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3 years ago

Write a quadratic function f whose only zeros are -3 and -12

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

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Suppose a long jumper claims that her jump distance is less than 16 feet, on average. Several of her teammates do not believe he

Greeley [361]

Answer:

Claim : Jump distance is less than 16 feet.

A ) $H_0:\mu \geq16\\H_a: \mu$

n = 19

Since n <30 we will use t test

The mean distance of the sample jumps is 13.2 feet. i.e. x = 13.2 feet

The standard deviation of her jump distance is 1.5 ft i.e. s = 1.5

Formula : $t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

Substitute the values:

B) $t =\frac{13.2-16}{\frac{1.5}{\sqrt{19}}}$

$t =−8.136$

degree of freedom df = n-1 = 19-1 = 18

$\alpha = 0.1$

$t_{(\frac{\alpha}{2},df)}=1.73$

t critical > t statistics

So, we accept the null hypothesis

C) So, the claim is wrong that ump distance is less than 16 feet.

Hence long jump distance must be greater than or equal to 16

5 0

3 years ago

One group (A) contains 330

katrin2010 [14]

Answer:

group A.)220/330

group B.)339/509

Step-by-step explanation:

2/3 of 330 is 220 therefore the people selected in group a to win $100 fuel cards will be 220/330

same thing for group B. 2/3 of 509 is 339 so the answer will be 339/509

(hope i helped:))

4 0

4 years ago

W-5/w-3= w-3/w-7 +1 solve the equation

34kurt

Answer:

w=5, -1

Step-by-step explanation:

added in the picture

7 0

2 years ago

Help&EXPLAIN <br> •••••••••••••••••••<br> Help plz

Stolb23 [73]

Answer:

diameter = 2.5 feet

Step-by-step explanation:

Circumference of a circle is given as C = πd

Circumference of the tree trunk = 7.85 ft

π = 3.14

Diameter of the tree trunk = d

Thus:

7.85 = 3.14*d

Divide both sides by 3.14

7.85/3.14 = 3.14*d/3.14

2.5 = d

d = 2.5 ft

3 0

3 years ago

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1),

lana [24]

Answer:

(9) $\frac{1}{12}$ (10) $\frac{1}{12}$ (11) $\frac{5}{12}$ (12) $\frac{1}{4}$ (13) $\frac{1}{6}$ 14) $\frac{5}{36}$ (15) $\frac{1}{12}$ (16)0

Step-by-step explanation:

The sample Space of the single die rolled twice is presented below:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}.

n(S)=36

(9)Probability of getting two numbers whose sum is 9.

The possible outcomes are: (3, 6), (4, 5), (5, 4)

$P(\text{two numbers whose sum})=\frac{3}{36}=\frac{1}{12}$

10) Probability of getting two numbers whose sum is 4.

The possible outcomes are: (1, 3),(2, 2),(3, 1),

$P(\text{two numbers whose sum})=\frac{3}{36}=\frac{1}{12}$

11.)Find the probability of getting two numbers whose sum is less than 7.

The possible outcomes are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)

$P(\text{two numbers whose sum is less than 7})=\frac{15}{36}=\frac{5}{12}$

12.Probability of getting two numbers whose sum is greater than 8

The possible outcomes are:(4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)

$P(\text{two numbers whose sum is greater than 8})=\frac{9}{36}=\frac{1}{4}$

(13)Probability of getting two numbers that are the same (doubles).

The possible outcomes are:(1, 1)(2, 2), (3, 3), (4, 4), (5, 5), (6, 6)

$P(\text{two numbers that are the same})=\frac{6}{36}=\frac{1}{6}$

14.Probability of getting a sum of 7 given that one of the numbers is odd.

The possible outcomes are: (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

$P(\text{getting a sum of 7 given that one of the numbers is odd.})=\frac{5}{36}$

(15)Probability of getting a sum of eight given that both numbers are even numbers.

The possible outcomes are: (2, 6), (4, 4), (6, 2)

$P(\text{getting a sum of eight given that both numbers are even numbers.})=\frac{3}{36}\\=\frac{1}{12}$

16.Probability of getting two numbers with a sum of 14.

$P(\text{getting two numbers with a sum of 14.})=\frac{0}{36}=0$

4 0

4 years ago