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2 years ago

WHat are the correct answers to this?

Mathematics

2 answers:

iogann1982 [59]2 years ago

7 0

Answer:

1st blank _ 36

2nd blank _ -30

last blank _ 6

Nana76 [90]2 years ago

7 0

$\\ \rm\bull\rightarrowtail y=1(-6)^2+5(-6)$

$\\ \rm\bull\rightarrowtail y=1(36)+(-30)$

$\\ \rm\bull\rightarrowtail y=36-30$

$\\ \rm\bull\rightarrowtail y=6$

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In a genetics experiment on peas, one sample of offspring contained green peas and yellow peas. Based on those results, estimate

pashok25 [27]

Answer:

The probability of getting an offspring pea that is green is is 0.733

YES, the probability is reasonably close to the expected value of 3/4 (0.750)

Step-by-step explanation:

The formula for calculating the probability of an event is;

P = Favorable Outcome / Sample space

Let A be an event of getting an offspring green peas, B be an event of getting an offspring yellow peas and N be the total number of peas.

number of green peas in an offspring are 350

number of yellow peas in an offspring are 127

total number of peas are 477

So in the genetic experiment, the number of times event A occurs is 350 and the number times event B occurs is 127

Now the probability of getting an offspring pea that is green is

P = number of green peas / total number of peas

p = n(A)/N

p = 350/477

p = 0.733

So YES, the probability is reasonably close to 3/4 ( 0.750 )

The probability of getting an offspring pea that is green is is 0.733.

YES, the probability is reasonably close to the expected value of 3/4 (0.750)

5 0

3 years ago

A=24 C=26 What is the length of b?

Marina86 [1]

Answer:

Step-by-step explanation:

you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10

7 0

3 years ago

Victor earns a gross annual income of $64,570 and is buying a home for $125,340. He is making a 15% down payment and financing t

Oliga [24]

Part A:

Given that Victor is buying a home for $125,340 and that he is making a 15% down payment.

The amount of down payment is given by 15% of $125,340 = 0.15 x $125,340 = $18,801.

Therefore, the amount of mortgage he needs to borrow is given by $125,340 - $18,801 = $106,539

Part B

Given that he earns a gross annual income of $64,570 and that the loan of $106,539 will be spread for 20 years at 3.75% interest.

$106,539 / 20 = $5,326.95

Roughly he will be paying about $5,000 every year which is way below his annual gross income.

Therefore, he can afford the mortgage.

Part C

The monthly mortgage payment can be calculated using the present value of annuity formula given by

 $PV=P\left( \frac{1-\left(1+\left( \frac{r}{t} \right)\right)^{-nt}}{ \frac{r}{t} } \right)$

where: PV is the current value of the loan, P is the periodic (monthly) payment, r is the annual interest rate, t is the number of payment in one year and n is the number of years.

Here, PV = $106,539; r = 3.75% = 0.0375; t is 12 payments in one year (since payment is to be made monthly); n = 20 years.

Thus, we have:

$106,539=P\left( \frac{1-\left(1+\left( \frac{0.0375}{12} \right)\right)^{-20\times12}}{ \frac{0.0375}{12} } \right) \\ \\ =P\left( \frac{1-\left(1+0.003125\right)^{-240}}{0.003125} \right)=P\left( \frac{1-\left(1.003125\right)^{-240}}{0.003125} \right) \\ \\ =P\left( \frac{1-0.472919}{0.003125} \right)=P\left( \frac{0.527081}{0.003125} \right)=168.666P \\ \\ \Rightarrow P= \frac{106,539}{168.666} =631.66$

Therefore, the monthly mortgage payment is $631.66

Part D

Since he will make a monthly payment of $631.66 for 20 years, thus he will make a total of $631.66 x 12 x 20 = $151,598.40

Therefore, his total payment for the house will be $151,598.40

Part E

Since he will make a total payment of $151,598.40 for a mortgage loan of $106,539.

Therefore, the amount of interest he will pay is given by $151,598.40 - $106,539 = $45,059.40

7 0

4 years ago

Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She origina

Romashka [77]

Answer: One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.

7 0

3 years ago

Read 2 more answers

Euleuy VI, Ulalla PUSIUI 407220)

Artyom0805 [142]

Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

3 0

3 years ago