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4 years ago

What is the answer with work of 14.4 = -2.4b

Mathematics

2 answers:

Airida [17]4 years ago

4 0

-2.4b = 14.4

Inverse operation

-2.4b/-2.4 = 14.4/-2.4

b = -6

Answer: b = -6

tatiyna4 years ago

4 0

Divide both sides with -2.4 to make b by itself.
You get -6

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17. Lyndsey is at basketball practice preparing to shoot free throws. The probability of Lyndsay

hram777 [196]

Answer:

Probabilty that Lindsay makes her first free throw on the third shot $=0.027$

Step-by-step explanation:

Given:

Probability of Lindsay making a free throw $=82\% =\frac{82}{100}=0.82$

To find probability of Lindsay making her first free throw in the third shot.

If Lindsay makes her first free throw on the third shot then its means the first two shots must have been unsuccessful ones.

Probability of Lindsay not making a free throw $1-0.82=0.18$

First shot ⇒ $P(unsuccessful)=0.18$

Second shot ⇒ $P(unsuccessful)=0.18$

Third shot ⇒ $P(successful)=0.82$

∴ Probabilty that Lindsay makes her first free throw on the third shot $=0.18\times0.18\times0.82=0.027$

5 0

4 years ago

Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at

Marianna [84]

Answer:

Meth Barie's ice cream shop should not introduce the new ice cream flavor.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.01

Sample mean, $\bar{x}$ = 4.4

Sample size, n = 15

Alpha, α = 0.1

Sample standard deviation, s = 1.6 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 4.01\\H_A: \mu > 4.01$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.4 - 4.0}{\frac{1.6}{\sqrt{15}} } = 0.968$

Option B) 0.968

Rejection region:

Now, $t_{critical} \text{ at 0.10 level of significance, 9 degree of freedom } = 1.345$

So the rejection region would be a value of t-statistic greater than 1.345.

Option B) t > 1.345

Conclusion:

Since,

$t_{stat} < t_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis. Meth Barie's ice cream shop should not introduce the new ice cream flavor.

8 0

4 years ago

The diameter of a quarter is 24.26 mm and the diameter of a nickel is 21.21 mm. How much bigger is the distance around a quarter

olga55 [171]

Answer:

9.577 mm.

Step-by-step explanation:

We have been given that the diameter of a quarter is 24.26 mm and the diameter of a nickel is 21.21 mm.

Let us find the circumference of quarter and nickel using circumference of circle formula.

$\text{Circumference of circle}=2\pi r$ , where r represents radius of the circle.

Since we know that diameter of circle is 2 times its radius, so let us find radius of quarter and nickel by dividing their diameter by 2.

$\text{Radius of quarter}=\frac{24.26}{2}$

$\text{Radius of quarter}=12.13$

$\text{Radius of nickel}=\frac{21.21}{2}$

$\text{Radius of nickel}=10.605$

$\text{Circumference of quarter}=2\times 3.14\times 12.13$

$\text{Circumference of quarter}=76.1764$

Therefore, circumference of quarter is 76.1764 mm.

Let us find circumference of nickel.

$\text{Circumference of nickel}=2\times 3.14\times 10.605$

$\text{Circumference of nickel}=66.5994$

Let us subtract circumference of nickel from circumference of quarter.

$\text{The difference between distance around quarter and nickel}=76.1764-66.5994$

$\text{The difference between distance around quarter and nickel}=9.577$

Therefore, the distance around a quarter is 9.577 millimeters bigger than a nickel.

7 0

4 years ago

What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5 1/2

leonid [27]

Answer:

$44.31

Step-by-step explanation:

Regular Price = $42

Sales Tax Rate = 5 1/2% or 5.5%

The total cost would be the regular price PLUS the sales tax. We find the sales tax by finding 42's 5.5%.

First, converting percentage to decimal (dividing by 100):

5.5% = 5.5/100 = 0.055

Now finding 5.5% of $42:

42 * 0.055 = $2.31

Now, the total price is the SUM of regular and this sales tax:

Total Price = 42 + 2.31 = $44.31

6 0

3 years ago

The sum of seven and the quotient of a number x and 8

ryzh [129]

Answer:

The answer is 0.875.

Step-by-step explanation:

7 / 8 = 0.875.

0.875 x 8 = 7. (To check answer)

7 0

3 years ago