Pasta costs £1.50 per kg.
How much does 600g of pasta cost?

Answers

Answer 1

Answer:

The solution is, 600g of pasta cost £ 0.9.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

Pasta costs £1.50 per kg.

now we have to find,

How much does 600g of pasta cost

we know,

1 kg = 1000 grm.

so, we get,

1000 g Pasta costs £1.50

so, 1 g Pasta costs £1.50/1000

so, 600 g Pasta costs £1.50/1000 * 600

= £ 0.9

Hence, The solution is, 600g of pasta cost £ 0.9.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

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Write the equation of the line in slope-intercept form that passes through (3, 10) and (2, 4)

Answers

Answer:

y=6x-8

Step-by-step explanation:

10-4/3-2

m=6/1

y=mx+b

y=6x+b

4=6(2)+b

4=12+b

-8=b

y=6x-8

I really need help with #1 a and b

Answers

1a. Gabriella uses these services:
Checking (she has an account)
Debit card

1b. At A+ Bank, Gabriella's monthly charges will be
$1 (for checking) + $2.50 (for debit card) = $3.50

At NextGen Bank, Gabriella's monthly charges will be
0 (for checking) + $0.50*20 (for debit card) = $10.00

1c. A+ Bank is a better deal for Gabriella. The fixed fees there are lower than the variable fee at NextGen Bank because she uses her debit card so much.

The height of a cylinder is decreasing at a constant rate of 1 centimeters per minute, and the volume is decreasing at a rate of 2341 cubic centimeters per minute. At the instant when the height of the cylinder is 1010 centimeters and the volume is 577 cubic centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=pi r^2 h. Round your answer to three decimal places.

Answers

Let's organize our given information.

$(dh)/(dt)=-1$

$(dV)/(dt)=-2341$

$(dr)/(dt)=?, h=1010, V=577$

$V=\pi r^2h$

What I'd like to do is solve for $r$ first, it'll help later.

$577=\pi r^2(1010)$

$r=\sqrt{(577)/(1010\pi)}$

$r=0.426$

Now, we can differentiate our formula for the volume of a cylinder to find the rate of change of the radius.

$V=\pi r^2h$

Use the product rule of differentiation.

$(dV)/(dt)=2\pi rh(dr)/(dt)+\pi r^2(dh)/(dt)$

Plug in the information we are given.

$-2341=2\pi (0.426)(1010)(dr)/(dt)+\pi (0.426)^2(-1)$

Solve for $(dr)/(dt)$ .

$-2341=860.52\pi(dr)/(dt)+(0.426)^2\pi$

$-2341.57=860.52\pi(dr)/(dt)$

$(dr)/(dt)=-0.866$

The rate of change of the radius is -0.866 centimeters per minute.

Hope this helps!

Emma uses 250 centimeters of crepe paper to make streamers. How many meters did Emma use

Answers

Answer:

2.5

Step-by-step explanation:

250 cm equals 2.5 m

Answer:

25 is what I got

Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypothesis test evaluating whether the average age at which gifted children first count to 10 is different than the general average of 32 months. What is the p-value of the hypothesis test? Choose the closest answer.

Answers

Answer:

$p_v =2*P(t_((35))<-1.822)=0.0885$

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

## Min. 1st Qu. Median Mean 3rd Qu. Max.

## 21.00 28.00 31.00 30.69 34.25 39.00

## Sd

## [1] 4.314887

Data given and notation

$\bar X=30.69$ represent the mean

$s=4.3149$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =32$ 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 check if the mean is different than 32, the system of hypothesis would be:

Null hypothesis: $\mu = 32$

Alternative hypothesis: $\mu \neq 32$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=(\bar X-\mu_o)/((s)/(√(n)))$ (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:

$t=(30.69-32)/((4.3149)/(√(36)))=-1.822$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=36-1=35$

Since is a two sided test the p value would be:

$p_v =2*P(t_((35))<-1.822)=0.0885$

Order of operations (41-3^2)-(4+4)

Answers

Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.

So (41-3^2)-(4+4)=

41-9-8 = 32-8 = 24

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