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1 year ago

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A basket of 40 pairs of pliers at a discount hardware store includes 5 pairs of 6-inch pliers. A second basket contains 20 hamme

rs, including 3 large hammers. What is the probability of drawing a 6-inch pair of pliers from the first basket without looking?

2 answers:

Kryger [21]1 year ago

4 0

First, add all the numbers together, which is 68. Then divided 100 by 68, which gives you the number 1.47, and that's your answer.

Ket [755]1 year ago

4 0

Answer: Our required probability is $\frac{1}{8}$

Step-by-step explanation:

Since we have given that

Number of pairs of pilers = 40

Number of pairs of 6-inch pilers = 5

So, Probability of drawing a 6-inch pair of pilers from the first basket without looking is given by

$\frac{\text{Number of favourable outcome}}{\text{ Total number of outcomes}}\\\\=\frac{5}{40}\\\\=\frac{1}{8}$

Because in another basket of hammers, there is no pilers.

Hence, our required probability is $\frac{1}{8}$

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Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed

cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

$a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour$

So, distance between the two planes after one hour will be

$Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles$

So, the distance between them is 230.65 miles.

6 0

2 years ago

Read 2 more answers

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

4 0

2 years ago

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

1 year ago

Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)

Mamont248 [21]

The answer is 890 best answer

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1 year ago

one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a

Flura [38]

1/5 •260=52 calories

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2 years ago