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3 years ago

Someone help me plz!!

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

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A manufacturer of window frames knows from long experience that 5% of the production will have some type of minor defect that wi

gulaghasi [49]

Answer:

a) 0.3585

b) 0.6415

c) 0.07548

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 20

x = Number of successes required

p = probability of window frame with minor defect = 0.05

q = probability of window frame with no defect = 1 - 0.05 = 0.95

a) Probability that none of the frames picked will have defects

x = 0

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(X = 0) = ²⁰C₀ 0.05⁰ 0.95²⁰⁻⁰ = 0.3585

b) Probability that At least one will need adjustment = P(X ≥ 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 0.3585 = 0.6415

c) Probability that More than two will need adjustment = P(X > 2)

P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]

So, we evaluate each of that using the binomial distribution formula, slotting in the appropriate variables, and sum it all up.

P(X > 2) = 1 - 0.9245 = 0.07548

7 0

4 years ago

Amanda wants to make a rectangular fenced area for her dogs. She wants the area to be 32 square feet with the length of the yard

navik [9.2K]

The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.

3 0

3 years ago

Jack planted 1 1/4 rows of lettuce in the family garden, Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of b

Oksana_A [137]

Solution:

we are given that

Jack planted 1 1/4 rows of lettuce in the family garden.

Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans.

we have been asked to find -How many rows were planted in the garden?

To find this , we will add all the numbers of rows planted.

Hence number of rows planted

$=1\frac{1}{4}+ 1\frac{1}{2}+4\frac{5}{12}\\\\=2\frac{1+2}{4}+ 4\frac{5}{12}\\\\=2\frac{3}{4}+ 4\frac{5}{12}\\\\=7\frac{1}{6} \\$

5 0

3 years ago

Read 2 more answers

The volume of a cube of ice for an ice sculpture is 64,000 cubic inches.

Sophie [7]

edge length is 40 inches.

The edge length of a cube has the same measurement.
Volume of a cube is computed by multiplying the edge length to itself twice.

Volume = edge length x edge length x edge length

If the given data is volume of the cube and edge length is required. simply find the cube root of the volume.

edge length = ∛volume
edge length = ∛64000 in³
edge length = 40 inches.

To check:
40 x 40 = 1600 x 40 = 64000

5 0

3 years ago

Eric worked 13 hours last week at the library and earned $91.00. If he continues at the same hourly pay, how many more hours mus

skelet666 [1.2K]

19 hours

Calculate his hourly rate by dividing $91 by 13

hourly rate = $\frac{91}{13}$ = $7

Now divide $133 by 7 to find number of hours he has to work

$\frac{133}{7}$ = 19 hours

6 0

3 years ago