=\frac{-(0)±\sqrt{0^{2} -4((1)(-16))} }{2(1)}[/tex]

[tex]x=\frac{0±\sqrt{0 -4((1)(-16))} }{2(1)}[/tex]

[tex]x=\frac{0±\sqrt{0 +64} }{2(1)}[/tex]

[tex]x=\frac{0±\sqrt{64} }{2}[/tex]

[tex]x=\frac{0±8 }{2}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{0+8 }{2}[/tex]

[tex]x=\frac{8 }{2}[/tex]

x = 8 ÷ 2

x = 4

[tex]x=\frac{-8 }{2}[/tex]

x = - 8 ÷ 2

x = - 4

Method 2: Factoring

x² - 16 = 0

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

Two separate equations

x - 4 = 0

x + 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

x + 4 = 0

x + 4 - 4 = 0 - 4

x = - 4

Answer: D) The value of [tex]\sqrt{215}[/tex] is between 14.5 and 15

Step-by-step explanation:

Let's start by taking the squaring these numbers.

[tex]13^2=169\\13.5^2=182.25\\14^2=196\\14.5^2=210.25\\15^2=225[/tex]

215 is in between 14.5 squared and 15 squared. That means its square root will be between 14.5 and 15.5

Answer:

• point C

Step-by-step explanation:

______________

Answer:

Assuming that ladders should be placed at an 75° angle, let's translate it into a slope of 3.732 of a line (looked the value up, was too lazy to calculate it)

the distance from the orign in the picture is your answer, and one side of a triangle formed by the wall, the ground and the ladder

Answer:

Step-by-step explanation:

A: not the answer. It would be for a square or rhombus.

B: True

C: True

D: True

E: True

F: No this one is false. Consecutive sides means 1 length and 1 width. If they are congruent, you have a square or rhombus, but not a rectangle.

Answer:

8 units²

Step-by-step explanation:

2(2) + 2(2) = 8

9514 1404 393

Answer:

  G.  f(x) = x² -3x -1

Step-by-step explanation:

You can try the first line of the table in each of the functions to see which one works.

  F. -(-2) -1 = 1 ≠ 9

  G. (-2)² -3(-2) -1 = 4 +6 -1 = 9 . . . . this one works

  H. (-2)² -2(-2) -1 = 4 +4 -1 = 7 ≠ 9

  J. 2(-2)² -1 = 8 -1 = 7 ≠ 9

Answer:

(1, 1)

Step-by-step explanation:

I've attached a picture above. Do tell me if you're still confused. This is just one of many methods

Answer:

(1,1)

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

[tex]\theta[/tex]             0°       30°        45°         60°          90°

[tex]Sin \theta[/tex]        [tex]0[/tex]         [tex]\frac{1}{2}[/tex]            [tex]\frac{\sqrt{2}}{2}[/tex]          [tex]\frac{\sqrt{3} }{2}[/tex]             [tex]1[/tex]

[tex]Cos \theta[/tex]       [tex]1[/tex]          [tex]\frac{\sqrt{3} }{2}[/tex]          [tex]\frac{\sqrt{2} }{2}[/tex]          [tex]\frac{1}{2}[/tex]              [tex]0[/tex]

[tex]Tan \theta[/tex]      [tex]0[/tex]          [tex]\frac{1}{\sqrt{3} }[/tex]           [tex]1[/tex]           [tex]\sqrt{3}[/tex]           ∞

Answer:

Step-by-step explanation:

sin A=opposite/hypotenuse

cos A=adjacent/hypotenuse

tan A=opposite/adjacent

cosec A=hypotenuse/opposite

sec A=hypotenuse/adjacent

tan A=adjacent/hypotenuse

Hope this helps u!!

Answer: B and E apply. I know for sure.

Answer:

answer is b

Step-by-step explanation:

I'm smart bro

Answer:

b

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

so that is b right?

that means its what number you start the y on

Answer:  12x4= 48 so 48

Step-by-step explanation:

Answer:

.321428571

Step-by-step explanation:

P(blue shirt | girl)

This means what is the probability of a blue shirt given that we have a girl

There are 56 girls and 18 girls wearing blue shirts

P(blue shirt | girl) = girls in blue shirts / girls

                            = 18/56

                               =.321428571

Answer:

2, 13, 17.5, 35, 59

Step-by-step explanation:

Minimum, quartile Q1, median, quartile Q3, maximum

Answer:

1.3%

Step-by-step explanation:

[tex]\frac{9}{700}[/tex]

9 ÷ 700

0.0129

0.0129 × 100

1.3%

Answer:

what are c and d?

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

john earns more than don

Answer:

[tex]0.98268[/tex]

Step-by-step explanation:

We are given that

Mean, [tex]\mu=3408[/tex]miles

Variance, [tex]\sigma^2=249001[/tex]

We have to find  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.

n=36

[tex]P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)[/tex]

=[tex]P(3210<\bar{x}<3606)[/tex]

=[tex]P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}[/tex]

[tex]=P(-2.38<Z<2.38)[/tex]

[tex]=P(Z<2.38)-P(Z<-2.38)[/tex]

[tex]=0.99134-0.00866[/tex]

=[tex]0.98268[/tex]

Hence,  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=[tex]0.98268[/tex]

Step-by-step explanation:

m is

[tex] \frac{1}{28} [/tex]

Answer:

m=−2,y=1

Step-by-step explanation: