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4 years ago

Show how to multiply 6 x 298 using friendly numbers and then use properties and mental math.

1 answer:

Montano1993 [528]4 years ago

3 0

6 x 298 is the same as (6 x 300) - (6 x 2) (6 x 300) is the same as (6 x 3 x 100) So (6 x 3) = 18 (6 x 3 x 100) = (18 x 100) = 1,800 (6 x 2) = 12 So 6 x 298 = 1,800 - 12 = 17,88

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F(x)=2x + 2

Katen [24]

Answer:

3x - 3

Step-by-step explanation:

f(x) + g(x)

(2x + 2) + (x - 5)

3x - 3

7 0

3 years ago

Gabby bought 5.15 kg of apples and 1.6 kg of oranges how much fruit did she buy in all

solmaris [256]

Answer:

6.75kg of fruit

Step-by-step explanation:

5 + 1 = 6

.15 + .6 = .75

6 + .75 = 6.75

8 0

4 years ago

Read 2 more answers

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and

Bumek [7]

Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.04 x$

Here,

y = weight of a person (in kg)

x = height of a person (in cm)

The information provided is:

$\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045$

The significance level of the test is, α = 0.01.

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

Compute the weight of an adult male with height, x = 158 cm as follows:

$\hat y=-105+1.04 x$

$=-105+(1.04\times 158)\\=-105+164.32\\=59.32$

Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.

6 0

3 years ago

An appliance manufacturer stockpiles washers and dryers in a large warehouse for shipment to retail stores. Sometimes in handlin

Over [174]

Answer:

This is strong evidence that more than 2% get damaged

Step-by-step explanation:

The company goal is to keep the proportion of damaged machines below 2%

$H_o: p = 0.02$

$H_a: p > 0.02$

One day an inspector randomly checks 66 washers and finds that 6 of them have scratches or dents

So, x = 6

n = 66

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{6}{66}$

Formula : $z=\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$z=\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$z=\frac{\frac{6}{66}-0.02}{\sqrt{\frac{0.02(1-0.02)}{66}}}$

$z=4.114$

So, the value of test statistic is 4.114

2) What is the P-value of the test statistic?

So, p value using calculator = .00002

p value < α

So, we accept the alternate hypothesis

So, This is strong evidence that more than 2% get damaged

8 0

3 years ago

Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and

Nadya [2.5K]

Answer:

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

Translating the word problem into an algebraic equation;

For the total number of bills;

$x + y = 47$ .........equation 1

For the total number of tips;

$x + 5y = 131$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

$x = 47 - y$ .......equation 3

Substituting "x" into equation 2;

$(47 - y) + 5y = 131$

Simplifying the equation, we have;

$47 + 4y = 131$

$4y = 131 - 47$

$4y = 84$

$y = \frac {84}{4}$

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

$x = 47 - 21$

x = 26 (For the $1 bill).

6 0

3 years ago